Ultra-High Performance Concrete:

A State-of-the-Art Report for the 

Bridge Community

Publication No. FHWA-HRT-13-060 JUNE 2013

Research, Development, and Technology

Turner-Fairbank Highway Research Center

6300 Georgetown Pike

McLean, VA 22101-2296

Cover-HRT-13-060.indd 1 6/7/13 11
FOREWORD

Ultra-high performance concrete (UHPC) is an advanced construction material that affords new 

opportunities for the future of the highway infrastructure. The Federal Highway Administration 

has been engaged in research on the optimal uses of UHPC in the highway bridge infrastructure 

since 2001 through its Bridge of the Future initiative. This report presents the state of the art in 

UHPC with regard to uses in the highway transportation infrastructure. Compiled from hundreds 

of references representing research, development, and deployment efforts around the world, this 

report provides a framework for gaining a deeper understanding of UHPC as well as a platform 

from which to increase the use of this class of advanced cementitious composite materials. This 

report will assist stakeholders, including State transportation departments, researchers, and 

design consultants, to grasp the capabilities of UHPC and thus use the material to address 

pressing needs in the highway transportation infrastructure. 

Jorge Pagán-Ortiz

Director, Office of Infrastructure

Research and Development

Notice

This document is disseminated under the sponsorship of the U.S. Department of Transportation 

in the interest of information exchange. The U.S. Government assumes no liability for the use of 

the information contained in this document.

The U.S. Government does not endorse products or manufacturers. Trademarks or 

manufacturers’ names appear in this report only because they are considered essential to the 

objective of the document.

Quality Assurance Statement

The Federal Highway Administration (FHWA) provides high-quality information to serve 

Government, industry, and the public in a manner that promotes public understanding. Standards 

and policies are used to ensure and maximize the quality, objectivity, utility, and integrity of its 

information. FHWA periodically reviews quality issues and adjusts its programs and processes to 

ensure continuous quality improvement.
TECHNICAL REPORT DOCUMENTATION PAGE

1. Report No.

FHWA-HRT-13-060

2. Government Accession No. 3. Recipient’s Catalog No.

4. Title and Subtitle

Ultra-High Performance Concrete:

A State-of-the-Art Report for the Bridge Community

5. Report Date

June 2013

6. Performing Organization Code: 

7. Author(s)

Henry G. Russell and Benjamin A. Graybeal

8. Performing Organization Report No. 

9. Performing Organization Name and Address

Henry G. Russell, Inc.

Engineering Consultant

720 Coronet Road

Glenview, IL 60025-4457

10. Work Unit No.

11. Contract or Grant No.

DTFH61-10-D-00017

12. Sponsoring Agency Name and Address

Office of Infrastructure Research & Development

Federal Highway Administration

6300 Georgetown Pike

McLean, VA 22101-2296

13. Type of Report and Period Covered

Final: 2011-2012

14. Sponsoring Agency Code

HRDI-40

15. Supplementary Notes

This report was developed by Henry G. Russell, Inc., under subcontract to Professional Service Industries, Inc.,

of Herndon, VA, as part of FHWA’s “Support Services for the Structures Laboratories” contract. Ben Graybeal 

(FHWA) provided technical oversight/assistance and drafted portions of the final report.

16. Abstract

The term Ultra-High Performance Concrete (UHPC) refers to a relatively new class of advanced cementitious 

composite materials whose mechanical and durability properties far surpass those of conventional concrete. This 

class of concrete has been demonstrated to facilitate solutions that address specific problems in the U.S. highway 

bridge infrastructure. Initial material development research on UHPC began more than two decades ago. First 

structural deployments began in the late 1990s. First field deployments in the U.S. highway transportation 

infrastructure began in 2006. For this study, UHPC-class materials are defined as cementitious-based composite 

materials with discontinuous fiber reinforcement that exhibit compressive strength above 21.7 ksi (150 MPa), 

pre- and post-cracking tensile strength above 0.72 ksi (5 MPa), and enhanced durability via a discontinuous pore 

structure.

The report documents the state of the art with regard to the research, development, and deployment of UHPC 

components within the U.S. highway transportation infrastructure. More than 600 technical articles and reports 

covering research and applications using UHPC have been published in English in the last 20 years, with many 

more published in other languages. The report includes information about materials and production, mechanical 

properties, structural design and structural testing, durability and durability testing, and actual and potential 

applications. The report concludes with recommendations for the future direction for UHPC applications in the 

United States.

17. Key Words

UHPC, ultra-high performance concrete, 

fiber-reinforced concrete, bridges, structural 

performance, mechanical performance, durability, 

applications

18. Distribution Statement

No restrictions. This document is available through the 

National Technical Information Service, Springfield, VA 

22161.

19. Security Classif. (of this report)

Unclassified

20. Security Classif. (of this page)

Unclassified

21. No. of Pages

171

22. Price

N/A

Form DOT F 1700.7 (8-72) Reproduction of completed page authorized
ii

SI* (MODERN METRIC) CONVERSION FACTORS 

APPROXIMATE CONVERSIONS TO SI UNITS

Symbol When You Know Multiply By To Find Symbol 

LENGTH

in inches 25.4 millimeters mm 

ft feet 0.305 meters m 

yd yards 0.914 meters m 

mi miles 1.61 kilometers km 

AREA 

in2square inches 645.2 square millimeters mm2

ft2 square feet 0.093 square meters m

2

yd2 square yard 0.836 square meters m

2

ac acres 0.405 hectares ha

mi2square miles 2.59 square kilometers km2

VOLUME 

fl oz fluid ounces 29.57 milliliters mL 

gal gallons 3.785 liters L 

ft3 cubic feet 0.028 cubic meters m

3 

yd3 cubic yards 0.765 cubic meters m

3 

NOTE: volumes greater than 1000 L shall be shown in m3

MASS 

oz ounces 28.35 grams g

lb pounds 0.454 kilograms kg

T short tons (2000 lb) 0.907 megagrams (or "metric ton") Mg (or "t") 

TEMPERATURE (exact degrees) 

o

F Fahrenheit 5 (F-32)/9 Celsius oC 

or (F-32)/1.8 

ILLUMINATION 

fc foot-candles 10.76 lux lx

fl foot-Lamberts 3.426 candela/m2 cd/m2

FORCE and PRESSURE or STRESS 

lbf poundforce 4.45 newtons N 

lbf/in2poundforce per square inch 6.89 kilopascals kPa 

APPROXIMATE CONVERSIONS FROM SI UNITS 

Symbol When You Know Multiply By To Find Symbol 

LENGTH

mm millimeters 0.039 inches in 

m meters 3.28 feet ft 

m meters 1.09 yards yd 

km kilometers 0.621 miles mi 

AREA 

mm2square millimeters 0.0016 square inches in2 

m

2

square meters 10.764 square feet ft2 

m

2

square meters 1.195 square yards yd2 

ha hectares 2.47 acres ac

km2 square kilometers 0.386 square miles mi2 

VOLUME 

mL milliliters 0.034 fluid ounces fl oz 

L liters 0.264 gallons gal 

m

3 cubic meters 35.314 cubic feet ft3 

m

3 cubic meters 1.307 cubic yards yd3 

MASS 

g grams 0.035 ounces oz

kg kilograms 2.202 pounds lb

Mg (or "t") megagrams (or "metric ton") 1.103 short tons (2000 lb) T 

TEMPERATURE (exact degrees)

oC Celsius 1.8C+32 Fahrenheit o

F 

ILLUMINATION 

lx lux 0.0929 foot-candles fc 

cd/m2candela/m

2

0.2919 foot-Lamberts fl

FORCE and PRESSURE or STRESS 

N newtons 0.225 poundforce lbf 

kPa kilopascals 0.145 poundforce per square inch lbf/in2

*SI is the symbol for the International System of Units. Appropriate rounding should be made to comply with Section 4 of ASTM E380. 

(Revised March 2003)
iii

TABLE OF CONTENTS

CHAPTER 1. INTRODUCTION................................................................................................ 1

BACKGROUND ....................................................................................................................... 1

OBJECTIVE ............................................................................................................................. 2

SCOPE....................................................................................................................................... 2

TERMINOLOGY ..................................................................................................................... 3

SUSTAINABILITY .................................................................................................................. 3

COSTS ....................................................................................................................................... 4

CHAPTER 2. MATERIALS AND PRODUCTION.................................................................. 5

CONSTITUENT MATERIALS AND MIX PROPORTIONS............................................. 5

MIXING AND PLACING........................................................................................................ 8

CURING .................................................................................................................................... 9

QUALITY CONTROL TESTING........................................................................................ 11

SUMMARY OF MATERIALS AND PRODUCTION ....................................................... 12

CHAPTER 3. MECHANICAL PROPERTIES ....................................................................... 13

COMPRESSIVE STRENGTH.............................................................................................. 13

TENSILE STRENGTH.......................................................................................................... 16

MODULUS OF ELASTICITY.............................................................................................. 19

POISSON’S RATIO ............................................................................................................... 20

FATIGUE BEHAVIOR ......................................................................................................... 21

THERMAL PROPERTIES ................................................................................................... 22

Coefficient of Thermal Expansion........................................................................................ 22

Heat of Hydration ................................................................................................................. 23

BOND STRENGTH................................................................................................................ 23

IMPACT RESISTANCE........................................................................................................ 23

CREEP..................................................................................................................................... 23

SHRINKAGE.......................................................................................................................... 24

SUMMARY OF MECHANICAL PROPERTIES............................................................... 25

CHAPTER 4. STRUCTURAL DESIGN AND STRUCTURAL TESTING......................... 27

FLEXURAL AND AXIAL LOADS ...................................................................................... 27

Flexural Members................................................................................................................. 27

Moment Redistribution ......................................................................................................... 30

Compression Members ......................................................................................................... 30

Tension Members.................................................................................................................. 31

Bearing.................................................................................................................................. 31

SHEAR AND TORSION........................................................................................................ 32

Sectional Design ................................................................................................................... 32

Punching Shear ..................................................................................................................... 33

Interface Shear ...................................................................................................................... 35

Shear Connections ................................................................................................................ 36

Torsion .................................................................................................................................. 36
iv

PRESTRESSING.................................................................................................................... 37

Stress Limits.......................................................................................................................... 37

Loss of Prestress ................................................................................................................... 37

REINFORCEMENT DETAILS............................................................................................ 37

DEVELOPMENT AND SPLICES OF REINFORCEMENT ............................................ 37

Deformed Bars in Tension .................................................................................................... 37

Deformed Bars in Compression............................................................................................ 38

Lap Splices............................................................................................................................ 38

Standard Hooks in Tension................................................................................................... 39

Welded Wire Reinforcement ................................................................................................ 39

Shear Reinforcement............................................................................................................. 39

Development of Prestressing Strand..................................................................................... 39

STRUCTURAL ANALYSIS.................................................................................................. 40

DESIGN GUIDELINES......................................................................................................... 41

Design Guidelines in Australia ............................................................................................. 41

Design Document from Japan Society of Civil Engineers ................................................... 42

AFGC-SETRA Recommendations....................................................................................... 43

SUMMARY OF STRUCTURAL DESIGN.......................................................................... 44

CHAPTER 5. DURABILITY AND DURABILITY TESTING ............................................. 45

INTRODUCTION .................................................................................................................. 45

PERMEABILITY ................................................................................................................... 45

FREEZE-THAW RESISTANCE.......................................................................................... 46

SCALING RESISTANCE...................................................................................................... 47

CARBONATION.................................................................................................................... 47

ABRASION RESISTANCE................................................................................................... 48

SULFATE RESISTANCE ..................................................................................................... 48

RESISTANCE TO ALKALI-SILICA REACTIVITY........................................................ 48

MARINE EXPOSURE........................................................................................................... 48

FIRE RESISTANCE .............................................................................................................. 48

SUMMARY OF DURABILITY PROPERTIES ................................................................. 49

CHAPTER 6. ACTUAL AND POTENTIAL APPLICATIONS............................................ 51

NORTH AMERICA ............................................................................................................... 51

EUROPE.................................................................................................................................. 58

ASIA AND AUSTRALASIA.................................................................................................. 61

REALIZED AND POTENTIAL SECURITY APPLICATIONS ...................................... 64

OTHER POTENTIAL APPLICATIONS ............................................................................ 64

CHAPTER 7. FUTURE DIRECTION ..................................................................................... 67

OWNER ISSUES.................................................................................................................... 67

DESIGN ISSUES .................................................................................................................... 68

PRODUCTION ISSUES ........................................................................................................ 69

RESEARCH NEEDS.............................................................................................................. 69

SUMMARY OF NEEDS ........................................................................................................ 69
v

REFERENCES............................................................................................................................ 71

BIBLIOGRAPHY..................................................................................................................... 105
vi

LIST OF FIGURES

Figure 1. Equation. Compressive strength gain at any age after casting from Graybeal.............. 14

Figure 2. Equation. Relationship between curing temperature and initiation of rapid 

compressive strength gain from Graybeal .............................................................................. 14

Figure 3. Equation. Relationship between time after mix initiation and compressive strength

as a function of curing temperature from Graybeal................................................................ 15

Figure 4. Graph. Tensile stress-strain response of UHPC ............................................................ 16

Figure 5. Graph. Idealized uniaxial tensile mechanical response of a UHPC .............................. 17

Figure 6. Equation. Concrete tensile strength approximations..................................................... 18

Figure 7. Equation. Graybeal equation for UHPC modulus of elasticity ..................................... 20

Figure 8. Equation. Graybeal equation for UHPC modulus of elasticity ..................................... 20

Figure 9. Equation. Ma et al. equation for UHPC modulus of elasticity...................................... 20

Figure 10. Photo. Flexural test of an AASHTO Type II girder made of UHPC .......................... 28

Figure 11. Equation. Strength of columns.................................................................................... 31

Figure 12. Equation. Shear strength of UHPC beams .................................................................. 42

Figure 13. Photo. Mars Hill Bridge, Wapello County, IA............................................................ 55

Figure 14. Photo. Route 64 over Cat Point Creek, Richmond County, VA ................................. 56

Figure 15. Photo. Jakway Park Bridge, Buchanan County, IA..................................................... 56

Figure 16. Illustration. Cross section of pi-shaped girder............................................................. 56

Figure 17. Illustration. Cross section showing CIP UHPC connection between precast beams .. 57

Figure 18. Photo. Pedestrian bridge, Sherbrooke, Quebec, Canada ............................................. 58

Figure 19. Photo. Glenmore/Legsby pedestrian bridge, Calgary, Alberta, Canada...................... 58

Figure 20. Photo. Sakata-Mirai bridge, Sakata, Japan.................................................................. 63

Figure 21. Photo. Footbridge of Peace, Seoul, South Korea ........................................................ 64

Figure 22. Photo. Experimental precast pile made of UHPC ....................................................... 66
vii

LIST OF TABLES

Table 1. Typical composition of Ductal®....................................................................................... 5

Table 2. UHPC mix proportions of CRC by weight....................................................................... 6

Table 3. UHPC mix proportions from Teichmann and Schmidt .................................................... 7

Table 4. UHPC mix proportions of Cor-Tuf by weight.................................................................. 7

Table 5. UHPC mix proportions for CEMTECmultiscale ................................................................... 8

Table 6. Parameters relevant to equation presented in figure 3.................................................... 15

Table 7. Values of Poisson’s ratio ................................................................................................ 21

Table 8. Values of coefficients of thermal expansion................................................................... 22

Table 9. Range of UHPC material properties............................................................................... 26

Table 10. Reinforcement used in connections.............................................................................. 38

Table 11. Measured transfer and development lengths ................................................................ 40

Table 12. UHPC properties used in finite element modeling ....................................................... 41

Table 13. Air-void system parameters.......................................................................................... 46

Table 14. UHPC applications in North America .......................................................................... 51

Table 15. UHPC applications in Europe....................................................................................... 59

Table 16. UHPC applications in Asia and Australia..................................................................... 61

Table 17. Other potential applications of UHPC.......................................................................... 66

1

CHAPTER 1. INTRODUCTION

BACKGROUND

Ultra-high performance concrete (UHPC) in its present form became commercially available in 

the United States in about 2000.

(1)

The Federal Highway Administration (FHWA) began 

investigating the use of UHPC for highway infrastructure in 2001 and has been working with 

State transportation departments to deploy the technology since 2002. This work has led to the 

use of UHPC in several bridge applications, including precast, prestressed girders; precast waffle 

panels for bridge decks; and as a jointing material between precast concrete deck panels and 

girders and between the flanges of adjacent girders. At the same time, research work has been 

underway at several universities in the United States.

In Canada, the first UHPC bridge was constructed in 1997.(2)This pedestrian bridge consists of a 

precast, post-tensioned space truss. At least 26 bridges have been built in Canada using UHPC in 

one or more components.

In Germany, a 12 million euro research program, begun in 2005, has just been completed.

(3)

That

program, funded by the German Research Foundation, involved 34 research projects at more 

than 20 research institutes in Germany. The purpose of the program was to elaborate on the basic 

knowledge so that reliable technical standards could be developed. The goal was to make UHPC 

a reliable, commonly available, economically feasible, regularly applied material. Several 

bridges that use UHPC have been built in Germany.

In 2002, the first recommendations on the use of UHPC in structures were published in France.

(4)

This initial document addressed mechanical properties, structural design, and durability. Since 

2002, several bridges have been built in France using UHPC. In 2009, several papers published 

in French recommended updates to the recommendations.

(5,6,7) A similar set of design 

recommendations was developed for use in Japan.(8)

Other countries with bridges using UHPC include Australia, Austria, Croatia, Italy, Japan, 

Malaysia, the Netherlands, New Zealand, Slovenia, South Korea, and Switzerland. The literature 

search identified more than 90 completed bridges using UHPC in one or more components. A 

major research program is currently underway in South Korea to investigate the use of UHPC in 

cable-stayed bridges.(9)It is obvious, therefore, that UHPC is receiving worldwide attention.

The evolution of UHPC into its present formulation has been a gradual process occurring over 

many years. Several papers have summarized this development. Naaman and Wille identified 

many of the significant advances in the technology over the last 5 decades.(10) Buitelaar 

summarized the early developments in the Netherlands and Denmark.(11) Richard and Rossi 

described the developments in France.(12,13,14)

As part of its ongoing activities to implement UHPC in the United States, FHWA has requested a 

state-of-the-art report about the research, development, and deployment of UHPC. This

document reports what has been done and looks ahead to what needs to be done to achieve 

appropriate applications in the U.S. highway infrastructure.
2

OBJECTIVE

The objective of this report is to document the state of the art with regard to the research, 

development, and deployment of UHPC components within the U.S. highway transportation 

infrastructure. In addition, because much of the development and initial deployment of UHPC 

has occurred internationally, the report also documents work completed outside the 

U.S. highway sector. In addition, the report addresses what is needed to allow future wider 

implementation of UHPC.

SCOPE

Similar to how Graybeal defines it, this document defines UHPC-class materials as cementitiousbased composite materials with discontinuous fiber reinforcement, compressive strengths above 

21.7 ksi (150 MPa), pre-and post-cracking tensile strengths above 0.72 ksi (5 MPa), and 

enhanced durability via their discontinuous pore structure.(1) However, the published literature

does not always include sufficient information to determine whether the tested materials 

conformed to this definition. Unless an obvious reason existed to exclude an article, it is included 

in this report.

The authors identified more than 600 references relevant to this report. Some topics are 

described in more than one article by the same or similar combinations of authors. Some articles 

also provide updates on previous articles on the same topic. For this report, the most 

comprehensive documents readily available and written in English are used for most of the cited 

references. The other articles are listed in the Bibliography. Based on this approach, the majority 

of articles in this report come from the following publications:

 FHWA reports.

 Proceedings of the International Symposium on Ultra High Performance Concrete, 

Kassel, Germany, September 2004.

 Proceedings of the Second International Symposium on Ultra High Performance 

Concrete, Kassel, Germany, March 2008.

 Proceedings of the International Workshop on Ultra High Performance Fibre Reinforced 

Concrete—Designing and Building with UHPFRC: State of the Art Development,

November 2009, Marseille, France.

 Proceedings of Hipermat 2012 3rd International Symposium on UHPC and 

Nanotechnology for High Performance Construction Materials, Kassel, Germany, March 

2012.

The articles published in the proceedings of the international meetings are usually summaries of 

the research or applications and written in English. As such, the articles do not contain sufficient 

information for use in developing design guides or specifications. For more details, the articles 
3

often refer to a full report written in a language other than English. Use of these reports requires

either a comprehension of the other language or an English translation.

TERMINOLOGY

Various terms are used to refer to cementitious-based composite materials with high compressive 

strength and enhanced durability. These include the following:

 Compact reinforced composite (CRC).

 Densified small-particle (DSP) concrete.

 Fiber-reinforced high-performance concrete (FRHPC).

 High-performance fiber reinforced cement composite (HPFRCC).

 Macro defect free (MDF) concrete.

 Multi-scale fiber-reinforced concrete (MSFRC).

 Reactive powder concrete (RPC).

 Steel fibrous cement-based composite (SFCBC).

 Ultra-high performance concrete (UHPC).

 Ultra-high performance fiber-reinforced cementitious composite (UHPFRCC).

 Ultra-high performance fiber-reinforced concrete (UHPFRC).

 Ultra-high strength concrete (UHSC).

 Ultra-high strength cement-based composite.

 Ultra-high strength cementitious material.

 Ultra-high strength fiber-reinforced cementitious composite.

In addition, various patterns of hyphens are used to form compound adjectives. For this report, 

the product is generally called ultra-high performance concrete or UHPC unless it is necessary to 

differentiate the different types. Descriptions of some of the different types are provided by 

Rossi.

(13) Although calling the different types by a single name may not be technically correct, it 

simplifies understanding the available information.

This report also refers to conventional concrete. Conventional concrete is composed of 

cementitious materials, fine and coarse aggregates, water, and admixtures. Compressive

strengths are assumed to be in the range of 4 to 8 ksi (28 to 55 MPa).

SUSTAINABILITY

Few articles have been published about the sustainability of UHPC compared with the number 

published about its material and engineering properties. Several authors have addressed the topic 

because of the increasing requirement to consider sustainability.

Racky determined that the energy and raw material consumption to produce a square reinforced 

column made of UHPC were 74 and 58 percent, respectively, of the quantities required for a 

Grade 40/50 (6/7 ksi) column.(15) He also pointed out that UHPC had greater frost and deicing 

salt resistance, a lower rate of carbonation, and greater chloride resistance than conventional 

concretes. Consequently, highway structures made with UHPC will have lower maintenance and 
4

repair costs in the future compared with conventional concrete bridges. However, sufficient data 

were lacking to perform realistic life cycle cost analyses.

Schmidt and Jerebic reported that the energy demanded for production of 1.3 yd3(1 m3) of

UHPC was approximately double that for conventional concrete.(16) However, when the total 

energy demand to construct the Gaertnerplatz bridge using UHPC and steel tubes was compared 

with the energy demand for an equivalent conventional prestressed concrete bridge, the increase 

was reduced to 25 percent. The largest component of energy was for the production of the steel 

tubes. If the steel tubes could be replaced by UHPC tubes, the estimated energy demand would 

drop by about 50 percent. When the CO2 contributions from construction to the greenhouse 

effect were considered, the UHPC-steel combination had the largest value, the UHPC tube the 

lowest, and the prestressed concrete bridge was intermediate.

Sedran, Durand, and de Larrard reported that UHPC called Ceracem could be crushed and 

separated into sand and fibers.(17)The recycled sand could then be used as a replacement for river 

sand in self-leveling concrete with no loss of fluidity and no decrease in compressive strength.

Stengel and Schießl reported that the environmental impact of UHPC production was mainly 

caused by the production of the steel fibers, portland cement, and high-range water-reducing 

admixtures.

(18)

The effect of heat curing UHPC was not taken into account. In another study, lifecycle assessments of bridge structures were made using German standard Deutsches Institut für 

Normung (DIN) ISO 14040 ff.(19,20)The research concluded that the environmental impact of 

structures made with state-of-the-art UHPC was up to 2.5 times greater than with conventional 

concrete. The environmental impact could be decreased by reducing the amount of portland

cement, steel fibers, and high-range water-reducing admixtures in the UHPC.

COSTS

The initial unit quantity cost of UHPC far exceeds that of conventional concrete. Consequently, 

applications have focused on optimizing its use by reducing concrete member thickness,

changing concrete structural shapes, or developing solutions that address shortcomings with 

existing non-concrete structural materials. As discussed in chapter 5, UHPC is a very durable 

product, and structures that use it are expected to have a longer service life and require less 

maintenance than structures built with conventional concrete.

Piotrowski and Schmidt conducted a life cycle cost analysis of two replacement methods for the 

Eder bridge in Felsberg, Germany.(21) One method used precast UHPC box girders filled with 

lightweight concrete. The second method used conventional prestressed concrete bridge 

members. Although the UHPC had higher initial costs, the authors predicted the life cycle cost 

over 100 years would be less for the UHPC bridge.
5

CHAPTER 2. MATERIALS AND PRODUCTION

CONSTITUENT MATERIALS AND MIX PROPORTIONS

UHPC formulations often consist of a combination of portland cement, fine sand, silica fume, 

high-range water-reducing admixture (HRWR), fibers (usually steel), and water. Small 

aggregates are sometimes used, as well as a variety of chemical admixtures. Different 

combinations of these materials may be used, depending on the application and supplier. Some 

of these are described in this section.

The UHPC used most often in North America for both research and applications is a commercial 

product known as Ductal®. Table 1 shows a typical composition of this material.

(22)

Table 1. Typical composition of Ductal®

Material lb/yd3kg/m3

Percentage

by Weight

Portland Cement 1,200 712 28.5

Fine Sand 1,720 1,020 40.8

Silica Fume 390 231 9.3

Ground Quartz 355 211 8.4

HRWR 51.8 30.7 1.2

Accelerator 50.5 30.0 1.2

Steel Fibers 263 156 6.2

Water 184 109 4.4

Aarup reported that CRC, developed by Aalborg Portland in 1986, consisted of large quantities 

of steel fibers (2 to 6 percent by volume), large quantities of silica fume, and a water-binder ratio 

of 0.16 or lower.(23)

The following recommendations for mix proportions were developed for use with commercially 

available constituent materials:(24)

 Cement with a moderate fineness and C3A content significantly lower than 8 percent.

 Sand-to-cement ratio of 1.4 for a maximum grain size of 0.8 mm (0.03 inches).

 Silica fume with very low carbon content at 25 percent of the weight of cement.

 Glass powder with a median particle size of 67 x 10-6inches (1.7 μm) at 25 percent of the 

weight of cement.

 High-range water-reducing admixture.

 Water-cement ratio of about 0.22.

 Steel fibers at 2.5 percent by volume.
6

By optimizing the cementitious matrix for compressive strength, packing density, and 

flowability; using very high strength, fine-diameter steel fibers; and tailoring the mechanical 

bond between the steel fiber and cement matrix, 28-day compressive strengths in excess of 30 ksi

(200 MPa) on 2-inch (50-mm) cubes were achieved with no heat or pressure curing.(25)In 

addition, a tensile strength of 5.0 ksi (34.6 MPa) at a strain of 0.46 percent was obtained. The 

UHPC incorporated materials available in the United States and was mixed in a conventional 

concrete mixer. Table 2 gives one mix proportion.

Table 2. UHPC mix proportions of CRC by weight(25)

Material Proportions

Portland Cement 1.0

Fine Sand10.92

Silica Fume 0.25

Glass Powder 0.25

HRWR 0.0108

Steel Fibers 0.22 to 0.31

Water 0.18 to 0.20

1 Maximum size of 0.008 inches (0.2 mm)

Habel et al. reported that it is possible to produce self-consolidating UHPC for use in precast 

products and cast-in-place (CIP) applications without requiring heat or pressure treatment during 

curing.

(26)

This mix design was further developed and implemented in a research program 

conducted by Kazemi and Lubell.(27)

Holschemacher and Weißl investigated different mix proportions to minimize material costs

without sacrificing the beneficial properties of UHPC.(28)Through careful selection of 

aggregates, cement type, cementitious materials, inert filler, and HRWR, it was possible to 

produce UHPC with good workability and moderate material costs.

The concept of combining different size molecular admixtures to facilitate UHPC dispersion was 

studied by Plank et al.(29)

The possibility of replacing silica fume in UHPC with metakaolin, pulverized fly ash, limestone 

microfiller, siliceous microfiller, micronized phonolith, or rice husk ash has been 

investigated.(30,31) The use of local materials rather than proprietary products has also been 

pursued.(32,33)

Schmidt et al. reported two mix proportions for a bridge in Germany.(34)The first mix contained 

1,854 lb/yd3(1,100 kg/m3) of cement, 26-percent silica fume as a percentage of the cement 

content, quartz sand, 6 percent steel fibers by volume, HRWR, and a water-binder ratio of 0.14. 

The second mix contained 2,422 lb/yd3(1,437 kg/m3) of cement and 9-percent steel wool and 

steel fibers combined.

Collepardi et al. reported that the replacement of fine ground quartz sand with an equal volume 

of well-graded natural aggregate with a maximum size of 0.3 inches (8 mm) did not change the 

compressive strength at the same water-cement ratio.(35)
7

Coppola et al. investigated the influence of high-range water-reducing admixture type on the 

compressive strength. They reported that acrylic polymer admixtures allowed the use of lower 

water-cement ratios and resulted in higher compressive strengths compared with naphthalene and 

melamine admixtures.(36)

In a study of the durability of UHPC, Teichmann and Schmidt used the mix proportions shown 

in table 3.

(37) Mix 1 had a maximum aggregate size of 0.32 inches (8 mm) provided by the sand.

Mix 2 had a maximum aggregate size of 0.32 inches (8 mm) provided by the basalt.

Table 3. UHPC mix proportions from Teichmann and Schmidt(37)

Material

Mix 1 Mix 2

lb/yd3kg/m3lb/yd3kg/m3

Cement 1,235 733 978 580

Silica Powder 388 230 298 177

Fine Quartz 1 308 183 503 131

Fine Quartz 2 0 0 848 325

HRWR 55.5 32.9 56.2 33.4

Sand 1,699 1,008 597 354

Basalt 0 0 1,198 711

Steel Fibers 327 194 324 192

Water 271 161 238 141

Water-Binder Ratio 0.19 0.19 0.21 0.21

Researchers at the U.S. Army Corps of Engineers Engineer Research and Development Center

have reported on a UHPC-class material referred to as Cor-Tuf.(38,39)The proportions of this 

UHPC are presented in table 4.

Table 4. UHPC mix proportions of Cor-Tuf by weight(38,39)

Material Proportions

Portland Cement 1.0

Sand 0.967

Silica Flour 0.277

Silica Fume 0.389

HRWR 0.0171

Steel Fibers 0.310

Water 0.208

Researchers led by Rossi at the Laboratoire Central des Ponts et Chaussees (LCPC) in Paris 

developed a UHPC-class material referred to as CEMTECmultiscale.

(40)

The proportions of this 

UHPC are presented in table 5.
8

Table 5. UHPC mix proportions for CEMTECmultiscale

(40)

Material lb/yd3kg/m3

Portland Cement 1,770 1,050

Sand 866 514

Silica Fume 451 268

HRWR 74 44

Steel Fibers 1,446 858

Water 303 180

MIXING AND PLACING

Graybeal has summarized the mixing of UHPC as follows:

Nearly any conventional concrete mixer will mix UHPC. However, it must be 

recognized that UHPC requires increased energy input compared to 

conventional concrete, so mixing time will be increased. This increased 

energy input, in combination with the reduced or eliminated coarse aggregate 

and low water content, necessitates the use of modified procedures to ensure 

that the UHPC does mot overheat during mixing. This concern can be 

addressed through the use of a high-energy mixer or by lowering the 

temperatures of the constituents and partially or fully replacing the mix water 

with ice. These procedures have allowed UHPC to be mixed in conventional 

pan and drum mixers, including ready-mix trucks. (p. 2)(1)

Mixing times for UHPC range from 7 to 18 minutes, which are much longer than those of 

conventional concretes.(41,42)This impedes continuous production processes and reduces the 

capacity of concrete plants. Mixing time can be reduced by optimizing the particle size 

distribution, replacing cement and quartz flower by silica fume, matching the type of HRWR and 

cement, and increasing the speed of the mixer.(42) The mixing time can also be reduced by 

dividing the mixing process into two stages. High-speed mixing for 40 seconds is followed by 

low-speed mixing for 70 seconds, for a total time of about 2 minutes.

(41)

The method of placing UHPC has an influence on the orientation and dispersion of the fibers.(43)

The orientation did not affect the first cracking load but had an effect of up to 50 percent on the 

ultimate tensile strength in bending. The highest strengths were achieved when placement was 

made in the direction of the measured tensile strength. Stiel et al. reported significant differences 

between horizontally and vertically cast beams when tested in three-point bending.(44) The fibers 

in the vertically cast beams were aligned in layers normal to the casting direction. As a result, the 

splitting and flexural strengths were only 24 and 34 percent of the corresponding values for the 

horizontally cast beams. However, in a 39-inch (1-m)-thick slab, the fibers were arranged 

randomly. The orientation of the fibers did not have a significant effect on the compressive 

strength and modulus of elasticity. 
9

Graybeal has summarized the placement of UHPC as follows:

The placement of UHPC may immediately follow mixing or be delayed while 

additional mixes are completed. Although the dwell time prior to the initiation 

of the cement hydration reactions can be influenced by factors such as 

temperature and chemical accelerators, it frequently requires multiple hours 

before UHPC will begin to set. During extended dwell time, the UHPC should 

not be allowed to self-desiccate.

Casting of fiber-reinforced concretes requires special considerations in terms

of placement operations. UHPCs tend to exhibit rheological behaviors similar 

to conventional self-consolidating concretes, thus possibly necessitating 

additional form preparation but also allowing for reduced during-cast efforts. 

Internal vibration of UHPC is not recommended due to fiber reinforcement, 

but limited external form vibration can be engaged as a means to facilitate the 

release of entrapped air. (p. 3)(1)

For the UHPC beams used on the Route 624 bridge over Cat Point Creek in Richmond, VA, the 

contractor was required to use a plant that was prequalified for UHPC production, and a 

representative from the UHPC producer was required to be present.(45)The UHPC was mixed in 

4-yd3(3-m

3

) batches in an 8-yd3(6-m

3

) twin shaft mixer and discharged into a ready-mixed

concrete truck for delivery. About 20 to 25 minutes were required to load the mix, mix the 

UHPC, and discharge the mixer.

During discharge from the truck, cement balls were observed in the mix. This was attributed to 

exposure of the bags to moisture during storage. The mix was discharged into one end of the 

beam and allowed to flow. Only limited external vibration was applied for 1 or 2 seconds.

CURING

Curing of UHPC considers two distinct components, specifically temperature and moisture. As 

with any cementitious composite material, maintaining an appropriate temperature is critical to 

achieving the desired rate for the cementitious reactions. In addition, given the low water content 

in UHPC, eliminating loss of internal water by sealing the system or maintaining a high humidity 

environment is also critical.

The curing of UHPC occurs in two phases.(1,46) Given that UHPC tends to exhibit a dormant 

period prior to initial setting, the initial curing phase consists of maintaining an appropriate 

temperature while precluding moisture loss until setting has occurred and rapid mechanical 

property growth is occurring. The second curing phase may or may not include elevated 

temperature conditions and a high moisture environment, depending on whether accelerated 

attainment of particular material characteristics is desired.

Graybeal reported on an extensive program to determine material properties of UHPC using four 

different post-set curing procedures.(22)These involved steam curing at 194 °F (90 °C) or 140 °F 

(60 °C) for 48 hours, starting about 24 hours after casting; steam curing at 194 °F (90 °C),
10

starting after 15 days of standard curing; and curing at standard laboratory temperatures until test

age.

These three steam-curing methods increased the measured compressive strengths and modulus of 

elastic, decreased creep, virtually eliminated drying shrinkage, decreased chloride ion 

penetrability, and increased abrasion resistance. The enhancements achieved by the lower steam 

temperature and delayed steam curing were slightly less than achieved by steam curing at the 

higher temperature. The specimens steam cured at 194 °F (90 °C) after 24 hours reached their 

full compressive strengths within 4 days after casting. Chapter 3 of this report presents more 

details of the test results.

More recent work by Graybeal has focused on characterizing the performance of ambient-cured 

UHPC.(47)This research stems from the recognition that accelerated curing in a steam 

environment is frequently not practical and also that the ambient-cured properties of UHPC are 

appropriate for many applications.

Ay compared the compressive strength of 4-inch (100-mm) cubes cured by the following three 

methods:

(48)

 Curing in water until 1 hour before testing.

 Curing in water for 5 days followed by air curing.

 Sealing the cubes in plastic sheeting and then storing them at 68 °F (20 °C) until tested.

The UHPC cubes stored in water followed by air curing had slightly higher compressive 

strengths than cubes cured by the other two methods.

The compressive strength of UHPC can be increased considerably by using post-set heat 

curing.(49) Heinz and Ludwig showed that the heat curing at various temperatures between 

149 and 356 °F (65 and 180 °C) produced 28-day compressive strengths as high as 41 ksi 

(280 MPa) compared with strengths of 25 and 27 ksi (178 and 189 MPa) when cured at 68 °F

(20 °C). Higher curing temperatures resulted in higher compressive strengths. In addition, the 

strengths at the end of the curing period at about 48 hours after casting were about the same as 

the corresponding 28-day strengths. The authors also concluded that curing at 194 °F (90 °C)

presented no danger of delayed ettringite formation.(49)

Schachinger et al. observed that initial curing at 68 °F (20 °C) for 5 days, followed by heat 

curing at 122 to 149 °F (50 to 65 °C), was the most favorable combination to achieve high 

strengths at ages up to 28 days.(50) Compressive strengths in the range of 36 to 43.5 ksi (250 to 

300 MPa) were achieved at ages of 6 to 8 years.

Heinz et al. achieved compressive strengths higher than 29 ksi (200 MPa) at an age of 24 hours

after 8 hours storage at 68 °F (20 °C) followed by 8 hours at 194 °F (90 °C) in water.(51)Longer 

periods of initial storage or heat treatment resulted in higher strengths when ground-granulated 

blast-furnace slag was included in the UHPC. The authors obtained the highest strengths by 

including fly ash and autoclaving the UHPC for 8 hours at 300 °F (150 °C).
11

Massidda et al. showed that autoclaving at a temperature of 356 °F (180 °C) and 145 psi (1 MPa) 

with saturated steam produced higher compressive strengths and flexural strengths compared 

with specimens cured at 68 °F (20 °C).(52)

QUALITY CONTROL TESTING

Quality control tests for UHPC in the United States have generally used the same or similar tests 

as those used for conventional concrete or mortar with or without modifications. Both fresh and 

hardened concrete properties are measured. 

The flow of UHPC is frequently measured using ASTM C1437—Standard Test Method for Flow 

of Hydraulic Cement Mortar.(1,53)This test method is intended for use with mortars exhibiting 

plastic to flowable behavior, and thus it is frequently appropriate for fresh UHPC. In this test, 

both initial flow and dynamic flow are measured. The test is completed immediately after mixing 

to assess consistency among mixes and appropriateness for casting.

(1) On the Route 24 bridge 

over Cat Point Creek, a minimum dynamic flow of 9 inches (230 mm) was sought for 

satisfactory workability.(45)

As different versions of UHPC are developed for different applications, alternate workability 

tests will be needed. For stiffer, non-self-consolidating UHPC, the ASTM C143—Standard Test 

Method for Slump of Hydraulic-Cement Concrete may be appropriate.(54)Scheffler and Schmidt 

have reported that development of stiff UHPC formulations for applications such as pavement 

whitetopping is feasible.(55)

The initial and final setting times of UHPC can be longer than those observed for many 

conventional cementitious materials. The set times are heavily influenced by the curing 

temperature.(47) Graybeal measured initial setting times ranging from 70 minutes to 15 hours for 

different UHPC formulations using the American Association of State Highway and 

Transportation Officials (AASHTO) T 197 test method for penetration resistance.

(22,56,57)

The 

corresponding final setting times ranged from 5 to 20 hours.

Compressive strength testing of UHPC is frequently completed using a modified version of 

ASTM C39—Standard Test Method for Compressive Strength of Cylindrical Concrete 

Specimens.(58)The test method is modified to include an increased load rate of 150 psi/second

(1 MPa/second) in response to the high compressive strength that UHPC exhibits.(47) Appropriate 

cylinder end preparation is critical because non-flat or non-parallel end surfaces can cause a 

reduction in observed compressive strength.(1)End surface preparation for cylinders with early 

age compressive strengths below 12 ksi can be completed using multiple methods, including 

capping according to ASTM C617.

(1,47,59) Higher strength cylinders should have their ends 

ground to within 0.5 degrees.(58)

Smaller cylinders have been shown to provide strengths equivalent to traditional size cylinders. 

Graybeal reported that 3- by 6-inch (76- by 152-mm) cylinders exhibited similar strengths to 4-

by 8-inch (102- by 203-mm) cylinders while allowing for the use of a significantly reduced 

testing machine capacity.(22,60) Use of 2- by 4-inch (51- by 102-mm) cylinders was not 

recommended because of the increased dispersion present in the results.
12

Research has demonstrated that the ASTM C109—Standard Test Method for Compressive 

Strength of Hydraulic Cement Mortars (Using 2-inch (50-mm) Cube Specimens) can also be 

applied to UHPC.(61) Graybeal reported that 2-inch, 2.8-inch, and 4-inch cubes exhibited 

compressive strengths up to approximately 7 percent greater than those observed from 3- by 

6-inch and 4- by 8-inch (76- by 152-mm and 102- by 203-mm) cylinders.(22,60)Similar findings 

were reported by Alhborn and Kollmorgen.(62)

On the U.S. Route 6 bridge over Keg Creek in Pottawatomie County, IA, UHPC was used in the 

longitudinal and transverse joints between the concrete deck panels.(63)The Special Provisions 

for the project required the contractor to cast twelve 3- by 6-inch (75- by 150-mm) cylinders for 

verification of concrete compressive strength.(64)Three cylinders were to be tested to verify 

10.0 ksi (69 MPa) at 96 hours, three to verify 15.0 ksi (103 MPa) for opening the bridge to 

traffic, and three at 28 days. The remaining three specimens were treated as reserves. Specimens 

were required to have their ends ground to 1 degree planeness.

For field-cast UHPC joints, the New York State Department of Transportation (NYSDOT) also 

requires the casting of twelve 3- by 6-inch (75- by 150-mm) cylinders for testing in sets of 

three.(65) One set is tested at 4 days, one set at 28 days, one set is to be supplied to the NYSDOT, 

and one set is treated as reserve. 

For qualification testing of the proposed UHPC mix, NYSDOT requires that a minimum of 

sixty-four 2-inch (50-mm) cubes be cast. Testing ages are 4, 7, 14, and 28 days. Minimum 

compressive strengths of 14.3 ksi (100 MPa) at 4 days and 21.8 ksi (150 MPa) at 28 days are 

required. 

Frölich and Schmidt investigated the repeatability and reproducibility of tests methods for fresh 

UHPC.(66)They observed that the values of the measured fresh properties were influenced by the 

time of measurement, mixing equipment, laboratory conditions, operator, and air-void content. 

The authors concluded that quality control tests should be made 30 minutes after the start of 

mixing and that flowable consistency should be measured using the slump flow test. 

SUMMARY OF MATERIALS AND PRODUCTION

The constituent materials of UHPC generally consist of portland cement, fine sand, ground 

quartz, HRWR, accelerating admixture, steel fibers, and water. As a class, UHPCs have high 

cementitious materials contents and very low water-cementitious materials ratios. UHPC can be 

mixed in conventional mixers but the UHPC mixing time is longer than for conventional 

concrete. The method of placing UHPC has an influence on the orientation and dispersion of the 

fibers, which influences the tensile properties of the UHPC. The properties of UHPC are affected 

by the method, duration, and type of curing. As with conventional concrete, heat curing 

accelerates the development of strength and related properties. Delaying the application of heat 

for several days can enhance the measured properties, although it may not be compatible with the 

rapid production in precasting operations. Smaller size cylinders have been used in quality 

control for measurement of compressive strengths.
13

CHAPTER 3. MECHANICAL PROPERTIES

This chapter summarizes information about the various mechanical properties that are relevant to 

the structural design of UHPC components.

It is important to note that the dispersion and orientation of the fiber reinforcement are critical 

parameters that influence the mechanical behavior of UHPC. The fiber reinforcement serves to 

resist tensile stresses in the UHPC component both before and after tensile cracking of the 

UHPC matrix. Post-cracking mechanical response of UHPC is particularly susceptible to 

degradation from disadvantageous fiber dispersion and/or orientation. Mixing and placing 

methods can affect the hardened UHPC mechanical response and thus must be appropriately 

coordinated to ensure acceptable mechanical performance.(4)

COMPRESSIVE STRENGTH

Compressive strength is an important property in the design of any concrete structure. It is also 

the property that is most frequently measured. As discussed in the previous chapter, cylinder and 

cube compression test methods used for conventional concrete are appropriate for the 

determination of UHPC compressive strength. Minor modifications to the test and analysis 

methods may be required.

Graybeal reported the compressive strengths of nearly 1,000 specimens subjected to the 

following four different curing conditions:

(22)

a. Steam curing at 194 °F (90 °C) and 95-percent relative humidity for 48 hours starting 

about 24 hours after casting.

b. Steam curing at 140 °F (60 °C) for 48 hours starting about 24 hours after casting.

c. Steam curing at 194 °F (90 °C) for 48 hours starting about 15 days after casting.

d. Curing under laboratory conditions (73 °F (23 °C) and ambient humidity).

Most tests were conducted on 3- by 6-inch (76- by 152-mm) cylinders with the ends ground so 

that they were parallel within 1 degree. Tests generally used the procedures of ASTM C39,

except the loading rate was increased to 150 psi/second (1 MPa/s), and a 6.5-inch (165-mm)-

diameter spherical bearing plate was used.(67)

The average measured compressive strengths at 28 days for six cylinders cured using methods a, 

b, c, and d were 28.0, 24.8, 24.8, and 18.3 ksi (193, 171, 171, and 126 MPa), respectively.

Density of the UHPC ranged from 150 to 156 lb/ft3(2,400 to 2,500 kg/m3). Within each curing 

regime, there was a slight increase in compressive strength as the density increased.

Graybeal also investigated the effect of cylinder and cube size on the measured compressive 

strength using 2- by 4-inch, 3- by 6-inch, 4- by 8-inch, and 3- by 6.5-inch (51- by 102-mm, 

76- by 152-mm, 103- by 203-mm, and 76- by 165-mm) cylinders and 2- and 3.94-inch (51- and

100-mm) cubes.(22,60)

The measured strengths were all within 8 percent of the control 3- by 6-inch (76- by 152-mm) 

cylinder strength. The cubes had compressive strengths about 5 percent higher than the cylinders.
14

Similar results were also observed by Orgass and Klug.(68)The smaller cylinders and cubes had a 

larger standard deviation.(22) Magureanu et al. reported that 3.9-inch (100-mm) cubes had a 

20-percent lower measured compressive strength than 2.0-inch (50-mm) cubes.(69)

Graybeal also indicated that loading rates between 35 and 245 psi/seconds (0.24 and 

1.7 MPa/seconds) had no noticeable effect on the measured compressive strength, modulus of 

elasticity, and Poisson’s ratio.(22)

Skazlic et al. investigated the effect of cylinder size on the compressive strength of 10 different 

UHPC mixtures.(70) Cylinder diameters were 2.75, 4, and 6 inches (70, 100, and 150 mm) with a 

length-to-diameter ratio of 2:1. Assuming a 4- by 8-inch (100- by 200-mm) cylinder as a 

standard, the authors proposed conversion factors of 1.05 to 1.15 for strengths measured on 

2.75- by 5.5-inch (70- by 140-mm) cylinders and 0.85 to 0.95 for strengths measured on 6- by 

12-inch (150- by 300-mm) cylinders.

Based on a regression analysis of the data for the particular mix tested, Graybeal determined that 

the compressive strength gain of UHPC cured under standard laboratory conditions can be 

represented by the equation in figure 1 for any time after 0.9 days.(22)

Figure 1. Equation. Compressive strength gain at any age after casting from Graybeal(22)

where: f’ct = UHPC compressive strength at age t days

f’c = UHPC compressive strength at 28 days

t = time after casting in days

Graybeal recently completed a follow-on study focused on a readily available UHPC that is 

formulated for use in field-cast connection applications.(47) A single mix design was cured at 

105 °F (41 °C), 73°F (23 °C), and 50 °F (10 °C) to assess the rate of compressive mechanical 

property development. The time to initiation of compressive mechanical strength gain is 

provided in figure 2. The relationship between curing temperature and compressive strength is 

provided in figure 3. The fitting parameters relevant to figure 3 are in table 6.

Figure 2. Equation. Relationship between curing temperature and initiation of rapid 

compressive strength gain from Graybeal(47)

where: tstart= time of initiation of strength gain in days

T = curing temperature in degrees Celsius

f ct

' = f c'

 1-exp - 

t - 0.9

3

 

0.6 

tstart=

2.8

 T
15

Figure 3. Equation. Relationship between time after mix initiation and compressive 

strength as a function of curing temperature from Graybeal(47)

where: f'c28d = compressive strength at 28 days

f'c, t = compressive strength at time t in days after mix initiation

tstart = time of initiation of strength gain in days

a = fitting parameter in days

b = dimensionless fitting parameter

Table 6. Parameters relevant to equation presented in figure 3

Curing Regime T (°C) 

 

(ksi) a (days) b

105°F (41 °C) 41 24.5 0.25 0.25

73° F (23 °C) 23 24 1.0 0.30

50° F (10 °C) 10 22.5 4.0 0.50

Note: 1 ksi = 6.89MPa and °F = 1.8 X °C + 32

Kazemi and Lubell also investigated compressive strength as a function of time after casting.(27)

The response of a locally sourced UHPC from central Canada was found to correspond to the 

relationship in figure 3, with a equal to 4 and b equal to 0.5 or 0.6 depending on the fiber 

content.

Schmidt and Fröhlich reported that irregularities in the loaded surface of specimens tested in 

compression caused a more pronounced decrease in the measured compressive strength in UHPC 

than was evident with conventional concrete.(71)

Tests of UHPC in axial compression at elevated temperatures showed that the measured 

compressive strength decreases as the concrete temperature at testing increases.(72,73) However, 

some or all of the strength is recovered after the specimens cool down.

Richard reported that compressive strengths as high as 80 ksi (550 MPa) can be achieved at 

atmospheric pressure and heat treating at 480 °F (250 °C).(12) With pressure, compressive 

strengths as high as 117 ksi (810 MPa) are possible. With conventional production capabilities 

and curing at 194 °F (90 °C), strengths of 40 ksi (280 MPa) can be achieved.

Tests of UHPC under biaxial compression have been reported by Curbach and Speck and 

Leutbecher and Fehling.( 74,75)

Additional compressive strength data are available in many of the publications about research 

and applications of UHPC. These data indicate that the initiation of strength gain and subsequent 

rate of strength gain depend on the particular UHPC constituent materials, mix proportions, and 

the curing conditions.

f

c,t

'

= f

c,28d

'

 1 - e

- 

t-tstart

a

 

b

 
16

TENSILE STRENGTH 

In conventional structural design for concrete bridges, the tensile strength of concrete is assumed 

to be zero in reinforced concrete design and often taken as 6fc

‘

in prestressed concrete girder 

design.(76)

The tensile strength of UHPC is higher than that of conventional concrete, and UHPC can exhibit 

sustained tensile strength after first cracking. The results of tests for tensile strength of UHPC, 

therefore, often report a value of first cracking strength as well as a peak post-cracking strength. 

Consequently, tensile strength takes on increasing importance as a property to consider in design. 

An example tensile stress-strain response obtained from a readily available UHPC containing 

2 percent by volume steel fiber reinforcement was captured by Graybeal and is shown in

figure 4.

(77)

The results shown were developed as part of a study.

(78,79)

Figure 4. Graph. Tensile stress-strain response of UHPC(77)

Graybeal has proposed the idealized tensile stress-strain response shown in figure 5.

(79)

This 

response is based on direct tension tests of two UHPCs with multiple fiber contents. It is 

proposed as a conceptual illustration of the precracking and postcracking tensile stress-strain 

response of strain-hardening fiber reinforced concretes, such as UHPC. The behavior is divided 

into four phases. Phase I is elastic behavior. Phase II is the phase wherein multiple tightly spaced 

cracks form in the UHPC matrix. The cracks occur individually as the stress in the matrix 

exceeds the matrix cracking strength. Phase III begins at the strain level where additional 

cracking between existing cracks is unlikely. Individual cracks widen in this phase. Lastly, Phase 

IV begins when an individual crack has reached its strain limit and the fibers bridging that crack 

begin to pull out of the matrix. In a strain-hardening fiber-reinforced concrete, the fiber bridging 

strength where localization occurs is greater than the cracking strength where multicracking 

occurs.
17

Figure 5. Graph. Idealized uniaxial tensile mechanical response of a UHPC(79)

Standard tensile test methods designed to assess the cracking strength of conventional concrete 

may be appropriate for assessing the first cracking strength of UHPC, but are unlikely to be 

appropriate for quantitatively assessing the post-cracking tensile response of UHPC.(22)The 

ASTM C78—Standard Test Method for Flexural Strength of Concrete (Using Simple Beam with 

Third-Point Loading) and ASTM C496—Standard Test Method for Splitting Tensile Strength of 

Cylindrical Concrete Specimens fall into this category.(80,81) Both test methods include 

assumptions of mechanical behaviors that are not consistent with strain-hardening fiberreinforced concretes and thus are likely to overestimate the tensile strength of the UHPC.

Graybeal has proposed a modified version of ASTM C496.(82)The modified test method includes 

a requirement to monitor the first cracking of the UHPC during the test and calculate the splitting 

tensile strength based on the observed first cracking load.

Flexure-based test methods have been proposed, and in some cases, standardized. ASTM C1018 

(withdrawn), ASTM C1609, and RILEM TC 162-TDF all present test methods for use in 

determining the tensile response of fiber-reinforced concretes.(83,84,85) Methods have been 

proposed for analyzing the test results so as to develop uniaxial tensile response curves. (See 

references 4, 85, 86, and 87.) However, these types of flexure tests have been demonstrated to be 

susceptible to overindications of strength as a result of the use of inappropriate support 

conditions.(88)

A variety of direct tension test methods have been developed. In a direct tension test, the UHPC 

specimen is loaded in uniaxial tension and thus the tensile response can be directly captured by 

measuring the load on and the strain experienced by the specimen. Direct tension tests can be 

divided into two groups, namely, tests that allow rotation of the ends of the test specimen and 

tests that do not. The tests with rotation might provide an indication of first cracking strength, but 

are not appropriate for assessment of post-cracking behaviors. This is because local 

inconsistencies in stiffness at the plane of the first crack result in rotation and fiber pullout at this 

Localized

Uniaxial Tensile Stress

Uniaxial Tensile Strain

Crack Saturation

Localization

Multi-Cracking Crack Straining

First Cracking

II III IV

I Elastic

Cracking Strength

Fiber Bridging 

Strength
18

crack prior to the generation of a full set of additional cracks. Fixed-end tests that do not allow 

rotation at cracks are appropriate for capturing the full tensile stress-strain response. However, 

these tests are difficult to complete because of the bending stresses that can be imparted to the 

specimen during initial setup.

Graybeal reported measurements of tensile strength using flexural prisms, split cylinders, mortar 

briquettes, and direct tension tests of cylinders.(22)The combined results of these tests indicated a 

first tensile cracking strength of approximately 1.3 ksi (9.0 MPa) for steam-cured specimens and 

approximately 0.9 ksi (6.2 MPa) without any heat treatment.

The modulus of rupture values for first cracking determined by the ASTM C1018 prism flexure 

test varied from 1.3 to 1.5 ksi (9.0 to 10.3 MPa), depending on the method of steam curing, and 

had an average value of 1.3 ksi (9.0 MPa) for untreated specimens.(83)These specimens exhibited 

large deflections before the post-cracking peak load was reached.

In the split cylinder tests (ASTM C496), measured splitting tensile strengths at first cracking 

were 1.7 ksi (11.7 MPa) for steam-cured specimens and 1.3 ksi (9.0 MPa) for untreated 

specimens. (81)For the steam-cured specimens, the splitting tensile strengths at first cracking 

varied from 3 to 5 percent of the measured compressive strength. The post-cracking peak tensile 

splitting stresses ranged from 12 to 16 percent of the compressive strength.

First cracking tensile strengths using briquettes in accordance with AASHTO T 132 ranged from 

1.0 to 1.4 ksi (6.9 to 9.7 MPa), depending on the method of steam curing. For untreated 

specimens, the average value was 0.9 ksi (6.2 MPa).(89)

In the direct tensile tests of 4- by 8-inch (102- by 203-mm) cylinders, first tensile cracking 

occurred between 1.1 and 1.6 ksi (7.6 and 11.0 MPa), depending on the method of steam curing,

and between 0.8 and 1.0 ksi (5.5 and 6.9 MPa) for untreated specimens.

In this study, Graybeal concluded that the tensile strength (fct) of UHPC can be related to the 

measured compressive strength (f’c) by the equation in figure 6.

Figure 6. Equation. Concrete tensile strength approximations

Subsequent research by Graybeal and Baby on this topic has resulted in the development of a 

uniaxial direct tension test method applicable to UHPC.(79)This test method, whose concept is 

based on a standard tension test applied to metals, provides the uniaxial tensile mechanical 

response of UHPC and is applicable to both cast and extracted test specimens. Tests were 

completed on two UHPCs containing multiple steel fiber reinforcement percentages and cured 

through ambient laboratory and steam-treated conditions. The results demonstrated that these 

two UHPCs could sustain more than 1.3 ksi (9 MPa) of uniaxial tensile load through a strain of 

at least 4,000 millionths.

f

ct = 7.8 fc

'

or 8.3 f

c

'

depending on the method of steam curing

f

ct = 6.7 fc

'

for untreated specimens 
19

Baby, Graybeal, Marchand, and Toutlemonde investigated the use of flexural tensile test 

methods for UHPC and the associated analyses necessary for appropriate interpretation of the 

results.

(86)

These analyses, often referred to as inverse analyses, derive the uniaxial tensile 

response from the observed load, deflection, and possibly surface strains observed during a 

flexure prism test. This research demonstrated that flexure test methods can be applied, but that 

capture of specific response observations are necessary and appropriate interpretation of data is 

critical. This research was conducted alongside the research presented in Graybeal and Baby, 

allowing direct comparison of results.(79)

Reineck and Frettlöhr investigated the effect of specimen size on the flexural and axial tensile 

strengths.(90)The depth of the flexural specimens ranged from 1 to 6 inches (25 to 150 mm) with 

width-to-depth ratios ranging from 1 to 5. The same sizes and ratios were used for the axial 

tension tests. The authors reported a decrease in both strengths with increasing size of the test 

specimens.

Schmidt and Fröhlich observed that specimens heat cured at 194°F (90 °C) for 48 hours and 

tested in flexure had a 15-percent higher flexural strength than specimens stored continuously at 

60 °F (20 °C).(71)

A study by Wille and Parra-Montesinos investigated the effects of beam size, casting method, 

and support conditions on UHPC flexure test results. The study reported that large discrepancies 

in results were possible for an individual UHPC, depending on the test setup and specimen 

characteristics.(88)

Flexural strengths have also been reported by others. (See references 39, 69, 91, 92, 93, and 94.)

Axial tension tests have also been reported by others. (See for example references 75, 95, 96, 97, 

98, 99, 100, and 101.)

Biaxial compression-tension tests have been reported by Leutbecher and Fehling and by 

D’Alessandro et al.

(75,102)

MODULUS OF ELASTICITY

Graybeal measured the modulus of elasticity in compression in accordance with ASTM C469 at 

ages from 1 to 56 days for cylinders cured according to the four regimes described under 

Compressive Strength.(22,103) Reported values were mostly the average value of six cylinders. 

After steam curing, the measured values were about 7,250 ksi (50 GPa). Cylinders cured under 

standard laboratory conditions had modulus of elasticity values of about 6,200 ksi (42.7 GPa) at 

28 days. In terms of strength, modulus of elasticity, and strain at peak load, the UHPC showed

very little change after completion of steam curing. The specimens cured under laboratory 

conditions continued to gain strength for at least 8 weeks after casting but the increase in 

modulus of elasticity and the decrease in strain at peak load seemed to stop at about 1 month.

The modulus of elasticity was also measured in direct tension tests. The average measured values 

were 7,500 ksi (51.9 GPa) for steam-treated specimens and 6,900 ksi (47.6 GPa) for untreated 

specimens. These values were slightly higher than measured in compression.
20

The equation in figure 7 or modulus of elasticity was proposed by Graybeal based on the general

form of the AASHTO equation and values of f'c between 4.0 and 28.0 ksi (28 to 193 GPa).(22)

Figure 7. Equation. Graybeal equation for UHPC modulus of elasticity(22,103)

where: Ec = modulus of elasticity

f’c = UHPC compressive strength

Subsequent research by Graybeal has developed additional results related to the modulus of 

elasticity of UHPC.(47)These tests, completed on a UHPC specifically formulated for use as a 

field-cast material in connections between structural components, found that the equation in 

figure 8 is inappropriate for strengths between 14 and 26 ksi (97 and 179 MPa). This research 

also investigated the impact of curing temperature on compressive mechanical response 

development and found that the modulus of elasticity is related to the compressive strength and 

is largely independent of curing temperature.

Figure 8. Equation. Graybeal equation for UHPC modulus of elasticity(47)

Ma et al. developed the equation in figure 9 for UHPC containing no coarse aggregates:(104)

Figure 9. Equation. Ma et al. equation for UHPC modulus of elasticity(104)

Modulus of elasticity values have also been reported by others. (See references 91, 92, 94, 

and 105.)

Diederichs and Mertzsch measured the stress-strain relationships at concrete temperatures 

ranging from 68 to 1,560 °F (20 to 850 °C).(73)They observed a large reduction in both strength 

and modulus of elasticity at the higher testing temperatures. At the same time, the strain at peak 

stress increased at the higher temperatures. The same observations were made by Pimienta et al.

for temperatures ranging from 68 to 1,110 °F (20 to 600 °C).(72) However, some or all of the loss 

was recovered after the specimens cooled down.

POISSON’S RATIO

Table 7 lists values of Poisson’s ratio determined by various researchers.

Ec= 46200 f

c

'

 in psi units Ec

= 49000 f

c

'

in psi units Ec

= 525,000 

f

c

'

10 

1

3
21

Table 7. Values of Poisson’s ratio

Poisson’s 

Ratio

Reference 

(First Author)

0.2 Simon(106)

0.16 Joh(107)

0.21 Ahlborn(108)

0.19 Bonneau(105)

0.18 Graybeal(109)

0.18 Ozyildirim(45)

FATIGUE BEHAVIOR

Ocel and Graybeal reported a fatigue test of an AASHTO Type II girder.(110)The upper limit of 

the fatigue load was just below the static load levels that would cause flexural and shear cracking 

of the girder. The first cracks were observed after 0.64 million cycles at the intersection of the 

web and bottom flange in one shear span. After 1.405 million cycles, the same cracks were 

observed in the other shear span. Flexural cracks were noticed in the constant moment region 

after 1.888 million cycles. These were accompanied by a longitudinal crack in the bottom flange. 

Testing continued to 12 million cycles, during which the existing cracks continued to lengthen 

and additional cracks occurred, but there was no indication of fatigue degradation or change in 

the global behavior of the girder.

Prior to construction of a UHPC bridge in the city of Calgary, a 39-inch (1-m)-long transverse 

section was tested in flexural fatigue.(111)The section was subjected to 1 million cycles between 

20 and 80 percent of the design service load, 1 million cycles between the 20 and 80 percent of 

the observed first cracking load, and 1 million cycles between 20 and 80 percent of the failure 

load for companion sections that contained fiber-reinforced plastic reinforcing bars. Following 

the fatigue testing, the specimen was loaded to failure with the maximum load being greater than 

expected.

Prior to construction of a UHPC waffle-slab bridge deck in Wapello County, IA, tests were 

conducted on specimens representing a full-scale portion of the bridge.(112,113) A single point load 

representing a wheel load was placed at two critical locations. No fatigue damage was noted after 

1 million cycles of loading at each location. 

Graybeal and Hartmann conducted flexural fatigue tests on 2-inch (51-mm)-square beams.(114)

In one set of tests, uncracked specimens were loaded to produce different stress ranges. Most 

specimens survived more than 6 million cycles of loading. In a second series of tests, the 

specimens were precracked and then tested in fatigue with loads cycling from 10 to 60 percent of 

the cracking load. One specimen failed after 9,950 cycles, while the other failed after 

129,700 cycles. In these tests, some of the steel fiber reinforcement was observed to have 

fractured rather than pulling out of the UHPC matrix.

Schmidt et al. investigated the fatigue behavior of UHPC cylinders loaded in axial compression 

at various stress range levels.(115)They observed that specimens with a ratio of stress range to 
22

compressive strength of 0.45 survived 2 million load cycles without failure. The test specimens 

that survived the 2 million cycles of loading had only a slight decrease in compressive strength 

compared with specimens without any preceding load cycles. 

Fatigue tests of UHPC specimens under various combinations of stress level and stress range by 

Fitik et al. showed a range of cycles to failure from 2.5 to more than 7.0 million cycles.(116)They 

attributed the wide range to local faults, which initiated the failure process.

Uniaxial compression tests reported by Grünberg et al. and Lohaus and Elsmeier with a 

minimum stress limit of 5 percent of the static strength and varying upper stress level resulted in 

the number of cycles to failure ranging from about 2.5 to 7.1 million.(117,118)

Behloul et al. conducted flexural fatigue tests on 4- by 4- by 16-inch (100- by 100- by 400-mm) 

prisms made of two different UHPC formulations.(119)Prior to fatigue loading, the specimens 

were loaded to produce a crack opening of 0.012 inches (0.3 mm). The specimens were then 

cycled at 5 Hz between 10 and 90 percent of the first cracking strength. After 1 million cycles, 

the specimens were loaded statically, and the results were compared with specimens not 

subjected to fatigue loading. The fatigue loading appeared to have no effect on the overall 

mechanical behavior.

Lappa et al. reported flexural fatigue tests of 5- by 5- by 40-inch (125- by 125- by 1,000-mm) 

beams with a maximum load equal to about 75 percent of the static strength.(120)The number of 

cycles to achieve fatigue fracture ranged from 29,295 to 170,771.

THERMAL PROPERTIES

Coefficient of Thermal Expansion

Coefficients of thermal expansion (COTE) measured by various researchers are shown in table 8.

Table 8. Values of coefficients of thermal expansion

COTE Reference 

Millionths/°F Millionths/°C First Author

8.2 to 8.7 14.7 to 15.6 Graybeal(22)

6.7 12 Fehling(121)

5.6 to 6.7 10 to 12 Simon(106)

7.6 to 8.2 13.6 to 14.8 Ahlborn(108)

6.7 12 Behloul(122)

The French Interim Recommendations state a value of 6.1 x 10-6/°F (11 x 10-6/°C) if no other 

value can be determined.(4)
23

Heat of Hydration

Graybeal measured heat of hydration in a well-insulated calorimeter and reported a temperature 

rise of about 65 °F (36 °C).(22)

BOND STRENGTH

Carbonell et al. investigated the bond strength between conventional concrete substrates and 

UHPC toppings.(123)Primary variables were surface temperature and moisture condition of the 

substrate. Half the specimens were subjected to 300 freeze-thaw cycles in accordance with 

ASTM C666 Method B. (124)The authors evaluated bond strength using an indirect splitting 

tensile test along the interface. Samples subjected to the freeze-thaw tests had greater bond 

strength than samples of the same age without freeze-thaw cycles. Samples in which the 

substrate was saturated before placing the UHPC achieved higher bond strengths than samples 

with a dry substrate. 

IMPACT RESISTANCE

Bindiganvile et al. compared the impact resistance of UHPC with that of conventional fiber 

reinforced concrete (FRC).

(125) Under quasistatic loading, UHPC was two to three times stronger 

in flexure and absorbed three times greater energy than conventional steel FRC or polypropylene 

FRC. Under impact loading, the UHPC was approximately twice as strong as conventional FRC 

and dissipated three to four times as much energy. 

Cadoni et al. observed that the first cracking stress under dynamic loading was two to three times 

greater than under static load.(126)The impact resistance of UHPC for use in piles was 

investigated by Leonhardt et al.(127)

Further discussion of impact resistance can be found in chapter 6 under the discussion of security 

applications.

CREEP

The standard test method for creep in North America is ASTM C512.(128)In this test, specimens 

are subjected to a constant axial stress, and the change in length over time is measured. Results 

may be expressed as a creep coefficient = creep strain/initial strain or specific creep = creep 

strain/applied stress.

Graybeal conducted creep tests on 4-inch (102-mm)-diameter cylinders loaded at ages of 4, 21, 

and 28 days depending on the method of curing.(22) Creep coefficients after 1 year ranged from 

0.29 to 0.78, and specific creep ranged from 0.04 to 0.15 millionth/psi (5.7 to 21.2 millionths/

MPa), depending on the method of curing and loading age. For reference, the specific creep of 

conventional concrete is in the range of 0.25 to 1.0 millionths/psi.

Graybeal also conducted creep tests on 4-inch (102-mm) diameter cylinders with compressive 

strengths between 8.0 and 13.0 ksi (55 and 90 MPa) at stress-to-strength ratios ranging from 0.60 

to 0.85 to represent the application of prestressing forces prior to steam curing. Measured creep 
24

coefficients after 30 min under sustained load ranged from 0.32 to 0.85. These values would be 

considered high for the short duration of loading.

Burkhart and Müller measured the effect of age of loading, specimen size, stress level, and 

curing conditions (sealed and unsealed) on the creep of UHPC.

(129) Reported specific creep 

values after about 100 days under load ranged from 0.11 to 025 millionths/psi (16 to 

35 millionths/MPa). Measured creep coefficients after 100 days under load were between about 

0.9 and 1.3. The measured creep was observed to decrease with age at loading and increased 

specimen size. This behavior is similar to that of conventional concrete.

Ichinomiya et al. reported specific creep values ranging from 0.19 to 0.28 millionths/psi (28 to 

40 millionths/MPa) after 150 days under load for specimens loaded at 2 and 4 days.(92)For 

specimens loaded at 28 days, the specific creep was about 0.08 millionths/psi 

(11 millionths/MPa) after about 120 days.

Acker and Behloul reported specific creep values between 0.30 and 0.22 millionths/psi (43 and 

32 millionths/MPa) for ages of loading between 4 and 28 days.(130) Fehling et al. reported specific 

creep values between 0.32 and 0.15 millionths/psi (47 and 22 millionths/MPa) and creep 

coefficients between 2.27 and 1.08 for ages of loading between 1 and 28 days.(121)

Francisco et al. reported creep strains of about 1,000 millionths after 30 days under load at a 

stress of about 8.7 ksi (60 MPa), corresponding to a specific creep of about 0.12 millionths/psi 

(17 millionths/MPa).

(131)

The 2.75-inch (70-mm)-diameter cylinders were cured at 122 °F 

(50 °C) prior to loading at an age of 2 days. Drying creep was negligible. 

Francisco et al. showed that the specific creep was about the same for heat-treated UHPC 

specimens loaded at an age of 2 days to 25 and 40 percent of the compressive strength.(132)

Flietstra et al. investigated the creep caused by applying a compressive stress and then subjecting 

the loaded specimens to different curing regimes.(133)This test simulated transfer of the 

prestressing force prior to heat treatment.

SHRINKAGE

Two types of shrinkage may be present in UHPC. Drying shrinkage is that caused by loss of 

moisture from the UHPC. Autogenous shrinkage is that caused by a decrease in volume as the 

cementitious materials hydrate. The standard test in the United States for measuring shrinkage is 

ASTM C157, which is designed to measure drying shrinkage beginning after the concrete has 

hardened.(134) Other methods are used to measure autogenous shrinkage because these 

measurements must begin immediately after the UHPC is placed.

Shrinkage of UHPC measured in accordance with ASTM C157 using 3- by 3-inch (76- by 

76-mm) prisms provided an ultimate shrinkage range of 620 to 766 millionths, depending on the 

method of steam curing, and 555 millionths for untreated specimens.(22)The initial shrinkage rate 

of UHPC was also measured in separate tests. During the initial hydration period, peak shrinkage 

of 64 millionths/hour was measured. As much as 400 millionths of shrinkage occurred in the first 

24 hours for untreated specimens. Following steam curing, further shrinkage was almost 

eliminated.

(22,130)
25

Measurements of shrinkage by Burkhart and Müller starting 1 or 2 days after casting showed no 

difference between sealed and unsealed cylinders and among specimens with diameters of 3, 4, 

and 6 inches (75, 100, and 150 mm).(129)They attributed most of the shortening to that caused by 

autogenous shrinkage, with very little caused by drying shrinkage. All values were about 

300 millionths after 200 days of measurements. Autogenous shrinkage values of 600 to 

900 millionths at 28 days were reported by Eppers and Müller, 200 to 550 millionths at 150 days 

by Ichinomiya et al., and about 640 millionths at 365 days by Lallemant-Gamboa et al.

(135,92,93)

Fehling et al. reported total shrinkage of 700 and 900 millionths at 7 and 28 days, respectively, 

for sealed specimens. For specimens subjected to heat treatment, the subsequent shrinkage was 

negligible.(121)

Francisco et al. reported autogenous shrinkage of about 270 millionths and drying shrinkage of 

about 100 millionths at 350 days on 2.75-inch (70-mm)-diameter cylinders cured at 122 °F 

(50 °C).(131)

Ma et al. showed that the autogenous shrinkage could be reduced considerably by including a 

basalt coarse aggregate with an aggregate size ranging from 0.08 to 0.40 inches (2 to 5 mm).(104)

The coarse aggregate had a relatively small effect on the fresh concrete properties, compressive 

strength, and modulus of elasticity. Significant reduction of early age autogenous shrinkage was 

obtained by replacing silica fume with metakaolin in specimens cured at 68 °F (20 °C).(136)For 

UHPC cured at 108 °F (42 °C), the total shrinkage measured for a mix containing metakaolin 

was negligible compared with mixes with silica fume or fly ash.(110)

To offset the magnitude of autogenous shrinkage, Suzuki et al. and Kim et al. investigated the 

use of an expansive additive and a shrinkage reducing additive.(137,138)Suzuki et al. reported that 

an autogenous shrinkage of more than 700 millionths would be reduced to zero with the use of 

these materials. Kim et al. reported that total shrinkage at 90 days was reduced from 800 to 

400 millionths.

SUMMARY OF MECHANICAL PROPERTIES

The application of heat curing has a significant and immediate impact on the mechanical 

properties of UHPC. It increases the compressive strength, tensile cracking strength, and 

modulus of elasticity. It decreases creep and virtually eliminates subsequent shrinkage. These 

beneficial properties can also be achieved without heat curing. However, the effect is reduced,

and it takes a longer time to achieve the beneficial properties.

Sufficient information has been published about the mechanical properties of UHPC to establish 

a range of properties to consider in structural design. These are listed in table 9.
26

Table 9. Range of UHPC material properties

Property Range

Compressive strength 20 to 30 ksi 140 to 200 MPa

Tensile cracking strength 0.9 to 1.5 ksi 6 to 10 MPa

Modulus of elasticity 6,000 to 10,000 ksi 40 to 70 GPa

Poisson’s ratio 0.2 0.2

Coefficient of thermal expansion

5.5 to 8.5 

millionths/°F

10 to 15 

millionths/°C

Creep coefficient10.2 to 0.8 0.2 to 0.8

Specific creep1

0.04 to 0.30 

millionths/psi

6 to 45 

millionths/MPa

Total shrinkage2

Up to 900 

millionths

Up to 900 

millionths

1 Depends on curing method and age of loading.

2 Combination of drying shrinkage and autogenous shrinkage and depends on curing method.

Creep of UHPC is much less than conventional concrete. This results in reduced prestress losses 

but can be detrimental if relied on to reduce stresses in restrained members.

The total shrinkage reported in table 9 includes both drying and autogenous shrinkage. From the 

reported data, most of the shrinkage is autogenous shrinkage.

UHPC has sufficient fatigue resistance in both tension and compression to resist several million 

cycles of loading. Its impact strength is two to three times higher than its static strength. 
27

CHAPTER 4. STRUCTURAL DESIGN AND STRUCTURAL TESTING

This chapter summarizes available information about the structural design of UHPC members 

and the testing that has been performed on structural members. The different sections in this 

chapter correspond to articles in the AASHTO Load & Resistance Factor (LRFD) Bridge Design 

Specifications.(76)

As noted in chapter 3, it is important to recognize that the dispersion and orientation of the fiber 

reinforcement are critical parameters that influence the structural behavior of UHPC. The fiber 

reinforcement serves to resist tensile stresses in the UHPC component both before and after 

tensile cracking of the UHPC matrix. Post-cracking structural response of UHPC is particularly 

susceptible to degradation from disadvantageous fiber dispersion and/or orientation. Mixing and 

placing methods can affect the hardened UHPC mechanical response and thus must be 

appropriately coordinated to ensure acceptable structural performance. A framework for 

addressing the reliance on fiber reinforcement in the tensile mechanical resistance of UHPC 

structural components has been presented in the Service d'étude des transports, des routes et de 

leurs aménagement-Association Francaise de Genie Civil (SETRA-AFGC) design 

recommendations.(4)

FLEXURAL AND AXIAL LOADS

Flexural Members

The calculated flexural resistance of concrete components is generally based on the conditions of 

equilibrium of forces and strain compatibility. The usable compressive strain in unconfined 

concrete is limited to a maximum value of 0.003. The shape of the stress-strain curve may be any

shape that results in a prediction of strength in substantial agreement with test results. For 

simplification, a rectangular stress block for the compression zone is usually assumed. The 

tensile strength of the concrete is neglected. The applicability of this approach for use with 

UHPC has been addressed in several articles.

Graybeal tested a 36-inch (0.91-m)-deep AASHTO Type II girder made of UHPC in flexure 

using four-point bending on a span length of 78.5 ft (23.9 m).(109)(See figure 10.) The girder 

contained twenty-four 0.5-inch (12.7-mm)-diameter strands. Prior to reaching peak load, the 

girder achieved a deflection of almost 19 inches (480 mm) and failed by a combination of tensile 

fracture of the strands and pullout of the fibers.
28

Figure 10. Photo. Flexural test of an AASHTO Type II girder made of UHPC

The peak applied load on the girder produced a bending moment of 38,700 kip-inches 

(4,370 kN-m). A flexural analysis, assuming a rectangular stress block and that the UHPC 

carried no tensile forces after cracking, produced a calculated moment capacity of 

27,840 kip-inches (3,150 kN-m)—considerably less than the measured strength. Based on 

analysis of the measured data, Graybeal proposed that flexural capacity could be calculated more 

accurately assuming the following UHPC stress-strain curve: 

 In compression, a linear relationship up to 0.85 times the compressive strength.

 In tension, a rigid-plastic relationship with a conservative value of post-cracking tensile 

strength and a limiting tensile strain.

For his test data, stress-strain relationships would be as follows:

 In compression, a linear relationship from the origin to a compressive stress of 24 ksi 

(165 MPa). Based on the graphical depiction, the modulus of elasticity appears to be 

about 8,000 ksi (55 MPa).

 In tension, a constant stress of 1.5 ksi (10.3 MPa) over a strain range from zero to 0.007.

The flexural strength of the section can then be calculated using a traditional mechanics of 

materials approach. 

Graybeal also tested two pi-girders made of UHPC in flexure using four-point bending.(139)The 

span lengths of the girders were 69 and 45 ft (21 and 13.72 m). The girders achieved deflections 

of about 10 and 5 inches (250 and 125 mm) before reaching a peak load. The failure mechanisms

of the two girders were similar. The fibers began to pull out from the matrix at a crack near 

midspan. This shed the tensile force from the fibers to the prestressing strands, which then 

fractured. The moments at first flexural cracking of the girders were 20,600 and 

19,500 kip-inches (2,330 and 2,200 kN-m). The ultimate flexural capacities of the girders were 
29

37,600 and 38,190 kip-inches (4,250 and 4,310 kN-m). A third girder that was intended to fail in 

shear failed in flexure at a moment of 36,720 kip-inches (4,150 kN-m). Based on an analysis in 

accordance with the AASHTO LRFD Bridge Design Specifications, a 70-ft (21.3-m) girder has a 

Service III moment demand of 19,940 kip-inches (2,250 kN-m) and Strength I moment demand 

of 39,600 kip-inches (4,470 kN-m). The cracking moments observed in the experiment were 

approximately equal to the Service III moment. The measured flexural capacities were, on 

average, about 5 percent less than the required values, indicating the need for additional flexural 

reinforcement.

Meade and Graybeal reported the results of sixteen 6-inch (152-mm)-wide, 15-inch (381-mm)-

deep rectangular UHPC beams tested in four-point bending over a span length of 16 ft 

(4.88 m).

(140)

The test variables were fiber content (0, 1, and 2 percent by volume) and quantity 

of conventional nonprestressed reinforcement (0.00 to 1.00 percent by area). Measured 

compressive strengths of the UHPC ranged from 24.7 to 29.4 ksi (170 to 203 MPa).

Beams containing 1- and 2-percent fiber reinforcement had higher first cracking strengths, better 

post-cracking flexural response, and higher peak loads than beams without fibers. Increasing the 

fiber content from 1 to 2 percent resulted in stiffer post-cracking response and higher peak loads.

The beams containing no fibers failed when flexure-shear cracks extended into the compression 

region under the load points, leading to a shear failure of the flexural compression block in the 

shear span. The beams containing the fibers failed when the fibers pulled out across a critical 

crack and the reinforcing bars ruptured. No concrete crushing was noted.

Visage et al. reported the results of ten 6-inch (152-mm)-square beams tested in flexure.(141)Test 

variables included compressive strength, amount of flexural reinforcement, volume of steel 

fibers, and beam length. Test results were compared with traditional methods of estimating 

moment-curvature relationships. Other flexural tests have been reported by Gröger et al., 

Frettlöhr et al., and Stürwald and Fehling.(142,143,144)

Adeline and Behloul reported flexural tests of two 49.2-ft (15-m)-long UHPC beams containing 

only flexural reinforcement.(145)The beams contained eight or four 0.6-inch (15.2-mm)-diameter 

strands. The beam with eight strands failed by crushing of the UHPC, whereas the beam with 

two strands failed by strand rupture. Both beams exhibited large deflections before failure. The 

authors used a nonlinear multilayer program to predict the moment-deflection curves. They 

obtained very good agreement between the measured and calculated curves in both the elastic 

and plastic parts of the curves.

Maguire et al. tested two full-size double-tee beams in flexure.(146)The beams contained 0.7-inch

(17.8 mm)-diameter strands and UHPC without steel fibers. The measured strengths exceeded 

the calculated strengths using measured properties and a strength design approach. The authors 

concluded that the flexural design procedures of the AASHTO LRFD Specifications for I-girders 

are applicable to UHPC girders.

Steinberg and Reeves examined the reliability of the flexural strength of UHPC AASHTO 

standard box beams based on the AASHTO LRFD Bridge Design Specifications.(147,148,149)The 

reliability analysis consisted of a Monte Carlo simulation and the use of the moment-curvature 
30

approach to calculate flexural strength. The authors concluded that the use of the AASHTO 

LRFD Specifications produces a conservative reliability index when applied to UHPC members. 

For lightly reinforced members, the design may be overly conservative. To rectify this, they 

suggested using a more advanced analysis method, such as moment-curvature, or increasing the 

strength reduction factor.

Prior to construction of Malaysia’s first UHPC motorway bridge, a prototype I-girder was tested 

in flexure using a single point load at midspan.(150)The load-deflection curve predicted by finite 

element modeling matched the measured values very closely.

Sujivorakul developed a flexural model to predict the moment-curvature relationship for doubly 

reinforced UHPC beams.

(151)

The model is based on strain compatibility, equilibrium of forces, 

and the stress-strain relationship of UHPC in tension and compression. 

For strength design, Stürwald and Fehling developed a simplified approach.(144)They used a 

triangular stress block in compression and a rectangular stress block for tension in the UHPC. 

This approach gave calculated strengths within 5 percent of the measured strength of three 

beams. 

Moment Redistribution

Walsh and Steinberg examined the moment redistribution capacity of four small-scale 

continuous two-span UHPC beams with no conventional reinforcement.(152)The test results 

suggested that the moment redistribution of UHPC is comparable to the 20-percent maximum 

given in the AASHTO LRFD Bridge Design Specifications.(76)

Compression Members

Tue et al. examined the capacity of stub columns of UHPC confined by a steel tube.(153)The load 

was applied either to the combined steel and UHPC section or to the UHPC section alone. The 

authors observed that shrinkage of the UHPC produced a gap between the UHPC and the inside 

of the steel tube. This gap only closed after the stresses exceeded the service level and lateral 

strains increased considerably. As such, the confinement effect was not as effective as that 

achieved with conventional concrete.

Empelmann et al. tested six short columns in concentric compression. The 7.9- by 7.9- by 

23.6-inch (200- by 200- by 600-mm) columns contained different amounts of longitudinal and 

transverse reinforcement.(154)

Yan and Feng also tested short UHPC columns with a diameter of 4.3 inches (110 mm) inside 

steel tubes with a wall thickness of 0.19 to 0.26 inches (5 to 6.5 mm).

(155) Measured compressive 

strengths were greater than calculated by the equation in figure 11.
31

Figure 11. Equation. Strength of columns

where: fy = tensile yield strength of the steel tube

As = cross sectional area of the steel tube

f’c = compressive strength of 4-inch (100-mm) UHPC cubes

Ac = cross sectional area of the concrete

The authors noted that confinement of the steel tube was not as effective as that for conventional 

concrete, and therefore, the effect can be neglected in the calculation of axial load.

Tension Members

A method for measuring the uniaxial tensile stress-strain response has recently been developed

by a U.S.–French joint project.(78)The test method provides the response for both precracking 

and post-cracking phases without requiring any complex stress or strain transformations. 

Jungwirth and Muttoni reported the results of direct tension tests on dog-bone shaped specimens 

having a test cross section of 1.8 by 6.3 inches (45 by 160 mm).(156)They reported a linear stressstrain relationship with a modulus of elasticity of about 8,700 ksi (60 GPa) up to a tensile stress 

of 1.2 ksi (8.5 MPa). Following cracking of the specimens, the tensile stress increased to about 

1.45 ksi (10 MPa) before the fibers progressively pulled out at a strain of about 2.5 percent. The 

authors also performed tests on specimens containing nonprestressed reinforcement ranging from 

1 to 4.5 percent by area. All specimens exhibited well-distributed cracking and strains as high as 

10 percent. 

Further discussion of the tensile response of UHPC is provided in chapter 3 under the heading of 

tensile strength. 

Bearing

Holschemacher et al. investigated the bearing strength of two UHPCs, with and without helical 

reinforcement, using two different specimen heights and different diameters of loading 

area.(157,158) Results were compared with the German Standard DIN 1045-1.(159)The results 

indicated that the strengths calculated using DIN 1045-01 equations need to be modified by a 

factor such as 0.8 for them to be applicable to UHPC.

Hegger et al. tested various details for joints between precast UHPC columns.(160)The major test 

variables included dry and wet joints. With dry joints, the surface treatment of the interface 

surfaces and the longitudinal reinforcement ratio were variables. With wet joints, the mortar 

thickness and transverse reinforcement ratios with welded wire reinforcement and steel plates 

were variables. Measured bearing capacities were slightly less than measured on a continuous 

reference column.

N = f

y

As + f

c

'

Ac
32

SHEAR AND TORSION

Sectional Design

The AASHTO LRFD shear design sectional model involves the calculation of three components 

that contribute to shear resistance. They are the concrete contribution, the transverse or shear

reinforcement contribution, and any vertical component of prestressing force from draped 

strands. The procedure involves a combination of theory and empirical factors. In UHPC beams 

with no conventional transverse reinforcement, there is no reinforcement contribution. The 

tensile stresses that develop are carried by the UHPC matrix and steel fibers. 

Graybeal tested three 36-inch (0.91-m)-deep AASHTO Type II prestressed UHPC girders in 

shear. The girders contained no nonprestressed shear reinforcement.

(109)

Each girder failed in a 

different manner. The first girder failed owing to a preexisting horizontal crack at the base of the 

web from a prior flexural test. The second girder failed owing to diagonal tension in the shear 

region. The third girder failed owing to a combination of diagonal tension and strand slip. 

Because the girders did not contain any nonprestressed shear reinforcement and no draped 

strands, Graybeal proposed that the shear capacity could be determined by assuming that all the 

shear forces are carried by diagonal tension and compression in the web of the girder. The 

limiting value is the post-cracking tensile strength of the UHPC. A conservative estimate of this 

value would be required. In addition, it is necessary to determine the state of stress in the girder 

under dead load and prestressing forces.

Graybeal also tested three 33-inch (838-mm)-deep pi-girders with shear spans of 7.0, 6.0, and 

6.0 ft (2.13, 1.83, and 1.83 m) under three-point bending.(113)First, shear cracks appeared at 

shear loads of 175, 180, and 205 kips (780, 800, and 910 kN). The shear loads at failure were 

430, 366, and 510 kips (1,910, 1,630, and 2270 kN). However, the third girder failed in flexure 

rather than loss of diagonal tensile capacity in the web as occurred in the first two girders. Based 

on an analysis in accordance with the AASHTO LRFD Bridge Design Specifications, a 70-ft 

(21.3-m)-span girder has a Service III shear demand of 103.2 kips (459 kN) and a Strength I 

shear demand of 206 kips (916 kN).(76)The measured shear strengths were at least 75 percent 

greater than the Strength I demand. Based on the assumption that the girder webs carried all the 

shear force and that the diagonal tensile force acted uniformly over the relevant cross-sectional 

area of the webs, the calculated diagonal tensile capacities corresponding to the shear loads at 

failure were 2.5, 2.1, and 2.9 ksi (17.2, 14.6, and 20.3 MPa) for the three girders.

Maguire et al. reported shear tests of two full-size double-tee beams.(146)The beams contained 

vertical shear reinforcement consisting of welded wire reinforcement with cross wires for 

anchorage. The UHPC did not contain any steel fibers. Both girders had a measured shear 

strength that exceeded the calculated shear strength based on measured material properties. The 

authors concluded that the AASHTO LRFD Bridge Design Specifications for shear design of 

I-girders is applicable to UHPC girders.(76)

Baby et al. reported on a study investigating the shear performance of UHPC beams.(163,164)

Study variables included prestressed versus nonprestressed beams, the inclusion of stirrups for 

shear reinforcement, and the inclusion of fiber reinforcement. Supplemental beams were cast and 
33

then deconstructed to extract prismatic specimens from the web region for three-point bending 

tests. These small-scale tests provided an indication of the fiber reinforcement orientation and 

effectiveness as shear reinforcement in the web. This research found that the shear design 

recommendations contained within the SETRA-AFGC UHPFRC Design Guidelines were 

conservative for these beams.(4)

Shear tests of UHPC beams without conventional shear reinforcement were conducted by Bunje 

and Fehling.(165) All specimens failed in flexure. Other shear tests were conducted by Hegger et 

al., Hegger and Bertram, Cauberg et al., Fehling and Thiemicke, and Bertram and Hegger. (See 

references 166, 167, 168, 169, and 170.)

Hegger and Bertram tested 15.7-inch (400-mm)-deep prestressed concrete I-beams with a length 

of 185 inches (4.70 m).(167,171)Four series of beams were tested as follows:

 Beams without openings (11 tests).

 Beams with a single web opening (9 tests).

 Beams with several web openings (7 tests).

 Beams with additional shear reinforcement near the openings (9 tests).

The beams in the first three series did not contain any conventional transverse reinforcement.

For beams without openings, the shear strength increased as the fiber content increased. An 

increase in the prestressing force resulted in an increase in the shear strength. The provision of a 

single opening reduced the shear strength. However, the strengths of beams with two openings 

were similar to those of beams with a single opening.

Wu and Han reported tests of 11 reinforced concrete I-girders of which 8 failed in shear.(172)The 

main variables were fiber volume content, flexural reinforcing steel ratio, section type, and span/

depth ratio. No shear reinforcement was provided in the webs. Based on the test results, a 

formula for the first diagonal cracking load was developed. The authors concluded that the 

conventional equations for calculating shear strength are not appropriate and developed an 

analytical model.

Prior to construction of Malaysia’s first UHPC motorway bridge, a prototype I-girder was tested 

in shear using a single point load at midspan.(150) No conventional shear reinforcement was 

included. The shear strength predicted by finite element modeling was 17 percent lower than the 

measured strength. 

Punching Shear

Section 9 of the AASHTO LRFD Bridge Design Specifications requires a minimum deck 

thickness of 7.0 inches (175 mm) unless approved otherwise by the owner.(76)This generally 

precludes the likelihood of a punching shear failure in a bridge deck. The use of thinner sections 

with UHPC increases the likelihood of a punching shear failure and, therefore, the need to 

consider it in design.
34

Harris and Roberts-Wollmann tested twelve 45-inch (1,140-mm)-square UHPC slabs in 

punching shear.(173,174)The variables in the program were slab thicknesses of 2.0, 2.5, and 

3.0 inches (51, 64, and 76 mm) and loading plate dimensions from 1.0 to 3.0 inches (25 to 

76 mm) square. No conventional reinforcement was included. The measured compressive 

strength of the UHPC was 32.1 ksi (221 MPa). Seven of the specimens failed in punching shear 

and five in flexure. The authors concluded that the American Concrete Institute (ACI) 318 

equation for punching shear predicted the failure loads reasonably well but a modified version of 

the ACI model for breakout loads provided the best prediction.(162)They also concluded that a 

1.0-inch (25-mm) slab thickness should provide sufficient thickness to resist punching shear in 

bridge deck applications.

Three larger slabs with dimensions of 7.0 by 12.0 ft and 3 inches thick (2.1 by 3.7 m by 76 mm) 

were loaded with a wheel patch load. These tests represented the top flange of a double-tee 

section. The slabs all failed in tension.

Toutlemonde et al. investigated the local bending and punching shear performance of two-way 

ribbed bridge deck elements.(175) Developed as a potential alternate for orthotropic bridge decks, 

these 15-inch (0.38-m)-deep deck elements were composed of a 2-inch (0.05-m)-thick plate and 

13-inch (0.33-m)-tall bi-directional ribs with a 24-inch (0.6-m) center-to-center spacing. This 

study tested two different commercially available UHPC products. The punching shear capacity 

of the deck plate was observed to be greater than 157 kips (700 kN) under all conventional 

loading scenarios. When the wheel patch was reduced to a 7.5 x 10.2 inch (0.19 x 0.26 m) size, 

the authors observed the punching shear resistance to be between 79 and 94 kips (350 and 

420 kN). 

Naaman et al. evaluated the effect of fibers on the punching shear response of 7-inch (175-mm)-

thick concrete bridge decks with and without reinforcing bars.(176)Three different types of fibers 

were included. Test results showed that the punching shear resistance, the energy-absorption 

capacity, and the resistance to spalling of slabs having only two bottom layers of reinforcing bars 

were significantly better than for the control specimen with four layers of reinforcing bars and 

conventional concrete. The authors concluded that punching shear resistance can be safely taken 

as twice that calculated using the procedures of ACI 318-05.(177)

Saleem et al. tested eight single-tee, simple span beams with a depth of 5 inches (125 mm), a top 

flange width of 12 inches (300 mm), and a span length of 48 inches (1219 mm).(178) A center 

point load was applied over an area 19.7 inches (500 mm) long by 9.8 inches (250 mm) wide,

representing an AASHTO HS20 truck dual tire wheel. All beams contained longitudinal flexural 

reinforcement but only two beams had shear reinforcement. The dominant mode of failure in the 

beams was shear.

Aaleti et al. reported punching shear tests on the 8-inch (200-mm)-deep waffle slab system 

proposed for use on a bridge deck in Iowa.(179)They concluded that the system would not 

experience punching shear failure under the traditional 10 by 20 inch (254 by 508 mm) wheel 

loads. The measured punching shear strength was nearly 2.3 times the estimated value using the 

ACI equation recommended by Harris and Roberts-Wollmann.(174)
35

Punching shear tests were reported by Joh et al.(107)Tests were made on 63-inch (1,600-mm)-

square slabs with thicknesses of 1.6 and 2.8 inches (40 and 70 mm) and loaded through plates 

with dimensions of 2.0 by 2.0, 3.0, 3.9, or 4.9 inches (50 by 50, 75, 100, or 125 mm). The 

1.6-inch (40-mm)-thick slabs reached their flexural strength before punching occurred. The 

2.8-inch (70-mm)-thick slabs failed by typical punching at the center of the slab. The authors 

confirmed that the ACI 318 equation for punching shear gave a reasonable estimate of the 

strength.

Bunje and Fehling conducted punching shear tests of UHPC slabs with thicknesses of 1.2, 1.6, 

2.0, and 3.1 inches (30, 40, 50, and 80 mm).(165)The slabs did not appear to contain any 

conventional flexural reinforcement. All slabs failed in a ductile flexural mode with no punching 

failure.

Moreillon et al. reported punching shear tests in which the primary variables were slab thickness, 

reinforcement ratio, and fiber volume.(180)The authors developed a model for predicting the 

punching shear strength.

Interface Shear 

Twenty-four push-off tests were conducted by Banta to determine whether the horizontal shear 

design equations of the AASHTO LRFD Bridge Design Specifications accurately predict the 

horizontal shear strength between UHPC and lightweight concrete.(181)The test variables were 

interface surface characteristics, interface area, and area of reinforcement crossing the interface.

The author compared the test results of 19 specimens with a smooth interface with the equations 

in the 2004 version of the Specifications, assuming a resistance factor of 1.0 and a friction factor 

of 1.0.(182) Calculated strengths were always greater than measured strengths. It should be noted 

that the cohesion and friction factors have been revised since publication of the 2004 version of 

the LRFD Specifications.

Maguire et al. cautioned that the contribution of the contact surface between precast UHPC 

girders and a cast-in-place conventional concrete deck should be ignored because of the 

difficulty of roughening the top surface of the UHPC girders.(146)

Crane and Kahn investigated the interface shear capacity of five reinforced tee beams with 

UHPC for the web and high-performance concrete (HPC) for the top flange.(183)Test variables 

included interface roughness and amount of interface shear reinforcement. Test results were 

compared with the shear friction equations of the AASHTO LRFD Bridge Design Specifications. 

The equations were unconservative in predicting the shear strength of smooth interfaces even 

with relatively high amounts of shear reinforcement. Consequently, it was recommended that a 

fluted interface be used. 

Hegger et al. conducted direct shear tests on joints between precast elements subjected to various 

levels of compression.(160)They included dry and wet joints with various types of contact 

surfaces. 
36

Shear Connections

Graybeal evaluated the use of UHPC in shear connectors between precast deck panels and 

concrete or steel beams.(184) He tested two full-size beam specimens. The first specimen included 

frequently implemented details used to connect precast concrete slabs to beams. Conventional 

grout was used. The second specimen used simplified connection details in combination with 

UHPC. The tested UHPC connections eliminated all interference points between the girder and 

deck connectors by engaging the mechanical strength of the UHPC to carry the loads between 

the connectors across an otherwise unreinforced plane. Each specimen was subjected to more 

than 11 million cycles of loading followed by a static test to failure. The applied loads surpassed 

the design loads required by the AASHTO LRFD Bridge Design Specifications.(76)The author 

observed no damage in the UHPC connections after they were subjected to 168 psi (1.16 MPa) 

of cyclic horizontal shear stress and 789 psi (5.44 MPa) of static horizontal shear stress along the 

minimum shear plane.

Hegger et al. have tested headed stud and continuous shear connectors using push-off tests and a 

beam test.(185,186,187)The test parameters for the continuous connector push-off tests were steel 

fiber content, transverse reinforcement ratio, and thickness of the connector. The amount of steel 

fibers had a minor effect on the connector strength if a minimum fiber ratio was maintained. The 

arrangement of transverse reinforcement influenced the connector strength, whereas the 

thickness of the connector influenced strength and the mode of failure. In the beam test, the 

plastic moment was developed with no cracks developing at the connector.

Jungwirth et al. and Kohlmeyer et al. also conducted push-off tests of continuous shear 

connectors.

(188,189)

Torsion

Fehling and Ismail tested 7-inch (180-mm)-square beams in pure torsion.

(190)

The parameters 

included steel fiber type, steel fiber volume, longitudinal reinforcement ratio, and web 

reinforcement ratio. The use of longitudinal and transverse reinforcement in combination with 

the steel fibers provided the biggest increase in ultimate torsion capacity and ductility.

Joh tested three 12-inch (300-mm)-square beams in pure torsion.(191) One beam contained no 

conventional reinforcement, one beam contained longitudinal reinforcement in the corners, and 

the third beam contained both longitudinal and transverse reinforcement. The cracking torque 

and torsional strength were reasonably predicted using thin-walled tube theory modified to 

account for the tensile strength of the UHPC.

Empelmann and Oettel conducted tests on seven 20-inch (500-mm)-square hollow boxes with a 

wall thickness of 2 inches (50 mm) at midlength.(192)Test variables included fiber content, 

longitudinal reinforcement ratio, and transverse reinforcement ratio. Four specimens were loaded 

in pure torsion. Three specimens were loaded with a combination of torsion and axial force. The 

experimental results were compared with design equations for conventional concrete members 

based on a space truss model. 
37

PRESTRESSING

Stress Limits

No recommendations about stress limits to be used in UHPC prestressed concrete members were 

identified. However, Graybeal reported high creep on cylinders loaded to between 60 and 

92 percent of the compressive strength at compressive strength levels between 8.5 and 12.5 ksi 

(59 and 86 MPa).

(22)

Loss of Prestress

Loss of prestressing force includes an instantaneous loss when the strands are released and a 

time-dependent loss caused by creep and shrinkage of the concrete and relaxation of the 

prestressing strands. A reasonable estimate of the instantaneous loss can be made if the modulus 

of elasticity of the UHPC is known accurately. The AASHTO LRFD specifications provides two 

methods for predicting time-dependent losses:

(76)

 Approximate estimate of time-dependent losses.

 Refined estimate of time-dependent losses.

Both estimates rely heavily on empirical methods. The applicability of these methods for use 

with UHPC needs to be verified because this study identified no direct methods to measure 

prestress losses in UHPC.

Calculated prestress losses for Type II AASHTO girder based on material property tests were 

35.6 ksi (245 MPa).(109)This included 15.4 ksi (106 MPa) for instantaneous loss, 10.0 ksi 

(69 MPa) for shrinkage, 6.9 ksi (48 MPa) for creep, and 3.1 ksi (21 MPa) for relaxation.

REINFORCEMENT DETAILS

Article 5.10 of the AASHTO LRFD Bridge Design Specifications addresses reinforcement 

details.

(76) No specific publications addressing these details for use with UHPC were identified. It 

is likely, however, that most of these provisions could be used with UHPC because of UHPC’s 

higher compressive and tensile strengths. 

DEVELOPMENT AND SPLICES OF REINFORCEMENT

Deformed Bars in Tension

New York State Department of Transportation performed pullout tests of No. 4, 5, and 6 bars 

embedded 2.9, 3.9, and 4.9 inches (75, 100, and 125 mm), respectively, in 15.7-inch (400-mm)-

diameter UHPC cylinders, which resulted in reinforcement fracture within the length of bar not 

cast into the UHPC.(193)

Graybeal and Swenty conducted pullout tests on No. 4 reinforcing bars embedded into 6-inch 

(152-mm) cubes of two different UHPCs.(194)The rebar was bonded to the field-cast UHPC for 

3 inches only, with the remainder of the length debonded by a foam bond-breaker. All of the 
38

specimens were cast and cured in ambient laboratory conditions. Pullout tests on a UHPC 

formulation intended for use in precast concrete applications resulted in pullout of the bar after 

the tensile yield strength of the bar had been surpassed. Pullout tests on a UHPC formulation 

intended for field-cast applications resulted in tensile rupture of the reinforcement.

Pullout tests were also performed by Holschemacher et al. using 0.32- and 0.39-inch (8- and 

10-mm)-diameter bars.(195,196)They observed that the bond strength and stiffness increased with 

testing ages. Fehling et al. also performed pullout tests on 0.47-inch (12-mm)-diameter bars with 

various amounts of concrete cover and embedment lengths.(197)

Hossain et al. completed pullout and development length tests of glass fiber reinforced polymer 

(GFRP) rebar embedded in two different UHPC formulations.(198) Both No. 5 and 6 bars were 

tested with both high and low modulus of elasticity GFRP formulations. Larger bars and longer 

bond lengths were observed to result in lesser bond strengths, with all specimens failing via bar 

pullout.

Deformed Bars in Compression

No publications about the development length of deformed bars in compression in UHPC were 

identified.

Lap Splices

Graybeal evaluated the performance of six connection details for use between precast concrete 

elements.(193,199)Four connections represented transverse joints between full-depth precast 

concrete deck panels. Two connections represented longitudinal joints between adjacent deck 

bulb-tee girders. Table 10 provides the reinforcement details used in the connection regions. Bars 

from adjacent panels were offset by half the bar spacing.

Table 10. Reinforcement used in connections

Orientation Bar Size Bar Type

Lap 

Length, 

inches

Bar Spacing, inches

Top Bottom

Transverse No. 5 Headed uncoated 3.5 17.7 7.1

Transverse No. 4 Hairpin epoxy coated 3.9 4.3 4.3

Transverse No. 5 Straight galvanized 5.9 17.7 7.1

Transverse No. 5 Straight uncoated 5.9 17.7 7.1

Longitudinal No. 5 Headed uncoated 3.5 17.7 7.1

Longitudinal No. 5 Straight uncoated 5.9 17.7 7.1

1 inch = 25.4 mm

The specimens were loaded on a simple span, with the load applied through a simulated wheel 

patch placed adjacent to the connection near midspan. Cyclic loads were applied first, with the 

test program including at least 2 million cycles to a load just below the cracking strength of the 

specimen followed by at least 5 million cycles to a load larger than the cracking strength of the 
39

specimen. After the completion of the cyclic testing, each test specimen was statically loaded to 

failure. All the specimens survived 7 million cycles of fatigue loading.

The tests showed that noncontact, lap-spliced reinforcement in the transverse and longitudinal 

connections was not susceptible to debonding under cyclic and static loads. The development 

length of straight, uncoated No. 5 reinforcing bars in this test program was demonstrated to be 

equal to or less than 5.9 inches (150 mm) in a non-contact lap splice configuration.

Hegger et al. reported on direct tension tests of lap-spliced specimens.(160)The test variables were 

bar diameter, lap length, steel fiber ratio, transverse reinforcement ratio, and concrete cover.

Hossain et al. reported on testing lap-spliced GFRP rebar in field-cast connections between 

prefabricated bridge deck elements.(198)This testing, which included both static and cyclic 

flexural loading of the beam splice connections, demonstrated that 5.9- to 8.9-inch (150- to 

225-mm) lap splice lengths can be appropriate for GFRP rebar embedded in UHPC.

Standard Hooks in Tension

No publications about the development length of standard hooks in tension in UHPC were 

identified. However, it is likely that the existing provisions of the AASHTO LRFD Bridge 

Design Specifications are applicable because of UHPC’s higher compressive and tensile 

strengths.(76)

Welded Wire Reinforcement

No publications about the development length of welded wire reinforcement in UHPC were 

identified. However, it is likely that the existing provisions of the AASHTO LRFD Bridge 

Design Specifications are applicable because of UHPC’s higher compressive and tensile 

strengths.(76)

Shear Reinforcement

No publications about the development length of shear reinforcement in UHPC were identified. 

However, it is likely that the existing provisions of the AASHTO LRFD Bridge Design 

Specifications are applicable because of UHPC’s higher compressive and tensile strengths.(76)

Development of Prestressing Strand

Measured transfer and development lengths from various researchers are summarized in table 11.
40

Table 11. Measured transfer and development lengths

Strand Diameter Transfer Length

Development 

Length Source

inches mm inches mm inches mm

0.6 15.2 14 356 < 35 < 890 Ruiz et al.(200,201)

0.5 12.7 8.7 to 11.0 220 to 280 — — Bertram and Hegger(202)

0.7 17.8 17 to 21 430 to 530 — — Maguire et al.(146)

0.5 12.7 — — < 37 < 940 Graybeal(109)

— No data reported.

Graybeal reported results of a study investigating the lap-splice length of unstressed prestressing 

strands.(203)Strands were lapped inside UHPC prisms and then loaded in direct tension. Strand 

rupture failures indicated that that lap length for 0.5-inch (12.7-mm)-diameter strands is 

approximately 18 inches (457 mm), and the lap length for 0.6-inch (15.2-mm)-diameter strands 

is approximately 26 inches (660 mm).

Steinberg and Lubbers reported the results of pullout tests of 0.5-inch (12.7-mm)-diameter 

standard and oversize prestressing strands embedded 12, 18, and 24 inches (305, 457, and 

610 mm) in UHPC.

(204,205)

In comparison with conventional concrete having compressive 

strengths less than 4.0 ksi (28 MPa), the UHPC had higher bond strengths. The results indicated 

that the strand strength was developed in less than 12 inches (25.4 mm).

Based on tests with 0.5-inch (12.7-mm)-diameter seven-wire strands, Hegger et al. showed that 

the minimum cover and minimum clear spacing to prevent splitting in UHPC could be reduced 

to 1.5d and 2.0d where d is the strand diameter.(166)This is less than required by the German DIN 

1045-01 for conventional concrete.(159)In other tests, a concrete cover less than 2.5d led to 

splitting cracks.(206)The authors recommended a minimum cover of 2.5d and a minimum clear 

spacing of 2.0d.

(202)

STRUCTURAL ANALYSIS

Chen and Graybeal reported the results of a research program to develop finite element analysis 

modeling techniques applicable to UHPC structural components.(207)The mechanical properties 

used in the modeling are given in table 12.

Results of the analysis using the values given in table 12 compared favorably with values 

measured during tests on an I-girder and a pi-girder.(208,209)
41

Table 12. UHPC properties used in finite element modeling

Value

Property English Units Metric Units

Unit Weight 160 lb/ft22,565 kg/m2

Compressive Strength 29 ksi 200 MPa

Modulus of Elasticity 7,650 to 8,000 ksi 53 to 55 GPa

Poisson’s Ratio 0.18 0.18

Post-Cracking Tensile 

Strength 1.4 to 2.3 ksi 9.7 to 15.9 MPa

Ultimate Tensile 

Strain 0.007 to 0.010 0.007 to 0.010

DESIGN GUIDELINES

The literature search identified the following national recommendations for UHPC:

 Design Guidelines for Ductal Prestressed Concrete Beams (Australia).

(210)

 Recommendations for Design and Construction of Ultra High Strength Fiber Reinforced 

Concrete Structures by the Japan Society of Civil Engineers.(8)

 Ultra High Performance Fibre-Reinforced Concretes, Interim Recommendations prepared 

by AFGC (French Association of Civil Engineers) and SETRA (French Road and Traffic 

Government Agency (SETRA-AFGC 2002).

(4)

On a more global scale, the Fédération Internationale du Béton (fib) Task Group 8.6 is 

developing recommendations tailored to the design of UHPC structures.(211)The table of contents 

of the draft version have been published in Walraven.(211)

Design Guidelines in Australia

The Australian guidelines were developed for the design of prestressed concrete beams 

manufactured using Ductal®.

(210) Where possible, a limit state approach consistent with the 

design requirements of the Australian Standard for Concrete Structures AS3600-1994 was 

adopted.(212)The design procedures are based on the principles of structural mechanics and the 

material properties and behavior reported in the literature. Design guidelines are provided for 

strength, serviceability, and durability.

The material design properties address behavior in compression and tension, modulus of 

elasticity, density, Poisson’s ratio, creep, and shrinkage. Design guidelines are provided for 

strength in flexure, strength in shear, strength in torsion, flexural crack control at service loads, 

deflection at service loads, loss of prestress, and anchorage zones.

Theoretical flexural capacity is based on equilibrium of forces and strain compatibility using 

idealized stress-strain curves in compression and tension for UHPC. A strength reduction factor 

of 0.8 is used for sections containing bonded reinforcement and 0.7 for sections containing no 
42

bonded reinforcement. Ductility is provided by limiting the ratio of neutral axis depth to 

effective depth to a maximum value of 0.4. 

Shear strength of the UHPC in beams is based on limiting the principal tensile stress at the 

centroidal axis or at the junction of the web and flange to a maximum value based on a section 

uncracked in flexure. This maximum value is provided in figure 12. When beams contain stirrups 

or inclined tendons, their contribution to shear resistance may be included in the same way as 

conventional reinforced concrete design. An equation is provided for the punching shear 

strength.

Figure 12. Equation. Shear strength of UHPC beams(210)

The torsional strength, for a member not containing torsional reinforcement, is taken as the pure 

torsion required to cause first cracking.

Flexural cracking is controlled by limiting the maximum tensile stress to 870 psi (6.0 MPa) in 

nonprestressed elements and 1,160 psi (8.0 MPa) in prestressed elements.

Short-term deflections are calculated using conventional procedures for uncracked sections and 

integration of curvatures for cracked sections. Long-term deflection calculations are based on an 

age-adjusted effective modulus.

The guidelines suggest that a reliable estimate of prestress losses can be obtained using the ageadjusted effective modulus. 

The transfer length of prestressing strands is to be taken between 20db and 40db depending on the 

stress condition being analyzed, where db is the strand diameter.

Appendices to the guidelines provide design examples.

This document could provide a template for a similar set of guidelines based on the AASHTO 

LRFD Bridge Design Specifications.(76)

Design Document from Japan Society of Civil Engineers

The draft recommendations in Recommendations for Design and Construction of Ultra High 

Strength Fiber Reinforced Concrete Structures (Draft), published by the Japan Society of Civil 

Engineers in 2006, provide basic principles for design and construction using UHPC.(8)The 

design values for materials include compressive strength, first cracking strength, tensile strength, 

stress-strain relationships, modulus of elasticity, Poisson’s ratio, thermal characteristics, 

shrinkage, creep, and fatigue. Other chapters address structural safety (strength design), 

serviceability, fatigue resistance, structural details, prestressed concrete, durability, construction 

(constituent materials, mix proportions, production, transportation, and inspection), cold-weather 

concreting, and hot weather concreting. The recommendations build on the Standard 

5.0 + 0.13 f

c

'

in SI units
43

Specifications for Concrete Structures prepared by the Japanese Society of Civil Engineers.(213)

Both recommendations and extensive commentary are provided.

For flexural design, the use of stress-strain curves rather than an equivalent stress block is 

recommended. No minimum amount of steel reinforcement is required because the bridging 

action of the steel fibers provides the strength after cracking. 

Shear capacity is calculated as the summation of the shear resistance provided by the matrix, 

fiber reinforcement, and vertical component of the prestressing force or the shear resistance to 

diagonal compression failure. The use of shear reinforcement is not recommended. Torsional 

design is based on the Society’s Standard Specifications. An equation is provided for the 

calculation of punching shear strength.

Serviceability is addressed by checks on stresses, displacements, deformations, vibrations, and 

other parameters as needed. Verification of fatigue resistance relies on the provisions of the 

Standard Specifications. 

In pretensioned concrete, the clear vertical or horizontal distance between strands may be equal 

to the strand diameter. A minimum clear cover of 0.8 inches (20 mm) is permitted.

Overall, the document is comprehensive, although it defaults to the Standard Specifications 

where information is not available to develop different recommendations for UHPC.

AFGC-SETRA Recommendations

The French recommendations are composed of three parts.(4)The first part provides 

specifications regarding the mechanical properties to be obtained, procedures to be used for

placement, and checks and inspection during construction and of the finished product. The 

second part deals with the design and analysis of UHPC structures and accounts for the 

participation of fibers, nonprestressed reinforcement, and non-reinforced elements. The third part 

deals with durability of UHPC.

The first part provides design information for compressive strength, tensile strength, modulus of 

elasticity, Poisson’s ratio, coefficient of thermal expansion, shrinkage, creep, and impact 

behavior. Mix design, mixing procedures, placement practices, and tests are addressed.

The design methods in the second part are based on the French codes for prestressed and 

reinforced concrete but take into account the strength provided by the fibers. The 

recommendations include an orientation coefficient that accounts for the alignment of fibers that 

may occur during placement. A minimum fiber content and non-brittleness check is also 

required. The stresses at the serviceability limit state are addressed in the same way as 

conventional reinforced or prestressed structures. When no prestressing steel or nonprestressed

reinforcement is provided, a crack width criterion is used.

For the ultimate flexural strength limit state, the recommendations propose a stress-strain 

relationship that is linear for the compressive stress range but multilinear in the tensile stress 

range to account for the effect of the fibers.
44

At the serviceability limit state for shear, the recommendations use the shear stress limits of the 

French Code for prestressed concrete. Shear strength is calculated as the summation of the shear 

resistances provided by the concrete, reinforcement, and fibers.

The components of the third part address water porosity, oxygen permeability, chloride ion 

diffusion, portlandite content, stability of admixtures, delayed hydration, corrosion of steel 

fibers, and durability of polymer fibers.

More details on specific topics are provided in nine appendices. Feedback and research resulting 

from the use of the French recommendations have been summarized by Resplendino.(214)

SUMMARY OF STRUCTURAL DESIGN

Limited testing under flexural or axial loads indicates that the flexural and axial strengths of 

UHPC members can be calculated with reasonable accuracy if the stress-strain relationships of 

UHPC are included in the analyses. However, the calculations are more complex than using the 

simplified approach of a rectangular compressive stress block and zero tensile strength. 

The shear strength of UHPC beams containing conventional shear reinforcement and no steel 

fibers can be predicted using the sectional design method of the AASHTO LRFD Bridge Design 

Specifications.(76)For UHPC beams with steel fibers and without conventional shear 

reinforcement, a strength calculation based on the maximum principal tensile stress has been 

used. 

Where design for punching shear is required, the equations in ACI 318 may be used.(162)For 

shear friction, the available test results need to be compared with the existing specifications.

The limited information available on torsion tests indicates that design could be performed using 

traditional mechanics of materials approach and limiting the maximum principal tensile stress.

For prestressed concrete, no stress limits or prestress loss values have been established for 

UHPC. The limited information on transfer length and development length of prestressing strand 

indicates that the lengths are much shorter in UHPC than in conventional concrete. Similarly, 

development lengths for deformed bars in tension and lap splices in tension are shorter than for 

conventional concrete.

For prestress losses, approximate estimates can be made using the modulus of elasticity, creep, 

and shrinkage data summarized in chapter 3.

Information on reinforcement details, standard hooks in tension, and development of welded 

wire reinforcement and shear reinforcement in UHPC members was not identified.

Three countries have developed design guidelines for use with UHPC. Although these 

documents are not as complete as the AASHTO LRFD Bridge Design Specifications, they do 

address the major design requirements.(76)
45

CHAPTER 5. DURABILITY AND DURABILITY TESTING

INTRODUCTION

The use of UHPC in any infrastructure application requires the UHPC to have adequate 

resistance to deterioration caused by the environment to which it is exposed. This chapter reports 

on the durability of UHPC based on the parameters and tests generally used to determine the 

durability of conventional concrete.

PERMEABILITY

In the United States, the permeability of concrete is generally assessed using AASHTO T 277 

(ASTM C1202)—Electrical Indication of Concrete’s Ability to Resist Chloride Ion 

Penetration.(215,216)Tests conducted by Graybeal in accordance with ASTM C1202 resulted in 

values of less than 40 coulombs at 28 days for steam-cured specimens and values of 360 and 

76 coulombs at 28 and 56 days, respectively, for untreated specimens.(22) Materials with values 

less than 100 coulombs are considered to have negligible chloride ion penetrability.

Ahlborn et al. reported rapid chloride permeability values of less than 100 coulombs for both aircured and heat-treated concretes.(108) Bonneau et al. reported values of 6 to 9 coulombs for two 

different mixes.(105)Thomas et al. reported values of zero to 19 coulombs at an age of 

28 days.(217) Ozyildirim reported values of 19 and 35 coulombs.(45)

Chloride penetration tests in accordance with AASHTO T 259 were also reported by 

Graybeal.(22,218)This test involves ponding a 3-percent sodium chloride solution on the surface of 

the concrete for 90 days and then determining the penetration of the chlorides into the concrete. 

Although there tended to be higher levels of chloride ions near the surface, the amount of 

chloride that penetrated into the concrete was extremely small. 

Different tests for permeability are used in other countries. One measure of chloride penetration 

is the value of its chloride diffusion coefficient. Reported values are as follows:

 2 x 10

-15 m2

/second in steady-state conditions and 3 x 10-11m

2

/second in non-steady-state 

conditions.(219)

 1.3 x 10-13 m

2

/second at 28 days.

(217)

 2.3 x 10-13 m

2

/second in a non-steady-state condition.

(220)

Gao et al. tested the permeability of UHPC using pressure testing. No water leakage occurred 

when the hydraulic pressure was increased from 14.5 to 232 psi (0.1 to 1.6 MPa) at a rate of 

14.5 psi (0.1 MPa) per 8 hours.

(91) After removing the pressure, moisture had penetrated 

0.11 inches (2.7 mm) into the specimens.

The effects of microcracks induced by loading on chloride penetration have also been 

investigated. Graybeal examined the penetration of a 15-percent sodium chloride solution into 

the tension face of a beam.(221)The beam was subjected to 500,000 cycles of repetitive loading 
46

over 154 days to a maximum tensile stress 14 percent above the first cracking load. The solution 

penetrated to a depth of 0.12 inches (3 mm) on the side faces and 0.2 inches (5 mm) on the 

tensile face of the beam. The steel fibers crossing crack planes did not show any visible signs of 

section loss or tensile failure.

Aarup loaded small reinforced beams with a cover to the reinforcement of 0.4 inches (10 mm) to 

produce various levels of bending stresses.(23) Over a period of 4 years, during which the beams 

were repeatedly exposed to a salt solution for 2 days and dried for 5 days, no correlation between 

loading of the beams and chloride diffusion was observed and no corrosion occurred. Measured 

diffusion coefficients for unloaded and loaded beams ranged from 2x10-14 to 1x10-15 m

2

/second.

Charron et al. reported the results of permeability tests on UHPC specimens previously subjected 

to various levels of tensile deformation.(222) Based on the test results, the maximum residual 

tensile strain whereby the water permeability remained low was determined to be 0.13 percent.

FREEZE-THAW RESISTANCE

The standard test for freeze-thaw resistance in the United States is AASHTO T 161 (ASTM 

C666)—Resistance of Concrete to Rapid Freezing and Thawing.(223, 124) AASHTO T 161 has two 

procedures. Procedure A involves rapid freezing and thawing in water while Procedure B 

involves rapid freezing in air and thawing in water. Tests of UHPC beginning 5 to 6 weeks after 

casting and using Procedure A were reported by Graybeal.(22)Specimens subjected to steam 

curing prior to testing and untreated specimens showed very little deterioration throughout 

690 cycles of freezing and thawing. The specimens that were untreated continued to hydrate and 

gain strength during the testing sequence.

The ability of conventional concrete to resist freeze-thaw damage can also be assessed by 

measuring certain parameters of its air-void system. Air-void analyses of UHPC reported by 

Graybeal are shown in table 13.

(22)

Table 13. Air-void system parameters

Value

Parameter inches mm

Voids 2.0 to 7.6/inches 0.08 to 0.30/mm

Specific surface 250 to 405 inches2/inches39.8 to 15.9 mm2/mm3

Spacing factor 0.009 to 0.027 inches 0.23 to 0.69 mm

Despite having an air-void system that might not be suitable with conventional concrete, the 

UHPC performed adequately in freeze-thaw testing.

Bonneau et al. reported that the durability factor of three different mixes was equal to or greater 

than 100 when tested using ASTM C666 Procedure A.(105)

Acker and Behloul reported tests with 400 cycles of freezing and thawing that showed no 

degradation.(130)Similar results were obtained by Ahlborn et al. and Piérard et al.(108,220)

Magureanu et al. reported that UHPC samples displayed higher values for compressive strength, 
47

static modulus of elasticity, and dynamic modulus of elasticity after 1,098 freeze-thaw cycles 

compared with control specimens.(69)

Based on their research, Müller et al. concluded that UHPC mixes show an extremely high 

freeze-thaw resistance to water with or without deicing salts.(224)They attributed this to the very 

low moisture uptake by the UHPC.

SCALING RESISTANCE

The standard test for evaluation of scaling resistance in the United States is ASTM C672—

Scaling Resistance of Concrete Surfaces Exposed to Deicing Chemicals.(225)In this test, the 

surface is exposed to a salt solution and subjected to daily freeze-thaw cycles. Generally, 

50 cycles are sufficient to evaluate a surface. Graybeal reported that after 215 cycles, no surface 

scaling of UHPC specimens had occurred.(22) Bonneau et al. reported very low amounts of 

scaling for three mixes after 50 cycles.(105)

Schmidt et al. reported a scaling rate of 100 g/m2(3 oz/yd2) after 56 cycles of freezing and 

thawing compared with the normal acceptance limit for their test of 1,500 g/m2(44 oz/yd2) after 

28 cycles.

(115) Measurements of sound velocities showed no internal damage from freeze-thaw 

testing. Specimens that received no heat treatment showed a higher freeze-thaw resistance 

compared with heat-treated specimens.

Cwirzen et al. examined the effect of heat treatment on the durability of UHPC.(226)The test 

results for specimens without steel fibers showed low surface-scaling values after 56 freeze-thaw 

cycles in all specimens. After 150 freeze-thaw cycles, the heat-treated specimens showed an 

increase in surface scaling. The relative dynamic modulus of the heat-treated specimens dropped 

below 50 percent after 200 cycles, whereas the non-heat-treated specimens showed a very small 

change. The presence of steel fibers restrained the internal damage but caused higher surface 

scaling.

CARBONATION

Carbonation of concrete is a process by which carbon dioxide from the atmosphere penetrates the 

concrete and reacts with various hydration products. Depth of carbonation is typically measured 

by applying phenolphthalein solution to the surface of the concrete and measuring the depth of

the color change.(227)

Small-scale beams of UHPC placed in a carbonation chamber and subjected to flows of 5- or 

100-percent carbon dioxide showed no signs of carbonation after 2 years.(219) On the other hand,

Müller et al. reported that mechanically induced microcracks were observed to be partly or 

completely filled by carbonation.(224)

Piérard et al. reported a carbonation depth of 0.006 to 0.008 inches (1.5 to 2.0 mm) after a 1-year 

exposure to a 1-percent CO2 atmosphere.(220)The duration of the test is generally limited to 

56 days.
48

ABRASION RESISTANCE

Graybeal reported tests for the abrasion resistance of UHPC.(22)The tests were conducted in 

accordance with ASTM C944—Abrasion Resistance of Concrete or Mortar Surfaces by the 

Rotating-Cutter Method on 6-inch (152-mm)-diameter cylinders that were cured using one of 

four curing methods.(228)Three concrete surfaces were used—cast against a steel mold, sand 

blasted, and ground. The double test load was used. The results clearly indicated much higher 

abrasion resistance of steam-cured specimens compared with untreated specimens. For the 

steam-cured specimens, the surfaces cast against the steel mold had higher abrasion resistance 

than the sand-blasted or ground surfaces.

SULFATE RESISTANCE

Piérard reported no deterioration of UHPC when immersed in sodium sulfate solution for 

500 days.(220)

RESISTANCE TO ALKALI-SILICA REACTIVITY

Various tests to determine the resistance of concrete to alkali-silica reactivity (ASR) are 

available.(229) ASTM C1260 contains a test procedure that accelerates any ASR reaction and can 

be accomplished in 16 days.(230) Using a version of this test modified to allow for steam curing, 

Graybeal reported levels of expansion that were an order of magnitude below the threshold value 

for innocuous behavior.(22) He concluded that there should be no concern about ASR with the 

UHPC that was tested. He noted that free water must be present for ASR to occur. With the low 

permeability of UHPC, it is unlikely that free water would be present.

MARINE EXPOSURE

Three series of UHPC mixtures were placed in a marine exposure site at Treat Island, ME.

(217)

The exposure conditions included 20-ft (6-m) tides and more than 100 freeze-thaw cycles per 

year. After 5 to 15 years of exposure and more than 1,500 cycles of freezing and thawing in 

some cases, there was no evidence of deterioration or degradation of mechanical properties. 

The depth of chloride penetration was much lower than observed for typical HPC in the same 

environment.

FIRE RESISTANCE

Behloul et al. have reported information related to the fire resistance of UHPC made with 

Ductal-AF®.

(122) Ductal-AF®

is specially formulated to have fire resistance. Published 

information includes the change in compressive strength, tensile strength, modulus of elasticity, 

thermal conductivity, specific heat, and coefficient of thermal expansion for specimens subjected 

to temperatures between 68 and 1,112 °F (20 and 600 °C).

Fire tests according to ISO 834 were also conducted on columns and beams using both loaded 

and unloaded specimens.(231,122)Some specimens were steam cured while others were not. The 

authors reported that the results were very positive compared with conventional concrete when 
49

using the French rules for fire safety. One feature was the lack of spalling that occurs with 

conventional concrete. This facilitated the use of thermal modeling to predict the behavior.

Heinz et al. reported the fire resistance of UHPC 3.9-inch (100-mm)-diameter cylinders and 

4.7- by 9.4-inch (120- by 240-mm) columns under load.(232)The concretes included either steel 

fibers or a combination of steel and polypropylene fibers. At an age of 24 hours, the specimens 

were heat treated in water at 194 °F (90 °C) for 24 hours. Testing followed the time-temperature 

curve of German standard DIN 4102-2.(233)The cylinders without polypropylene fibers exhibited 

spalling after a few minutes. After 90 minutes, the sample was destroyed beyond recognition. In 

contrast, cylinders containing 0.66 percent by volume of polypropylene fibers showed no signs 

of spalling. However, cracks with widths of 0.012 to 0.02 inches (0.3 to 0.5 mm) were present 

over the whole surface of the cylinders. In testing the columns, spalling occurred after about 

11 minutes. The initial period of spalling was followed by a dormant period with no further 

destruction until fracture of the specimens. The authors concluded that a UHPC with 

3.05 percent by volume of steel fibers and 0.60 percent by volume of polypropylene provided 

the best results. The effects of elevated temperatures on the residual compressive strength and 

modulus of elasticity were also reported by Way and Wille.(234)

Hosser et al. also conducted tests to evaluate which combinations of protective lining and 

polypropylene fiber content were able to minimize spalling under fire exposure.(235)They also 

measured thermal conductivity and specific heat.

Aarup reported that the behavior of UHPC 1 week after fire tests was better than for 

conventional concrete.(23) One reason stated for the improved performance was that the UHPC 

had a very high silica fume content and negligible calcium hydroxide content. A literature review 

of the behavior of UHPC at elevated temperatures has been prepared by Pimienta et al.(236)

SUMMARY OF DURABILITY PROPERTIES

The dense matrix of UHPC prevents deleterious solutions from penetrating into the matrix, and 

so the mechanisms that can cause conventional concrete to deteriorate are not present. 

Consequently, durability properties, as measured by permeability tests, freeze-thaw tests, scaling 

tests, abrasion tests, resistance to ASR, and carbonation, are significantly better than those of 

conventional concrete. For fire resistance, it appears that a special formulation may be necessary.

51

CHAPTER 6. ACTUAL AND POTENTIAL APPLICATIONS

This chapter describes specific applications of UHPC in infrastructure projects. Separate sections 

contain descriptions of the applications in North America (United States and Canada), Europe, 

and Asia/Australasia. Potential applications described in the literature are also presented.

NORTH AMERICA

Table 14 provides a list of the applications in the United States and Canada.

Table 14. UHPC applications in North America

Name Country Year Application

Reference

(First Author)

Mars Hill Bridge, Wapello 

County, IA

United 

States

2006 Three 45-in.-deep bulbtee beamsBierwagon(237)

Endicott(238)

Route 624 over Cat Point 

Creek, Richmond County, VA

United 

States

2008 Five 45-inch-deep bulbtee girdersOzyildirim(45)

Jakway Park Bridge, Buchanan

County, IA

United 

States

2008 Three 33-inch-deep pishaped girdersKeierleber(239)

State Route 31 over 

Canandaigua Outlet, Lyons, NY

United 

States

2009 Joints between deck bulb 

tees

Shutt(240)

State Route 23 over Otego 

Creek, Oneonta, NY

United 

States

2009 Joints between full-depth 

deck panels

Royce(241)

Little Cedar Creek, Wapello 

County, IA

United 

States

2011 Fourteen 8-inch-deep 

waffle deck panels

Moore(242)

Fingerboard Road Bridge over 

Staten Island Expressway, NY

United 

States

2011

to 

2012

Joints between deck bulb 

tees

Royce(241)

State Route 248 over Bennett

Creek, NY

United 

States

2011 Joints between deck bulb 

tees

Royce(237)

U.S. Route 30 over Burnt River 

and UPRR bridge, Oregon

United 

States

2011 Haunch and shear 

connectors and 

transverse joints

Bornstedt(243)

U.S. Route 6 over Keg Creek, 

Pottawatomie County, IA

United 

States

2011 Longitudinal and 

transverse joints between 

beams

Graybeal(63)

Ramapo River Bridge, 

Sloatsburg, NY

United 

States

2011 Joints between full-depth 

deck panels

Anon(244)

State Route 42 Bridges (2) near 

Lexington, NY

United 

States

2012 Joints between full-depth 

deck panels and shear 

pockets

Anon(244)
52

Name Country Year Application

Reference

(First Author)

State Route 31 over Putnam 

Brook near Weedsport, NY

United 

States

2012 Joints between full-depth 

deck panels

Anon(244)

I-690 Bridges (2) over Peat 

Street near Syracuse, NY

United 

States

2012 Joints between full-depth 

deck panels

Anon(244)

I-690 Bridges (2) over Crouse 

Avenue near Syracuse, NY

United 

States

2012 Joints between full-depth 

deck panels

Anon(244)

I-481 Bridge over Kirkville 

Road near Syracuse, NY

United 

States

2012 Joints between full-depth 

deck panels

Anon(244)

Windham Bridge over BNSF 

Railroad on U.S. Route 87 near 

Moccasin, Montana

United 

States

2012 Joints between full-depth 

deck panels and shear 

connections to beams

Anon(244)

Sherbrooke Pedestrian 

Overpass, Quebec

Canada 1997 Precast, post-tensioned 

space truss

Blaise(2)

Highway 11 over CN Railway 

at Rainy Lake, Ontario

Canada 2006 Joints between precast 

panels and shear 

connector panels

Perry(245)

Glenmore/Legsby Pedestrian 

Bridge, Calgary

Canada 2007 Precast, post-tensioned 

tee-section

Perry(246)

Highway 11/17, Sunshine 

Creek, Ontario

Canada 2007 Joint fill between 

adjacent box beams and 

between precast curbs

Graybeal(139)

Highway 17, Hawk Lake, 

Ontario

Canada 2007

to 

2008

Joint fill between 

adjacent box beams and 

between precast curbs

Graybeal(139)

Sanderling Drive Pedestrian 

Overpass, Calgary

Canada 2008 Tee section drop-in 

girder

Anon(244)

Highway 105 over Buller 

Creek, Ontario

Canada 2009 Joint fill between 

adjacent box beams and 

between precast curbs

Graybeal(139)

Highway 71 over Log River, 

Ontario

Canada 2009 Joint fill between 

adjacent box beams and 

between precast curbs

Graybeal(139)

Route 17 over Eagle River, 

Ontario

Canada 2010 Joint fill between 

adjacent box beams and 

between precast curbs 

and to establish live load 

continuity

Graybeal(63,139)
53

Name Country Year Application

Reference

(First Author)

La Vallee River Bridge, Ontario Canada 2010 Joint fill between 

adjacent box beams and 

between precast curbs

Graybeal(139)

Highway 105 over Wabigoon 

River, Ontario

Canada 2010 Joint fill between 

adjacent box beams and 

between precast curbs

Graybeal(139)

Highway 105 over the Chukuni 

River, Ontario

Canada 2010 Shear connector pockets 

and panel joints

Graybeal(139)

Steel River Bridge on

Highway 17, Ontario

Canada 2010 Shear connector pockets 

and panel joints

Anon (244)

Mathers Creek Bridge on 

Highway 71, Ontario

Canada 2010 Joint fill between 

adjacent box beams and 

between precast curbs

Anon (244)

Noden Causeway on 

Highway 11, Ontario

Canada 2010

to 

2013

Joint fill between 

adjacent precast panels

Anon (244)

Highway 17 over Current River, 

Ontario

Canada 2011 Joints between precast 

curbs

Perry(247)

Mackenzie River Bridges (2) on 

Highway 11/17, Ontario

Canada 2011 Shear connector pockets 

and panel joints

Anon (244)

Wabigoon River Bridge on 

Highway 605, Ontario

Canada 2011 Shear connector pockets 

and panel joints

Anon (244)

Whiteman Creek Bridge on 

Highway 24, Ontario

Canada 2011 Shear pockets and 

longitudinal and 

transverse joints between 

precast panels. 

Connections between Hpiles and precast 

abutments

Young(248,249)

Shashawanda Creek Bridge, 

Ontario

Canada 2011 Shear connector pockets 

and longitudinal and 

transverse joints between 

precast panels 

Anon (244)

Hodder Ave Overpass over 

Highway 11/17, Ontario

Canada 2012 Joint fill between 

adjacent box beams and 

between precast curbs

Anon (244)

Hawkeye Creek Bridge on 

Highway 589, Ontario

Canada 2012 Joint fill between 

adjacent box beams and 

between precast curbs

Anon (244)
54

Name Country Year Application

Reference

(First Author)

Hawkeye Creek Tributary 

Bridge on Highway 589, 

Ontario

Canada 2012 Joint fill between 

adjacent box beams and 

between precast curbs

Anon (244)

Black River Bridge on 

Highway 17, Ontario

Canada 2012 Joint fill between 

adjacent box beams and 

between precast curbs

Anon (244)

Beaver Creek Bridge on 

Highway 594, Ontario

Canada 2012 Joint fill between 

adjacent box beams and 

between precast curbs

Anon (244)

Middle Lake Bridge on 

Highway 17A, Ontario

Canada 2012 Joint fill between precast 

curbs and precast 

approach slabs

Anon (244)

Jackpine River Bridge on 

Highway 17, Ontario

Canada 20131Joint fill between 

adjacent box beams and 

between precast curbs

Young2

Bug River Bridge on

Highway 105, Ontario

Canada 20131Joint fill between 

adjacent box beams and 

between precast curbs

Young2

Beaver Creek Bridge on 

Highway 17, Ontario

Canada 20131Joint fill between 

adjacent box beams and 

between precast curbs

Young2

Sturgeon River Bridge on 

Highway 11, Ontario

Canada 20131Joint fill between 

adjacent box beams and 

between precast curbs

Young2

Blackwater River Bridge on 

Highway 11, Ontario

Canada 20131Joint fill between 

adjacent box beams and 

between precast curbs

Young2

Nugget Creek Bridge on 

Highway 17, Ontario

Canada 20131Joint fill between 

adjacent box beams and 

between precast curbs

Young2

Little Wabigoon Bridge on 

Highway 17, Ontario

Canada 20131Joint fill between 

adjacent box beams and 

between precast curbs

Young2

Melgund Creek Bridge on 

Highway 17, Ontario

Canada 20131Joint fill between 

adjacent box beams and 

between precast curbs

Young2

McCauley Creek Bridge on 

Highway 11, Ontario

Canada 20131Joint fill between 

adjacent box beams and 

between precast curbs

Young2
55

Name Country Year Application

Reference

(First Author)

Little Pic River Bridge on 

Highway 17, Ontario

Canada 20131Shear connector pockets 

and panel joints

Young2

Jackfish River Bridge on 

Highway 17, Ontario

Canada 20131Shear connector pockets 

and panel joints

Young2

Westminster Drive, Ontario Canada 20141Longitudinal joints to 

connect superstructure 

modules.

Young2

1

Projected construction date.

2. W. Young to B. Graybeal, personal email communication, December 21, 2012.

The first highway bridge constructed in North America was the Mars Hill bridge in Wapello 

County, IA.(238)The simple single-span bridge, as shown in figure 13, comprises three 110-ft 

(33.5-m)-long precast, prestressed concrete modified 45-inch (1.14-m)-deep Iowa bulb-tee 

beams topped with a cast-in-place concrete bridge deck. Each beam contained forty-seven 

0.6-inch (15.2-mm)-diameter, low-relaxation prestressing strands and no shear reinforcement.

Figure 13. Photo. Mars Hill Bridge, Wapello County, IA

One span of the 10 spans of the Route 624 bridge over Cat Point Creek in Richmond County, 

VA, was built using UHPC.(45)(See figure 14.) Bulb-tees with a depth of 45 inches (1.14 m) and 

a length of 81 ft 6 inches (24.8 m) were used. The specified compressive strengths were 12.0 ksi 

(83 MPa) at release of the strands and 23.0 ksi (159 MPa) for design. The beams did not contain 

any nonprestressed shear reinforcement.
56

Figure 14. Photo. Route 64 over Cat Point Creek, Richmond County, VA

Following extensive research and testing by FHWA, a UHPC bridge using pi-shaped girders was 

constructed in Buchanan County, IA, in 2008.

(239,250) (See figure 15.) The shape is named after 

the Greek letter . The cross section, shown in figure 16, is similar to a double-tee section but 

with bottom flanges on the outside of each web. Three pi-girders were used in the central 

51-ft 4-inch (15.6-m)-long center span of the three-span bridge.

Figure 15. Photo. Jakway Park Bridge, Buchanan County, IA

Figure 16. Illustration. Cross section of pi-shaped girder

π
57

In New York State, several bridges have been built using field-cast UHPC to create connections 

between adjacent precast concrete elements.(241)(See figure 17.) These applications take 

advantage of the short development lengths that can be used for splice lengths of nonprestressed 

reinforcement in UHPC. The same technique was used on the transverse joints over the piers of 

the Keg Creek Bridge, IA, to establish continuity for live load and in the longitudinal joints 

between deck panels. The use of UHPC in the construction of connections is described by 

Graybeal.(251)

Figure 17. Illustration. Cross section showing CIP UHPC connection between precast 

beams

Little Cedar Creek in Wapello County, IA, used 14 UHPC waffle panels for the deck on a 60-ft 

(18.3-m)-long 33-ft (10.0-m)-wide concrete bridge.(242)The panels were 15 ft by 8 ft by 8 inches 

deep (4.6 m by 2.4 m by 203 mm deep) at the deepest point, with the waffle squares having a 

thickness of only 2.5 inches (64 mm). All connections between adjacent panels and from panels

to the precast, prestressed concrete beams used UHPC.

The first bridge to use UHPC in Canada was the pedestrian/bikeway bridge in Sherbrooke, 

Quebec, as shown in figure 18.

(2)

The structural concept consists of a space truss with a top 

UHPC chord that serves as the riding surface, two UHPC bottom chords, and truss diagonals that 

slope in two directions. Each diagonal consists of UHPC confined in 6-inch (152-mm)-diameter 

stainless steel tubes. The bridge was constructed from six prefabricated match-cast segments 

with two half-spans assembled prior to erection across the river to create a 197-ft (60-m)-long

span.
58

Source: Lafarge

Figure 18. Photo. Pedestrian bridge, Sherbrooke, Quebec, Canada

Other bridges in Canada that have used UHPC are listed in table 14. The applications include 

longitudinal and transverse joints between precast components, shear connector pockets between 

beams and slabs, and a precast post-tensioned tee section for a pedestrian bridge. See Figure 19. 

Most of the applications have been in Ontario with leadership by the Ministry of Transportation.

Source: Lafarge

Figure 19. Photo. Glenmore/Legsby pedestrian bridge, Calgary, Alberta, Canada

EUROPE

UHPC has been used in bridges in Austria, Croatia, France, Germany, Italy, the Netherlands, 

Slovenia, and Switzerland as listed in table 15.
59

Table 15. UHPC applications in Europe

Name Country Year Application

Reference

(First Author)

WILD bridge, 

Völkermarkt

Austria 2010 Arch bridge with five 

straight chords

Freytag(252)

Hecht(253)

Bakar bridge Croatia — Arch bridge Čandrlić(254)

Sermaises footbridge France — U-shaped footbridge 

with a 30-min fire 

rating

Behloul(255)

Bourg-Les-Valence 

overpass bridges (2)

France 2001 Pi-shaped beams 

(double tee)

Hajar(256)

PS 34 overpass on the A51

Campenon Bernard

France 2005 Precast, posttensioned segmental 

single cell box girder 

Resplendino (257)

Sainte Pierre La Cour 

bridge, Mayenne

France 2005 Precast, prestressed Ibeams and deck 

panels

Resplendino (257)

Pinel bridge, Rouen France 2007 Prestressed beams de Matteis

(258)

Pont du Diable footbridge France 2008 Prestressed beams and 

deck to form a Ushape

Behloul(259)

TGV East High Speed 

Line, aqueduct

France — Post-tensioned UshapeResplendino (214)

Angels footbridge, Herault France — 221-ft span, 5.9 ftdeep sectionResplendino(214)

Pedestrian/cycle track 

Niestetal

Germany — Post-tensioned trough

section

Fehling(260)

Gaertnerplatz bridge, 

Kassel

Germany 2007 Variable depth space 

truss

Fehling(260,261)

Obertiefenbach Germany 2007 Waterproofing layer 

and hinge

Kim(43)

Friedberg Germany 2007 Pi-shaped beam Fehling(260)

Weinheim Germany 2007 Pi-shaped beam Fehling(260)

— Italy — Bridge Meda(262)

Rehabilitation of 

orthotropic bridge deck, 

Caland 

Netherlands — Toppings and deck 

panels

Buitelaar(263)

Yuguang(264)

Kaag bridges, Sassenheim Netherlands 2002 Deck panels Kaptijn(265)
60

Name Country Year Application

Reference

(First Author)

Log Cezsoski bridge Slovenia 2009 Bridge deck overlay Sajna(266)

Luaterbrunnen footbridge Switzerland — Flooring Resplendino (267)

Single span road bridge Switzerland 2004 Rehabilitation and 

widening of a bridge 

deck

Brühwiler(268)

Crash barrier repair Switzerland 2006 Protective surface 

layer

Brühwiler(268)

Bridge pier repair Switzerland 2007 Precast panels for a 

protective layer

Brühwiler(268)

Various Various — Repair and 

strengthening

Resplendino(214)

— Construction date is unknown.

The Bourg-Les-Valence bridges in France are claimed to be the first UHPC road bridges.(256)

Each bridge consists of two spans made continuous with a CIP UHPC connection between spans. 

The cross section consists of five spliced pretensioned beams that resemble a double-tee with the 

addition of bottom flanges similar to a pi-shaped section. Beam lengths are 67.3 and 73.8 ft 

(20.5 and 22.5 m). The only nonprestressed reinforcement is provided where the components are 

joined together longitudinally or transversely and at locations of attachments. UHPC was used in 

the longitudinal joints between beams.

The PS34 Overpass on the A51 motorway in France is a precast, post-tensioned, single-cell box 

girder bridge with a length of 155.5 ft (47.4 m).(257)The cross section has a constant depth of 

63 inches (1.60 m), a top slab thickness of 5.5 inches (140 mm), and web and bottom slab 

thickness of 4.7 inches (120 mm). The bridge is post tensioned longitudinally with six external 

tendons. 

The St. Pierre La Cour bridge in France consists of 10 UHPC precast, prestressed concrete 

I-beams spaced at 55-inch (1.395-m) centers with a simple span length of 62.3 ft (19 m).(257)The 

deck consists of 1-inch (25-mm)-thick UHPC precast panels and an 8-inch (200-mm)-thick CIP 

deck.

According to Fehling, the first UHPC bridges in Germany were built in Niestetal near Kassel 

with span lengths of 23.0, 29.5, and 39.4 ft (7, 9, and 12 m).(260)The longest span used a shallow 

trough section and was post tensioned. The other two spans used a pi-shaped section and were 

pretensioned. Two other bridges using the pi-shaped cross-section were built near Friedberg and 

Weinheim with span lengths of 39.4 and 59.0 ft (12 and 18 m), respectively.

The Gaertnerplatz bridge, a pedestrian/bicycle bridge across the Fulda River in Kassel, Germany, 

is a six-span structure with a total length of 437 ft (133.2 m) and a main span of 118 ft 

(36 m).(261)The structural system is a variable-depth space truss consisting of two top UHPC 

chords and a single bottom tubular steel chord. The diagonal tubular steel chords are inclined
61

both longitudinally and transversely. The deck spans between and cantilevers beyond the two top 

chords for a total width of 16.4 ft (5 m). Its thickness varies from 3.1 to 3.9 inches (80 to 

100 mm). The deck is glued to the top chords.

In Slovenia, a bridge deck was overlaid with 1 to 1.2 inches (25 to 30 mm) of UHPC.(266) An 

inspection 2 years after installation showed no damage, cracks, or spalling. Applications in 

Switzerland include rehabilitation and widening of an existing bridge, protection layers to repair 

a crash barrier and bridge piers, and flooring for a footbridge.(267,268)

ASIA AND AUSTRALASIA

UHPC applications for highway infrastructure in Australia, Japan, Malaysia, New Zealand, and 

South Korea are listed in table 16. Descriptions of some of these bridges are provided below.

Table 16. UHPC applications in Asia and Australia

Name Country Year Application

Reference

(First Author)

Shepherds Creek Road 

bridge, New South Wales 

Australia 2005 Precast, pretensioned 

I-beams

Rebentrost(269)

Anon(270)

Cavill(271)

Yarra River bridge Australia 2008

to 

2009

Noise barrier 

protection panels

Anon(272)

Kuyshu Expressway bridge Japan — — Okuma(273)

Riverside Senshu footbridge,

Nagaoka-shi

Japan — Three-span continuous 

structure

Matsubara

(274)

Sakata-Mirai footbridge, 

Sakata

Japan 2002 Post-tensioned box 

girder

Rebentrost (269)

Resplendino (275)

Tanaka(276)

Akakura Onsen

Yukemuri pedestrian bridge

Japan 2004 Prestressed U-shaped 

girder

Tanaka(276)

Yamagata Japan 2004 Box girder Rebentrost(269)

Tahara bridge Aichi Japan 2004 Box girder Rebentrost(269)

Horikoshi Highway C-ramp 

Fukuoka

Japan 2005 Composite I-girder Rebentrost(269)

Tanaka(276)

Keio University footbridge, 

Tokyo

Japan 2005 Pretensioned slab Rebentrost(269)

Tanaka(276)

Torisaka, River Highway 

bridge, Hokkaido

Japan 2006 Launching nose Rebentrost(269)

Toyota City Gymnasium

footbridge, Aichi

Japan 2007 Box girder Tanaka(276)
62

Name Country Year Application

Reference

(First Author)

Sankin-ike footbridge, 

Fukuoka

Japan 2007 Box girder Rebentrost(269)

Hikita pedestrian bridge, 

Tottori

Japan 2007 U-shaped girder Rebentrost(269)

Haneda Airport Runway D, 

Tokyo

Japan 2007 Precast, pretensioned 

slabs

Rebentrost(269)

Tanaka(276)

Mikaneike footbridge. 

Fukuoka

Japan 2007 U-shaped girder Musha

(277)

Kobe Sanda premium outlet 

footbridge

Japan 2008 U-shaped girder Tanaka(276)

Akasaka Yogenzaka 

footbridge

Japan 2009 U-shaped girder Tanaka(276)

Torisalogawa bridge Japan 2006 Box girder Tanaka(276)

Tokyo Monorail Japan 2007 U-girder upside down Tanaka(276)

GSE bridge Tokyo Airport Japan 2008 U-girders Tanaka(276)

Kampung Linsum bridge 

Rantau, Negeri Seremban

Malaysia — U-beam Lei(278)

Voo(150)

Sungai Muar bridge Malaysia — Curved saddles for 

cable stays

Resplendino(275)

Papatoetoe footbridge New 

Zealand

2005 Pi-beam Anon(279)

Five pedestrian bridges, 

Auckland

New 

Zealand

2006

to 

2007

Precast, post-tensioned 

Pi-girder

Rebentrost(269)

Anon(279)

Seonyu Sunyudo footbridge, 

Seoul (Peace Bridge)

South 

Korea

2002 Precast, post-tensioned 

pi-section

Rebentrost(269)

Resplendino(275)

Office pedestrian bridge South 

Korea

2009 Cable-stayed bridge Kim(9)

— Data are unknown.

The Shepherds Creek bridge in Australia is a single 49-ft (15-m)-span bridge with a 16-degree

skew.(269,271)The superstructure consists of sixteen 23.6-inch (600-mm)-deep precast, prestressed 

UHPC beams spaced at 51 inch (1.3 m) centers. These support 1-inch (25-mm)-thick precast 

UHPC panels and a 6.7-inch (170-mm)-thick CIP reinforced concrete deck.

Numerous bridges, as listed in table 16, have been constructed in Japan beginning with the 

Sakata-Mirai bridge in 2002.(269,276)(See figure 20.) This footbridge consists of pretensioned box 

girder segments that were post tensioned together to form a single span of 161 ft (49.2 m).
63

Most of the UHPC footbridges in Japan consist of precast segmental U-beams with a separate 

top slab that is integrally connected to the U-beam. The U-beam segments are connected 

longitudinally with a CIP joint and post tensioning.

The Horikoshi Highway C-Ramp bridge was Japan’s first highway bridge using UHPC.(276)The 

composite girder bridge is composed of four pretensioned UHPC I-shaped girders and a 

conventional CIP concrete deck. The use of UHPC in the girders allowed reduction of the 

number of girders from 11 to 4. The weight of each girder was less than it would have been with 

conventional concrete, allowing the use of a smaller crane. The overall weight of the bridge was 

reduced by 30 percent.

Source: Lafarge

Figure 20. Photo. Sakata-Mirai bridge, Sakata, Japan

The Toyota Gymnasium footbridge is a two-cell segmental box girder using match-cast segments 

and dry joints with epoxy. To overcome the shortening caused by autogenous shrinkage of the 

lead segment before casting the next segment, a steel plate was used at the end of the lead 

segment and becomes the end form for the new segment.(276)

The construction of Runway D at Tokyo’s Haneda International Airport used 9.8-inch 

(250-mm)-deep UHPC panels spanning between longitudinal steel girders above the Tamar 

River.(276)The panels consist of ribs supporting a slab with a minimum thickness of 3 inches 

(75 mm). This reduced the dead load of the slab by about 56 percent compared with conventional 

concrete. Approximately 6,900 panels were produced for this application.

The Sunyudo (Peace) footbridge in South Korea is an arch bridge with a main span of 394 ft 

(120 m).(275)(See figure 21.) It is built from six precast, post-tensioned pi-shaped sections 4.3 ft 

(1.30 m) deep. The upper flange is a ribbed slab 1.19 inches (30 mm) thick with transverse 

prestressing. The webs of the pi-shaped section are 6.35 inches (160 mm) thick and inclined 

outward at the bottom. The six precast sections are post tensioned together by tendons located in 

the upper and lower haunches of the section. This bridge is the longest span UHPC bridge in the 

world.
64

Source: Rualt Philippe

Figure 21. Photo. Footbridge of Peace, Seoul, South Korea

REALIZED AND POTENTIAL SECURITY APPLICATIONS

Significant research and development efforts have also occurred with regard to the potential 

security applications afforded by UHPC. Infrastructure security can be a critical consideration, 

thus leading to opportunities to use UHPC components either as barrier protection systems or as 

inherent portions of the critical infrastructure. A state-of-the-art report on fiber-reinforced UHPC 

with a focus on security applications was completed in 2010.(280)

Research on the mechanical properties of UHPC when subjected to high strain rate loading has 

been completed by Parent et al., Ngo et al., Millard et al., Habel and Gauvreau, and Millon et al.

(See references 281, 282, 283, 284, and 285.) Blast resistance testing has been reported by Wu et 

al., Ngo et al., and Rebentrost and Wight. (See references 286, 282, 287, and 288.) Penetration 

resistance tests have been reported by Rebentrost and Wight(287,288)and by Nöldgen et al.(289)

OTHER POTENTIAL APPLICATIONS

This section identifies other potential applications found during the literature search.

Almansour and Lounis compared the design of a prestressed concrete girder bridge using either 

UHPC or HPC in the girders.(290)The design of the UHPC bridge was based on a combination of 

the Canadian Highway Bridge Design Code (CHBDC) and the AFGC-IR-02.(291,4)The design of 

the HPC bridge was based only on the CHBDC. Both bridges had a span length of 147.6 ft 

(45 m). Five girders with a depth of 63 inches (1,600 mm) were required for the HPC bridge, and 

only four girders with a depth of either 35.4 inches (900 mm) or 47.2 inches (1200 mm) were 

required for the UHPC bridge. The 47.2-inch (1,200-mm)-deep girders represented a 

conservative design, whereas the shallower sections required more prestressing strands. An 

optimum solution would be a girder with a depth between 35 and 47 inches (900 and 1,200 mm).
65

The design of a pilot project for a 39-ft (12-m) span pedestrian bridge using composite steelconcrete construction was reported by Jungwith et al.(188)

Obata et al. examined the use of prefabricated UHPC panels 1.2 inches (30 mm) thick as an 

overlay for asphalt pavement.(292)The panels were bonded to the asphalt using a grout. About 

517 ft2(48 m2) of test pavement was constructed at a test track in Japan using different 

construction bonding procedures. No cracks were observed before load testing began. 

Delaminations occurred and increased with the number of wheel passes in some test sections. 

The authors concluded that early opening of the pavement to traffic is possible with the use of 

high-strength fast-curing grout.

Oesterlee et al. performed finite element analyses of a conceptual bridge girder using UHPC as 

an overlay material in place of a conventional waterproofing membrane.(293)The structural 

response under combined loading from restrained shrinkage and traffic loads showed stresses 

close to the elastic tensile strength of the UHPC overlay where there was a high degree of 

restraint. The risk of transverse cracking in the overlay was deemed unlikely.

Schafers and Seim described theoretical and experimental investigations into the composite 

behavior of UHPC decks on timber beams.(294)They conducted shear tests of the glued joint 

between the UHPC and timber to identify the best adhesives and timber surface preparation 

methods.

Using finite element modeling and experimental verification, Toutlemende et al. investigated the 

possible use of UHPC precast ribbed waffle slabs for a bridge deck.(175)The slabs were 

pretensioned in the transverse direction and then post tensioned longitudinally before being 

connected to the longitudinal steel girders. The test results were compared with analytical 

models.(295)

Vande Voort et al. explored the use of UHPC in H-shaped precast, prestressed concrete piles.(296) 

They used laboratory tests to verify moment-curvature response. Two piles were successfully 

driven into clay soils and tested under vertical and lateral loads. (See figure 22.) The impact 

resistance of UHPC for use in piles was investigated by Leonhardt et al.(127)
66

Source: Iowa State University

Figure 22. Photo. Experimental precast pile made of UHPC

Other potential applications that have been investigated are listed in table 17.

Table 17. Other potential applications of UHPC

Application

Reference

(First Author)

Drill bits for special foundation engineering Ibuk(297)

Sewer pipes Schmidt(298)

Precast spun columns and poles Adam(299), Müller(300)

Barrier walls Young(249)

Field-cast thin-bonded overlays Young(249), Sritharan(301), Shann(302), 

Schmidt(303), Scheffler(55)

Cable-stayed bridge superstructure Kim(9), Park(304)

Bridge bearings Hoffmann

(305)

Precast tunnel segments Randl(306)

Seismic retrofit of bridge columns Massicotte(307)
67

CHAPTER 7. FUTURE DIRECTION

This state-of-the-art report identifies the following four primary characteristics of UHPC that 

distinguish it from conventional concrete:

 Higher compressive strength.

 Higher tensile strength with ductility.

 Increased durability.

 Higher initial unit cost.

The compressive strength of UHPC makes it an ideal material for use in applications in which 

compressive stress is the predominant design factor. The ductility in tension allows the tensile 

strength of UHPC to be considered in both service and strength design for flexure, shear, and 

torsion. The durability of UHPC makes it an ideal material for use in an outdoor or severe 

exposure environment. The higher initial unit cost means that its use needs to be optimized for 

the intended application and that greater attention should be given to life-cycle costs. In addition, 

specifiers should consider all costs associated with the use of UHPC on a project, not just the 

material unit cost. In many cases, the use of UHPC may allow a redesign of the structure thus 

affecting many aspects of the total cost of deploying the structure. For example, the ability to 

omit shear reinforcement in a beam can result in a savings of both materials and labor that must 

be considered alongside the increased material costs. Nevertheless, a number of challenges must 

be overcome to achieve wide-scale implementation in the U.S. highway infrastructure. These are 

outlined in the following sections.

OWNER ISSUES

One of the primary advantages of UHPC to owners is its long-term durability. As discussed in 

chapter 5, the measured durability characteristics far exceed those of conventional concrete. 

These characteristics should result in structures with a longer service life compared with 

structures built with conventional concrete, and thus could potentially decreased life-cycle costs. 

No studies were identified for this report to show that this is the case. When owners began to 

consider the use of high-strength concrete in bridge beams, a clear case could be made that the 

initial cost would be less because the number of beams for a given bridge would be reduced. This 

may not be true with UHPC because the cost differential between conventional concrete and 

UHPC is much greater than it was between conventional concrete and high-strength concrete.

Studies are needed to illustrate the cost benefits of using UHPC for bridges in the United States. 

The number of demonstration projects in the United States is limited, with most occurring in 

only two States. For owners to obtain a reasonable level of comfort in using UHPC, more 

demonstration projects are needed, and the results need to be disseminated through a variety of 

channels. These include webinars, in-house seminars, technical symposia, and technical 

publications. Some of this activity has been ongoing for the past 10 years but more is needed. 

This is not just for owners but also for bridge designers, contractors, and producers.

There are, however, situations where UHPC can be used to address certain performance issues

without a major cost impact. One example is the use of UHPC to fill the connection regions 
68

between adjacent prefabricated elements. In this application, the overall cost increment in using 

UHPC is small because the quantity of material is small. The use of UHPC is reported to 

eliminate the cracking and leakage that occurs when conventional concretes or grouts are used. 

At the same time, the use of UHPC can enable the deployment of simplified connection details 

with shorter discrete reinforcement splice lengths and a reduced number of conflict points.

DESIGN ISSUES

The literature search identified the following national design and construction recommendations 

for UHPC:

 Design Guidelines for Ductal Prestressed Concrete Beams (Australia).

(210)

 Recommendations for Design and Construction of Ultra High Strength Fiber Reinforced 

Concrete Structures by the Japan Society of Civil Engineers.(8)

 Ultra High Performance Fibre-Reinforced Concretes, Interim Recommendations prepared 

by AFGC (French Association of Civil Engineers) and SETRA (French Road and Traffic 

Government Agency (SETRA-AFGC 2002).

(4)

These documents are generally based on the primary document used for bridge design in the 

individual country. Where sufficient information is not available to support a change or a change 

is not necessary for UHPC, the documents resort to the provisions of the primary document.

For UHPC to gain greater use in the U.S. highway infrastructure, a design and construction 

document based on the AASHTO LRFD Bridge Design Specifications and the AASHTO LRFD 

Bridge Construction Specifications is needed.(76,308)The lack of this document has led to the need 

to consider each project individually. In most cases, the design has been accepted based on 

structural tests rather than a rational design basis. A guide specification for construction with 

UHPC will help owners implement the technology.

Although more research is desirable, it is likely that sufficient information exists today to 

develop a document addressing the major aspects of structural design according to U.S. 

practices. These design aspects include material properties, flexural and axial load, tensile load, 

shear, transfer and development length of prestressing strand, approximate estimates of timedependent losses based on creep and shrinkage data, some aspects of reinforcement details, and 

durability. Where information is lacking, the document could use the provisions of the existing 

bridge specifications. This concept may not immediately result in the most economical design 

but will generally be conservative. Because several demonstration projects have been completed 

in the United States, there should be sufficient experience available to identify the necessary 

provisions in a construction guide specification.

For proper implementation of UHPC, new test procedures that address UHPC are needed for 

both development of mixes and quality control of the fresh and hardened UHPC. In most cases, 

these can be adaptations of existing test standards for conventional concrete but modified for the 
69

particular properties of UHPC. In addition, generic material specifications are needed to 

encourage the introduction of competitive materials.

PRODUCTION ISSUES

At the present time, very few producers have experience with UHPC for precast or cast-in-place 

applications. Information needs to be made available so that they are aware of the differences to 

expect with UHPC. For example, precasters need to be aware of the need for longer mixing times 

in conventional concrete mixers, longer set times, and modified curing regimes. Quality control 

tolerances need to be defined for the standard test methods. For example, the use of small-size 

cylinders for measurement of compressive strength needs to be established, along with the 

requirements for specimen preparation and testing machine capabilities.

RESEARCH NEEDS

The largest general design topic area where research is lacking concerns reinforcement details 

for nonprestressed reinforcement and prestressing strands. This includes development of and 

splice lengths of bars in tension and compression. Although the existing provisions for 

conventional concrete could be used, they do not take advantage of the enhanced tensile and 

compressive strengths of UHPC. A systematic investigation of strand spacing and strand cover is 

needed for 0.5-, 0.6-, and 0.7-inch (12.7-, 15.2-, and 17.8-mm)-diameter strands to determine 

whether decreased spacing can be used with UHPC.

Investigations into the use of and reliance upon fiber reinforcement in structural concrete 

members is also needed. Fiber type, geometry, volume, dispersion, and orientation can all affect 

the structural performance of the concrete member. Development of interrelated material 

proportioning methods, component fabrication methods, and structural design concepts are 

recommended.

U.S. Federal law requires compliance with Buy America provisions. Research is needed into the 

use of either domestically produced steel fibers and/or the use of non-steel fibers while still 

producing a UHPC-class material that affords appropriate characteristics.

SUMMARY OF NEEDS

To encourage greater implementation of UHPC in the highway infrastructure, the following 

activities and documents are needed in approximate order of priority:

 Studies showing the cost effectiveness of UHPC in various applications.

 Design and construction guide specifications for structures made with UHPC.

 Research to address some of the missing information needed in the structural design 

guidelines.

 Standard test methods and material specifications for UHPC.
70

 Production procedures for precast and cast-in-place construction.

 Broader geographic distribution of demonstration projects.

 Ongoing and greater distribution of technical information.

AASHTO and FHWA should consider the development of structural design and construction 

guidelines. This effort should include research to address some of the needed missing 

information. The current efforts to engage organizations such as the American Concrete Institute, 

the Precast/Prestressed Concrete Institute (PCI), and ASTM should be extended to AASHTO.(309)

PCI should work to develop production procedures for precast UHPC products. The National 

Ready Mixed Concrete Association should endeavor to address hurdles related to cast-in-place 

UHPC production, delivery, and casting. The involvement of the AASHTO Highway 

Subcommittee on Materials and ASTM Committees C09 on Concrete and Concrete Aggregates 

and C01 on Cement would facilitate the development of test methods and material specifications. 

The availability of funding to support these activities would accelerate the process.

The need for broader geographic distribution of demonstration projects should be addressed by 

FHWA in cooperation with the State departments of transportation.

Finally, and perhaps most important, owners need to be convinced that the use of UHPC is a 

good investment. Without that justification and the resulting demand, UHPC will remain a niche 

product.
71

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72

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HRDi-40/06-13(750)E Recycled

Recyclable

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