NAFL INST OF STANDARDS & TECH R.I.C.

A1 11 00992948

Culver, Charles/Survey results for fire TA435 .U58 V85;1976 C.I NBS-PUB-C 1976 NBS BUILDING SCIENCE SERIES

U.S. DEPARTMENT OF COMMERCE / National Bureau of Standards

Survey Results for

Fire Loads and Live Loads

in Office Buildings
NATIONAL BUREAU OF STANDARDS

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2 Located at Boulder, Colorado 80302.
Survey Results for Fire Loads and

Live Loads in Office Buildings

ATIUKAI. I,, , ,.,AU m 2 1976

I 'M C. "1-

Charles G. Culver

Center for Building Technology

Institute for Applied Technology

National Bureau of Standards

Washington, D.C. 20234

DATE DUE

Sponsored by

Public Buildings Service General Services Administration Washington, D.C. 20405 and

National Academy of Sciences Building Research Advisory Board

2100 Pennsylvania Avenue

Washington, D.C. 20418

GAYLORD PRINTED IN U.S.A.

U.S. DEPARTMENT OF COMMERCE, Elliot L. Richardson, Secretary

James A. Baker, III, Under Secretary

Dr. Betsy Ancker-Johnson, Assisfani Secretary for Science and Technology

NATIONAL BUREAU OF STANDARDS, Ernest Ambler, Aciing Director

Issued May 1976
Library of Congress Cataloging in Publication Data

Culver, Charles. Survey results for fire loads and live loads in office buildings. (NBS building science series ; 85) "Prepared by the Office of Housing and Building Technology, Center

for Building Technology, Institute for Applied Technology, National Bureau of Standards, Washington, D. C."

Bibliography: p. Supt.ofDocs.no.: C13.29/2:85

1. Office buildings—Fires and fire prevention. 2. Office buildings

Live loads. 3. Building Research—United States. I. National Research

Council. Building Research Advisory Board. II. Center for BuildingTechnology. Office of Housing and BuildingTechnology. III. Title. IV. Series: United States. National Bureau of Standards. Buildingscience series ; 85. TA435.U58 no. 85 (TH9445.041 690'.021s [690'5] 76-608115

National Bureau of Standards Building Science Series 85

Nat. Bur. Stand. (U.S.), Bldg. Sci. Ser. 85, 157 pages (May 1976) CODEN: BSSNBV

U.S. GOVERNMENT PRINTING OFFICE

WASHINGTON: 1976

For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. 20402 (Order by SD Catalog No. C13.29/2:85). Price $2.25 (Add 25 percent additional for other than U.S. mailing).
PREFACE

This report was prepared by the Office of Housing and Building Technology,

Center for Building Technology, Institute for Applied Technology, National

Bureau of Standards, Washington, D.C. under Subcontract No. BRAB 27-73-53

between the National Academy of Sciences and the National Bureau of

Standards. The data on fire loads and live loads presented herein were obtained from a survey of office buildings conducted by the National Bureau

of Standards during the period August 1974 through August 1975.

The program of which this work is a part is being sponsored by the Public

Buildings Service, General Services Administration, under contract between

GSA and the National Academy of Sciences.

iii
ABSTRACT

Fire load and live load data obtained from a survey of 23 office buildings

located in various regions throughout the United States are presented. The

survey design is described including the characteristics of the building

population used to select the sample. Data are presented on the magnitude

and distribution of the loads. Information is also included on the characteristics of office loads such as the type of items (furniture, equipment,

etc.) and their properties (material type, dimensions, exposure, etc.).

Statistical summaries of the data and a determination of the building and

occupancy characteristics affecting these loads are presented. The data do

not indicate any significant differences between the loads in private and

government buildings. Similarly, geographic location, building height, and

building age were not found to have a significant influence on load magnitude.

The use of the rooms surveyed, however, did affect load magnitude. A mathematical model developed from a regression analysis of the survey data

is presented for calculating fire loads and live loads in offices. The data

presented may be used to evaluate current requirements for design loads for

buildings.

Key words: Buildings; fire loads; load surveys; occupancy live loads;

structural engineering.

iv
SI CONVERSION UNITS

In recognition of the position of the U.S.A. as a signatory to the General

Conference of Weights and Measures, which gave official status to the

metric SI system of units in 1960, the author assists readers interested

in making use of the coherent system of SI units by giving conversion

factors applicable to U.S. units used in this paper.

Length

1 in = 0.0254* meter

1 ft - 0.3048* meter

Area

1 in^ = 6.4516* x 10"! meter^

1 ft = 0.09290 meter

Force

1 lb (Ibf) = 4.448 newton

Pressure, Stress

1 psf = 47.88 pascal

Thermal

1 Btu = 1.054 X 10^ joule

* Exactly

V

TABLE OF CONTENTS

Page

PREFACE iii

ABSTRACT iv

SI CONVERSION UNITS v

1. INTRODUCTION 1

2. SURVEY DESIGN 2

2.1 General 2 2.2 Survey Data 2 2.3 Sampl ing Plan 6 2.4 Data Collection and Processing 9

3. DATA ANALYSIS 15

3.1 General 15 3.2 Evaluation of Inventory Technique 16 3.3 Characteristics of Survey Sample . 49

3.4 Influence of Building Characteristics 56

3.5 Influence of Occupant Characteristics 61 3.6 Influence of Room Characteristics 77 3.7 General Results 97

3.8 Load Models 114

3.9 Evaluation of Load Models 117

4. SUMMARY AND CONCLUSIONS 125

5. RESEARCH RECOMMENDATIONS 127

6. ACKNOWLEDGMENTS 129

7. REFERENCES 130

8. APPENDIX - Structural Influence of Live Load Locations ... 132

vii

1. INTRODUCTION

In order to evaluate the effect of fires on buildings, it is necessary

to estimate the potential severity of such fires in addition to the fire

resistance of the construction. Tests have shown that there is a definite

relationship between the weight of the combustible contents or fire load

in a building and the resulting fire severity. The nature of the combustible contents is also important in connection with hazards such as rapid

flame spread and smoke generation. Similarly, live load or the weight of

all the contents is needed for the structural design of buildings. Requirements for minimum loads for use in design are based on data obtained from

load surveys.

Since construction practices evolve over the years and the nature of building

contents change, there is a continuing need to update load survey data to reflect current conditions. Recognizing this, the National Commission on Fire Prevention and Control recommended that: "...the fuel (fire) load

study sponsored by the General Services Administration and conducted by the

National Bureau of Standards be expanded to update the technical study of

occupancy fire loads." (1)* Similarly, researchers have pointed out the

need for appropriate survey data for use in connection with statistical studies

of load variability and the development of probabilistic design approaches (2).

In 1973, the General Services Administration (GSA), the National Academy

of Sciences (NAS), and the National Bureau of Standards (NBS) initiated a survey project to determine fire loads and live loads in office buildings.

The project represented a continuation of the load survey activities carried

out by NBS since 1928 (3,4).

One objective of the project was to identify the building characteristics

and occupancy characteristics which affect the magnitude of fire loads and

live loads in office buildings and develop mathematical models for predicting

future loads. Development of these mathematical models expressing the relationship between the factors and loads would facilitate establishing future

minimum design requirements and minimize the necessity for continued load

surveys. A second objective was to develop efficient, economic, reliable data

collection and data processing procedures applicable to a wide class of

buildings of differing occupancy type. This would permit the methodology

developed in the project for office buildings to be used for surveys of

occupancies such as hospitals, schools, etc.

This report summarizes the survey design, including selection of the survey

sample, and describes the type of data collected and the data processing

procedure. Data obtained from the survey of 23 office buildings are presented

along with results of the analysis identifying the influence of various factors

on load magnitude.

* Figures in parentheses refer to references listed in Chapter 7.

1
2. SURVEY DESIGN

2.1 General

A complete description of the considerations involved in planning the survey

was presented in an earlier report (5) and will, therefore, only be summarized

here. The objective of the project was to determine those factors which

affect the magnitudes of loads in buildings. Using the survey data, probabilistic models could then be developed to predict loads in buildings based

on these factors. Based on results from previous studies and consideration

of all the various factors which could affect load magnitude, the factors

discussed in Section 2.2 were selected.

It was necessary to limit the number of factors studied in order to obtain a reasonable sample size for the survey. Since considerable judgment was involved in selecting these factors, a two phase effort was planned. The

first phase was designed to identify the important factors in the list of

all factors initially judged to be potentially significant. The second phase

would then concentrate on these important factors. Prior to initiating the

first phase, the special survey techniques developed for this project were pretested in a pilot survey involving the NBS Administration Building.

Data obtained from the pilot survey and Phase I are included in this report.

Recommendations for additional types of analysis using this data and con- siderations involved in planning a second phase survey are presented in

Chapter 5. The scope of the second phase will be determined at a later date.

2.2 Survey Data

The factors selected for investigation in Phase I which may affect the

magnitude of fire and live loads in buildings included:

1 . Bui Iding location

2. Building height

3. Bui Iding age

4. Occupancy characteristics

5. Room use

6. Room size

The type of survey data collected is listed in Figure 1. This included

the above factors, information of interest to fire protection engineers

in connection with fire severity, and the magnitude and distribution of

fire and live loads.

The fire and live loads were limited to those resulting from the intended use of the building. This included furniture, equipment, and other items brought

in for the service of the occupants after construction of the building.

Data were obtained on the normal number of occupants but no information

on their weight was collected or included in computing the loads. Walls and

2
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full height partitions, including removable partitions affixed to the floor

and ceiling, doors, and windows were not considered for the case of live load

or fire load. Combustible finish materials, including paneling, paint, and

wallpaper for walls and full height partitions, ceiling and flooring finish

materials and trim such as wooden molding on walls, doors, and windows were

included only for fire loads. Loads due to partial height partitions used

to subdivide larger areas into work stations were included for both fire

and live loads.

The areas within the buildings for which loads were considered were restricted

to offices and related work areas. Corridors, lavatories, mechanical equipment facilities, elevators, etc. were not included, however, their locations were recorded. Similarly, basements (i.e. the portion of the building com- pletely below grade) were also not included. Although loads for these areas

are important, it was not feasible to include them in the scope of this project.

The pilot survey data were collected over a two-week period of time and the

Phase I data over a six-month period and no attempt was made to monitor the

change in load with time in a given area. Since the occupancy duration for

each area was recorded, however, it was possible to determine the influence

of this factor on the load magnitude. Data for the NBS Administration

Building could also be compared with data obtained in a survey conducted in

1967 (4). The data also permitted determining the effect of the age of the

building on the load magnitude.

Loads were determined for only some of the rooms in the surveyed buildings

in order to reduce the field survey effort and still include a large number

of buildings. It was assumed that probabilistic models developed from the

data could then be used to predict the loads in the unsurveyed rooms. Following this, studies of loads throughout the building could be made.

Horizontal and vertical correlations of loads and determination of loads

on entire floors, etc. would be possible. Sufficient data were obtained,

therefore, to permit extrapolating the results obtained from the surveyed

rooms to other areas of similar use within the buildings.

An inventory survey technique employing the collection of data on the physical

characteristics of the various room content items was used in this survey.

The data collected for each item included: type of item (desk, table, etc.);

the construction material (wood, metal, etc.); measured dimensions (length,

width, height). For irregular shaped items and irregular piles of paper

approximate dimensions were recorded. Weights for each item were then obtained

using "average" weights established from manufacturers data for items of

similar size and construction. This concept is illustrated in Figure 2 in

which the "average" weights are referred to as transfer functions. For small

miscellaneous items and equipment, the weight was estimated by the surveyor

in lieu of using transfer functions. These transfer functions were presented

in an earlier report (5). No direct weighing was used in the survey. This

inventory procedure was less time consuming than direct weighing and caused a minimum disruption of the normal business activities in the surveyed rooms.

In addition, the inventory procedure provided considerable information on

4
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the characteristics of office contents (material type, dimensions, com- bustibility, etc.) for use in connection with fire related studies. An evaluation of the accuracy for the weight of items obtained using this procedure is given in Section 3.2.

Only the proximity of items in the rooms with respect to the walls and

not their exact location was recorded. Studies indicated that this

procedure was satisfactory for determining the influence of fire load on structural components (5). Analysis of the influence of this procedure

in evaluating live load effects for design of the structural system is included in the Appendix.

2.3 Sampling Plan

The objective of the first phase of the program was to investigate the

influence of the building and occupancy factors discussed in Section 2.2

and identify the more important ones. Subdividing the current U.S. office

building population into smaller subpopulations grouped according to building height, age, etc., and sampling from each group would permit determining the mean values of the loads for the total population using a weighted

sum of the mean loads obtained for each subpopulation. These mean values

for each subpopulation could also be used for estimating values for future

building populations which are of primary interest for building code purposes

simply by changing the weighting factors.

Since a complete inventory of the U.S. office building population listing the

characteristics of interest in this study does not exist, available lists were used to select the buildings in the survey. A list of private buildings

obtained from the Building Owners and Managers Association (BOMA), an association of independent building owners, and a list of government buildings obtained

from the General Services Administration (GSA) were used. In addition to representing different occupancies, private and government, the BOMA and GSA

buildings represent two types of occupancy control. Whereas the GSA buildings

are completely controlled and involve occupancy by similar tenants, the BOMA

buildings are multi-tenant rental buildings with less control over tenant

usage of the building.

The height, age, and geographical distribution for these two populations are given in Tables 1 and 2. Originally, twenty private buildings and five

government buildings were randomly selected for survey from these lists using

the concept of a factorial experiment design (5). Three factors (geographic

location, height, age) each having four "levels" were involved. The four census regions for the U.S. were used for geographic location and five story

and five year increments were used for height and age. A one-fourth fraction

of a 4^ factorial experiment was used for the private building (7). Characteristics for the buildings selected were presented in an earlier report (5).

Unfortunately, considerable difficulty was encountered in securing survey

permission for randomly selected private buildings, and only twelve were obtained from the BOMA list. Although specific reasons were not given by

those refusing to participate, apprehension concerning disruption of the

normal business activities in the offices and the potential use of the survey

results may have accounted for their reluctance. Survey permission for additional private buildings was obtained by working through city building

6
TABLE 1 CHARACTERISTICS OF BOMA OFFICE BUILDING INVENTORY

Geographic Location*

Hpi nht Rrniin Age Group

( Years West

)

Northeast Northcentral South

1- 5 1 13 26 15

1- 5 6-10 1 18 1

7

9

1 1-20 7 14 21 9 >20 7 22 57 17

1- 5 1 5 9 8 6-10 6-10 3 8 10 7

1 1 -20 4 1

3

1 b 7 >20 8 69 54 49

1- 5 1 6 9 3 11-20 6-10 1 11 14 6 11-20 5 9 on 9 >20 21 102 54 41

1- 5 1 14 12 7 >20 6-10 2 9 7 7 11-20 2 9 7 8 >20 17 66 25 9

TOTALS 82 388 357 211

*Values listed represent number of buildings in each category.

Total number of office buildings available in BOMA inventory - 1,038.

7
TABLE 2 CHARACTERISTICS OF GSA OFFICE BUILDING INVENTORY

Geographic Location*

Height Group Age Group

(No. of Stories) (Years) Northeast Northcentral South West

1- 5 0 12 16 7 1- 5 6-10 4 10 25 17

1 1-20 0 12 27 7 >20 62 125 259 122

1- 5 0 5 4 0 6-10 6-10 3 1 8 8

1 1-20 2 4 10 3 >20 16 11 63 13

1- 5 1 0 1 1 11-20 6-10 1 c q 4 11-20 1 1 5 0 >20 10 11 8 5

1- 5 0 0 0 0 >20 6-10 2 3 0 1 11-20 0 0 0 0 >20 3 2 1 1

TOTALS 105 199 436 189

*Values listed represent number of buildings in each category obtained from

1974 GSA RICOS data file.

Total number of office buildings available in GSA inventory - 929.

8
officials. Due to difficulties in obtaining survey permission, only four

additional buildings were obtained giving a total of sixteen private buildings.

One additional government building was selected increasing the total number

of buildings, including the NBS Administration Building used for the pilot

survey, to twenty-three.

The characteristics of the buildings surveyed are given in Table 3 and

the geographic distribution is shown in Figure 3. The NBS Administration

Building used in the pilot survey is included in the list. The selection

procedure for each building is indicated. The random selection refers to buildings randomly selected from the GSA and BOMA lists. In some cases where permission could not be obtained for the first building selected from

a given group, a second or third alternate was randomly selected. These

are denoted as "Random (2)" or "Random (3)" to indicate that they were not

the first building chosen. The buildings not selected from the BOMA list

as well as the additional government building from the GSA list are denoted

as "Special." The height group, age group, and geographic locations are summarized in Table 4.

The list of buildings presented in Table 3 differs from that included in an earlier report (5). This is due to the difficulties with survey permission

noted previously. Some of the buildings in the original sample withdrew

their permission. Note that the building numbers in Table 3 are not sequential.

It was impractical to reassign sequential numbers to the buildings after a cancellation was received since this would have required adjustments to all

the data sheets. Building 27 was added to the original sample to increase

the number of rooms surveyed in this phase of the program to the desired

level of approximately 2,500. This affected the factorial experiment design

as indicated by the data in Table 4 and a one-fourth fraction was not achieved.

The effect of this on the analysis of the factors affecting load magnitude is discussed in Section 3.8.

A sampling plan was developed to select the rooms to be surveyed in the

buildings (5). The plan was developed to obtain information on the influ- ence of room use, occupancy characteristics, and room size on load magnitude.

After classifying all areas in the buildings in accordance with these factors,

the rooms in each group were randomly selected and surveyed. Data on these

factors for the buildings surveyed are included in Section 3.3. Since the

total number of rooms in all the buildings was less than originally estimated,

it was possible to increase the fifteen percent sampling rate initially

selected (5). Approximately twenty-five percent of the rooms in each building were surveyed except for Buildings 14, 24, and 27. A larger sampling rate was used for these buildings for reasons discussed in Section 3.3.

2.4. Data Collection and Processing

The data collected in the field surveys are described in an earlier report (5).

Complete documentation of the computer programs developed for processing these

data is also available (6).

The field survey operation involved two visits to each building. During the

first visit, information on the characteris'tics of the building and occupants

was collected. Floor plans were used to record data for all areas in the

building. This data was then used to select the specific offices to be sur- veyed in accordance with the established sampling plan. During the second

visit, detailed data were collected to obtain the fire loads and live loads

for these rooms.

9
TABLE 3 BUILDING CHARACTERISTICS OF SURVEY SAMPLE

Location Height

Bldg. Occupancy (No. of Age Method of

No.* Type Region State Stories) (Years) Selection

k-k-k

1 PA 5 13 Random (2)

2 North- NY 7 58 Random

3 East PA 21 68 Random

5 PA 25 23 Random (3)

7 lA 5 16 Random

8 North- IL 5 2 Special

9 Central WI 20 1

0

Random (2)

10 Private T 1 i L 23 1

6

Random

n OK 2 8 Random

12 South GA 10 73 Special

13 GA 10 5 Random (3) 14 OK 22 25 Special

1 7 WA 9 1

1

Random (3)

18 West AZ 17 13 Random (3)

19 111 A WA 49 5 Random

CA 5 63 Spec i a 1

21 North- PA 3 47 Random

22 East NY 44 7 Random

23 NorthGovernment Central IL 2 7 Random

24** South MD 12 11 25 GA 4 6 Random

26 West CO 2 3 Random

27 CA 18 6 Special

*Buil dings not numbered sequentially

**NBS Administration Building

***Random - Original random selection from BOMA and GSA lists

Random (2), (3) - Alternate random selection from BOMA and GSA lists

Special - Not randomly selected

10.

TABLE 4 HEIGHT AND AGE GROUPING

FOR BUILDINGS SURVEYED

A. Private Buildings

Height

(No. of

Stories)

Geographic Location

Northeast Northcentral South West

1 - 5 6 - 10 11-20

> 20

1 (III)

1 (IV)

0

2 (IV, IV)

2 (I, III)

0

1 (II)

1 (III)

1 (II)

2 (I, IV)

0

1 (IV)

1 (IV)

1 (III)

1 (III)

1 (I)

B. Government Buildings

Height

(No. of

Stories)

Geographic Location

Northeast Northcentral South West

1 - 5 6-10

11-20

> 20

1 (IV)

0

0

1 (II)

1 (II)

0

0

0

1 (II)

01*(III)

0

1 (III)

0

1 (II)

0

* NBS Administration Building

( ) Age Group

I - 1 - 5 years

II - 6-10 years

III - n - 20 years

IV - > 20 years

12
The major portion of the data was recorded on specially developed FOSDIC

(nim Optical S^canning D^evice for J[nput to C^omputers) data forms. These

forms facilitated data collection and expedited the processing effort

since they were automatically processed without additional coding or trans- cription. Microfilming these documents provided a permanent record of the

data.

All the survey data were collected by a professional engineering firm

working under the general supervision of NBS staff. Technicians with

a background in engineering or architecture performed the room surveys

under direct supervision of qualified engineers. Each surveyor was provided with detailed instructions for collecting the data (5) and advised

of the significance of the survey and the manner in which the data would

be used. A short summary version of these instructions was provided for use as a ready reference should questions arise during conduct of the survey.

The supervisors provided approximately a ten-hour instruction period for

each surveyor to demonstrate the survey procedure and then answered questions

arising during conduct of the survey. Minimal supervision and field checking

of the data collection forms were required following this initial training. An average time of less than one man-hour was required to survey each room. This was less than half the time required in a previous survey in which the room contents were weighed (4). One man was required for these room surveys

as opposed to the four man survey team required to perform the weighing. No special equipment was required and the only disturbance of the occupants of

the room involved opening drawers to ascertain the nature and weight of the

contents. The only information obtained from the occupants was the number

of individuals normally occupying the room.

Special steps were taken to validate and check the data prior to analysis.

A one percent validation sample was randomly selected from the total list

of rooms surveyed in all the buildings. Following the survey, NBS staff

contacted the occupants of these rooms by phone to verify that the survey

had been conducted in accordance with the established procedure. In addition,

the actual data collected for the room were checked with the occupant to insure that it had been properly recorded. Satisfactory verification was obtained for the survey procedures used and the data collected.

A special purpose computer program was written to check the data. The program

was used to detect mechanical errors resulting from automatic processing of

the data collection forms and verify that all the required data were collected

for each item of furniture, equipment, etc. The program also checked the

data against specified tolerance limits to insure that the data were recorded

properly, e.g. furniture item dimensions were compared with the dimensions

of the room to check compatibility, etc. All data errors detected by the

computer were flagged and recorded. Minor errors such as the omission of one piece of information for an item were corrected by the computer program

using pre-programmed values (6). When errors occurred in significant data

such as room dimensions, all the information for that room was discarded

13
prior to analysis. The errors which occurred were either oversights in

which some information for a particular item was not recorded or the dimensions were incorrectly marked on the form. The majority of errors were incorrectly recorded dimensions. There was no apparent trend to these errors, i.e. they did not seem to be related to room use, building height,

building age, etc. There were no errors due to misinterpretation of the

survey instructions. Of the 2,433 rooms selected, 207 or 8.5 percent were discarded due to errors in significant data.

Initial data processing was done using the digital computer facilities at

the National Bureau of Standards and the FOSDIC equipment of the Bureau of

the Census. Data reduction and data analysis were performed by the J. H. Wiggins Company under direction and supervision of NBS professional staff.

A permanent record of all the original field survey data was retained on microfilm. This information will be available for continuing studies and

analyses

.

14
3. DATA ANALYSIS

3.1 General

The analysis included in this report represents only a first step in utilization of the survey data. It is anticipated that the data base

obtained in this survey will be used by GSA, NBS, and others in a variety of

continuing studies of the loads in buildings. In addition to routine

analysis, parameter studies could be carried out, e.g. the impact of changes

in office furnishings on fire loads in the buildings surveyed could be

determined by modifying the survey data. Such studies will improve our understanding of loads in buildings and facilitate the design of safe

economical structures.

The following types of data analysis are included in this chapter:

(1) Evaluation of the inventory survey technique

(2) Determination of the factors affecting load magnitudes

(3) General data analysis

(4) Development and evaluation of mathematical models for

predicting loads

Data obtained from the pilot survey of the NBS Administration Building are compared with direct weight measurements in Section 3.2. The characteristics of the survey sample are given in Section 3.3. The influence of

building characteristics, occupant characteristics, and room characteristics

on load magnitudes is discussed in Sections 3.4, 3.5, and 3.6. General

results illustrating the variety of analyses possible using the survey data are included in Section 3.7. Section 3.8 includes results obtained from a regression analysis of the survey data relating load magnitudes and the

parameters identified in this survey which affect loads in office buildings.

An evaluation of the use of these load models to predict loads in buildings

is presented in Section 3.9.

In computing the live loads presented in subsequent sections of this chapter,

the weights of furniture, equipment, and their contents were included. The

weight of the occupants of the room was not included. The weight of full

height partitions was not included. The weight of partial height partitions

used to subdivide large areas into work stations was included. Fire loads

include the weight of combustible room contents plus the weight of combustible

finish materials for walls, ceilings, and floors. In some cases, these two components of the total fire load are presented separately and referred to as "movable contents" (furniture, equipment, etc.) and "interior finish" (walls,

ceilings, etc.). The fire loads in this report represent the total weight

of combustibles and were obtained by converting the item weights to equivalent weights of combustibles having a calorific value of 8000 Btu/lb.

The conversion factors used were presented in a previous report (5).

Derated fire loads can be computed from the data. In computing these derated

fire loads, the weights for enclosed combustibles such as paper in metal

filing cabinets can be adjusted using a derating factor or an estimate of

the amount of the material which will burn in a fire (17).

15
3.2 Evaluation of Inventory Technique

Since the survey technique adopted for this project has not been used

previously in a major survey, it was necessary to determine how well the

values obtained for the total load in a room compare with those obtained

by direct weighing. Room loads obtained using the inventory technique

will differ from measured loads for two reasons. First, the numerical

values in the transfer functions used to convert the inventory data to weight represent mean values for the item groups. Thus, unless the weight

of each item in a given room equals the mean weight for that item group,

the weights will differ. Second, the survey technique requires some estimation on the part of the surveyor, e.g. weight estimation for miscellaneous

items and approximation of "average" sizes and the height of irregular piles

for paper and books for use in the transfer functions. These same kinds of

approximations occurred in the Bryson and Gross (4) and Mitchell (8) surveys.

Although they obtained "exact" values for the total load in a room, the

weight of the contents of drawers, etc. were estimated. Whereas, the approximations in this survey affect both the fire load and live load, approximations

in the surveys involving direct weighing affect only fire loads.

The NBS Administration Building was selected to evaluate the inventory technique. This building was chosen for convenience and also because weighing

operations could be scheduled to provide minimum disruption of the normal

business activities. One hundred and fifty-nine rooms were surveyed in the

building. Fourteen of these rooms were randomly selected and, following

the inventory survey, a follow-up survey involving weighing of all the room contents was conducted. These 14 rooms were either general or clerical

offices. These same rooms were also resurveyed several times by different

surveyors using the inventory technique to establish the variability between

surveyors. The weighing was conducted immediately following the inventory

survey to insure that the room contents were the same for both surveys. This

weighing was done with the same equipment used in the survey of the building

carried out i n 1 967 (4)

A comparison of results obtained for the two surveys is given in Table 5. The

floor number and room number given correspond to the identification scheme

used in conducting the survey. The numbers in parentheses correspond to the room numbers assigned by the tenant. For the 14 rooms, there are 50 inventory

surveys by seven surveyors. Each room was surveyed at least three times by

three different surveyors. The total weight obtained from the weighing survey

and inventory weights obtained by the various surveyors are given for each

room. The percent difference between these values and between the measured

weight and the mean of the weight obtained by the surveyors for a given room

are also given. Note that the inventory weights for the various surveyors in

any one room are not exactly the same. Also for Room 527 (Floor 6, Room 24),

Surveyor 002 surveyed this room twice and obtained two slightly different

values. Before comparing the measured and inventory weights, it is of interest

to look at the reasons for these differences.

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22
A detailed breakdown of the inventory weight data is given in Table 6. The

contribution to the total inventory weight is given for: the furniture and

equipment (obtained from the transfer functions); the weight of paper and

books (also obtained from transfer functions); and the weight of miscellaneous

items which were estimated by the surveyors. The standard deviation for the

total inventory weight obtained by combining the standard deviations associated

with the transfer functions for each item of furniture and equipment (5) is also given.

The estimated weights for the various surveyors in a given room vary con- siderably. In some cases the differences were greater than 100 percent.

This is to be expected since the surveyors were not given any special training

in estimating weights. The contribution of these estimated weights to the

total weight in the room, however, is very small; in most cases, five percent

or less. Extensive training of the surveyors in estimating item weights

would, therefore, not significantly improve the accuracy of the survey technique.

The weight of paper and books in these offices contributed substantially to the total weight. This contribution ranged from approximately twenty percent

to as high as sixty-eight percent. Since it was necessary to select average

sizes for a given pile of paper or books and the height of disorganized piles or stacks had to be estimated, the surveyors obtained different weights. As noted previously, estimation errors of this type also occur in surveys using

direct weighing unless the furniture items and contents are weighed separately.

Differences also occurred in the various surveyor weights from the transfer

functions. Although the item groups used in the transfer functions are not extremely sensitive to the measured dimensions of the item, differences did occur. For example, in Room 527, Surveyor 002 obtained slightly different

values of weight from the transfer functions for the two times he surveyed

the room. In addition, errors occurred in correctly identifying a particular

furniture item or in recording the data and account for the variation among

surveyors

These results are understandable and do not indicate any serious difficulties

with the inventory survey technique. Referring to Table 5, the percent

difference between the inventory weights and measured weights is reasonable

in most cases. For three of the rooms (Rooms 305, 423, 526), however, the

percent difference was large. A detailed review of these rooms indicated

that they were similar to the other rooms surveyed with respect to the type

of contents. It was also not possible to attribute these differences to the

survey procedure (time of day, day of the week, etc.). Studies of the data

indicated that the differences were due to surveyor error. Data for Room 423

in Table 7 illustrate this. Note that the total inventory weight for each

surveyor consists of the sum of the item weights, the content weight, and the

weight of the miscellaneous items in Table 7. In some cases measurement errors occurred, in others errors in identification of furniture items occurred or data were not recorded.

In order to minimize the chances of including erroneous survey data in the

results, data from the twenty-three buildings were checked prior to analysis.

Obviously, detailed checking similar to that discussed was not feasible. Certain

logic type checks were made, however, during the data processing and some data

discarded.

23
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Variability between surveyors and errors of the type noted are to be

expected in a survey of this type. Referring to Table 5 and comparing the

percent difference between the measured weight for each room with the mean value of the inventory weight obtained by the various surveyors for that room column (1) versus column (3) , the average of the absolute values of

the percent difference is seven percent. The same comparison excluding the

three rooms with obvious data errors gives two percent. Although these

differences are small, it is of interest to investigate the significance

of the errors, and in particular their effect on live load variability.

The live load data obtained for these 14 rooms were analyzed to evaluate:

(a) surveyor errors and biases, if any, and (b) any evidence of systematic

errors in the inventory procedure. The analysis has four sections:

(1) preliminary analysis of surveyor bias, (2) estimate of variance of

inventory weight, (3) evaluation of systematic errors, and (4) uncertainties

for live load expressed in pounds per square foot.

(?) Poii,lbl& SuAv&yon. B^oa o^l Room-by-SuAv^yofi JntzAaction

The intercomparison of inventory results by different surveyors was done

taking into account the fact that not all surveyors surveyed each room.

The inventory weights were displayed in an array by room and surveyor

(Table 8). To evaluate any systematic differences between surveyors (adjusted

for differences between rooms), a weighted two-way analysis of variance was performed. Numerican values presented herein were obtained from the OMNITAB

computer program. The results are summarized in Table 9. The differences

among rooms are, as expected, statistically significant as indicated by the

f ratio in Table 9. The differences among surveyors are not significant.

On the basis of an analysis of variance, "computed values" are obtained for

comparison with the observed data. They are computed from the estimated

average room weight (grand mean in Table 9) plus the appropriate row (room)

and column (surveyor) adjustments given in the lower part of Table 9. The

differences between observed and computed values, the residuals, are an aid

to interpreting the results. "Standardized residuals" are residuals divided

by their respective standard deviations.

The standardized residuals shown in Table 10 were examined for any evidence

of room-by-surveyor interaction, i.e. to detect effects of any room-plussurveyor combinations. No such evidence could be seen. Two of the residuals

of largest magnitude (exceeding two times their estimated standard deviations) were associated with surveyor number 4 (column 5 in Table 10). Repeating the

analysis with surveyor number 4 omitted reduced the residual standard deviation

from 233 lbs. to 217 lbs., but the results are qualitatively the same. Surveyor

number 4 was not excluded from later analyses.

Large residuals in Table 10 also seem to be associated with Room 419 and 422

(rows 8 and 9). Comparison of the inventory forms prepared by different

surveyors for these two rooms may help to identify some of the reasons for

discrepancies between surveyors.

26
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27
TABLE 9 SUMMARY OF WEIGHTED TWO-WAY ANALYSIS OF VARIANCE FOR INVENTORY WEIGHTS

Analysis of Variance for Two-Way 14 x 7 Table

Effect Source D.F. Sum of Squares Mean Squares F Ratio F. Prob.

Between Rows 13 28835119. 2218086.1 40.936 .000 Rows Between Cols 6 1123546.2 187257.71

(Rooms) Residuals 29 1571353.8 54184.613

Total 48 31530023.

Between Rows 13 29704043. 2284926.3

Col umn Between Cols 6 254623.35 42437.225 .783 .590

(Surveyors

)

Residuals 29 1571353.8 54184.613

Total 48 31530023.

A Weighted Least Squares Analysis Using

49 Non-Zero Weights and 49 Zero Weights in Column 1

Coefficient Estimate Stc . Dev.

Grand Mean 2657. 5793 46. 330293

Row 1 -1130. 2603 131

.

26906

Row 2 -453 58364 131. 26906

Row 3 -721 59364 131. 26906

Row 4 1070 3522 132. 85232

Row 5 -123 20998 143. 27476

Row 6 -114 92697 131

.

26906

Row 7 1091 4064 131. 26906

Row 8 501 38036 118. 29704

Row 9 289 64425 118. 13360

Row 10 -669 10575 118. 13361

Row 11 1130 9404 111. 55496

Row 12 -1072 6907 122. 87425

Row 13 -465 94654 116. 27035

Row 14 667 60397 121. 96944

Column 1 -144 04410 119. 51660

Col umn 2 63 349267 70. 078650

Column 3 -32 680910 73. 605892

Column 4 28 295895 163. 82179

Col umn 5 61 481534 92. 964220

Column 6 -93 625355 94. 174560

Col umn 7 117 22367 173. 04572

Residual 232 77589

28
29
The analyses summarized in Tables 8 through 10 were repeated for the two inventory subtotals - estimated weight and weight of paper and books - and

for the percent difference between inventory and measured weights (column 6 in Table 5). The tables are not included here since examination of the

results revealed nothing more than has been discussed for the case of inventory weights.

On the basis of these two-way analyses of variance, it appears to be satisfactory to proceed to further analyses in which the identities of the surveyors

are ignored. That is, the three or more surveyors who did each room are treated as if they were a random sample of the set of surveyors. Differences

among surveyors are interpreted as the result of a general tendency to make

some errors, since there was no evidence that any surveyor erred consistently

in such a way as to over- or underestimate the inventory weight.

(2) E^tmatt ofi VoAAJxnct Inv&.ntoA.y W^ght

Variability from surveyor to surveyor in the results of the inventory procedure

occurs because surveyors do not exactly agree on "estimated weights" and on descriptions and dimensional measurements recorded for furniture, equipment,

and paper and books. For a given room, with fixed contents, this kind of

variability will be called "surveyor error." The variance due to surveyor error

is estimated from the results of repeated surveying [Section (2.2)].

An additional source of variability in the results of the inventory procedure

is the difference between actual weights and weights calculated from the

"transfer functions." The pilot survey provides very little direct data for

estimating this component of variance, since the sample of rooms is small and

most of the furniture is standard Government-issue.

For a fixed room, the differences between actual and inventory weights of

furniture items are fixed, of course (except for "surveyor error"); they

acquire the character of random variation only when a set of rooms is sampled

from a larger population. The inventory procedure does, however, provide a computed standard deviation based on the standard deviations associated with

the transfer functions [column (2) in Table 6]. This is the best available

measure of the contribution of this source of variability to the overall

uncertainty of the inventory procedure [Section (2.3)].

Paper and books make up a substantial fraction of the total live load. A special analysis of the surveyor-to-surveyor variability was done for this

subtotal of the inventory weight [Section (2.4)].

The results of the studies of variance components are summarized and a combined

estimate of the total uncertainty of the inventory procedure is given in

Section (2.5).

First, in Section (2.1), the general ideas for the evaluation of variance

estimates are discussed.

30
(2.1) Relation of Variability to Room Weight

Variability of inventory weights might be expected to depend to some degree

on the magnitude of the live load in a room. For each of the variance components,

three alternative forms of this relationship are compared:

(1) constant variance,

(2) variance proportional to total weight (roughly equivalent

to variance proportional to number of items inventoried),

(3) variance proportional to squared total weight (i.e., standard

deviation proportional to total weight; constant relative

standard deviation).

Let s. denote the standard deviation (square root of variance) for the j-th

room,"^and let M. denote an appropriate measure of the total weight in the room. According to the three possibilities listed above, one

of the following quantities would appear to be reasonably constant from room to room:

(1) Sj

(2) / V"^

(3) s. /Mj

Since the number of surveyors is small for each room (3, 4, or 5), one would

expect to see a lot of sampling variability between rooms. (Sampling variability is more pronounced for standard deviations than it is for averages.)

To assess this sampling variability, the values of each of the three measures

of variability were tested for homogeneity.

Two tests for homogeneity of variance were used, Bartlett's and Cochran's.

Notation

t- = one of the three quantities above, for j-th room

3 n. = number of surveyors, for j-th room

J N = znj

k = number of rooms

Sp = z(n. - 1) t^ / (N - k)

Bartlett: M = (N - k)^n Sp - lin. - l)£n t^.

2 2 Cochran: C = largest t^ / Etj

j

31
The test of significance for Bartlett's M is described in Reference 9 (page 309). Cochran's test (Reference 9, page 310) can only be used when

all the nj are equal. This test was done for two subsets of the rooms -

7 rooms for which n^ = 3 and 6 rooms for which n^ = 4.

The critical values for the tests of homogeneity, which must be exceeded by

the test statistics for rejection of the null hypothesis of homogeneity at

the specified probability levels are:

Probability .05 . .01

Cochran's C (7 samples of 3) .5612 .6644

(6 samples of 4) .5321 .6258

Bartlett's M 25.6 31 .5

To aid in interpretation of the formal tests of significance, the variance

2 measures t. were also shown on probability plots. If the values of t. are different only because of sampling variability, then the values ordered from

smallest to largest can be compared to percent-points of the chi-squared

distribution. The probability plots were done in pairs, first for the seven

rooms with n. = 3, and second for the six rooms with n. = 4 (actually for

J J seven rooms, since the room with "^j " 5 was included in this set for plotting).

In order that horizontal and vertical scales be the same in all the probability

2 2 plots, the values of tj were divided by the appropriate pooled measure Sp, and

the percent points of the chi-squared distribution were divided by the value

of degrees-of-freedom v = (n . - 1 ) , 2, or 3. The plotting positions for the

2

J 2 ordered values of t^ were the percent points of x corresponding to probabilities j / (N + 1), i.e. Vg, . . . , '^/g .

2 Percent Points of x / V i

^ ^

1 .13 .23

2 .29 .40

3 .47 .59

4 .69 .79

5 .99 1.04

6 1.51 1.38

7 2.13 1.95

32
Note that the tests for homogeneity of variance, and the probability plots are approximate to the extent that the data are not exactly normally

distributed.

(2.2) Variability Due to Surveyor Error

For each room, the sample variance calculated from the several inventory

weight values is an estimate of the variance due to surveyor error. The

calculated standard deviations are shown in Table 11. The measured weight

for each room is used as the measure of the total weight in the j-th

room. Table 11 also shows the standard deviation s. divided by VM . and

J J Sj / (the latter multiplied by 100 to be read as a percent.)

To facilitate examination of the effect of M^, the rooms are listed in Table 11 in order of increasing values of M^. Although there is a great

deal of sampling variability, the larger values of s^ do appear to be asso- ciated with the larger values of M^. The coefficient of variation appears

to be the most appropriate measure of variability for surveyor error. The

results of the tests for homogeneity of variance are not perfectly clear-cut

in Table 11. The Bartlett statistic and one of the Cochran statistics have

their smallest values for the coefficient of variation. The tests of significance indicate that the surveyor error variability may not be the same for

all rooms. (All values of M and one value of C are "significant" at the .01 probability level.) This might be interpreted to mean that surveyor errors

are occasionally larger than those predicted by normal distribution theory.

The pooled estimate, coefficient of variation for surveyor error of

8.33 percent, is valid without depending on normal distribution theory. But

note that "two-sigma" types of multiples of this estimate must be interpreted

with caution.

(2.3) Variability Due to Transfer Functions

For each surveyor, the inventory procedure produced a standard deviation

[column (2) in Table 6] computed from the standard deviations associated with

the transfer functions. The average of the squares of these standard deviations is an estimate of the variance due to use of transfer functions for

each room. The corresponding standard deviations are given in Table 12.

Each of the three variability measures s., s. / and s. / M. gives values

well within the range expected due to sampling variability. (No "significant"

test statistics.) The values of the test statistics seem to suggest that the

transfer function variance is constant instead of depending on the total

weight of room contents; this is a surprising result. Because other variabilities seem to be best described by the coefficient of variation, and since

the assumption of constant coefficient of variation is not rejected by the

significance tests, the coefficient of variation is suggested as a measure

of transfer function variability.

33
TABLE 11 STANDARD DEVIATIONS FOR SURVEYOR ERROR

KUUill No.

Measured

M.

J

Standard

ucv . ^ 1 u y S . J

s . J v/TT

^ J

Coeff

.

co - _±

M

J

of Var.

X 100

JH 1 51 H 9Rc o

1 JUO L. JO U . 1 J 7ft / o

4 £ O i HO ^ 79 q ^R0 J

CO 1 1 y JO 1 0 77/ /

OU J L uoo / u 1 JJ 'X0 ou

91£ 1 HO 1 9n 9 RQ J RQo^

\>C t

1 9^ 9 fifi co fi7 0 /

0 1 J 1 u . O 1 fin ou

A9n 7 fi? / . DO 1 0 OD

419 3129 407 7.28 13 01

634 3354 281 4.85 8 38

523 3597 67

239 3774 147 2.39 3 90

321 3840 299 4.83 7 79

: Pooled (v-2)

Pooled (v=3)

164

277

3.29

5.13

792574

Pooled (all) 225 4.23 8 33

Cochran (n=3)

Cochran {n=4)

.4770

.3823

4953

,3686

Bartlett 39.2929 34.1754

Note: Rooms are listed in order of increasing measured weight

.6762

.3374

32.4512

34
TABLE 12 STANDARD DEVIATIONS FOR TRANSFER FUNCTION ERROR

Room

No.

Measured

Wt. (lb)

M.

J

Standard

Dev. (lb)

s

.

J

s . J

^ J

Coeff. of Var. ^ X 100

"j

526 1271 86 2.41 6.77

224 1508 123 3.17 8.16

423 1583 101 2.54 6.38

231 1953 73 1.65 3.74

305 2083 106 2.32 5.09

228 2148 134 2.89 6.24

527 2203 77 1.64 3.50

313 2645 100 1.94 3.78

422 3031 103 1.87 3.40

419 3129 101 1.81 3.23

634 3354 78 1.35 2.33

523 3597 no 1 .83 3.06

239 3774 114 1.86 3.02

321 3840 96 1 .55 2.50

P

P ooled (v=2)ooled (v=3)

108

no 2.27

1 . yo

5.00

4 . DO

Pooled (all) 100 2.08 4.61

Cochran (n=3)

Cochran (n=4)

.2193

.2104

.2776

.2739

.3802

.3631

Bartlett 1.9077 3.9557 10.6749

35
The pooled estimate, coefficient of variation for transfer function error,

is 4.61 percent.

(2.4) Surveyor and Transfer Function Error, Paper and Books

For the weight of paper and books, differences between surveyors led to the

standard deviations shown in Table 13. In this table, rooms are listed in

order of increasing value of the average inventory weight subtotal for

paper and books.

In this case, the tests for homogeneity of variance reject the assumption

that the variance is constant. The coefficient of variation is again

suggested as the appropriate measure of variability.

The pooled estimate, coefficient of variation for surveyor error (paper and

books only), is 13.90 percent.

This separate analysis of the surveyor error for paper and books has been

done because paper and books are a substantial fraction of total weight.

Also, the standard deviations shown in Table 13 are substantial parts of

the corresponding standard deviations in Table 11. In fact, for 4 of the

14 rooms, the standard deviation for paper and books is larger than the

standard deviation for surveyor error for the total inventory weight. That

is, the numbers in column (4) of Table 6 are more variable than those in

column (1). See, for example, room 228. The errors in paper and book

recording were offset by opposite errors in other parts of the inventory

procedure for these rooms.

The transfer functions (Reference 5, Table 13) are accompanied by standard

deviations: the indicated values are roughly equal to 10 percent of the

weight (lb per inch) established for each size class. The computed standard

deviation for a pile of paper or books is defined in Section 4.2.2.2.2 of

Reference 6. The computation allows for errors up to one-half unit in the

last figure recorded by the surveyor for the height of the pile and makes

a similar allowance for round-off of the estimated compaction factors. The

effect of the weight standard deviation is assumed to be proportional to the

height of the pile. The transfer function error can be thought of as reflecting (i) variations in the weight of paper and binding materials and

(ii) deviations from the exact volume imputed to the recorded quantity

(inches) of paper in a particular size class. Surveyor error includes (iii)

dimensional measurement errors leading to different size classes as well as to variability in the number of inches within a size class and (iv) errors

due to the approximation embodied in the compaction factor. The transfer

function and its associated standard deviation were based in part on experimental weighings. Thus, the question arises whether any surveyor error is

being "double-counted." Considering the four sources of errors described

above, it seems the overlap is very small if there is any at all.

The piles of paper and books were not weighed separately so bias associated

with this part of the inventory procedure cannot be assessed separately.

36
TABLE 13 STANDARD DEVIATIONS FOR SURVEYOR ERROR

(PAPER AND BOOKS ONLY)

Room

No.

Measured

Wt. (lb) M . J

Standard

Dev. (lb)

s . J

t—

v/sCoeff. of Var.

X 100

M.

J 526 233 36 2.36 15.45

224 313 69 3.90 22.04

231 406 28 1 .39 6.90

305 436 88 4.21 20.18

228 649 150 5.89 23.11

423 649 43 1 .69 6.63

313 836 40 1 .38 4.78

419 867 112 3.80 12.92

527 875 103 3.48 11 .77

523 1029 72 2.24 7.00

634 1133 159 4.72 14.03

239 1331 60 1 .64 4.51

422 1476 254 6.61 17.21

321 2352 366 7.55 15.56

Pooled (v=2)

Pooled (v=3)

1 58

139

4. 33

4.10

1 5.86

13.42

Pooled (all) 141 4.03 13.90

Cochran (n=3)

Cochran (n=4)

.7657

. 5557

.4343

.4327

.3034

.2739

Bartlett 35.4721 18.5182 15.1760

Note: Rooms are listed in order of increasing average inventory weight

subtotal for paper and books.

37
(2.5) Summary

The variance for the inventory weight of a room, including both surveyor

variability and transfer function errors, is estimated by the sum of the two variance components. The room-by-room estimates are shown in Table 14 as standard deviations (square root of the sum of squares of corresponding

standard deviations in Tables 11 and 12).

The coefficient of variation is, as expected from the previous results,

found to be the appropriate measure of variability. See Figures 4 to 9 in addition to the test statistics in Table 14.

The pooled estimate can be calculated in two ways. First, there is the

value 9.52 percent shown in Table 14. Alternatively, one can calculate the

square root of the sum of squares of the pooled estimates from Tables 11 and 12; this value is 9.52 percent also.

Rounding off, we find the standard deviation of the inventory procedure is 10 percent of the inventory weight. This is a measure of the variance about

the average for surveyors and the assigned values in the transfer functions;

it does not include the effect of biases in either of them, discussed in

the next section. Conventional probability statements associated with multipl

of the estimated standard deviation should be interpreted with caution since

there is evidence (Figures 4 through 9) that the inventory weight data are

not normally distributed. (That is, the measurement errors in repeated

inventorying of the same room may not be normally distributed.)

(3) EvaJLuuoution oi Syi>tmcLtia Efinon. In lnvQyvton.y VfiocddoMO,

There are two possible sources of systematic error in the inventory procedure:

the transfer functions and surveyor bias. The two kinds cannot be separated

from each other in the data available here.

It was found in Section (1) above that none of the surveyors seemed to be

biased with respect to the others in the group. The remaining possibility

is that surveyors as a group are biased, i.e. that the average of repeated

inventorying of a fixed room by many surveyors would be different from the

measured weight for reasons other than transfer function error (general

tendency to under- or overestimate dimensions, for example, or tendency to omit items).

The inventory data for any one of the 14 rooms in this survey are "correlated"

with respect to estimating systematic error since the same transfer function error is present for each surveyor. We have, however, 14 room-averages of

inventory weights. These are shown in Table 15 along with percent differences

from measured weight. Notice that half the differences are positive and half

negative.

Notice also that the large percent differences are not associated with rooms

in which there were large differences among surveyors. In fact, two of

the three largest surveyor-error variance estimates were obtained in rooms 224 and 419 which have the smallest (in magnitude) percent differences.

(Compare with Table 11.)

38
TABLE 14 STANDARD DEVIATIONS FOR INVENTORY TECHNIQUE

(SURVEYOR AND TRANSFER FUNCTION ERRORS COMBINED)

Room

NO

.

Measured

Wt. (lb)

Mn . J

Standard

Dev. (lb)

s

.

J VMj

Coeff. of Var.

s . —^ X 1 00

M.

J 526 1271 101 2.83 7.95

224 1508 268 6.90 17.77

423 1583 179 4.50 11.31

231 1953 74 1.67 3.79

305 2083 127 2.78 6.10

228 2148 180 3.88 8.38

527 2203 147 3.13 6.67

313 2645 101 1.96 3.82

422 3031 433 7.86 14.29

419 3129 420 7.51 13.42

634 3354 291 5.02 8.68

523 3597 172 2.87 4.78

239 3774 186 3.03 4.93

321 3840 314 5.07 8.18

Pooled (v=2)

Pooled (v=3)

196

292

4.00

5.50

8.81

10.76

Pooled (all) 247 4.72 9.52

Cochran (n=3)

Cochran (n=4)

.3662

.3659

.4254

.3407

.5813

.2936

Bartlett 17.9052 . 14.0681 14.1362

39
— c c

I I I I I 1 I I I I I I I I I I I I + I

40
3 Z O — o o

'O a.

iiiii-fiiiiiiiii + iiiiiiiii + iiiiiiiii

41
lilt

C CL

o z c —

3 O

O Q_

I I I I I I I I I I I I

42
I I I I I I + I I I I t lll-flllllllll + lllllllll + lllllllllx^LJ

O U1 + »- o z c —

o o

><Ql— «tZULjyi

43
I I I I I

o —

o o

-0 X

I I I I I I I 4- I I + I I 10 1 I I I I I I I I I I I I I I I I I I I

44
14 11 II I I I I

I I I I I I I I I

45
TABLE 15 MEASURED WEIGHTS AND AVERAGE INVENTORY WEIGHTS

Room

No. Mpasurpd 1 1 v.. U .J 1 \— Wt. (lb)

(1)

Average

I nvpntorv

wt. (lb)

(2)

Percent Difference

(1) - (2)

t]) ' X 100

(3)

224 1 508 1506 0.13

228 2148 2183 -1.63

231 1953 1915 1.95

239 3774 3738 0,95

305 2083 2584 -24.04

313 2645 2522 4.65

321 3840 3728 2.92

419 3129 3131 -0.06

422 3031 2934 3.19

423 1583 1975 -24.79

523 3597 3784 -5.19

526 1271 1615 -27.06

527 2203 2207 -0.18

634 3354 3339 0.45

46
Using the results of Section (2), a percent difference in Table 15 should

have variance

(Transfer Function Variance) + (Surveyor Error Variance)

n

where n is the number of surveyors who inventoried the room. For the seven rooms on the third and fourth floors, n=3. For the seven rooms on the

fifth, sixth, and seventh floors, n=4 (except room 523 with n=5). Using the

pooled values from Tables 11 and 12 gives:

2 (4.61)2 + (8-33) . (6.66)2 , 3

2 (4.61)2 + (8.33) ^ (6.21)2 _ 4

All but three of the percent differences in Table 15 are smaller than these

values. The three values of about -25% are roughly three times their

standard deviations. In the following discussion, data for all 14 rooms are analyzed simultaneously, ignoring (as a second-order effect) the

theoretical difference in the standard deviations. The standard deviation

for the percent difference is taken to be 6.5.

The average of the percent differences is -4.91 and its standard error is 6.5 / /14 = 1.74. If the measurement errors in the inventory data were nor- mally distributed, the average should lie within + 2.160 times its estimated

standard error for a confidence level 0.95 or + 3.012 for a confidence level

of 0.99. These confidence intervals (based on Student's t) for the average

percent difference include zero at the 99% level, but not at the 95% level.

The analysis based on normal distribution theory can be challenged. Assuming

approximately constant coefficient of variation, the percent differences

should be distributed about some average value (the systematic error, not

necessarily zero), with standard deviation 6.5. The computed standard deviation for column (3) of Table 15, however, is 11.3. Considering the small

sample sizes, the two values are not inconsistent. But, it must be noted

that the percent differences tended to be more variable than was predicted

from the analysis of inventory data.

A distribution-free analysis has also been done. (This reduces the effect

on the results of the three 25% deviations.) The hypothesis that the systematic

error is zero cannot be rejected at the 95% level by the Wilcoxan signed-ranks

test (Reference 10, Chapter 5.1). A 95% confidence interval, associated with

the test, is:

-12.2% < bias <_ +1.5%

A "robust" estimate of the bias is -0.8 percent.

47
In conclusion, the data suggest the possibility of systematic error but

the error, if any, appears to be small with respect to the variance of the

inventory procedure. The estimated 10 percent coefficient of variation for

the survey procedure overwhelms a possible one to five percent bias. The

systematic error, if any, leads to overestimation of live loads.

(4) ^AzaMj/Lmznt UncoAZalvvty (^OK. Livd load

Up to now, this analysis has been conducted in terms of total weights in

pounds. An analysis performed in live load units (pounds per square foot)

would differ only very slightly since 12 of the 14 rooms had areas of 177

to 180 square feet. (Exceptions: Room 422, 163 ft^; Room 526, 265 ft^.)

Coefficients of variation would not change at all since the conversion from

lbs. to psf would affect both numerator and denominator of the ratio.

The principal result from this analysis is that the variability of live load

due to the survey procedure, including transfer functions and surveyor errors,

is estimated to be 10 percent of the measured load. The systematic error, if

any, is essentially negligible in comparison with the statistical variability; there may be a very slight tendency for the inventory weight to over- estimate the actual weight.

The "measurement error" associated with the survey problem is, in turn,

negligible with respect to the variability of live loads from room to room

in office buildings. For 149 rooms in the NBS building, the average live

load was 15.7 psf, with a standard deviation of 8.2 psf. The coefficient

of variation exceeds 50 percent.

Since the total coefficient of variation, including the variability of live

loads and the "measurement error," is estimated by the sum of the two components, i.e.:

(50)^ + (10)^ = (51)^

it is evident that where the room-to-room variability is about 50 percent,

the coefficient of variation for loads determined by the inventory procedure

with 10 percent variability is negligibly larger.*

Based on the preceding analysis, it was concluded that it was not necessary

to account for "measurement errors" associated with the inventory procedure

in reducing the survey data.

*For the measured weights of the 14 rooms considered in the report, the

average live load was 14.3 psf with standard deviation of 5.2 psf, and

coefficient of variation of 36 percent. A 10 percent measurement error would increase this variation to 38 percent. The average live load based

on average inventory weights [column (2) in Table 15] is 14.7 psf with a standard deviation of 4.8 psf (c.v. 33%). This is not quite comparable

since the averaging of several surveyors would tend to reduce variability.

48
3.3 Characteristics of Survey Sample

Data on room use and occupancy characteristics are presented in Tables 16 and 17. The classification of firms used in Table 17 was in accordance

with standard classifications developed to promote uniformity and comparability in the presentation of statistical data (11).

The number of each type of room in the buildings and the number selected

for survey are given in Table 16. General and clerical offices were obviously the most prevalent followed in order by storage areas, conference

rooms, lobbies, file rooms, and libraries. There were a number of vacant

rooms in most buildings. The number of rooms given in parentheses (except

for Buildings 14, 24, and 27) only include the rooms randomly selected on the basis of firm type, room use and room area (5). The additional ten percent sample of adjacent rooms selected to obtain loads for areas larger

than an individual office (5) are not included. For Buildings 14 and 27,

all the rooms where access was possible were surveyed and these are indicated in parentheses. For a few cases, access could not be obtained

for security reasons, etc. In the pilot survey of the NBS Administration

Building the twenty-five percent sampling rate was also not used and all

the rooms with the exception of three floors were surveyed.

A higher sampling rate was used for Buildings 14, 24, and 27 in order to obtain

data to check the mathematical load models developed from the survey data

(Section 3.8). Comparing loads predicted for the entire building using

these models with the surveyed loads permitted an evaluation of their accuracy as discussed in Section 3.9.

A total of 2,433 rooms was originally selected in the twenty-three buildings.

The breakdown of this total according to the selection procedure used was

as follows:

Total No. Included in Table 16

Random Selection (excluding Bldgs. 14, 24, & 27). . . 1,376

Random Selection (Bldgs. 14, 24, & 27) 261 Extra Rooms (Bldgs. 14, 24, & 27) 616

Adjacent Rooms (Bldgs. 14, 24, & 27) 2^

Adjacent Rooms (excluding Bldgs. 14, 24, & 27). . . . 152

TOTAL 2,433

The number of rooms actually used in the data analysis is given in Table 18. As indicated previously, the data for 8.5 percent of the rooms surveyed were discarded due to errors. The numbers for each selection procedure are listed separately in Table 18. Of the 2,226 used, 1,354 were randomly

selected, 245 were adjacent rooms, and 627 were extra rooms surveyed in Buildings 14, 24, and 27. The percentage of adjacent rooms selected by the

surveyors [y^^f^ ^ 100 ^ 18% was higher than originally intended (5).

The surveyor errors discussed in Section 2.4, which resulted in discarding

49
a3U oo

JO

jQ

cn

to

s_o

4-> oO

S-<Dc

QJ CD

O) • -a o

LO CM

CXI

CO

00

CO

LO I CM I ID

CO I CM

CO

CO ^

CO

CO

COEoo

S-

(-> o

(0

••-) -a

ra 4-O

OJ>

1/1 3OX

QJ o 1/1

(LI E -i-J o

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to S-

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(/)

X e cu oo T3

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ns M-O +-> C

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to E ••-)

50
4-O

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IX)

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en 3 s- c: 3

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3

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51
00

oo

oo

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00o

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o ro CTi LO C\J C\J o CO CM LD n3

-!-> C\J ro

To

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o o o O o o o o o o O

QJ

ra o o o o oo , OO O , o , o 00 o 1 Q

+-> OO

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Ol q: <: q: eC q; <C Q£ Od <C <. d; eC

OO

11

o CO '

00 LO o cn o CO LO LO CM

c/l CO 1

CO CTi CM o

(T3 fO EC\J CSJ Ln o CO C\J CO CO OO O CTl

+-> OlU- O +-> O t- O O OO CO cri 1— <C CM

Cn . -o O CM ro 00 O 1— S

CQ

52
Total

O-i 1— 1

00 ^ OvJ CTI IT) 00 r—

O^J o Ln uo

cn >—

CO

CO Ln

CM

(J\ CM

Li

brary o O O o o O O r— 1— o o o Ln o o o

Storage .— o OO O r--. o CO r- 00

oo

CVI o 00 CM CM

CNJ CM O

File o o 1— ou o o oo o o 1— o Ln o o r— O

Room

Us

Conf. >— o O O oo o .— 1— CM I— 1— o 1— Ln

oo

r- O

Lobby o o oo O 1— (XI r— cn ^ o oo 1

1— LD

CM O

Clerical CXJ o X) I— o 1

O r\ Ln

oo

00 oo

oo o

General ^ <— 00 oo O OvJ oo Ln un i\r— OO oo 00 CM Ln UD oo O CM

be

lection

Basis

Random

Adjacent

Random

Adjacent

Random

Adjacent

Random

Adjacent

Extra

Random

Adjacent

Random

Adjacent

Random

Adjacent

Random

Adjacent

Total AreaofRooms

1,992 2005,052 1

,537

17,957 2,580

20,512 2,40855,629 9,022 1

,276

19,064 2,63453,515 8,641 3,350 206

Bldg. No. oo 00 CTi oCM

53
o

tn

oo

>-_)

<:

00

00

DCO

<:

o

CO

Total un ix> CO IX)

a~i 0 CM ,

CO 0 0 CM

ro t—

1— ro

CM 00 CM 00 ro 0 .— .—

1— ro

Library

!

0 0 0 0 0 i— 0 cn 0 0 0 0 0 0 CM

Storage CO 0 un 1— ro 0 0 0 CM cn 0 1— 0 0 r— CM

1— CNJ

CD

File r— 0 1— 0 0 1— 0 CM r- 0 CnJ .

,— r- l£3

Room

Usi

Conf. CM 00

CM r— 0 r-- 1

Lobby 0 0 CO 1— 0 000 1— 0 0 LD 0 cn

Clerical ro 0 0 CM

CM

CM 0 CTl 0 1X> CMCD 0 CM 0 Ln ro CD

ro LO

General

j

1X> CO 0 Ln

CM O)

CM

.— 0 Ln 0 OD

CM

CTl CM 0 CO

CD CO

Selection Basi

s

Random

Adjacent

Random

Adjacent

Random

Adjacent

Random

Adjacent

Extra

Random

Adjacent

Random

Adjacent

Random

Adjacent

Extra

Total Area of Rooms (ft^)

;

25,479

;

1

,805

83,306

!

20,214

^

0 0

CTl

ro

8,773

'

0

!,

29,728 1

4,975 895

8,014 1

1,130 1

27,159 3,83873,012

Bldg. No. CM

CM

CM

roCM CM

un

CNJ CD

CM CM

CD

CMCM

h-o

CTl

<I—o

54
some of the rooms did not seem to be related to the type of the room

(general, clerical, etc.). The relative mix of room use types used in the

analysis, therefore, was not significantly different from that of the original

survey sample selected. For example, 941 of the 1,637 randomly selected

rooms in Table 16 or fifty-seven percent were general offices. This changed

to sixty-one percent for the analysis sample in Table 18 [y^|g4 x looj . The changes for the other types of room use were also small.

In general, only the 1,354 randomly selected rooms, of which 1,044 were

general and clerical offices, were used in the analyses in Section 3.4

through 3.8. The sample size for some of the room use types was small since

a constant sampling fraction was used (5). For example, only one percent

X lOoJ of the random sample was libraries. The adjacent rooms were included with these randomly selected rooms in determining the relationship

between loads and area in Section 3.6. The extra rooms in Buildings 14, 24,

and 27 were only used in the evaluation of the load models in Section 3.9.

The number of rooms used in each analysis in Section 3.4 through 3.9 is

indicated therein.

The occupancy characteristics for the survey sample given in Table 17 indicate

that a majority of the firms were service, finance, or public administration

type organizations. For the government buildings (Buildings 21-27), the firms were primarily public administration.
3.4 Influence of Building Characteristics

Fire load and live load data for all the buildings are presented in Tables

19 through 22. Buildings in each Census region are grouped according to height in Tables 19 and 20, and according to age in Tables 21 and 22. Maximum

and minimum values and the mean and standard deviation are given for each

category. The following relationships were used for the mean and standard

deviations throughout this report:

The standard deviation is a measure of data dispersion even for non- normal distributions. For those distributions in this report which do

not appear to be normal, an assumption regarding the form of the distribution in addition to the standard deviation and mean are required for

estimating fractiles.

The loads are expressed in terms of pounds per square foot (psf) and were obtained by dividing the total load in each room by the floor area of the

room. The fire load is the total weight of combustibles converted to an equivalent weight of combustibles with a calorific value of 8000 Btu/lb.

No derating factor was applied to the enclosed combustibles such as papers

in f il ing cabinets (5)

.

The minimum value for the live load is zero in several cases in Tables 20

and 22. Lobbies with no furniture or empty rooms account for these values.

The corresponding fire loads, however, are not zero because of the interior

finish for the walls, ceiling, and floor.

The data in Tables 19 and 20 do not indicate any definite relationship

between load magnitude and building height. For the northeast region the mean load increases with height but there is no consistent trend for the

other regions. Tables 21 and 22 seem to indicate a decrease in the mean

load with increasing age. The southern region and the oldest building in

the western region, however, do not follow this trend. The mean values do

appear to vary somewhat with geographic location. The difference in sample

size for each region may affect this variation. The three parameters:

building height, building age, and geographic location were considered in

developing the load models and their influence is discussed further in

Section 3.8.

1 n

X - - z n i-1X.

56
TABLE 19 INFLUENCE OF GEOGRAPHIC LOCATION AND BUILDING HEIGHT ON FIRE LOAD

Census

Region

Height

Group

(No. of

Stones)

No . of

Bldgs.

Total Fire Load (psf) No . Ot Rooms Max. Min. Mean Std. Dev

1 - 5 2 36 19.2 0.9 5.1 4.2

6 - 10 1 11 17.5 1.4 6.2 4.3

Northeast 11-20 0

> 20 3 362 106.5 0.3 7.9 7.7

All Bldgs. 6 409 106.6 0.3 7.6 7.4

1 - 5 3 41 24.0 0.5 6.2 4. 3

6 - 10 0 -- -- -- — --

Northcentral

11-20

> 20

1

1

3^

42

39.7

19.8

1.2

1.4

7.4

6.4

8.0

4.1

All Bldgs. 5 117 39.7 0.5 6.6 5.5

1 - 5 2 29 39.9 1.1 8.1 7.9

6 - 10 2 79 45.3 1.6 7.7 6.5

South 11-20 1 37 31 .7 2.6 12.1 6.4

> 20 1 82 30.4 0.4 7.4 5.9

All Bldgs. 6 227 45.3 0.4 8.3 6.6

1 - 5 2 37 33.3 1.0 8.6 7.5

6 - 10 1 60 29.0 1.5 5.5 4.0

West 11-20 2 215 48.5 0.5 5.8 5.9

> 20 1 289 51 .8 0.6 10.1 6.7

All Bldgs. 6 601 51 .8 n.5 8.0 6.6

Governrnent and Private Buildings

(Only those rooms that were randomly selected were used for this table.)

57
TABLE 20 INFLUENCE OF GEOGRAPHIC LOCATION AND

BUILDING HEIGHT ON LIVE LOAD

Census

Keg 1 on

Height

Group

( Nn nf

Stories

)

No. of

Bl dgs

.

No. of

Live Loa d (psf)

Max. Min. Mean Std.

Dev.

1 - 5 2 36 35.4 0.2 7.2 6.4

6-10 1 11 21 .1 0.4 7.8 6.1

Northeast n - 20 0

> cu

30 •JVC. 127.7 0.0 10.6 10.0

All Bldgs. 6 409 127.7 0.0 10.2 9.7

1 - 5 3 41 52.7 0.0 8.1 10.0

6 - 10 0

Northcentral

11-20 1

1

34

A 0

37 Q

25. 3

1 fi 1 . u

0.

1

Q-7 . n'J

7.2

o . 1

4.8

All Rldas K 1 1

7

52.7 o.n 8.0 7.8

1 - 5 2 29 38.0 1.8 10.3 9.1

6 - 10 2 79 74.3 0.2 9.1 10.3

South 11-20 1 37 43.0 6.4 16.1 8.3

> 20 1 82 44.6 0.0 9.3 8.0

All Bldgs. 6 227 74.3 0.0 10.5 9.3

1 - 5 2 37 33.4 0.0 12.7 7.7

6 - 10 1 60 35.4 0.0 6.7 6.3

West 11-20 2 215 55.6 0.0 8.0 7.2

> 20 1 289 50.1 0.0 11.5 7.7

All Bldgs. 6 601 55.6 0.0 9.9 7.7

Government and Private Buildings

(Only those rooms that were randomly selected were used for this table.)

58
TABLE 21 INFLUENCE OF GEOGRAPHIC LOCATION AND BUILDING AGE ON FIRE LOAD

Census

Region

Age

Group

( Years

)

No . of

Bldgs.

No. of

Rooms

Total Fire Load (psf)

Max. Min. Mean Std. Dev

.

1 - 5 0 -- -- -- — --

6 - 10 1 294 106.6 0.3 8.4 8.1

Northeast 11-20 1 21 17.2 1.1 4.8 3.7

> 20 4 94 35.1 0.9 5.9 4.9

All Bldgs. 6 409 106.6 0.3 7.6 7.4

1 - 5 1 12 14.5 2.3 7.9 3.3

6 - 10 2 52 39.7 1.2 6.0 6.7

Northcentral

11-20

> 20

2

0

53

--

24.0

--

0.5 —

6.8

--

4.6

--

All Bldgs. 5 117 39.7 0.5 6.6 5.5

1 - 5 1 48 27.0 1.6 7.0 4.7

6 - 10 2 29 39.9 1.1 8.1 7.9

South 11-20 1 37 31.7 2.6 12.1 6.4

> 20 2 113 45.3 0.4 7.7 6.7

All Bldgs. 6 227 45.3 0.4 8.3 6.6

1 - 5 1 289 51.8 0.6 10.1 6.7

6 - 10 1 118 44.5 0.5 3.9 4.4

West 11-20 3 175 48.5 1.0 7.2 5.8

> 20 1 19 33.3 3.1 9.5 9.0

All Bldgs. 6 601 51.8 0.5 8.0 6.6

Government and Private Buildings

(Only those rooms that were randomly selected were used for this table.)

59
TABLE 22 INFLUENCE OF GEOGRAPHIC LOCATION AND

BUILDING AGE ON LIVE LOAD

Census

Region

Age

Group

(Years)

IN 0 . 0 T Bldgs.no. OT Rooms

Live Load (psf)

Max. Min. Mean Std. Dev

.

1 - 5 0 -- -- -- -- --

6 - 10 1 294 127.7 0.0 11.4 10.5

Northeast 11-20 1 21 35.4 2.2 8.3 6.9

> 20 4 94 33.9 0.0 7.1 5.8

All Bldgs. 6 409 127.7 0.0 10.2 9.7

1 - 5 1 12 52.7 1.4 11.2 13.8

6 - 10 2 52 37.9 0.0 7.5 7.0

Northcentral

11-20

> 20

2

0

53

--

44.9

--

0.1

--

7.8

--

6.8

--

All Bldgs. 5 117 52.7 0.0 8.0 7.8

1 - 5 1 48 26.7 1.7 7.6 5.1

6 - 10 2 29 38.0 1.8 10.3 9.1

South n - 20 1 37 43.0 6.4 16.1 8.3

> 20 2 113 74.3 0.0 9.9 10.4

All Bldgs. 6 227 74.3 0.0 10.5 9.3

1 - 5 1 289 50.1 0.0 11.5 7.7

6 - 10 1 118 55.6 0.1 6.7 6.0

West 11-20 3 175 54.7 0.0 8.9 7.6

> 20 1 19 33.4 0.0 13.1 8.7

All Bldgs. 6 601 55.6 0.0 9.9 7.7

Government and Private Buildings

(Only those rooms that were randomly selected were used for this table.)

60
3.5 Influence of Occupant Characteristics

A comparison of the fire and live loads for general and clerical offices for

government and private office buildings is given in Figures 10 through 13. These figures were traced directly from histogram plots obtained using the

computer plotting routine described in Reference 6. The intervals used to plot the histograms were based on examination of initial plots obtained

using standard techniques for determining the number of intervals (12). In view of the small sample size, larger intervals were used. Note that the

abscissas for these plots were terminated at a point beyond which the data

in any given interval was less than one percent. Consequently, the maximum

values do not appear. Cumulative frequency distributions obtained from the

histograms are given in Figures 14 and 15.

The distributions in Figures 10 and 11 are positively skewed. The mean fire

load for private offices in Figure 11 is slightly higher (approximately

seven percent) than that for government offices. The coefficient of variation for the government offices, however, is approximately eight percent

larger. The cumulative frequency distributions for the two occupancies in Figure 14 are quite similar and the 99 percent fractiles are almost identical

(Government = 24 psf. Private = 22 psf).

For live loads in Figures 12 and 13, the mean value for government offices is approximately ten percent higher than that for private offices. The use of more metal furniture in government offices could account for the live load

being greater and the fire load being less than in private offices. Although

the differences are small, further examination of the data may provide an explanation. The coefficients of variation for the two occupancies are identical and the cumulative frequency distributions in Figure 15 are quite

similar.

The results in Figures 10 through 15 do not indicate any significant differ- ences between the mean fire and live loads in general and clerical offices

for government and private occupancy. Further comparisons of the effect of

type of occupant on the loads for other room uses and the composition of the

fire load (interior finish vs. movable contents) are included in Section 3.6.

The influence of firm type on occupancy duration is shown in Table 23 and

Figures 16, 17, and 18. Standard classifications developed to promote

uniformity and comparability in the presentation of statistical data (11) were used in establishing the firm types in Table 23. Occupancy duration in

this case refers to the length of time a firm occupied the particular office

in the buildings surveyed (5). It does not reflect the time period for which

the room use (general, clerical, etc.) has remained the same since the firm's

space utilization may have changed during this occupancy period. This definition is the same as that used by Mitchell in a survey in England in which

occupancy duration data were obtained by consulting telephone directories for

firm address changes over a twenty-three year period (8).

61
25

20

I

C3

uu

15

GENERAL AND CLERICAL OFFICES

- GOVERNMENT

No. DBS. = 419

MAX. VAL = 44.5 psf

MIN. VAL. = 0.6 psf

MEAN = 7.0 psf

STD. DEV. = 4.6 psf

10

5

01 1 \ \ \ \ \ \ \ 1 1 0 2 4 6 8 10 12 14 16 18 20

TOTAL FIRE LOAD (PSF)

Figure 10 - Frequency Distribution of Room Fire Load Data for

Government Office Buildings

62
25

20

I

a

LU

CC

15

10

GENERAL AND CLERICAL

OFFICES - PRIVATE

No. obs. = 625

Max. val. = 37.2 psf

Min. val. = 1.5 psf

Mean = 7.5 psf

Std. Dev. = 4.3 psf

0 2 4 6 8 10 12 14 16 18 20

TOTAL FIRE LOAD (PSF)

ure n - Frequency Distribution of Room Fire Load Data for

Private Office Buildings

63
GENERAL AND CLERICAL OFFICES - GOVERNMENT

NO. OBS. = 419

MAX. VAL. = 55.6 PSF

MIN. VAL. = 0.2 PSF

MEAN = 10.0 PSF

STD. DEV. = 6.1 PSF

I \ \ \ I \ \ \ \ \ \ LZJ I [ZZL

0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30

LIVE LOAD ( PSF )

Figure 12 - Frequency Distribution of Room Live Load Data for Government

Office Buildings

64
20

15

I >-o

o

LU

10

GENERAL AND CLERICAL OFFICES - PRIVATE

NO. OBS. = 625

MAX. VAL. - 45.4 PSF

MIN. VAL. 0 PSF

MEAN = 9.0 PSF

STD. DEV. = 5.5 PSF

0 2 4 8 10 12 14 16 18 20 22 24 26

LIVE LOAD ( PSF )

Figure 13 - Frequency Distribution of Room Live Load Data for Private

Office Buildings

65
66
A3N3no3ad BAiiviniAino

67
TABLE 23 INFLUENCE OF FIRM TYPE ON OCCUPANCY DURATION

Firm Type

No. of Firms Occupancy Duration

(Years)

Gov't. Private Gov't. Private

Hg n c u 1 Lure 0 0

i'l 1 ii 1 iiy 0 0

Constructi on 0 8 7.4, 6. 2

Manufdcturi ng 0 29 10.1, 7 7

Transportati on 1 13 5, - 5.1 , 4 0

Trade 0 43 7.5, 9 8

Finance 0 105 8.6, 10 6

Service 8 206 15.5, 12.1 7.7, 8 1

Public Administration 58 12 7.8, 6.8 7.3, 4 4

Non Classifiable 8 8 6.0, 0 4.8, 3 2

All Firm Types 75 424 8.4, 7.5 7.9, 8 .7

*Values listed are sample mean and standard deviation - X, s

68
o

00

cc

S o

>-I

oo

>oo

u

o

MO

U

c

COP.3o

uo

o

•iH

4-13

J3

CC

5^ 3 c

CU 0) 3 O

cr T-i 0) y-i u U-l

[1. o

I

•H

SIAIdId dO UBSIAIflN

69
250

200

CO

E 150 u.O

QC

LU

=) 100

50

PRIVATE BUILDINGS

No. CBS. = 424

MAX. VAL. = 63 YEARS

MIN. VAL. = 1 YEAR

MEAN 7.9 YEARS

STD. DEV. =

8.7 YEARS

10 20 30 40 50

OCCUPANCY DURATION (YEARS)

60

Figure 17 - Frequency Distribution of Occupancy Duration for Private

Office Buildings

70
250

200

CO

150

CD

100

50 -

PRIVATE & GOVERNMENT BUILDINGS

No. DBS. = 499

MAX. VAL. = 63 YEARS

MIN. VAL. = 1 YEAR

MEAN = 8.0 YEARS

STD. DEV. = 8.5 YEARS

10 20 30 40

OCCUPANCY DURATION (YEARS)

50 60

Figure 18 - Frequency Distribution of Occupancy Duration for Government

and Private Office Buildings

71
Data on agriculture and mining firms were not obtained since they were not

encountered in the buildings surveyed. For some firm types, the sample size

was very small. A majority of the firms in the private sector were service

or financial type organizations. Government firms were primarily public

administration.

Mean values for occupancy duration varied between firm types. It was some- what longer for manufacturing firms in the private sector and quite a bit

longer for government service organizations. The occupancy durations for a given firm type varied considerably and the standard deviations in Table 23 are quite large in most cases. For private firms, occupancy durations

ranged from less than one year to sixty-three years; for government organizations from five years to thirty-three years. The mean value of occupancy

duration of 8.4 years for government organizations in Figure 16 was slightly

higher than the 7.9 years for private firms in Figure 17. In view of the

smaller sample size and the fact that most of the government buildings were relatively new, this difference may be somewhat larger for the entire population.

The mean values of occupancy duration for the government and private buildings

and the total sample included in this survey are close to the mean value of

8.8 years obtained by Mitchell. Since Mitchell's results were obtained from

modern buildings (less than 20 years old) in downtown London, it appears that

occupancy duration is not a function of building age.

Variation of fire and live load magnitude as a function of occupancy duration

for 1314 rooms is shown in Figures 19 and 20. The mean value does not change

significantly with occupancy duration. The variation or range, however, is

considerably larger for the shorter occupancy durations. The sample sizes

for the longer durations were very small, however, and collection of additional data could yield similar large variations. Although there is considerable scatter, the data do not indicate any tendency for the loads to increase with time as one might expect. The influence of occupancy duration

and firm type as predictors for fire and live load magnitudes is considered

in Section 3.8.

Although no attempt was made in this survey to directly monitor load changes

with time, data obtained from the NBS Administration Building can be used for

this purpose by comparison with data obtained in a survey conducted in 1967 (4).

Results from the two surveys are given in Table 24. In comparing these

results it should be recognized that the 1967 survey involved direct weighing

and the 1974 survey used an inventory procedure. Note that the occupancy

duration for the 1974 survey is listed as nine years whereas the age of the

building in Table 3 is given as eleven years. Since the building was con- structed in 1964 and 1975 was used to compute the ages for the buildings

surveyed, the age was considered to be eleven years. The building was not

fully occupied until 1965, however, and thus nine years was used for the

occupancy duration in Table 24. The 1967 survey was conducted after two years

of occupancy and the present survey after nine years. The number of rooms

in the two surveys was different since Floors 1, 8, 10, and 11 were not

72
60

50

40 -

107

30

20

10

0

in

CD

II CO

II

o

- MAX. VAL. - MEAN - MIN. VAL.

No. OBS. = 1314

CO CO

II CO

CO

CM

II

0 10 20 30 40 50

OCCUPANCY DURATION ( YEARS )

60

Figure 19 - Variation of Fire Load with Occupancy Duration

73
128

CD

d

MAX. VAL.

MEAN

MIN. VAL.

No. OBS. = 1314

05

5 o

CO

II

CO

CO

II CO

II CO

II

II

10 20 30 40 50

OCCUPANCY DURATION ( YEARS )

60

Figure 20 - Variation of Live Load with Occupancy Duration

74
TABLE 24 INFLUENCE OF TIME ON LOAD MAGNITUDE

(NBS Administration Building)

(a) Room Loads

Survey

Date

Occupancy

Duration

(Years)

No. of

Rooms

Surveyed

Derated

Fire

Load

(psf)

Live

Load

(psf)

1967 2 335 (total) 6.3, ---

252 (offices) 6.0, - — 11.9, 5.2

1974 9 149 10.4, 6.4 15.7, 8.1

Values listed are sample mean and standard deviation - X, s

(b) Floor Loads

1967 Survey 1974 Survey

Floor Total Total

No. Survey Total (1)/ Survey Total (3)/

Load Area* /(2) Load Area* M4)

(lb) (n^) (psf) (lb) (ft^) (psf)

(1) (2) (3) (4)

1 65720 11178 5.9

23 55217 5859 9.4 79971 6060 13.2

4 88273 5947 14.8 118229 5796 20.4

5 80849 6037 13.4 81939 5815 14.1

6 61853 6040 10.2 95130 6131 15.5

7 110099 5900 18.7 102063 6010 17.0

8 89344 5989 14.9

9 94980 6283 15.1 90191 4650 19.4

10 76861 6059 12.7

11 57310 5996 9.6

12 43027 5532 7.8 52640 6030 8.7

*Room area surveyed exclusive of corridors, lavatories, etc.

75
included in the present survey. Although various rearrangements of the

office space took place during this time, the type of occupancy and general use of the building remained the same.

The results in Table 24(a) indicate that the mean live load increased by

31 percent from 11.9 psf in 1965 to 15.7 psf in 1974. The derated fire load,

however, increased by more than 70 percent.

The total live load on each floor is given in Table 24(b). Loads were not determined in either survey for the second floor which is a mechanical equipment floor. Note that the floor numbers correspond to those used in the 1974

survey. Loads for Floors 3 through 12 correspond to values given in Reference

4 for Floors 2 through 11 since the mechanical equipment floor. Floor 2, was

not counted in that survey. The floor areas given correspond to the room area surveyed and do not include equipment areas (elevator shafts, telephone closets),

lavatories, and corridors. Slight differences exist in these areas for the two surveys due to rearrangement of partitions and measurement errors. The differ- ence in survey area for Floor 9 was due to the fact that two of the larger

rooms surveyed in 1974 were discarded due to erroneous data. The total load

increased on Floors 3, 4, 5, 6, and 12 and decreased on Floor 7. The largest

increase of 54 percent occurred for Floor 6. The total load for the seven floors included in both surveys increased by 16 percent [534,298 lb - 1967 vs. 620,163 - 1974]. The percent increase in the total load is approximately half

that for the increase in the mean room live load in pounds per square foot.

This may be a result of rearranging some of the load present in 1967, i.e. some

of the load may have been moved from room to room to create higher psf loadings

in the individual offices. A more detailed study of the data is required to fully explain the differences observed.

The results for the NBS Administration Building indicate a tendency for loads

to increase with time in contrast to the data in Figures 19 and 20. It should

be noted that the values are within the scatter obtained for the 1 to 5 and

5 to 10 year intervals in Figures 19 and 20. Although the load in an individual

building may increase with time, the mean values for a given time interval con- sidering a number of buildings may not change. This may be affected by the

occupancy with little or no increase for multiple occupancy buildings in which

frequent tenant changes occur as opposed to an increase for single tenant

facilities. Obviously the variation of loads with time requires additional

study.

76
3.6 Influence of Room Characteristics

One parameter which may have a significant effect on the composition and

magnitude of the loads in offices is room use. Previous surveys, for example,

have indicated that file rooms, storage rooms, and libraries are more heavily

loaded (4).

Survey data subdivided on the basis of room use are presented in Tables 25

and 26. Data on the fire and live load magnitudes for the seven room use types are included for government and private offices. Since the various room use types occurred with different frequency in the buildings surveyed,

the sample sizes vary accordingly. Very few data were obtained in some cases and this must be kept in mind when comparing the results.

Comparing the mean loads for the various room uses in Tables 25 and 26 indicates

a definite influence of room use on load magnitude. Both the fire load and

live load are larger for file rooms, libraries, and storage areas. Libraries

are the most heavily loaded followed in order by file rooms and storage areas. Conference rooms and lobbies have the lowest loads. The trend is the same for both government and private buildings. The live loads for file rooms and libraries in private buildings are quite close but the fire loads in libraries are about 1.5 times those in file rooms. The use of metal cabinets

in file rooms may account for this decrease.

The difference between the fire loads and live loads for file rooms is much

greater than for libraries. This may be due to the fact that filing cabinets

are usually metal whereas wood furniture is more prevalent in libraries.

Although differences exist between the loads in government and private buildings

for the various room uses, there is no consistent trend. Whereas the live

load for general government offices is greater than that for private offices,

the reverse is true for lobbies and conference rooms. A similar trend may be

noted for the grand mean live load versus the grand mean fire load.

The results in Tables 25 and 26 indicate that room use has a significant effect

on load magnitude. Note that the variability or coefficient of variation for

each room use, in most cases, is less than that for all the rooms combined.

Room use was included in the load model in Section 3.8. The question of

whether this fact should be recognized in specifying design loads for buildings

as opposed to using a constant design load throughout a given building is obviously an economic issue. Adopting design loads based on area use within

office buildings reduces the flexibility of usage. This may be warranted in certain cases where the owner is the sole occupant and flexibility for rental

purposes is not a constraint. The influence of room use should be included in

planning future load surveys and will be useful in identifying more heavily

loaded rooms.

77
TABLE 25 INFLUENCE OF ROOM USE ON FIRE LOAD

Room Use

Government

Bui 1 dings

Pri vate

Bui Idings

No. of

Rooms

Total

Fire Load

(psf)

No. of

Rooms

Total

Fire Load

(psf)

General 342 7.3, 4.4 479 7.7, 4.3

Cleri cal 77 5.8, 5.2 Ufi 6.8, 4.0

Lobby 15 2.6, 1.4 45 5.0, 4.2

Conference 39 4.2, 6.1 57 5.9, 4.6

File 10 17.9, 11.9 20 16.2, 12.9

Storage 35 11.7, 19.2 77 13.2, 11.7

Li brary 2 30.2, 7.8 10 23.6, 10.8

All Rooms 520 7.3, 7.3 834 8.2, 6.4

Values listed are sample mean and standard deviation - X, s

(Only those rooms that were randomly selected were used for this table.)

78
TABLE 26 INFLUENCE OF ROOM USE ON LIVE LOAD

Room Use

Government

Bui Idings

Private

Bui Idings

No. of

Rooms

Live Load

(psf)

No. of

Rooms

Live Load

(psf)

Generd

1

342 9.9, 5.9 479 8.7, 4.9

n P ri Prl 1 V/ 1 C I 1 1 77 10.2, 7.0 146 10.0, 6.9

Lobby 15 2.3, 1.5 45 4.6, 4.8

Pnn UUI 1 "Fo 1 C y^P 1 CIniK^xz pp 39 5.1, 7.0 57 6.1, 5.0

File 10 27.0, 16.3 20 2A.4, 19.2

Storage 35 16.5, 23.3 77 15.5, 13.8

Library 2 34.3, 2.8 10 24.9, 9.8

All Rooms 520 10.3, 9.4 834 9.7, 8.1

Values listed are sample mean and standard deviation - X, s

(Only those rooms that were randomly selected were used for this table.)

79
The composition of the fire load according to room use and occupancy is given in Tables 27 and 28. The percentages of the total load for interior

finish and movable contents are given. Histograms indicating the distributions of this percentage for general and clerical offices are given in

Figures 21 and 22. The interior finish load consisted of: the combustible

weight (converted to an equivalent weight of cellulose) of the wall materials

and coverings such as paneling, paint and wallpaper; ceiling and floor

finish materials including carpeting; and trim such as wooden molding on walls, doors, and windows. Furniture, equipment, and other movable items were included as movable contents.

The mean interior finish fire load in psf was almost identical for the various room uses. It was somewhat higher for private buildings than government

buildings. Although one might expect the type of finish materials to be

different for some types of room use (e.g. file vs. general), this was apparently not the case in this survey. Since the total fire load varies

with room use, obviously the percent contribution of the interior finish

will vary. Referring to Tables 27 and 28, this percent is greatest for

lobbies and least for libraries and file rooms as expected.

Data on the influence of room size on load magnitude are presented in Tables

29 and 30 for the various room use categories and occupancies. The four area size groups used in the tables were arbitrarily selected as representing

very small, small, medium, and large size rooms. They were not based on the

frequency of occurrence of these areas in office buildings. Note that these

data are for rooms and do not represent the load on portions of a floor con- sisting of two or more rooms (structural bay). In the room selection procedure, rooms were selected on the basis of area being greater or less than

2 200 ft . This may account for the small sample size in some cases and the

lack of data in others. It is more likely, however, that the smaller areas

are not used for certain types of rooms, e.g. conference rooms would normally

2 be larger than 50 ft .

For general and clerical offices in Tables 29 and 30, the mean load decreases

with increasing area. There is no apparent trend for the other room use categories which may be due to the small sample size in most cases.

The influence of room size on live load magnitude is further illustrated in

Figures 23 through 26. The types of room use and both occupancies were com- bined for each area size group for the histograms shown. The distributions

for all the size groups are positively skewed and do not seem to approach a normal distribution as area increases. The coefficient of variation is quite

high for three of the four groups. This may be due to the smaller sample

size for these cases. Except for the largest size group, the variability as measured by the coefficient of variation seems to decrease as area increases.

Mitchell's data (8) indicated this same trend and his data for various areas showed similar large scatter.

80
TABLE 27 COMPOSITION OF TOTAL FIRE LOAD

BY ROOM USE FOR GOVERNMENT BUILDINGS

Use

No. of

Total

Fi re Load*

(psf)

Interior

r 1 M loll Fire

Percent of Total Fire Load**

Rooms Load* Interior

Finish

Mnvflbl

p

Contents

art o a 1 bcricra 1 7 & A. 17 83

L 1 er 1 La

\

77 0 . O ) D > c. \ • L. , U.J 20 80

1 ohhv 1 5 2.6, 1.4 1.3, 0.4 50 50

Conference 39 4.2, 6.1 1.2, 0.4 29 71

File 10 17.9, 11.9 1.2, 0.6 7 93

Storage 35 11.7, 19.2 1.2, 0.5 10 90

Library 2 30.2. 7.8 1.0, 0.1 3 97

All Rooms 520 7.3, :.3 1.2, 0.4 17 83

*Values listed are sample mean and standard deviation - X, s

**Values listed are sample mean

(Only those rooms that were randomly selected were used for this table.)

81
TARLE 28 COMPOSITION OF TOTAL FIRE LOAD

BY ROOM USE FOR PRIVATE BUILDINGS

Room

Uo c

No. of

1 Ota 1 Fi re Load*

(psf)

T1 jrhpyi 1 nv* 1 i- Cl 1 U 1 Finish

Fire

LUCt U (psf)

Percent of Total Fire Load**

Interior

Finish

Movabl

e

Contents

General 479 7.7, 4.3 1.9, 0.4 24 76

Clerical 146 6.8, 4.0 1.7, 0.5 25 75

Lobby 45 5.0, 4.2 1.7, 0.6 34 66

Conference 57 5.9, 4.6 1.8, 0.4 30 70

rile 20 16.2, 12.9 1.8, 0.6 11 89

Storage 77 13.2, 11.7 1.7, 0.9 13 87

Library 10 23.6, 10.8 1.8, 0.4 8 92

All Rooms 834 8.2, 6.4 1.8, 0.5 22 78

*Values listed are sample mean and standard deviation - X, s

**Values listed are sample mean

(Only those rooms that were randomly selected were used for this table.)

82
40

30

o

a

UJ

20

10

0

GENERAL AND CLERICAL OFFICES - GOVERNMENT

No. obs. = 419

Max. val. = 1.0 Min. val. = 0.02

Mean = 0.24

Std. Dev. =0.17

rzL

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

INTERIOR FINISH FIRE LOAD

TOTAL FIRE LOAD

Figure 21 - Percentage of Interior Finish Fire Load - Government Offices

83
30

25

20

cd

LU

15

10

5 -

0

GENERAL AND CLERICAL OFFICES - PRIVATE

No. obs. = 625

Max. val.= 1.0 Min. val. = 0.04

Mean = 0.32

Std.Dev. = 0.19

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

INTERIOR FINISH FIRE LOAD

TOTAL FIRE LOAD

Figure 22 - Percentage of Interior Finish Fire Load - Private Offices

84
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86
30

20 -

I >-o

LU

ALL ROOMS

50 FT^ > AREA ) NO. OBS. = 41 MAX. VAL. = 74.3 PSF

MIN. VAL. = 0 PSF

MEAN = 17.4 PSF

STD. DEV. = 17.1 PSF

10

10 20 30 40 50

LIVE LOAD ( PSF )

60 70

Figure 23 - Load Intensity versus Area of Room - Area <_ 50 ft

87
30

^ 20

I >-

C3

UJ

10

ALL ROOMS

50 FT^ < AREA < 100 FT^

NO. OBS. = 188

MAX. VAL = 127.7 PSF

MIN. VAL. . = 0 PSF

MEAN = 13.2 PSF

STD. DEV. = 12.5 PSF

10 20 30 40

LIVE LOAD ( PSF )

9 0 Figure 24 - Load Intensity versus Area of Room - 50ft < Area < 100 ft

88
r

40

30

I >-

LU

cc

20

10

0

ALL ROOMS

( 100 FT2 < AREA < 300 FT^)

NO. DBS. = 899

MAX. VAL. = 52.7 PSF

MIN. VAL. = 0 PSF

MEAN = 9.2 PSF

STD. DEV. = 6.4 PSF

10 20 30 40

LIVE LOAD ( PSF )

50

2 2 Figure 25 - Load Intensity versus Area of Room - 100 ft < Area _< 300 ft

89
40 r30

I o

20

10

0

ALL ROOMS

( 300 FT^ < AREA ) NO. OBS = 226

MAX. VAL = 62.7 PSF

MIN. VAL. = 0 PSF

MEAN = 8.7 PSF

STD. DEV. = 8.9 PSF

i 1 0 10 20 30 40

LIVE LOAD ( PSF )

50

Figure 26 - Load Intensity versus Area of Room - 300 ft < Area

90
The data in Figures 23 through 26 indicate that the mean load decreases

^ significantly as area increases. The mean for areas greater than 300 ft , for example, is only fifty percent of that for areas less than 50 ft . This

decrease is considerably different from that observed by Mitchell. This is apparent from the following comparison:

Present Survey

Area Range

(ft^)

No. Obs.

Mean

Live

Load

(psf)

Std.

Dev. (psf)

Coeff.

Var. 99%Fractile*

(psf)

0- 50 41 17.4 17.4 1.00 74.3

50-100 188 13.2 12.5 0.95 127.7

100-300 899 9.2 6.4 0.70 33.4

>300 226 8.7 8.9 1.02 52.1

* Fractile values obtained directly from ordered data.

Mi tchel 1

' s Survey

(Reference 8)

Mean Mean

Notional No. Live Std. Coeff. 99%

Bay Area Calc. Load Dev. Var. Fractile

(ft^)

(psf) (psf) (psf)

25.3 8840 13.8 13.5 0.98 62

56 14290 13.4 11.0 0.82 52

151 20442 13.0 8.9 0.68 44

336 14283 12.8 7.2 0.56 37 624 6511 12.3 6.3 0.51 32 1197 1885 12.2 5.5 0.45 30

2069 1152 11.8 4.5 0.38 25

91
It is important to note, however, that the basis used to obtain the loads

presented herein was different from that used by Mitchell. Mitchell included

the weight of people and assumed certain loads for some areas (corridors,

stairways, lavatories, etc.) whereas this was not done in this survey. Also,

Mitchell obtained loads per unit area using portions of a floor and subdividing

these portions into rectangular bays (notional bays) of varying area and aspect

ratio. These notional bay areas did not necessarily coincide with the partitions and consequently, Mitchell's values are not loads per unit area for

a room.

The decrease in mean live load with increasing area is much greater for room

loads than for the notional bays. This is probably due to the effect of the

notional bay concept unless significant differences existed between the two survey samples. For the smaller notional bay sizes, for example, some of

the bays would consist primarily of small heavily loaded rooms while others

would be pieces of larger more lightly loaded rooms. The overall mean, therefore, would be less than that for the small rooms which is the case

for the data given. Similarly, for large notional bays some of the bays would

consist of lightly loaded large rooms whereas others would consist of several

smaller more heavily loaded rooms. The overall mean would be larger than

that for the large rooms which the data above indicate. For the 99% fractiles,

the notional bay values are less than the room values. This may be due to the considerable difference in sample size or the survey samples themselves.

Except for the large rooms, the coefficients of variation for the room loads

and notional bay loads are about the same and follow the same trend, i.e.

decrease as area increases.

The relationship between mean load and room area is also shown in Figures 27

2 through 30. Here room area intervals of 50 ft were used as opposed to the

four groups in Figures 23 through 26. The data in these figures seem to follow the same trend noted previously, i.e. the mean load decreases with

increasing room area. In view of the apparent influence of room area on load

magnitude, this parameter was included in developing the load models in

Section 3.8.

92
CO

Std

Dev.

(I W 00 r~ '

'

Mean

(psf)

LO 05 CO 1 ^

No

obs CD CO ^ O fSJ

O)c

(B OC

1200

2000

2000

3000

3000

4000

4000

6000

6000

9000

LUu

NT

OFFI

=

630

ERNME No

obs.

GOVI

I = N

z

e

= N

Z-- N

= S = N

E

== N

E

== N

E

=

= N

= s

= N_

3

== N

}sil 81

'

= s 01 = N

jsd 0 91 = s 6 = N

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= s U = N .

|sd g e = s OE = N

jsd 0 8 = s Zt, = N

jsd ^ 9 = s = N

isd i e

= s >i = N

|sd 6 E = s 08 = N

|sd 8 9 = s EOl = N

jsd = s 091 = N

isd 5 13 = s >2 = N

jsd 8 81 = s '9 = N

I

Ooo

oo

o

CD

o

tn o Ln

(dS(J) OVOl im IViOi NV3I/\I

93
(dSd) QVOI 3aid IVIOI l\IV3l/\l

94
>

Q3 . o

55 s ;^ ^ 1 1

Mean

(psf) r- ^ 1 ^

CO oo 1 ^2

£ 4

CO CO ^ O rsi

OJ

1200

2000

2000

3000

3000

4000

4000

6000

6000

9000

E = N

I = N

il

|sd 8 9

Z

Z

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oooo

t

<LU

cc<

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t 1

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i ^

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LU . . CD CNi

1200

2000

2000

30O0

3000

4000

4000

6000

6000

9000

Z = N

Z = N

Z = N

Z = N

jsd ^ 6 = s > = N

£ = N

3 = N

jsd 9 9 = s = N

}sdG>= s 8 = N

)Sd itt = s tl = N

jsd g 6 = s 92 = N

ja) 91 = s 68 = N

}sd 2 9 = s £9 = N

69 = s eg = N

isd 99 = s 'ifrl = N

>srf 1 9 = s 683 = N

isd 28t = s 991 = N

isd 8 91 = s = N

I

o

oooo

o

CO

o

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(dSd) aVOl 3An NV3IAI

96
3.7 General Results

The survey data provided detailed information on the characteristics of rooms

in office buildings in addition to the loads discussed in previous sections.

This included information on the bounding surfaces, openings, and room con- tents which is summarized in this section. Numerous additional studies can be made using the data collected.

The characteristics of the bounding surfaces (walls, floor, ceiling) are of

interest with respect to fire growth and fire severity studies. Data on these characteristics are presented in Table 31. For each item, the types

of material correspond to the choices available on the data collection form.

The number of occurrences for each of the 1354 rooms and the frequency of occurrence are given. The sample size for the walls was obviously four times

that of the room sample. Referring to Table 31, it may be noted that:

(1) the ceiling material was acoustical tile in most cases, (2) the majority

of floors were covered with carpet or resilient tile and very few wood floors were encountered, (3) most doors were metal although many doors had a plastic veneer type finish, (4) most baseboard molding was rubber or metal, (5) non- combustible and metal wall panels were predominant (some rooms with one or more open walls occurred - wall material not present), and (6) the majority

of the walls were painted.

Since the severity of a fire in a room is affected by the dimensions of the

openings through which air for combustion can be supplied, data on the doors

and windows in the offices were obtained. These data are presented in Table 32

according to room use and occupancy type. The percentage of wall area com- posed of doors and windows and the opening factor or temperature factor are given. The fire duration in hours is directly related to the fire load and

this opening factor (13). The percentage of door and window area appears to be related to room use with file rooms and storage rooms having the smaller

values as expected. In most cases, rooms in private buildings have a larger

percentage of door and window area. The opening factors for government

general and clerical offices in Table 32 are approximately equal to the

"medium" values for this parameter used in analytical studies by Lie and

Stanzak (14). The values for government lobbies, conference rooms, and file rooms are close to their "small" values. The opening factor for private

general of'fices agrees with their "large" opening factor. Note that the

opening factor for each room use in Table 32 varies considerably and in most

cases the coefficient of variation is greater than one.

Data on the number of concentrated loads in offices are given in Figure 31. The number of loads in this case refers to discrete individual floor loads. For example, a cabinet, including its contents and items on top of the cabinet, was considered as one load. The total includes all items from heavy pieces

of furniture such as desks to small light items such as wastebaskets . The mean number of items was eighteen and the maximum 304. The large number of

loads occurred in office landscape type areas, i.e. open office space comprising

almost an entire floor. The few offices with a very large number of loads

also account for the large coefficient of variation ( ttV = 1.6). About six

percent of the rooms, primarily lobbies, contained five items or less.

97
OO CO O LU

I— =!

(_) CD < z:

Not Present

I j o

cr.

. CO "3-

1 00 CD

IT) . ro c£) 743

13.7

ns

and

Percent

of

Total

Paint 4023 74.3

Vinyl CM un

Drapes r-* • ro KO

Paper

Gypsum

Board 1951 36.0

Plaster V£> CNJ CO • ro «x<

Rubber

i

ro • in

Carpet 856

63.2

F

Observatio

Res.

Flooring 325

24.0

lumber

ol

Non

Comb.

in LT) — CO

159

11.8

1038 19.2

Acoustical Tile

1227 90.6

Plastic

•<3- O

469

34.6 O CTi CVI . f— 00 ^ . CM O

Metal O 1

737

54.4

«X> CTI cn . OJ —

CVJ

1658 30.6

Wood '~ o

o ^ .

. o

CM 00 • CO o

O

1

Item

Ceil

ing

Floor Doors

1

Floor

Trim

|

Wall

Materia*

Wall

Covering!

o o o

o _ .c _

ra

98
TABLE 32 SUMMARY OF DATA FOR DOORS AND WINDOWS

uccupdncy rxUUlM l\ln nf DnUU nUi nrcu A v^p a nine |J)Uo Ulwill i n r\n\fj UUW nA k'o ;i

1 c a INO . OT Type Use Rooms Total Wall Area

X 100

Rooms* Factor

MAx/iT V n // nA T

1

General 342 12.7, 7.6 294 0.117, 0.103

CI erical 77 11.2, 7.4 50 0.089, 0.08^

Lobby 15 14.8, 10.9 11 0.034, 0.057

bovernincrii LU 1 1 1 c r CI 1 Q 9 C C 0. £ , D. 0

•37 n n'3? n n^?

r M c 11 nu D. U, 3.0 O

35 0 008 0 032

L 1 u r d 1 y C c 0 064 0 090

General 479 17.8, 9.2 453 0.185, 0.136

CI eri cal 146 13.3, 8.0 112 0.090, 0.110

Lobby 45 14.5, 9.0 32 U.U23, 0.046

Pri vate Conference 57 14.1, 9.9 56 0.087, 0.138

File 20 11.1, 7.3 17 0.050, 0.111

Storage 77 9.0, 7.0 70 0.007, 0.032

Library 10 6.8, 4.7 7 0.035, 0.066

Values listed are sample mean and standard deviation - X, s

A = Total window area

H = Height of window in feet

Ay = Total area for internal surfaces of room (walls, floor, ceiling)

*The opening factor was not computed for rooms without four full height walls.

(Only those rooms that were randomly selected were used for this table.)

99
40

30

>-

o

C3

LU 20

10

0

0 10 20

ALL ROOMS

NO. DBS. = 1354

MAX. VAL. = 304

MIN. VAL. = 0

MEAN = 17.6

STD. DEV. = 28.5

30 40 50

NUMBER OF DISCRETE CONCENTRATED LOADS

Figure 31 - Number of Discrete Loads in a Room

100
The characteristics of the types of furniture items observed in the offices

surveyed are given in Table 33. The total number of desks, tables, etc. in

the 1354 offices and the construction material are indicated. The material

type in this case refers to the primary construction material and does not include laminate material used as a finish surface. The number of metal

desks encountered was about twice the number of wood desks. The reverse

was true for tables, however. As expected, the majority of filing cabinets were metal. General purpose cabinets were equally divided between the two material types. In the total survey only four pieces of plastic furniture were encountered.

The weight of heavy individual furniture items in offices is of interest in

live load design. Existing standards, for example, require that floors be

designed for concentrated loads in addition to the specified uniformly distributed loads. The frequency distribution for the heaviest load in each of

the rooms surveyed is given in Figure 32. The maximum load encountered was 3280 lb. The mean for all the offices was 451 lb. The coefficient of variation of 0.63 for these data is of the same order of magnitude as that for the

uniformly distributed live load (Figures 12 and 13 - 0.61) The 99 percent

fractile load for the data in Figure 32 is 1748 lb which corresponds closely

to the value of 2000 lb specified in existing standards for office buildings.

The amount of paper and books in offices is of interest with respect to fire

considerations. The degree of compaction of this material is also important

since it affects the rate at which it will burn. Table 34 lists the observed

percent compaction of paper and books for various furniture items in the

survey. Paper and books on top of furniture which are immediately available

for combustion (free contents) and enclosed paper and books within drawers,

shelves, etc. are listed separately. Since enclosed contents refer only to material completely enclosed on all sides, there are no data for enclosed

paper and books for shelving, seating, and miscellaneous items. The number

of observations in each case refers to the number of distinct piles or stacks

encountered for all the desks, tables, etc. The data indicate that piles of

paper occurred more frequently than piles of books. The number of piles

of free and enclosed paper were about the same for desks. For cabinets,

the number of enclosed paper piles was twice the free content piles. The

percent compaction generally ranged from 85 to 95 percent.

The spatial distribution of the loads in a room is important from the standpoint of the live load effect on the structural systems and the transmission

of heat to the bounding surfaces in the case of a fire. Data on this distribution are presented in Figures 33 and 34 and Table 35. The data in Figures 33 and 34 indicate a definite tendency for the items in a room, particularly the

heavier items which contribute the major portion of the total room load, to be

located near the walls (within 2 ft). Both distributions indicate a negative

skew although there appears to be an slight tendency toward a bimodal distribution. Apparently in arranging the contents of offices, the occupant either

101
TABLE 33 CHARACTERISTICS OF ROOM FURNITURE

Type of Item Total No. Number of Observations and

Percent of Total

Wood Metal Plastic*

Desk 2162 755

34.9

1407

65.1

0

Table 1502

912

60.7

589

39.2

1 0.1

Fil ing Cabinet 1608

74

4.5

153^

95.4

0

Fil e Safe 32

26.3

30

93.8

0

Blueprint Cabinet 23 0 23

100.0

0

Card File 120

75.8

113

94.2

nu

General Purpose

Cabinet

10^8

503

48.0

544

52.0

1 0.1

Bookcases 1014

356

jD. 1 658

0

Free Shel ving 521 247

47.4

272

52.2

2 0.4

Ch ai rs (Frame material

)

4588

2840

61.9

1748

38.1

0

Government and private - sample size = 1354 rooms *Does not include wood or metal items with plastic laminate finish surfaces

(Only those rooms that were randomly selected were used for this table.)

I

I

102 i
ALL ROOMS

NO. DBS. = 1354

MAX. VAL. - 3280 lb. MIN. VAL. = 0 lb. MEAN = 451.4 lb. STD. DEV. = 284.7 lb.

0 100 200 300 400 500 600 700 800

MAGNITUDE OF HEAVIEST LIVE LOAD ( LB )

Figure 32 - Magnitude of Heaviest Room Load

103
TABLE 34 COMPACTION OF PAPER AND BOOKS

Type of Item

Percent Comoaction for Paoer and Bnnk<; Fr pp Enclosed

Total No,

of Obs. Free Book

Total No. of Obs. Free Paper

Total No. of Obs.

Enclosed

Books

Total No. of Obs.

Enclosed

Paper

Desk

636 90.5 1999 96.8 789 87.8 1949 84.9

Table 432 88.3 850 94.8 33 93.9 165 95.9

Cabinet 635 87.0 1031 93.9 699 81 .8 2318 82.7

Shel ving 958 83.5 897 88.0

Seating 1 100.0 3 93.2

Miscellaneous 46 92.0 252 83.9

Government and private - sample size = 1354 rooms

Values listed are sample mean and standard deviation - Y, s

(Only those rooms that were randomly selected were used for this table.)

104
t

20

15

>-

C3

LJLl

10

0

ALL ROOMS

NO. OBS. = 1354

MAX. VAL. = 98.9%

MIN. VAL. = 0%

MEAN = 52.6%

STD. DEV. = 26.8%

0 10 20 30 40 50 60 70 80 90 100

PERCENT OF MOVABLE FIRE LOAD WITHIN

TWO FEET OF WALLS

Figure 33 - Distribution of Fire Load in Rooms

105
i

40

30

ALL ROOMS

NO. OBS = 1354 MAX. VAL = 100%

MIN. VAL = 0%

MEAN = 75.6%

STD. DEV = 28.0%

>-

C_3

20

10

10 20 30 40 50 60 70 80 90 100 PERCENT OF LIVE LOAD WITHIN

TWO FEET OF WALLS

Figure 34 - Distribution of Live Load in Rooms

106
TABLE 35 SPATIAL DISTRIBUTION

OF ROOM CONTENTS

Type of Item Government Offices Private Offices

No. of

Items Percent within

2 feet of walls

No. of

Items Percent within

2 feet of walls

Desk 965 55.

1

1197 55.5

Table 847 69.8 655 61 .8

Cabinet 1217 95.7 1614 84.6

Shel vi ng 716 72.5 819 81 .7

Seating 3891 35.0 4162 31 .8

Miscellaneous 2979 65.2 4310 54.7

Government and private - sample size = 1354 rooms Values listed are sample mean

(Only those offices that were randomly selected were used for this table.)

107
locates most of the items close to the walls or a very small portion near

the walls, the former case occurring more frequently. The mean values of

the live load and fire load within two feet of the walls were 75.6 percent

and 52.6 percent respectively. The lower mean for the fire load percentage

may be due to the fact that the derated movable fire load was used in Figure

34.

The spatial distribution of the various types of furniture items is given

in Table 35. As expected, cabinets and shelving are more frequently close

to the walls. About half of the desks and somewhat more than half of the

tables were within two feet of the walls. Most of the seating was greater

than two feet from the walls. Although some differences occurred between

private and government offices, there is no apparent trend.

The percentage of the room floor area occupied by furniture provides an indication of the degree to which office space is utilized and is an important

consideration relative to the amount of space available for additional furniture loads or loads which could occur due to people crowding into a particular

room under certain circumstances (emergencies, parties, etc.). Obviously, the

smaller the percentage occupied, the greater the additional load could be.

Data on this parameter are given in Figure 35 for general and clerical offices.

About 60 percent of the data fall in the 20 to 40 percent range with a mean

value of 33.5 percent. The variation (coefficient of variation = 0.42) is somewhat less than that discussed previously for load magnitude and the distribution is approximately normal. The variation of this ratio as a function

of the area of the room is presented in Figure 36 for all the room use types.

The mean value seems to decrease slightly with room area. For rooms less than

2 100 ft , approximately 40 percent of the floor area is occupied. This value

decreases to between 25 to 30 percent for larger areas. Table 36 summarizes

data on this parameter as a function of room use. The fractile values were

obtained directly from the ordered data. The minimum values of zero correspond

to empty offices and lobby areas with no live load. The mean value of the

occupied floor area was approximately the same for the different room uses except for lobbies. The scatter of coefficient of variation was much larger

for storage rooms than the other uses. More variation occurred for the 95

percent fractile, however, with the largest values being for clerical offices

and storage rooms.

The survey data presented thus far indicate that a variety of factors may affect

the load characteristics and loads in offices to varying degrees. Although

the concept of discussing these quantities in terms of a "typical" office is questionable, it is of interest to summarize the mean values. Data on factors

related to fire consideration are given in this form in Table 37 for the 1044

randomly selected general and clerical offices in the survey. Mean values for

both the total and derated fire loads, the movable contents and interior

finish fire loads, the characteristics of these loads and information on the

openings are included. Derated fire loads were obtained using the derating

factors presented in a previous report to account for the estimated quantity

of enclosed combustibles which will burn in a fire (5).

108
35

30

25

>-

C3

uu

cc

20

15

10

GENERAL AND CLERICAL OFFICES

No. OBS. = 1044

MAX. VAL. = 140 %

MIN. VAL. = 0%

MEAN = 33.5%

STD. DEV. = 14.0 %

0 10 20 30 40 50 60 70 80

(OCCUPIED FLOOR AREA/TOTAL FLOOR AREA) xlQO

Figure 35 - Frequency Distribution of Loaded Floor Areas

109
o o

CO

o

I

e

I

z

II 0 - s '9

I

80 0 = s '9 - N a O = s '9 = N

130 = s-9 = N

90 0 = s > = N

Z = N

80 0 = s '6 = N

61 0 = s 'u = N

810 = s EL = N a o = s '91 = N

910 = s '9t = N

92 0 = s '99 = N

21 0 =s '8^ = N

21 0 = s 'IK = N

II 0 = s '982 = N

n o = s >n - N

IVO = s '881 = N

98 0 = s 'Ofr = N

a3H3A03 V3aV aOOId iN33y3d NV3IAI

Figure 36 - Variation of Occupied Area with Floor Area

no
TABLE 35 SUMMARY OF OCCUPIED FLOOR AREA

Room Use No. of Occupied Floor Area/Total Floor Area

Rooms

Mt r> 1 mi im Val ue LOW c r 0/0 Fracti 1

Maximum

Value

Upper 95%

Fracti 1

Mean

Value

oLdilUdrCJ Devi ation

General 818 0.0 15.6 90.2 53.9 33.1 12.4

CI erical 222 0.0 13.7 97.9 73.8 3^.1 17.0

Lobby 60 0.0 0.0 65.2 43.4 20.2 13.8

Conference 95 9.7 15.^ 84.6 59.5 36.1 14.1

File 30 1.2 5.9 87.1 62.9 35.4 19.1

Storage 111 0.0 0.0 92.1 75.0 27.5 21 .0

Library 12 22.1 58.3 36.6 10.9

Government and Private Buildings

(Only those rooms that were randomly selected were used for this table.)

ni
TABLE 37 PROFILE OF OFFICE FIRE LOADS

General and Clerical Offices - Sample Size = 1044 offices

(Government and Private)

1. Total fire load = 7.3 psf, 4.4 psf

2. Total fire load (derated) 6.6 psf, 4.1 psf

3. Movable contents fire load

(derated) 5.0 psf. 4.0 psf

4. Interior finish fire load = 1.6 psf. 0.5 psf

5. Percent of total derated fire load

enclosed in metal containers 9.1%, 12. 4%

6. Percent of furniture and miscellaneous items within 2 feet of

1"hp wa 1

1

= 70.2%, 20. 4%

7. Percent of total fire load

within 2 feet of the walls = 55.1%, 23. 6%

8. Percent of total fire load

that is paper and books = 38.6%, 22. 9%

9. Number of free standing items 16.9, 27 .6

10. Opening Factor (A /IT/Ay)** = n.146 ft^/^ , 0.127 ft^''^

11. Percent of floor area occupied = 34%, 19. 1%

* Sample Size = 1034

**Sample Size = 909

Values listed are sample mean and standard deviation - X, s (Only those rooms that were randomly selected are used for this table.)

112
following observations can be made from the data in Table 37:

(1) The derated fire load is approximately 90 percent of

the total fire load,

(2) Movable contents comprise approximately three-fourths

of the derated fire load,

(3) The majority of the furniture items are within two feet

of the walls,

(4) Paper and books account for approximately 40 percent

of the total fire load, and

(5) On the average, 34 percent of the floor area is covered

by furniture, equipment, etc.

113
3.8 Load Models

As indicated in the Introduction, the purpose of this survey was to identify

the factors affecting the magnitude of loads in office buildings and to then develop a mathematical model for predicting future loads. The model

could be used for future building populations with a different relative mix

of building and occupant characteristics (building height, firm age, etc.)

than the current population surveyed. It was assumed that time would not

significantly change the effect of the various parameters, e.g. if the load

magnitude in present-day buildings is related to room use and file rooms are

X percent heavier than clerical offices, file rooms in future buildings would

continue to be x percent heavier than clerical offices. This assumption

regarding time effects obviously needs to be verified.

The influence of building and occupant characteristics on load magnitude can

be considered at two levels, loads in rooms and loads on larger areas such

as structural bays. The latter is obviously more significant from the standpoint of design requirements. Factors such as room use and area can be

referred to as "local" factors and may affect the loads in individual rooms. One would expect, however, that these mean room loads would not be affected

by factors such as building height and building age. The loads on larger areas or structural bays, however, may be affected by these building factors

since the arrangement of rooms may be related to building height, type of

occupancy, etc. The survey data may be used for both cases. The analysis

in this report considers only loads in rooms. The influence of building

factors (i.e. arrangement of rooms in the buildings) on loads on structural

bays can be determined using the floor plan data (6). Additional analysis

is required to determine this influence.

Since the twenty-three buildings did not conform to a factorial experiment

design, a linear regression analysis was used to derive the mathematical

models. A step wise regression analysis of the data was carried out using

the BIOMED computer program (6). The following form was used for the

mathematical model

n E[Y] = C + E C .X

.

X 0 . T -C

The term, C^x^ represents the main effect of the variable x^. Several

combinations of variables were used in order to identify the significant

factors. Regression analyses were carried out using the following combinations

(1) room use; (2) room use and room area; (3) room use and firm type; (4) room

use, firm type, and geographic location; (5) room use, firm type, geographic

location, occupancy duration, building age, building height, and room area.

In all cases, room use was found to be the most significant factor, i.e. it

contributed almost all the variance in the live load and fire load accounted

for in the regression analysis. Room use, therefore, was the only variable

included in the mathematical models [Equations 1 and 2] .

114
The mean and standard deviation for the data from all the 1354 rooms were

as follows: Live Load - x = 9.9 psf, S = 8.6 psf; Total Fire Load - x = 7.8 psf, S = 6.8 psf. The final equations developed from the regression

analysis give the following predicted mean values:

Mean Live Load (psf) = 13.8 - 4.6x^ - 3.7x2 " ^'^^3

- 8.1x4 ^ Tl-Sxg + 2.0Xg

.12.7x7

(1)

Mean Total Fire Load (psf) =11.1 - 3.6x^ - 4.7x2 " ^•'^^3

- 5.9X4 ^ ^-^^S ^-^^6

+ 13. 6x- (2)

The independent variables x. in Equations 1 and 2 correspond to the following

room use types:

x-| - general office

X2 - clerical office

x^ - lobby

X4 - conference room

Xg - file room

Xg - storage room

x-j - library

Each variable takes on the value of one or zero and only one of the seven is nonzero at a time depending on the type of room for which the equations are

used. For example, the mean live load for storage rooms is obtained from

Equation 1 by setting x-j = X2 = x^ = x^ = x^ = x^ = 0 and Xg = 1 , i.e.

E [Live Loadl^^Q^ggg = 13.8 + 2.0 = 15.8 psf. The standard deviations

associated with Equations 1 and 2 obtained from the average of the squared

residuals in the regression analysis are 7.8 psf and 6.2 psf, respectively.

The magnitude of the coefficients in Equation 1 suggest that some of the room types could be combined as follows: general and clerical; lobby and

conference; and file and library which would reduce Equation 1 to four

independent variables, three of which take on nonzero values for two room

uses, i.e. x-j = 1 for either general or clerical offices. For the purposes

of this report, the seven independent room use types were retained.

Although previous surveys (8) and the data in Figures 23-26 suggest that the

fire load and live load are related to the area of a room, the regression

analysis using room use and room area did not indicate that area had a significant effect. The results obtained including both room use and area were as

fol lows

:

115
Mean Live Load (psf) = 9.5x^ + 10.7x2

+ 4.4x, + 6.1x, + 26.0X1- + 16. Ix^

3 4 5 p 6 + 26.8X7 " 0-00134 Area (ft ) (3a)

Mean Total Fire Load (psf) = 7.7x^ + 6.9X2 + 4.7x2

+ 5.5x. + 17.3Xc + 12.9Xc

4 b ° ? + 25.0X7 " 0-00098 Area (ft ) ^3^^^

Note that the form used for Equations 3 is somewhat different from that used

for Equation 1, i.e. no constant term. For general offices of different size,

2 the live load from Equations 3 would be: Area = 50 ft , Live Load = 9.4 psf;

Area = 100 ft^, Live Load = 9.4 psf; Area = 150 ft^, Live Load = 9.3 psf;

Area = 300 ft^, Live Load = 9.1 psf; Area = 500 ft^, Live Load =8.9 psf.

This decrease in load with increase in area is considerably less than that

indicated in Figures 23 through 25. Similar results occur for the other

room uses.

The preceding analysis suggests that room use and room area may be correlated,

i.e. file rooms may normally be small rooms, conference rooms and lobbies

large rooms, etc. A regression analysis was performed in which the coefficient

for the area term in Equations 3 was related to the room use. The results

obtained for this case were as follows:

Mean Live Load (psf) = (9.5 - 0.00135A^)x^ + (10.7 - 0.00123A2)x2

+ (4.7 - 0.00216A3)X3 + (6.4 - 0.002^AI\^)x^

+ (26.3 - 0.00179Ag)Xg + (16.0 - 0.00067Ag)Xg

+ (22.4 - 0.01509A7)X7

^^^j

Mean Total Fire Load (psf) = (7.8 - 0.00129)x^ + (6.8 - 0.000085)x2

+ (5.2 - 0.00271)X3 + (6.1 - 0.0028)x4

+ (17.0 - 0.00038)X5 + (13.0 - 0.00179)Xg

+ (20.1 + 0.01680)X7

The results in Equations 4 indicate that the decrease in load with increasing

area is different for the various room uses. The decrease is largest for

lobbies and the load in libraries actually increases with increase in area.

Results from the regression analysis suggest that the variation of load with

area is related to room use. The trend observed in Figures 23 through 26 and

in previous surveys may be due to the fact that the smaller heavier rooms are primarily one type of room (e.g. file, storage) and the larger lighter rooms are another type. The influence of area on load magnitude requires further

study. Prior to developing live load reduction factors for design purposes,

it may be important to determine the degree to which the position of various room types is correlated. One would expect, for example, that the reduction

factor for areas comprised primarily of file rooms would be different from

that for areas comprised of general offices.

116
3.9 Evaluation of Load Models

In order to evaluate the load models, the majority of rooms were surveyed in Buildings 14, 24, and 27. These three buildings were selected prior to deriving the load models in Section 3.8. Their characteristics (height,

age, geographic location, occupancy) were similar to the other 20 buildings

used to develop the load models. As indicated in Section 3.3, only 25

percent of the rooms for each of these three buildings was combined with the

data for the other buildings to develop the load models in Section 3.8. The

evaluation procedure involved using the first load model (Equations 1 and 2 in Section 3.8) to calculate the loads in all the rooms in these three

buildings and then comparing these loads with the survey values. This was carried out using the BUILDER computer program discussed in Reference 6.

The results of the evaluation are given in Table 38 and Figures 37 through 41. Differences between the measured (surveyed) and calculated loads for each room

in the three buildings are summarized in Table 38 separately for each building

and for all the rooms. For Buildings 14 and 27 the mean value of the difference was negative, i.e. the measured loads were less than the calculated

values. For Building 24, the reverse was true. For the 863 rooms in the

three buildings the mean difference was less than 1 psf for live load. One

would expect this difference to approach zero as the number of buildings

considered increased.

The standard deviation for the difference between measured and calculated loads

for room loads was approximately the same as that for the load models in Section 3.8. This is also as expected since the variation in loads between

rooms in the three buildings was probably similar to that for the buildings

used to derive the load models.

Histograms illustrating the differences between measured and calculated loads

for the three buildings are given in Figures 37 through 40.

Differences between the measured and calculated values for the total load on each floor are also summarized in Table 38. Only loads for the offices sur- veyed were considered in obtaining these floe loads. Loads in unsurveyed

rooms, corridors, stairways, etc. were not coiisic'^red. The differences are ex- pressed in absolute terms (kips) and also as a percent difference. The histogram

for the oercentage difference for all the flor s in th'^ three buildings is given in Figure 41. ''is in the case of room loads, t!ie measured floor loads for

Buildings 14 and 27 were less than calculated (mean percent difference negative)

and those for Building 24 were greater. For all 39 floors in the three buildings,

the Hiean percent difference is 40 percent. The coefficient of variation for

the floor live loads (59/40 = 1.48) is greater than that for the load model

(Equation 1, Section 3.8).

Differences between the measured and calculated values for the total load in each building are also given in Table 38. As with room and floor loads, the

measured loads were less than calculated for Buildings 14 and 27. The mean percent difference for all three buildings was 8 percent.

117
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118
FREQUENCY -%

30

-25

20

-15

ROOM LOADS

- BUILDING 14 NO, OBS. = 291

MAX. VAL. - 52.3 PSF

MIN. VAL = -19.8 PSF

MEAN = -1.6 PSF

STD. DEV. - 8.3 PSF

-1 i_ n

-20 -15 -10 -5 0 5 10 15 20 25 30

MEASURED LIVE LOAD (PSF) - CALCUL;\TED LIVE LOAD (PSF)

Figure 37 - Difference Between Measured and Calculated

Room Live Loads--Building 14

119
FREQUENCY -%

20 T

15-

10-

ROOM LOADS

- BUILDING 24

NO. DBS. = 151 MAX. VAL = 35.7 PSF

MIN. VAL = -10.1 PSF

MEAN = 5.5 PSF

STD. DEV. = 7.4 PSF

-10 0 10 15 20 25 30 35

MEASURED LIVE LOAD (PSF) - CALCULATED LIVE LOAD (PSF)

Figure 38 - Difference Between Measured and Calculated

Room Live Loads--Bui Iding 24

120
FREQUENCY-%

30

-25

+ 20

-15

ROOM LOADS

- BUILDING 27

NO. DBS. = 421

MAX. VAL. = 38.2 PSF

MIN. VAL. = -22.3 PSF

MEAN = -2.8 PSF

STD. DEV. = 5.7 PSF

-15 -10 -5 0 5 10 MEASURED LIVE LOAD (PSF) - CALCULATED LIVE LOAD (PSF)

Figure 39 - Difference Between Measured and Calculated

Room Live Loads--Bui Iding 27

121
FREQUENCY -%

t25

- 20

15

-15 -10 -5

ROOM LOADS

- BUILDINGS 14, 24, 27

NO. DBS. = 863

MAX. VAL. = 52.3 PSF

MIN. VAL = -22.3 PSF

MEAN = -0.9 PSF

STD. DEV. = 7.6 PSF

5 10 MEASURED LIVE LOAD (PSF) - CALCULATED LIVE LOAD (PSF)

Figure 40 - Difference Between Measured and Calculated

Room Live Loads--Bui Idings 14, 24, and 27

122
FREQUENCY -%

t40

FLOOR LOADS

- BUILDINGS 14, 24, 27

NO. DBS. = 39

MAX. VAL. = 49%

MIN. VAL. = -142%

MEAN = -40%

STD. DEV. = 59%

30

-200 -150 -100

MEASURED FLOOR LOAD (LB)

-50 0 50

CALCULATED FLOOR LOAD (LB)

MEASURED FLOOR LOAD (LB)

XlOO

Figure 41 - Difference Between Measured and Calculated

Floor Live Loads--Buildings 14, 24, and 27

123
The comparison indicated that the loads in two of the three buildings were

less than the calculated loads and greater than the calculated values in one building. One would expect similar results if three other buildings from

the survey sample were used for comparison with the models. As the number

of buildings included in the comparison increases, the mean value for the

difference between measured and calculated loads should approach zero. In view of the inherent variability in loads from room to room, however, one would expect the standard deviation for this difference to be approximately

the same as that for the load models in Section 3.8. Similar results should occur for comparisons with other buildings not included in the survey if

the loads in the 23 buildings used to derive the load models are representative of those in the population of office buildings.

124
4. SUMMARY AND CONCLUSIONS

This survey was designed to identify the factors such as building height,

building age, geographic location, etc. which affect the magnitude of fire

loads and live loads in office buildings. A special survey technique and

data processing procedures were developed to economically and efficiently

collect data from a large number of buildings. Twenty-three office buildings

both Federal and private, from thoughout the United States were surveyed.

Buildings ranging in height from two stories to forty-nine stories were

included. The total number of rooms surveyed was 2433, of which 74 percent were general and clerical offices. The complete record of all the original

field survey data was retained on microfilm and will be available for

continuing studies and analysis.

Survey results were presented evaluating the influence of building characteristics (height, age, location), occupant characteristics (firm type), and room characteristics (room size, room use) on the magnitude of fire loads and

live loads. The data were utilized to develop mathematical models for predicting load magnitudes in office buildings. Recommendations were also developed

for additional research on loads in office buildings based on results obtained

from the survey.

Based on the survey results presented herein, the following conclusions were

obtained:

1. The measurement error associated with the inventory

technique used in this survey was approximately 10 percent. This represents a relatively small fraction

of the variability of live loads from room to room in office buildings.

2. The magnitude of the loads in rooms in office buildings

is not affected by the geographic location of the building,

building height, or building age.

3. There does not appear to be any significant difference

between loads in government and private office buildings.

4. The magnitude of room fire loads and live loads is related to the use of the room. Libraries, file rooms, and storage rooms were the most heavily

loaded. In general, the mean room load decreases

as the area of the room increases although room use and room area may be correlated. Further study is

required to establish the influence of area on load

magnitude.

5. The variation of load with time requires further study.

Although the mean load for the NBS Administration

Building increased over a period of seven years, there

was no clear indication of such a trend based on a comparison of mean load versus occupancy duration for

the other buildings surveyed.

125
6. There is a definite tendency for loads in offices to be

concentrated around the perimeter of the room.

7. Mean values of occupancy duration for government and

private firms were 8.4 years and 7.9 years respectively.

This difference is not statistically significant.

8. The interior finish fire load in a room ranged from

1.0 psf to 1,9 psf. The contribution of interior finish

to the total fire load ranged from less than five percent

to as high as fifty percent depending on room use.

9. The mean number of discrete concentrated floor loads in

the rooms surveyed was eighteen.

10. The 99 percent fractile for the heaviest load in a room

is quite close to the value currently used for designing

office buildings.

n. In the majority of offices surveyed, between 20 and 40

percent of the floor area was occupied by furniture and

equi pment.

126
5. Research Recommendations

Prior to undertaking any additional survey work or implementing the

research results obtained from this study, it is recommended that additional

analysis be done using the available data. The data have been summarized

herein in terms of means, standard deviations and range. Further analysis

should be undertaken to estimate tolerance limits and fractile values using

the means and standard deviations presented and assumptions regarding the

form of the distributions. The necessity for improving the accuracy of the

load models should be established and the implications of the survey results

relative to existing design requirements for buildings should be examined.

The survey data should also be used to assess design load magnitudes, live

load reduction factors, fire endurance requirements, etc. currently in use. A detailed plan for this activity should be prepared. As a minimum this

effort should include:

1. Determine horizontal and vertical correlation of

loads and room locations.

2. Establish the relationship between load magnitude

and loaded area.

3. Determine load magnitudes for typical structural

bay sizes and configurations.

4. Establish the characteristics of heavily loaded

rooms.

The relationship between load magnitude and area and horizontal and vertical

correlation of loads are particularly important since structural design

requires design loads for structural bays rather than room loads and a knowledge of the variation of load through the height of the building. If room boundaries correspond to the framing system layout, the room data

obtained in this survey can be used directly to establish structural bay

loads. The data may also be used to obtain values for the more general

situation where room boundaries and the framing system are not correlated.

Using the floor plan layout for the buildings surveyed (6) and the load

models developed in Section 3.8, loads could be calculated for the various

rooms. After assuming loads for areas not included in the model (lavatories,

corridors, etc.), the notional bay overlay concept used by Mitchell or an overlay of the exact framing system could then be used. An alternate

approach would be to use Monte Carlo simulation techniques to construct

floor plan layouts and framing system schemes, calculate the loads in the rooms using the load models in Section 3.8 and then calculate loads on the structural system using either the concept of tributary area or influ- ence area (15) . As part of this analysis, horizontal and vertical correlation

of loads would also be determined.

For each room surveyed, the computer program used for the data processing

computed a variety of important quantities (6). Simulation studies similar

to those in the appendix of this report could be carried out using these

data. For example, the effect of enclosing all combustibles, such as paper

and books, in metal containers could be evaluated by comparing the total

fire loads presented herein with derated values obtained from such a study.

The effect of changing the composition of office contents (replacing wood

furniture by metal, etc.) could also be studied. Limited Monte Carlo simulation studies of this type to determine fire severity were carried out by

Coward using existing survey data (16).

127
If additional survey work is done, the surveys should be carried out in

Government buildings. This would reduce the problems of obtaining survey

permission encountered in this survey. Based on results presented in

Section 3.8, loads in Government and private office buildings do not differ

significantly and the data obtained would be generally applicable. Also,

since the geographic location of the building does not affect load magnitude, the survey work could be concentrated in one locality to minimize

travel expenses for the survey crews. Data collected in the first phase

should be used to plan these additional surveys. Correlations between the

locations of rooms by room-use should be determined to establish a sampling

plan for gathering data on horizontal and vertical correlation of loads.

The characteristics of heavily loaded rooms could be determined to establish

a sampling procedure to obtain data to better define the "tail" of the

frequency distribution for load magnitude.

The survey forms, data collection procedures, and computer programs for data

processing developed as part of this project could also be used to monitor

the variation of loads with time. Periodically resurveying a particular

building would indicate the types of load changes taking place and permit

extrapolation for future requirements relative to live load and fire load

capacity. Data could also be collected for use in planning renovation and

rehabilitation work for existing buildings.

128
6. ACKNOWLEDGMENTS

The work reported herein was conducted by the National Bureau of Standards

for the National Academy of Sciences. The survey project was sponsored by

the General Services Administration. Special recognition is due GSA for

the initiative and foresight demonstrated by their sponsorship of this

work. The cooperation and advice of the project advisory committee established by the National Academy of Sciences: Charles Schaffner, Chairman,

Syska and Hennessey Consulting Engineers; Richard Bletzacker, Ohio State

University; William Christian, Underwriters Laboratory; Dr. Howard Emmons,

Harvard University; Dr. T. T. Lie, National Research Council (Canada);

Lawrence Seigel, United States Steel Corporation; and James Smith, Building

Research Advisory Board, is also acknowledged.

A report prepared for NBS by Professor C. Allin Cornell, Massachusetts

Institute of Technology, formed the basis for preliminary planning of

the survey. The following NBS staff contributed to the project: Newton

Breese and Daniel Gross, Center for Fire Research; Leighton Greenough and

Robert McCabe, Center for Consumer Product Technology; William Greene and

Bruce Ellingwood, Structures Section; and Dr. Joan Rosenblatt, Applied

Mathematics Division. Dr. Rosenblatt's contribution in connection with

various aspects of the survey design and data analysis is particularly

acknowledged. Dr. Rosenblatt and Ms. Delmas Maxwell, from the Statistical

Engineering Section, carried out the analysis of the inventory survey

technique included in Section 3.2. Irwin Benjamin, Center for Fire Research,

assisted in obtaining survey permission for a number of buildings. Samuel

Kramer, Acting Deputy Director, Center for Building Technology, provided

continual support and administrative assistance throughout the course of the

work. Professor James Yao, Purdue University, also contributed to the

initial phase of the project. Special acknowledgement is due Ms. Leslie

Suddueth for the care exercised in typing the report.

The field survey was carried out by Mathis Associates, Fresno, California,

under the supervision of NBS staff. Professional staff from the J. H. Wiggins

Co., Redondo Beach, California, developed the data reduction and analysis

programs and participated in the analysis of the survey data. The assistance of Larry Lee, Joseph Hirschberg, and Jon Collins is particularly

acknowledged. The Monte Carlo analysis of live load effects in the

Appendix was carried out by Professor Gary Hart, University of California,

Los Angeles, under the direction of the author. The assistance of Erne

Wilkins, FOSDIC Branch, Engineering Division of the Bureau of the Census, was

helpful in connection with the data processing.

The Building Owners and Managers Association cooperated in the project and

Robert Wiggs, of BOMA, assisted in securing permission to survey a number of

the buildings in the private sector. Survey permission for the government

buildings was obtained through the Public Buildings Service, GSA.

129
7. REFERENCES

1. America Burning , The Report of the National Commission on Fire

Prevention and Control, May 4, 1973.

2. Heany*, Alexander C, "A Reliability-Based Study Concerning Live Loads

and Codified Structural Design," Thesis presented to the University

of Waterloo, Waterloo, Ontario, Canada, 1971, in partial fulfillment

of the requirements for the degree of Doctor of Philosophy.

3. Ingberg, S. H.; Dunham, J. W. ; Thompson, J. P., "Combustible Contents

in Buildings," Building Materials and Structures Report 149, National

Bureau of Standards, Washington, DC, 1957.

4. Bryson, J. 0.; Gross, D., "Techniques for the Survey and Evaluation

of Live Floor Loads and Fire Loads in Modern Office Buildings," NBS

Building Science Series 16, December 1967.

5. Culver, Charles; Kushner, Jill, "A Program for Survey of Fire Loads

and Live Loads in Office Buildings," NBS Technical Note 858, May

1 975.

6. McCabe, Robert; Culver, Charles; Lee, Larry T.; Hirschberg, Joseph G.,

"Data Processing and Data Analysis Procedures for Fire Load and Live

Load Survey Program," NBSIR 76-982, December 1975.

7. Natrella, Mary G., Experimental Statistics , Handbook 91, National

Bureau of Standards, U.S. Department of Commerce, 1962.

8. Mitchell, G. R. ; Woodgate, R. W., "Floor Loadings in Office Buildings - The Results of a Survey," Current Paper 3/71, Building Research Station,

England, January 1971

.

9. Dixon, Wilfrid J.; Massey, Frank J. Jr., Introduction to Statistical

Analysis , Third Edition, McGraw-Hill, 1969.

10. Conover, W. J., Practical Nonparametric Statistics , Wiley, 1971.

11. Standard Industrial Classification Manual , U.S. Bureau of the Budget,

Office of Statistical Standards, Washington, DC, 1967.

12. Benjamin, J. R. ; Cornell, C. A., Probability, Statistics, and Decision

for CI v1 1 Engineers , McGraw-Hill Book Company, New York, 1970.

13. Lie, T. T., Fire and Buildings , Applied Science Publishers Ltd., London,

1972.

130
14. Lie, T. T.; Stanzak, W. W., "Structural Steel and Fire-More Realistic

Analysis," ASCE National Structural Engineering Meeting, April 22-26,

1974, Cincinnati, Ohio, Preprint 2256.

15. McGuire, Robin K. ; Cornell, C. Allin, "Live Load Effects in Office

Buildings," Journal of the Structural Division, ASCE, Vol. 100, No. ST 7, Proc. Paper 10660, July 1974, pp. 1351-1366.

16. Coward, Sara K. D. , "A Simulation Method for Estimating the Distribution

of Fire Severities in Office Rooms," Current Paper 31/75, Building

Research Establishment, Fire Research Station, Borehamwood, England.

17. "Fire Resistance Classifications of Building Constructions," Building

Materials and Structures Report 92, National Bureau of Standards,

Washington, D.C., October 1972.

131
8. APPENDIX

STRUCTURAL INFLUENCE

OF LIVE LOAD LOCATIONS

In order to simplify the data collection procedure in this survey, only

approximate locations were obtained for the loads in the rooms, i.e. loads were recorded as to whether they were within two feet from the walls. An analysis of the effects of fire load location on fire severity and heat transferred to the bounding surfaces (floor, walls, ceiling) indicated that this

approximate scheme was satisfactory (4). Studies of the influence of this

procedure on the computation of forces in the structural system of a building

indicated that the accuracy used to locate the loads in a room has an effect

on the structural member forces computed from these loads (4). These studies were limited, however, and did not consider the full range of cases encountered

in actual buildings. The analysis presented in this appendix is more general

and is intended to evaluate the adequacy of the survey procedure from the standpoint of live load effects.

PROBLEM FORMULATION

Live loads in offices due to furniture, equipment, etc., will be arranged in

various ways depending upon the configuration of the room, occupant preference

and the nature of the work being conducted. The exact location of these items

is of interest in planning work flow, movement of the occupants and other con- siderations relative to efficient space utilization. For structural design

purposes, however, load locations are only important with respect to their effect

on the structural system. The most appropriate way of evaluating these effects

is through the use of influence surfaces (3, 5).

Recognizing that precise locations of office loads may not be required for

structural design purposes, the approximate load location scheme shown in Figure

Al was adopted for the 1967 NBS load survey. Each office was subdivided into

the nine sectors shown and the load for each item in the room assigned to one

of the nine sectors. The dimensions of the strips were consistent with the

definitions used in designing two-way flat slabs. It should be emphasized that

the rationale used to establish this sector configuration assumes that the

boundaries of the room correspond to the column lines for the structural system.

This correlation has not been established and in many cases rooms in office

buildings are smaller than structural bays. In other cases such as office landscaping, the rooms are larger than one structural bay.

Corotis' study of the adequacy of the sector arrangement in Figure Al (2) and

Yao's study of other sector arrangements (4) were limited to the case in which

the room and structural bay were equal in size. For the study reported herein,

a Monte Carlo simulation was carried out to evaluate the influence of various

approximate load location schemes. The procedure followed was similar to that

used by Corotis. Using influence surfaces, the forces and moments in the columns

132
[-»b/4»j h»b/4-H

Figure Al - Approximate Load Location Scheme

(1967 NBS Survey)

133
of the vertical load carrying system were determined using both the exact

load locations and approximate locations. Whereas Corotis used only the survey

data obtained from one building (2), this study includes a variety of parameters

The room and bay configurations adopted are shown in Figure A2. The four

columns represent a structural bay. Forces and moments in all cases were com- puted for column 1. Two cases were considered for the room location. For Case I one corner of the room coincided with a corner of the structural bay. For Case II the room was located in the center of the bay. In each case the room dimensions were taken as a percentage of the bay dimensions. The limiting

case involved a room equal in size to the structural bay. The case of a room larger than a structural bay was not considered.

Four different schemes were used for subdividing a room. These are shown in

Figure A3 and will be referred to as the one-sector, two-sector, five-sector,

and nine-sector model. The nine-sector model is the one used in the 1967

NBS survey and the two-sector model the one adopted in the current survey,

i.e. in the current survey load locations are only recorded as either being

within 2 feet of the wall or greater than 2 feet from the wall.

The number of loads, load magnitude, and the location of the loads in a room were varied over a wide range. This was done in order to investigate the

significance of various load arrangements as opposed to using limited survey

data. The number of loads was treated as a random variable with a normal probability density function. Most previous surveys have not reported values for

this quantity. Data from the 1967 NBS survey indicated an average of nine

loads per room and Corotis' studies were based on this value. Only loads

corresponding to heavy furniture items (desks, tables, etc.) were considered

and loads due to chairs, wastebaskets , etc. were neglected. The majority of

2 2 rooms in that survey, however, were between 150 feet and 200 feet . For larger rooms one would expect a larger number of loads. The current survey

indicated that a typical room contained more than nine discrete loads. For

the case of a room equal in size to a structural bay a mean value of sixteen

loads was used. The case of thirty-two loads was also considered to determine

the effect of this parameter. For a smaller room with an area equal to approximately one-half the area of the structural bay, mean values of eight and sixteen

loads were considered. Since the current survey data indicated considerable

scatter, a coefficient of variation of 50 percent was used.

Load magnitude was also treated as a random variable. The 1967 NBS survey data

indicated that the load per unit area on the individual sectors could be represented by a series of gamma probability distributions (2). The probability

distribution of the load per unit area for a complete room, however, was approxi

mately normal. Mitchell's data (6) indicated a similar trend. A normal

distribution was used, therefore, for the load magnitude in this study. A log

normal distribution was also considered to evaluate the effect of this parameter

Data on individual load magnitudes were not given in previous studies. Corotis

used a mean value of 245 lb. and a standard deviation of 80 lb. In this study

134
1 4i

CASE II

Figure A2 - Room and Bay Configurations

135
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136
a mean va''ue of 100 lb. was used since all the items in a room were con- sidered. :>ince the data showed considerable scatter with loads as low as 5-10 lb. (wastebaskets) and as high as several hundred pounds for heavy

furniture, a coefficient of variation of 50 percent was used. A value of

150 percent was also used for the coefficient of variation.

The location of the loads in the room was also treated as a random variable.

A uniform distribution of loads throughout the room was used with the expected

value of the number of loads in each sector being the same. This corresponded

to the case studied by Corotis (2). Since the current survey indicated a tendency for discrete loads to be located around the perimeter of the room, particularly for smaller rooms, a second case with 70 percent of the discrete

loads around the perimeter and 30 percent in the center portion of the room was also studied. The placement of loads was random and a uniform distribution throughout each portion was used. Since the discrete loads used represent

the load at the center of gravity of the furniture item, a constraint was required to represent the practical case with a finite spacing between items.

In all cases, the location of each load rela*'"ve to the other loads and the

boundaries of the room was constrained to bt -eater than two feet. This

minimum value was based on the "average" size of office furniture.

The effects of the variables noted on the axial force and moments for Column 1 in Figure A2 were studied using influence surfaces. The forces were computed

using the influence ordinate for each load location and also using the average

influence ordinate for the various sectors for all loads in that sector. The same approximate influence surfaces as used by Corotis (3) and Peir (7) were

used in this study. The difference between the forces computed using the exact

and approximate locations provides an indication of the "error" associated with

using subdivisions for a room as opposed to exact load locations (3). Since

the ratio of these forces or the percent difference provides a better indication

of the relative error than simply the difference, results presented in the next

section are expressed in this form.

A special computer program was written to carry out this study. The program was written to allow considerable flexibility in order to investigate a variety of

combinations of room and bay proportions, number of loads, load magnitude, and

load location.

137
NUMERICAL RESULTS

The computer program was first used to solve Corotis' and compare the results

with those from the closed form solution. This comparison is given in Table 1 for column axial load and column moments. For this problem the room was equal

in size to the bay and there were exactly nine loads. The mean value and

coefficient of variation were the same as those used by Corotis (2). A normal

distribution was assumed for load magnitude in the Monte Carlo solution. The

closed form solution of Corotis was independent of this parameter and utilized

only the mean and standard deviation. A uniform probability of occurrence was used for the position of the nine loads throughout the room. The ratio of the mean column load computed using the nine-sector model and the exact load location is given. Since no attempt was made to determine the probability density

function for this ratio, the interval (X-j, X^) for which the probability that

the error in the computed column load due to using sectors is less than some value a, P[X-j <_ P^/P^ 1 X^] = 1 - a, was not determined. To provide a qualitative estimate for other than the mean error, the column load ratio using the

exact and approximate load locations was computed for one, two and three standard

deviations.

Referring to Table 1, the ratio for the mean column load for the two solutions

differs by only one percent. The difference for the moment ratio is slightly

higher. The two moment ratios for the Monte Carlo solution correspond to the

moments about the x and y axes, respectively. Only the moment about the y axis was computed by Corotis. As the number of standard deviations increases, the

difference between the column loads obtained using sectors versus the exact

load location increases for both solutions. The differences between the two solutions also increases with the maximum difference being 12 percent for the

moment about the x axis at three standard deviations.

The influence of the number and distribution of the loads in the room on the

column load and moment ratios are presented in Table 2. The single ratio given

for moments corresponds to the worst case, i.e. the lowest ratio. Sixteen and

thirty-two loads were used with a uniform probability for the load location.

Since the survey results indicated that the furniture in rooms is usually

located around the perimeter, the case with seventy percent of the loads

around the perimeter and the remaining thirty percent in the center portion

was also studied. For all the cases in Table 2, the error in the mean column

load is less than one percent. The influence of the number of sectors does

affect the mean column moment but the differences are not significant from the

practical standpoint. For axial load, the results obtained for one and two sectors were the same. The error increases with the number of standard deviations. For sixteen loads the ratio decreases from 0.871 at one standard deviation

to 0.729 at three standard deviations. As expected, the error decreases as the

number of sectors is increased. The maximum error for the two-sector model at three standard deviations is 27 percent and 5 percent for the nine-sector model.

Comparing the results for 16 and 32 loads indicates that the error decreases as the number of loads increases.

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The load distribution also affects the error. For 16 loads the error is less for the case of 70 percent of the load around the perimeter than for a uniform distribution. The decrease due to this effect is less significant

for 32 loads.

For column moments in Table 2, the error for the mean is greater than for axial

loads. Unlike the case for axial load, the results for one and two sectors

are different. The mean is also more sensitive to the number of sectors. For one, two and three standard deviations, however, the number of sectors is less

significant. For example, with 16 loads and a uniform distribution the axial

load ratio at three standard deviations changed from 0.729 for one sector to 0.948 for nine sectors (30 percent) while the moment ratio only changed by 16 percent from 0.752 to 0.869. As with axial load, the error increases with the

number of standard deviations. Note that in some cases, however, the ratio

is greater than one indicating that the moments obtained using sectors would

be greater than those obtained from the exact load location. As with axial

load, the errors decrease for the case of 70 percent of the loads around the

perimeter.

The influence of room size is indicated in Table 3. For this case the room dimensions were 75 percent of the bay dimensions, i.e. the room area was 56 percent of the bay area. The room was located in the corner of the bay,

Figure A2-Case I. This corresponds more closely to the situation in office

buildings since the mean room area for the offices surveyed was approximately

2 2 200 ft and common structural bay sizes are around 400-600 ft . The load distribution and magnitude were the same as those used in Table 2. The number

of loads was reduced, however, for this smaller room since the survey data

indicated the mean number of loads in a room this size was 18. The results

in Table 3 are similar to those in Table 2 and the same trends occur. The errors for this case are much less, however. For 16 loads and a uniform load

distribution, the axial load ratio for one sector at three standard deviations

was 0.729 in Table 2. This ratio increased to 0.878 in Table 3. The errors occurring as a result of using sectors is thus directly related to the size of

the room relative to the structural bay. For the case encountered in this sur- vey (16 loads, 70% around perimeter, room area bay area/2), the maximum axial

load and moment error for the two-sector model is 7 percent. This error is

negligible from the practical point of view when one considers inherent measure- ment errors in any survey technique and the fact that furniture loads are not single concentrated loads.

The influence of room location is shown by comparing Table 3 to Table 4. The

parameters used were the same as those for Table 3 except that the room is located in the center of the structural bay. The error associated with using

sectors is greater in this case than for the room in the corner of the bay. For 16 loads, uniform distribution and three standard deviations, the axial

load ratio changed from 0.878 in Table 3 to 0.799 in Table 4. This is as expected since the column load influence surface gradient is steeper near the

middle of the bay than near the corner and consequently calculations of the

column load are more sensitive to the position of loads in the room. For the

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practical case of 16 loads with 70 percent located around the perimeter,

the column load error at three standard deviations is 16 percent for two sectors versus only two percent for nine sectors. The results in Table 3 and 4 indicate that errors in structural load effects associated with the use of sectors are sensitive to the location of the room relative to the

structural framing system.

The influence of the manner in which the loads are distributed in the room

is illustrated in Table 5. Results for the uniform distribution and 70 percent

around the perimeter were presented earlier in Table 2. An additional case in

which most of the load is in the center portion (30 percent around perimeter) was also considered. The errors for the cases with 70 and 30 percent around

the perimeter are much less than for the uniform distribution. The error due

to using sectors does not appear to be sensitive to the load distribution in

the room for practical distributions, i.e. for load distributions other than

uniform. The results using a lognormal distribution for load magnitude are similar to those for the normal distribution. Errors due to using sectors do

not appear to be sensitive to the form of the load magnitude frequency distribution.

The results in Table 6 for the case in which the area of the room is approximately

half the area of the bay are similar to those in Table 5. In this case the errors

are less sensitive to the load distribution.

The influence of the variability of load magnitude is indicated in Table 7. Using a normal distribution for the load magnitude, coefficients of variation

of 0.5 and 1.5 were considered. In each case the error due to using sectors

decreased as the variability increased. For example, the column load error at three standard deviations for one sector decreased from 0.729 to 0.774 for the room equal in size to the structural bay.

CONCLUSIONS

The results presented herein indicate that errors in structural load effects

computed using approximate load locations (sectors) are sensitive to the distribution of the loads in the room, the size of the room relative to the

structural bay and the location of the room relative to the structural framing

system. The errors occurred primarily in the standard deviation and mean values

for the structural loads were not significantly affected. The error for column

moments is more sensitive than the axial load error. The influence of the

number of loads and the form of the load magnitude frequency distribution was

less significant. In most cases, the column load error decreased as the number

of sectors increased. The error in column moment was more erratic and in some

cases increased as the number of sectors increased. For nine sectors, the error in the column load was less than six percent in all cases considered.

The maximum error at three standard deviations in column moment for nine sectors

was 13 percent. For five sectors the maximum errors at three standard deviations

in column load and moment were 17 percent and 20 percent respectively. The

maximum errors at three standard deviations for two sectors were 27 percent.

144

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It is clear that column loads computed using survey data in which the load

locations are determined approximately will be less than those computed using

exact load locations. Using two, five, or nine sectors the errors for the mean column load and moment should be less than three percent and ten percent,

respectively. For extreme values (mean plus N standard deviations) these errors

will increase. Since the errors associated with sectors are related to the

size of the room relative to the structural bay and the location of the room relative to the framing system, it would be advisable to record the location

of the framing system in such surveys to assess the relative errors. The

computer program employed herein could then be used to assess the error and

possibly develop appropriate correction factors to account for this effect.

148
The following symbols are used in this appendix:

a width of structural bay;

b length of structural bay;

1 number of sectors;

m mean value;

column moment using exact load location;

^Si

= column moment using i sectors;

N number of discrete loads;

column load using exact load location;

Psi

= column load using i sectors;

s standard deviation;

V coefficient variation;

a aspect ratio for structural bay, a/b; and

B ratio of room dimensions to bay dimensions

149
REFERENCES FOR APPENDIX

1. Bryson, J. 0.; Gross, D., "Techniques for Survey and Evaluation of

Live Floor Loads and Fire Loads in Modern Office Buildings,"

Building Science Series 16, National Bureau of Standards, Washington,

D.C. , December 1967.

2. Corotis, R. B., "Statistical Measurement and Prediction of Building

Design Loads," Thesis presented to the Massachusetts Institute of

Technology, at Cambridge, Massachusetts, in 1968, in partial fulfillment of the requirements for the degree of Master of Science.

3. Corotis, Ross B., "Statistical Analysis of Live Load in Column

Design," Journal of the Structural Division, ASCE, Vol. 98, No. ST 8, Proc. Paper 9123, August 1972, pp. 1803-1815.

4. Culver, Charles; Kushner, Jill, "A Program for Survey of Fire Loads

and Live Loads in Office Buildings," Technical Note 858, National

Bureau of Standards, Washington, D.C, May 1975.

5. McGuire, Robin K. ; Cornell C. Allin, "Live Load Effects in Office

Buildings," Journal of the Structural Division, ASCE, Vol. 100,

No. ST 7, Proc. Paper 10660, July 1974, pp. 1351-1366.

6. Mitchell, G. R.; Woodgate, R. W., "Floor Loadings in Office Buildings - The Results of a Survey," Current Paper 3/71, Building Research

Station, England, January 1971.

7. Peir, Jong-Cherng; Cornell, C. Allin, "Spatial and Temporal Variability of Live Loads," Journal of the Structural Division, ASCE,

Vol. 99, No. ST 5, Proc. Paper 9747, May 1973, pp. 903-922.

150
klBS-114A (REV. 7-73) u.b.»utKi . ui- i.,uMM. i_ Pui^LlCATlON OR RF.FORT NO. 2. Ciov t Accession

'''''°''sh'e''eT '^'^ NBS BSS-85

3. Recipient's Accession No.

4. TITLE AND SUBTITLE

Survey Results for Fire Loads and Live Loads in Office

Buildings

5. Publication Date May 1976

6. Performing Organ i zat ion Code

460.03

7. AUTHOR(S)

Culver, Charles G.

8. Performing Organ. Report No.

9. PERFORMING ORGANIZATION NAME AND ADDRESS

NATIONAL BUREAU OF STANDARDS

DEPARTMENT OF COMMERCE

WASHINGTON, D.C. 20234

10. Project/Task/Work Unit No. 460-5506

11. Contract /Grant No.

BRAB 27-73-53

12. Sponsoring Organization Name and Complete Address (Street, City, State, ZIP)

Public Buildings Service National Academy of Sciences

General Services Administration Bldg. Research Advisory Board

Washington, D.C. 20405 2100 Pennsylvania Avenue

Washington, D.C. 20418

13. Type of Report & Period Covered

Final June 197 3-

December 197

S

14. Sponsoring Agency Code

31da. Research Advisory

15. SUPPLEMENTARY NOTES Board

Library of Congress Catalog Card Number: 76-608115

16. ABSTRACT (A 200-word or less factual summary of most si^ifleant information. If document includes a significant

bibliography or literature survey, mention it here.) Fire load and live load data obtained from a survey of 23 office buildings located

in various regions throughout the United States are presented. The survey design

is described including the characteristics of the building population used to select

the sample. Data are presented on the magnitude and distribution of the loads.

Information is also included on the characteristics of office loads such as the type

of items (furniture, equipment, etc.) and their properties (material type, dimensions

exposure, etc). Statistical summaries of the data and a determination of the building and occupancy characteristics affecting these loads are presented. The data do

not indicate any significant differences between the loads in private and government

buildings. Similarly, geographic location, building height, and building age were

not found to have a significant influence on load magnitude. The use of the rooms surveyed, however, did affect load magnitude. A mathematical model developed from

a regression analysis of the survey data is presented for calculating fire loads and

live loads in offices. The data presented may be used to evaluate current requirements for design loads for buildings.

17. KEY WORDS (six to twelve entries; alphabetical order; capitalize only the first letter of the first key word unless a proper name; separated by semicolons)

Buildings; fire loads; load surveys; occupancy live loads; Structural engineering.

18. AVAILABILITY \^ Unlimited

1 1 For Official Distribution. Do Not Release to NTIS

1 1 Order From Sup. of Doc, U.S. Government Printing Office Washineton. D.C. 20402. SD Cat. No. CU. 29/2: 85

IX 1 Order From National Technical Information Service (NTIS)

Springfield, Virginia 22151

19. SECURITY CLASS

(THIS REPORT)

UNCL ASSIFIED

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PERIODICALS JOURNAL OF RESEARCH reports National Bureau

of Standards research and development in physics,

mathematics, and chemistry. It is published in two sections, available separately:

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design and programming of computers and computer

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scientists, engineers, businessmen, industry, teachers,

students, and consumers of the latest advances in science and technology, with primary emphasis on the work at NBS. The magazine highlights and reviews such

issues as energy research, fire protection, building tech- nology, metric conversion, pollution abatement, health and safety, and consumer product performance. In addition, it reports the results of Bureau programs in measurement standards and techniques, properties of matter and materials, engineering standards and services, instrumentation, and automatic data processing.

Annual subscription: Domestic, $9.46; Foreign, $11.86.

NONPERIODICALS Monographs—Major contributions to the technical liter- ature on various subjects related to the Bureau's scientific and technical activities. Handbooks—Recommended codes of engineering and

industrial practice (including safety codes) developed

in cooperation with interested industries, professional

organizations, and regulatory bodies.

Special Publications—Include proceedings of confer- ences sponsored by NBS, NBS annual reports, and other

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Applied Mathematics Series—Mathematical tables, manuals, and studies of special interest to physicists,

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National Standard Reference Data Series—Provides

quantitative data on the physical and chemical properties of materials, compiled from the world's literature and critically evaluated. Developed under a world-wide

program coordinated by NBS. Program under authority

of National Staadard Data Act (Public Law 90-396). NOTE: At present the principal publication outlet for these data is the Journal of Physical and Chemical

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by the American Chemical Society (ACS) and the American Institute of Physics (AIP). Subscriptions, reprints, and supplements available from ACS, 1165 Sixteenth

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Building Science Series—Disseminates technical infor- mation developed at the Bureau on building materials,

components, systems, and whole structures. The series presents research results, test methods, and performance criteria related to the structural and environmental functions and the durability and safety characteristics of building elements and systems.

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administers this program as a supplement to the activities of the private sector standardizing organizations. Federal Information Processing Standards Publications (FIPS PUBS)—Publications in this series collectively constitute the Federal Information Processing Standards Register. Register serves as the official source of information in the Federal Government regarding stand- ards issued by NBS pursuant to the Federal Property

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The following current-awarenesa and literature-survey

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Cryogenic Data Center Current Awareness Service A literature survey issued biweekly. Annual subscription: Domestic, $20.00; foreign, $25.00.

Liquefied Natural Gas. A literature survey issued quarterly. Annual subscription: $20.00. Superconducting Devices and Materials. A literature

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Send subscription orders and remittances for the preceding bibliographic services to National Bureau of Standards, (Cryogenic Data Center (275.02)

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