Federal Building and Fire Safety Inves

of the World Trade Center Disast

Baseline Structural Performance 

Impact Damage Analys

September 14, 2005

Fahim Sadek

Building and Fire Research Labo

National Institute of Standards and Tec

U.S. Department of Commerce

fahim.sadek@nist.gov
Disclaimer Disclaimer

Certain commercial entities, equipment, producare identified in this document in order to descror concept adequately or to trace the history of and practices used. Such identification is not irecommendation, endorsement, or implication products, materials, or equipment are necessaavailable for the purpose. Nor does such identfinding of fault or negligence by the National InStandards and Technology.
Contributors Contributors

• Contractors

 A team of experts from Leslie E. Robertson Assoc

development of the structural databases, referencand the baseline performance analysis of the WTC 

William J. FaschanLeslie E. Robertson Richard B. GarlockWilliam C. Howell Seung-Je Lee Raymond Lai Gayle Katzman

 A team of experts from Skidmore, Owings, and Me

party review of the structural databases, reference performance analysis, and the refined NIST estimloads on the towers.

William F. BakerJohn J. ZilsRobert C. Sinn
Contributors Contributors

• Contractors

 A team of experts from Applied Research Associa

of aircraft impacts into the WTC towers.

Steven W. KirkpatrickRobert T. BocchieriRobert A. MacNeillSamuel HolmesBrian D. PetersonRobert W. CilkeClaudia Navarro

 Dr. David M. Parks: provided expertise in the are

mechanics for the aircraft impact analysis.
Contributors Contributors

• NIST

 Dr. Emil Simiu: provided the wind engineerin

required for the development of the wind loadtowers.

 Dr. Michael A. Riley and Dr. William P. Frit

preliminary stability analyses of the towers. Dparticipated in the wind study.
Scope of Project Scope of Project

• Baseline Performance

 Develop reference structural models of the WT Establish the baseline performance of the towe

loading conditions (gravity and wind).

• Aircraft Impact Damage

 Simulate aircraft impacts into the towers to esti

damage to structural, mechanical, and architec

establish the initial conditions for the fire dyna(Project 5) and thermal-structural response ainitiation analysis (Project 6).
Baseline Performance of the Towe

Baseline Performance of the Towe

• Tasks

 Develop structural databases of primary structural 

each of the two towers

 Develop reference structural models of the WTC t

• Typical floor models• Global models of the towers

 Develop estimates of design wind loads on each o

and evaluate current codes, standards, and practi

 Establish baseline performance under wind and g

• Demand/capacity ratios for components and connectio• Total and inter-story drifts (building sway under design 
Baseline Performance of the Towe

Baseline Performance of the Towe

 The baseline performance of the WTC towers under 

loads was established in order to assess the towers’ those loads safely, and to evaluate the reserve capawithstand unanticipated events such as a major fire o

 Wind loads were a governing facto

r in the design of t

components that made up the frame-tube steel framiload capacity is also a key factor in determining the otowers and is important in evaluating:

• The baseline performance of the WTC towers• The reserve capacit

y of the structures to withstand unanticipate

• Design practices and procedures that were used

 Accurate e

stimation o

f the wind load o

n tall buildings 

task. The state of knowledge in wind engineering is 
Structural Databases Structural Databases

Steps

 Scanning and digitization of the original drawing books A four-step quality control procedure

• First check during OCR process• Second check: random, but methodical check by an engi• Third check: ‘cross-check rectify’

 Programmatically compare with database devel

ope

leaseholder of the tow

ers

• Final review

 Cross section property calculations Development of the relational databases, using Micros

generated database files into a format suitable for the 

structural global model

s
Structural Databases Structural Databases

• WTC DB Development: Modifications to DB

Modifications t

o M

embers of t

he WTC-D

B

Item 

S

ummary Tower Element Floor 

ElemeEffecte

1 

Core Col

umn 

Rei

nforci

n

g

A and B

Numerous 98-106 

Core Col

um

2 

Fiduci

ary B

ank 

V

ault B

Col. 508Band Col.1008B 97-45 

Core Col

um

3 

B

ombi

n

g of 26 

F

ebruary 1993 - 

Repai

r A

Col. 324,BracingG313A and G304A

B2Le

v

el

PerimeCol

um

and Bracin

4 EXCO Stair 

A Col. 901A 26 

Core C

olum
Structural Databases Review Structural Databases Review

• Skidmore, Owings & Merrill (SOM) third-party review

 Random checks of digitized databases and cross section pr Result:

• No discrepancies were found

• NIST In-house Review

 Line-by-line review of all files Random checks by project leader Calculate all cross section properties and compare with LER Result:

• Minor discrepancies were identified between the LER

A

D

B 

o Examples: Book 1, entry 207 should be 287

Book 3, entry 3010 should be 301D

• No discrepancies were found for cross section properties
Reference Structural Models Reference Structural Models

• Task objective: Use structural databases to develop re

element structural models of the towers. Models deveSAP2000 Version 8, and included:

 Typical floor models Global tower models

• Models were used:

 to establish the baseline perfor

mance of the towers unde

wind loads

 as a reference for more detailed models used in the airc

(Project 2) and thermal-structural response and collapse (Project 6) 
Reference Structural Models Reference Structural Models

Floor models:

 3-D models of typical floor systems:

• A truss floor system (96th floor of WTC 1)• A mechanical floor (75th floor of WTC 2)

Type 1 - WTC Typical Truss Floor Panel Plan

Tower A Floors: 10 - 24 60 - 66 Tower B Floors: 14 

26 - 40 68 - 74 26 50 - 58 84 - 91 50 

93 - 105

Note: All panel types within 1" length tolerance, except floors 10,11, 39, 40, 7

FR1

ER1 DR1 CR1

B

R1 A1 B1 

Note: H1 = H6Note: HR1 = HR6 

F1

E1 D1 C1 B1

A1 BR1 C

G1

CO

R

E

HI 

J1 

HR1 

GR1

Typical tenant Typical tenant floor systems floor systems
Floor Systems: Floor Systems: Floor 96 Floor 96-A Model
Floor Systems: Floor Systems: Floor 75 Floor 75-B Model
Global Tower Models Global Tower Models

3-D models of the 110-story structure and basement floor

each of the two towers

Models included:

 Core columns  Exterior walls

• Foundation to floor 7• Trees (transition from 3’-4 to 10’-0 col. spacing• Floor 9 to 106• Floor 107 to roof

 Hat truss Rigid floor diaphragms Flexible floor diaphragms
Modeling of Exterior Panels Modeling of Exterior Panels

E

Detailed shell model of an exterior panel
Modeling of Floor Diaphragm Modeling of Floor Diaphragm

Equivalent floor diaphragm to capture the in-plane stiffness of the floor system
Global Tower Models: Below Floor 9 Global Tower Models: Below Floor 9
Global Tower Models: Hat Truss Global Tower Models: Hat Truss 
Reference Structural Models Reference Structural Models

Mo

d

el 

Num

b

e

r of

Joint

s

Degr

e

e

s of 

Fre

e

d

om 

Num

b

e

r of

F

rame Elem

e

nts

N

S

he

W

TC 1 glo

b

al m

o

d

el 53,

7

0

0 218,700 73,

9

0

0 

W

TC 2 glo

b

al m

o

d

el 51,

2

0

0 200,000 73,

7

0

0 

Typi

c

al t

russ-fram

e

d

m

o

d

el 28,10

0 166,000 27,

7

0

0 

Typi

c

al b

eam-fr

a

m

ed 

m

o

d

el 6,500 35,

7

0

0 7,500 
Structural Models Review and Va

Structural Models Review and Va

SOM Third-party Review

 Consistency with original design

• Random checks

 Verification/validation of models

• Review assumptions and level of detail• Perform analyses using various loading cond

accuracy of the models

NIST In-House Review

 Consistency with original design

• Models geometry / cross section properties• Material properties

 Verification/validation of models

• Review assumptions and level of detail• Perform analyses using various loading cond

accuracy of the models

 Workshop for NIST investigators and contractors 

to review the reference models
Review of Reference Structural M

Review of Reference Structural M

 Modeling assumptions and level of detail in the models 

accurate and suitable for the purpose of the project.

 Reviews indicated minor discrepancies between the de

models and the original design documents.

 Identified two areas where the models needed to be mo

• The effect of additional vertical stiffness of the exte

the presenc

e of t

he spandrel beams

• Modeling of the connections of the floor slab to the 

typical beam-framed floor model, where this connefixed while the connection should be modeled as p

 The minor discrepancies and the areas identified for mo

reported to LERA who implemented the changes and macc

ordi

ngly.

 The ref

erence structural m

odels were approved by NIS

for other phases of the NIST investigation.
Calculated frequencies and periods wit Calculated frequencies and periods without P-∆ effects for 

WTC 1

W

Frequency

Period

F

(Hz) (s) 

N–

S 1 0.088 11.4

2 

E–W

2 0.093 10.7 1 

Torsion

3

0.192 5.2

3 

N–

S

4 0.233 4.3

5 

E–W

5 0.263 3.8

4 

Torsion

6

0.417 2.4

6 

Mode Mode

Direction of

Motion

Calculated frequencies and periods with P-∆ effects for the 

WTC 1

W

Frequency

Period

F

(Hz) (s) 

N–

S 1 0.083 12.1

2 

E–W

2 0.088 11.3 1 

Torsion

3

0.189 5.3

3 

N–

S

4 0.227 4.4

5 

E–W

5 0.250

4

4 

Torsion

8

0.455 2.2

8 

Mode Mode

Direction of

Motion
Comparison of Measured and Calcula

Frequencies and Periods of WTC 1

NS

E-W

T

orsio

n

N-S 

October 11, 197

8 11.5 mph, E/

S

E 0.09

8 0.105 0.211 10.2

January 24, 1979

3

3 mph, E/S

E 0.08

9 0.093 0.20

3 11.2 

March 21, 1980

41 mph,

E/S

E 0.08

5 0.092 0.201 11.8 

Dece

mber 11, 199

2 - 0.087 0.092 - 11.5 

February 2, 19

9

31 20 mph, N

W 0.08

5 0.093 0.20

4 11.8 

March 13, 19931 3

2 mph, N

W 0.08

5 0.094 0.19

9 11.8 

March 10, 19941 14 mph,

W 0.0

9

4 0.09

4 0.19

6 10.6 

D

ece

mber 25, 19

9

42 N 0.0

81 0.091 - 12.3 

A

verag

e - 0.08

8 0.094 0.20

2 11.4 

Theoretical V

alue - 0.08

4 0.096 - 11.9 

Refere

nce Global

M

o

d

el

LE

R

A/NIS

T -

W

TC 1 

with

out P-D

elta 0.08

8 0.093 0.19

2 11.4 

LE

R

A/NIS

T -

W

TC 1 

with P-Delta 0.08

3 0.088 0.18

9 12.1 

Notes:

1Rep

orted fr

equency

v

alue is the

a

ver

age of the SW c

orner,

N

E c

orner, and c

enter c

ore frequ

2Rep

orted fr

equency is based on center cor

e data onl

y.

Orgi

n

al D

esign - Pre

dicte

d V

alue

s

Directio

n of

M

otion

Fr

e

q

u

e

n

c

y (

HZ)

Dire

Dat

a

S

ource/ 

Ev

e

nt Date

Win

d S

peed 

&

Directi

o

n

Hist

oric

al Data

Avera

g

e

of Meas

ure

d Data
Natural Periods (s) Natural Periods (s)

WTC 1 Analysis WTC 1 Analysis N-S E-W Tors

Average measured 11.4 10.6 4.9Theoretical value (original design) 11.9 10.4 --Reference global model 11.4 10.7 5.2

(without P (without P-∆ effects) effects)

WTC 2 Analysis WTC 2 Analysis

N-S E-W Tors

Average measured -- -- --Theoretical value (original design) 10.4 11.9 --Reference global model 10.6 11.4 5.2

(without P (without P-∆ effects) effects)
Wind Loading Wind Loading

Wind loads considered included:

 Original WTC design wind loads, 1960’s Wind loads based on two recent wind tun

conducted by Cermak Peterka Peterson, Rowan Williams Davis and Irwin, Inc. (RWinsurance litigation concerning the tower

 Refined estimates of wind loads develop

reviewed by SOM, 2004
Comparison of Wind Loads

Wind Load Estimates for WTC 1

Base Shear 103 kips 

N-S E-W

Most 

unfavorable

combined

peak

Ab

N

NYC Building Code 1938 5.3 5.3 4NYC Building Code 1968 to date 9.3 9.3 7RWDI / NYC BuildingCode 2002 11.4 10.5 13.0 1RWDI / ASCE 7-98 2002 12.3 11.3 14.0 1CPP / NYC BuildingCode 2002 NA NA NA NCPP / ASCE 7-98 2002 NA NA NA NNIST / third-party SOM review 2004 14.1 13.0 16.1 1Original WTC Design 1960’s 9.8 10.6 14.0 1

Source Year
Comparison of Wind Loads

Wind Load Estimates for WTC 2

Base Shear 103 kips 

N-S E-W

Most 

unfavorable

combined

peak

A

NYC Building Code 1938 5.3 5.3 NYC Building Code 1968 to date 9.3 9.3 RWDI / NYC BuildingCode 2002 9.7 11.1 12.3 RWDI / ASCE 7-98 2002 10.6 12.2 13.5 CPP / NYC BuildingCode 2002 NA NA NA CPP / ASCE 7-98* 2002 15.1 15.3 17.1 NIST / third-party SOM review 2004 12.2 14.0 15.6 Original WTC Design 1960’s 13.1 10.1 16.5 

Source Year

* Using ASCE 7-98 sections 6.5.4.1 and 6.6
Comparison of Wind Loads Comparison of Wind Loads

Base Shears and Base Moments Due to Wind Loads froCodes 

1938

NYC Code

1968-2001

NYC Code

1964

NY State C

ode

BO

Base Shear(103 kips) 5.3

9.3 9.5

Base Moment(106 kips-ft) 4.2

7.7 7.6
Comparison of Wind Speeds Comparison of Wind Speeds

Source Wind Speed (

fas

ground ov

ASCE 7-02 8

NYCBC 8

Original WTC design 67 

NIST estimate 9

* This wind speed is assumed to be defined as a fastest-mile speed, even thdefinition is explicitly included in the NYC

BC.
Refined NIST Estimates of Wind L

Refined NIST Estimates of Wind L

 Task objective: to provide estimates of wind

and moments on the towers, based on considthe state of the art in wind engineering.

 NIST performed estimates of the wind effects 

towers based on the limited information availthe investigation. The information used inclutunnel tests and extreme wind climatological conducted by RWDI and CPP, wind speeds fClimatic Data Center, and the NIST hurricane database.

 More elaborate calculations and/or test resul

desirable. However, obtaining such results w
Refined NIST Estimates of Win

Refined NIST Estimates of Win

 Summary Comparison by Weidlinger Associates, 

RWDI Estimates

Approximate maximum base moments induced by 

Standard wind loads for WTC 2

 |

My| (lb-ft) 

RWD

I 2 (Tabl

e 2a) 10.1e+9 

CPP (Upper Table, p. 21) 14.0e+9 

 Both RWDI and CPP results indicate that the crit

occur for an angle of about 210 degrees.

 NIST estimates of wind-induced forces and mom

primarily on RWDI results, since no results for Wfrom CPP. However, the estimates took into accbetween RWDI and CPP results for WTC 2.
Refined NIST Estimates of Win

Refined NIST Estimates of Win

 Review of CPP Estimates:

• NIST estimated a 720-yr, 3-s peak gust speed of 99

while CPP’s

estimate was 117.5 mph, i.e., CPP resu

wind loads by about 39% [(99.8/117.5)2 = 1/1.386].

• CPP results should be modified to account f

or t

heir 

sector approach to integrate aerodynamic and extreclimatological data. T

his is not realistic physically an

• Using a rigorous probabilistic approach, NIST showe

by-sector approach underestimates wind effects with recurrence interval. NIST preliminary estimat

es, t

ha

confirmed by research, indicate that the underestima

• Therefore, t

he overall reduction f

actor applied to the 

effects to account for overestimated wind speed and resulting from the sector-by-sector approach should 20% (1.15/1.386

≈1/1.205). 
Refined NIST Estimates of Win

Refined NIST Estimates of Win

 Review of RWDI Estimates:

• A comparison of RWDI r

esults with the corrected C

indicates that the RWDI results underestimate the about 15%. 

• The underestimation is due largely to the assumpt

with published measurements, that wind profiles in flatter than in non-hurricane winds. Using this assestimated the ratio between the 

r

esponses to an 8

(ASCE 7-98) and an 80 mph speed (NYCBC) to be than about (88/80)

2=1.21. 

• Also, it is not clear that RWDI’s use of the out-c

r

os

hurricane wind speeds weighted in proportion to th

to unbiased estimates. No justification/references weighting procedure.
Sources of Major Differences in W

Sources of Major Differences in W

Estimation Methods Used in Curre

Estimation Methods Used in Curre

• Design wind speed (codes, standards, site-sp• Hurricane wind profile (whether or not hurrica

are flatter than the profiles for extratropical

wi

• Estimation of “component” wind effects with a 

recurrence interval by integrating wind tunnel speed and direction information (e.g., up-crossector-by-sector method, storm passages app

• Estimation of “resultant” wind effects using lo

methods (e.g., principle of companion loads, in-time loads)
Refined NIST Estimates of Win

Refined NIST Estimates of Win

 Summary

• Wind loads consistent with ASCE 7-02 Stand

speeds were estimated for both towers from via multiplication by 1.15. This factor was recbaseline analysis. However, it may be that thnumber is anywhere between, say, 1.10 and 
Baseline Performance Analysis Baseline Performance Analysis

• Load Combinations

 Original WTC design loads case:

• WTC design gravity (dead and live) loads• Original WTC design wind loads.

 Lower estimate, state-of-the-practice (SOP

• Current New York City Building Code (NYCB• RWDI wind loads with wind speed scaled to 

wind speed (80 mph fastest mile).

 Refined NIST estimate case:

• Current ASCE 7 Standard (a national standa• Refined wind loads developed by NIST base

related to the current state of the art in wind 
Calculation of Demand Calculation of Demand

-to

-Capacity Ratio

Capacity Ratio

 DCRs were estimated using the Allowable Str

(ASD) procedure as specified in the American Steel Construction (AISC) Specification for StBuildings –

Allowable Stress Design and Plas

 Load Combinations:

• Original WTC design loading case and the low

SOP case: AISC Specification (1989) and the 

• The refined NIST estimate case: ASCE 7-02 S
DCRs for Exterior Walls of WTC 1 under 

for Exterior Walls of WTC 1 under 

Design Case Design Case

North East South 
DCRs for Core Columns of WTC 1 under 

for Core Columns of WTC 1 under 

Design Case Design Case

601 602 603 604 605 606 607 608

106 FL 0.94 1.03 1.29 1.01 1.01 1.05 1.15 0.80105 FL 1.03 1.10 1.36 1.11 1.09 1.13 1.23 0.92104 FL 1.12 0.98 1.13 0.94 0.96 0.95 1.12 0.84103 FL 1.04 1.03 1.18 1.01 1.03 1.01 1.18 0.93102 FL 1.11 1.08 1.24 1.08 1.09 1.07 1.25 1.02101 FL 1.19 1.06 1.05 0.88 0.99 1.07 1.05 1.09100 FL 1.10 1.11 1.10 0.93 1.05 1.13 1.10 1.18

99 FL 1.16 1.16 1.15 0.99 1.10 1.20 1.15 1.2798 FL 1.23 1.01 0.96 0.96 1.02 1.06 1.00 1.1897 FL 1.18 1.06 1.00 1.01 1.07 1.12 1.04 1.2596 FL 1.24 1.10 1.04 1.06 1.12 1.17 1.09 1.3395 FL 1.31 0.97 0.93 0.98 1.05 1.05 0.96 1.1294 FL 1.13 1.01 0.96 1.02 1.10 1.09 1.00 1.1893 FL 1.18 1.04 0.99 1.07 1.14 1.14 1.04 1.2492 FL 1.23 0.98 0.93 0.83 0.98 1.03 0.98 1.0791 FL 1.08 1.02 0.95 0.86 1.02 1.07 1.01 1.1290 FL 1.12 1.05 0.98 0.89 1.05 1.12 1.05 1.1789 FL 1.17 0.95 0.89 0.93 0.92 1.02 0.94 1.0388 FL 1.04 0.98 0.92 0.96 0.96 1.06 0.97 1.0887 FL 1.08 1.01 0.94 1.00 0.99 1.10 1.00 1.1286 FL 1.12 0.96 0.93 0.87 0.88 1.09 0.99 1.0085 FL 1.15 0.99 0.95 0.90 0.90 1.13 1.02 1.0484 FL 1.20 1.01 0.98 0.93 0.93 1.16 1.05 1.0883 FL 1.25 0.93 0.90 0.96 0.96 0.99 0.96 1.1182 FL 1.01 0.97 0.93 0.99 0.99 1.02 1.00 1.1681 FL 1.04 1.02 0.99 1.04 1.03 1.07 1.05 1.2180 FL 1.08 0.88 0.93 0.72 0.82 1.07 0.86 0.9779 FL 1.04 0.90 0.96 0.74 0.84 1.09 0.88 1.0178 FL 1.08 0.92 0.98 0.76 0.87 1.12 0.90 1.0577 FL 0.76 0.63 0.66 0.62 0.68 0.65 0.66 0.8576 FL 0.78 0.67 0.70 0.65 0.70 0.68 0.70 0.8675 FL 0.97 0.84 0.89 0.82 0.91 0.86 0.86 1.0074 FL 0.97 0.85 0.89 0.82 0.92 0.86 0.86 1.0173 FL 1.00 0.86 0.91 0.84 0.93 0.88 0.88 1.0472 FL 1.00 0.83 0.87 0.82 0.85 0.83 0.85 0.9971 FL 1.03 0.84 0.88 0.83 0.86 0.84 0.86 1.0270 FL 1.05 0.85 0.90 0.85 0.88 0.86 0.88 1.0469 FL 0.80 0.78 0.82 0.80 0.84 0.83 0.83 0.8668 FL 0.84 0.81 0.85 0.84 0.88 0.87 0.87 0.9167 FL 0.83 0.80 0.85 0.84 0.87 0.86 0.86 0.9066 FL 0.89 0.82 0.89 0.87 0.89 0.88 0.89 1.0765 FL 0.90 0.82 0.89 0.87 0.89 0.88 0.89 1.0964 FL 0.92 0.84 0.92 0.90 0.92 0.90 0.91 1.1263 FL 0.90 0.81 0.89 0.86 0.88 0.87 0.88 0.9962 FL 0.91 0.83 0.90 0.88 0.89 0.88 0.89 1.0161 FL 0.93 0.84 0.92 0.89 0.91 0.89 0.91 1.0360 FL 0.90 0.81 0.86 0.90 0.87 0.87 0.87 1.0559 FL 0.91 0.82 0.87 0.91 0.89 0.88 0.88 1.0758 FL 0.93 0.83 0.88 0.93 0.90 0.89 0.89 1.0957 FL 0.90 0.81 0.86 0.90 0.87 0.86 0.86 1.0556 FL 0.92 0.82 0.87 0.92 0.88 0.87 0.87 1.0755 FL 0.93 0.83 0.88 0.93 0.89 0.88 0.88 1.0854 FL 0.87 0.81 0.86 0.90 0.91 0.86 0.83 1.0453 FL 0.88 0.82 0.87 0.91 0.92 0.87 0.84 1.0652 FL 0.89 0.83 0.88 0.93 0.93 0.88 0.85 1.0851 FL 0.87 0.81 0.86 0.90 0.90 0.86 0.83 1.0450 FL 0.89 0.82 0.87 0.91 0.91 0.87 0.83 1.0549 FL 0.90 0.83 0.88 0.92 0.93 0.88 0.84 1.0748 FL 0.88 0.81 0.86 0.93 0.90 0.84 0.82 1.0347 FL 0.89 0.82 0.87 0.94 0.91 0.85 0.83 1.0546 FL 0.91 0.83 0.88 0.96 0.92 0.86 0.84 1.0745 FL 0.83 0.77 0.81 0.86 0.84 0.80 0.75 0.9244 FL 0.85 0.78 0.83 0.89 0.86 0.81 0.77 0.9543 FL 0.64 0.56 0.60 0.65 0.65 0.61 0.58 0.7042 FL 0.66 0.56 0.63 0.68 0.68 0.64 0.61 0.7241 FL 0.85 0.77 0.83 0.88 0.90 0.84 0.81 0.9240 FL 0.85 0.76 0.82 0.88 0.90 0.84 0.81 0.9239 FL 0.84 0.77 0.82 0.88 0.88 0.84 0.80 0.9038 FL 0.85 0.78 0.83 0.90 0.89 0.85 0.81 0.9137 FL 0.87 0.79 0.84 0.91 0.90 0.86 0.82 0.9336 FL 0.85 0.78 0.81 0.88 0.87 0.84 0.81 0.9135 FL 0.86 0.79 0.82 0.89 0.88 0.85 0.82 0.9234 FL 0.88 0.80 0.82 0.91 0.90 0.86 0.82 0.9333 FL 0.84 0.77 0.81 0.89 0.87 0.83 0.80 0.9232 FL 0.85 0.77 0.82 0.90 0.88 0.84 0.81 0.9331 FL 0.86 0.78 0.83 0.91 0.89 0.85 0.82 0.9430 FL 0.82 0.77 0.82 0.89 0.87 0.84 0.81 0.9229 FL 0.83 0.78 0.82 0.90 0.88 0.85 0.82 0.9428 FL 0.84 0.78 0.83 0.91 0.89 0.86 0.83 0.9527 FL 0.83 0.77 0.82 0.89 0.88 0.83 0.80 0.9326 FL 0.84 0.78 0.82 0.90 0.88 0.84 0.81 0.9425 FL 0.85 0.79 0.83 0.91 0.89 0.85 0.82 0.9524 FL 0.82 0.78 0.81 0.89 0.88 0.82 0.80 0.9423 FL 0.83 0.78 0.81 0.90 0.89 0.82 0.81 0.9522 FL 0.84 0.79 0.82 0.91 0.89 0.83 0.82 0.9621 FL 0.82 0.78 0.81 0.92 0.88 0.82 0.81 0.9420 FL 0.83 0.79 0.82 0.93 0.89 0.83 0.82 0.9619 FL 0.84 0.79 0.83 0.94 0.90 0.83 0.83 0.9718 FL 0.82 0.78 0.81 0.92 0.88 0.82 0.80 0.9317 FL 0.83 0.79 0.82 0.93 0.89 0.82 0.80 0.9416 FL 0.84 0.79 0.83 0.94 0.90 0.83 0.81 0.9515 FL 0.81 0.77 0.80 0.93 0.90 0.81 0.80 0.9314 FL 0.82 0.78 0.81 0.93 0.91 0.82 0.80 0.9413 FL 0.83 0.79 0.82 0.94 0.92 0.82 0.81 0.9512 FL 0.82 0.78 0.81 0.93 0.90 0.82 0.79 0.9411 FL 0.83 0.78 0.82 0.94 0.91 0.82 0.79 0.9510 FL 0.84 0.80 0.83 0.95 0.92 0.84 0.80 0.9609 FL 0.92 0.76 0.90 1.04 1.01 0.97 0.87 1.0308 FL 0.92 0.81 0.90 1.04 1.02 0.98 0.87 1.0407 FL 0.57 0.53 0.56 0.62 0.60 0.60 0.55 0.6106 FL 0.59 0.55 0.57 0.63 0.62 0.62 0.56 0.6205 FL 0.59 0.55 0.58 0.64 0.63 0.63 0.57 0.6204 FL 0.57 0.54 0.56 0.62 0.61 0.61 0.55 0.6003 FL 0.66 0.61 0.64 0.71 0.70 0.69 0.63 0.6902 FL 0.69 0.62 0.66 0.74 0.72 0.71 0.64 0.7201 FL 0.80 0.79 0.82 0.92 0.90 0.88 0.79 0.88

B1 FL 0.79 0.78 0.81 0.91 0.89 0.87 0.79 0.88B2 FL 0.81 0.79 0.82 0.93 0.90 0.88 0.80 0.89B3 FL 0.77 0.75 0.81 0.89 0.87 0.87 0.78 0.84B4 FL 0.79 0.83 0.89 0.99 0.97 0.95 0.86 0.95B5 FL 0.80 0.83 0.90 1.00 0.98 0.96 0.87 0.96

LEVEL

TOWER A, DCR of CORE COLUMN

600's COLUMN NUMBER

901 902 903 904 905 906 907 908

106 FL 0.76 0.98 0.97 0.80 0.85 1.10 1.02 0.76105 FL 0.82 1.05 1.02 0.71 0.91 1.16 1.08 0.80104 FL 0.83 0.95 0.94 1.13 0.75 0.96 0.97 0.80103 FL 0.92 1.01 0.98 1.21 0.80 1.01 1.02 0.89102 FL 1.01 1.07 1.03 0.89 0.88 1.05 1.07 0.97101 FL 0.87 0.96 0.86 0.98 0.78 0.89 0.98 0.84100 FL 0.94 1.01 0.88 1.04 0.84 0.93 1.03 0.91

99 FL 1.01 1.05 0.91 1.10 0.90 0.97 1.08 0.9898 FL 1.02 0.92 0.81 0.99 0.88 0.90 0.94 1.0097 FL 1.09 0.96 0.83 1.05 0.93 0.93 0.98 1.0696 FL 1.16 1.00 0.86 1.10 0.99 0.97 1.02 1.1395 FL 0.91 0.84 0.81 0.88 0.86 0.86 0.90 1.0894 FL 0.96 0.88 0.83 0.92 0.91 0.89 0.94 1.1493 FL 1.00 0.91 0.85 0.96 0.95 0.92 0.97 1.2092 FL 0.89 0.86 0.78 0.90 0.90 0.86 0.87 1.0491 FL 0.93 0.89 0.80 0.94 0.94 0.89 0.90 1.0990 FL 0.97 0.92 0.82 0.98 0.98 0.92 0.93 1.1489 FL 1.01 0.84 0.76 0.84 0.84 0.83 0.85 1.0088 FL 1.05 0.86 0.78 0.87 0.88 0.85 0.88 1.0587 FL 1.09 0.89 0.80 0.90 0.91 0.88 0.90 1.0986 FL 0.97 0.85 0.75 0.93 0.78 0.87 0.86 0.9785 FL 1.01 0.87 0.77 0.96 0.81 0.89 0.88 1.0084 FL 1.04 0.90 0.79 0.99 0.83 0.92 0.91 1.0483 FL 1.07 0.79 0.73 0.86 0.79 0.87 0.80 1.0782 FL 1.11 0.81 0.75 0.89 0.82 0.89 0.82 1.1181 FL 1.15 0.83 0.77 0.92 0.84 0.91 0.84 1.1480 FL 1.19 0.86 0.85 0.95 0.87 0.94 0.86 1.1979 FL 1.25 0.89 0.88 0.99 0.91 0.97 0.89 1.2478 FL 1.30 0.92 0.90 1.03 0.94 1.00 0.92 1.3077 FL 0.84 0.67 0.62 0.71 0.60 0.56 0.55 0.8876 FL 0.85 0.71 0.65 0.73 0.63 0.60 0.60 0.9075 FL 0.98 0.85 0.84 0.94 0.76 0.85 0.88 1.0574 FL 0.98 0.85 0.84 0.95 0.77 0.85 0.88 1.0673 FL 1.01 0.87 0.86 0.97 0.79 0.87 0.90 1.0972 FL 0.95 0.89 0.79 0.92 0.77 0.82 0.85 1.0371 FL 0.98 0.91 0.81 0.94 0.79 0.85 0.87 1.0670 FL 1.00 0.93 0.82 0.96 0.81 0.87 0.88 1.0869 FL 0.81 0.81 0.79 0.91 0.77 0.82 0.84 0.8868 FL 0.88 0.87 0.82 0.96 0.82 0.88 0.89 0.9567 FL 0.86 0.85 0.82 0.96 0.81 0.86 0.87 0.9266 FL 1.01 0.93 0.85 0.98 0.83 0.88 0.89 1.0965 FL 1.03 0.93 0.85 0.98 0.83 0.89 0.89 1.1164 FL 1.06 0.97 0.88 1.02 0.87 0.92 0.92 1.1463 FL 1.00 0.91 0.83 0.97 0.82 0.94 0.88 1.0762 FL 1.03 0.93 0.84 0.99 0.84 0.96 0.89 1.1061 FL 1.05 0.95 0.85 1.01 0.85 0.99 0.91 1.1260 FL 0.99 0.90 0.83 0.97 0.83 0.93 0.87 1.0659 FL 1.01 0.92 0.84 0.99 0.85 0.95 0.88 1.0858 FL 1.03 0.93 0.86 1.01 0.87 0.97 0.90 1.1057 FL 1.06 0.88 0.84 1.01 0.85 0.93 0.84 1.0456 FL 1.08 0.90 0.85 1.02 0.86 0.94 0.85 1.0655 FL 1.10 0.91 0.86 1.04 0.88 0.96 0.87 1.0954 FL 1.04 0.93 0.84 1.01 0.86 0.91 0.88 1.1153 FL 1.06 0.94 0.85 1.02 0.87 0.93 0.89 1.1352 FL 1.08 0.96 0.87 1.04 0.89 0.95 0.91 1.1551 FL 1.03 0.89 0.85 0.99 0.86 0.97 0.83 1.0950 FL 1.05 0.90 0.86 1.01 0.87 0.98 0.85 1.1149 FL 1.07 0.91 0.87 1.03 0.89 1.00 0.86 1.1348 FL 1.09 0.83 0.83 0.97 0.86 0.89 0.83 1.0847 FL 1.12 0.85 0.85 0.98 0.87 0.92 0.85 1.1146 FL 1.14 0.87 0.86 1.00 0.89 0.93 0.87 1.1345 FL 0.85 0.78 0.77 0.76 0.83 0.84 0.79 0.8844 FL 0.87 0.80 0.79 0.78 0.85 0.86 0.81 0.9043 FL 0.75 0.61 0.60 0.69 0.63 0.66 0.62 0.7742 FL 0.77 0.63 0.63 0.72 0.66 0.68 0.64 0.7941 FL 1.00 0.85 0.83 0.94 0.86 0.90 0.86 1.0040 FL 1.00 0.85 0.83 0.94 0.85 0.90 0.86 1.0039 FL 0.98 0.83 0.84 0.94 0.84 0.89 0.84 1.0138 FL 1.00 0.84 0.85 0.96 0.85 0.90 0.85 1.0237 FL 1.01 0.85 0.86 0.97 0.86 0.92 0.86 1.0436 FL 1.02 0.84 0.85 0.95 0.84 0.90 0.85 1.0135 FL 1.03 0.85 0.86 0.96 0.85 0.91 0.86 1.0334 FL 1.05 0.86 0.87 0.97 0.87 0.92 0.87 1.0433 FL 1.02 0.84 0.85 0.94 0.84 0.90 0.85 1.0232 FL 1.04 0.85 0.87 0.96 0.85 0.91 0.86 1.0331 FL 1.05 0.86 0.88 0.97 0.86 0.92 0.87 1.0430 FL 1.04 0.85 0.86 0.94 0.83 0.91 0.86 1.0229 FL 1.05 0.86 0.87 0.95 0.84 0.92 0.87 1.0328 FL 1.06 0.87 0.89 0.96 0.85 0.93 0.88 1.0427 FL 1.17 0.86 0.87 0.97 0.84 0.91 0.86 1.0226 FL 1.18 0.87 0.88 0.98 0.85 0.92 0.87 1.0325 FL 1.07 0.88 0.89 0.99 0.86 0.93 0.88 1.0524 FL 1.05 0.86 0.88 0.97 0.85 0.91 0.85 1.0323 FL 1.06 0.87 0.89 0.98 0.86 0.92 0.86 1.0422 FL 1.07 0.88 0.90 0.99 0.87 0.93 0.87 1.0521 FL 1.05 0.87 0.89 0.97 0.86 0.92 0.86 1.0620 FL 1.07 0.88 0.90 0.98 0.87 0.93 0.87 1.0719 FL 1.08 0.89 0.91 0.99 0.87 0.94 0.88 1.0918 FL 1.08 0.87 0.88 0.96 0.87 0.92 0.87 1.0617 FL 1.10 0.88 0.89 0.97 0.88 0.93 0.88 1.0816 FL 1.11 0.89 0.90 0.98 0.89 0.94 0.89 1.0915 FL 1.09 0.86 0.89 0.99 0.86 0.93 0.87 1.0814 FL 1.10 0.87 0.90 1.00 0.87 0.94 0.88 1.0913 FL 1.11 0.88 0.91 1.01 0.88 0.95 0.89 1.1012 FL 1.09 0.87 0.90 0.98 0.86 0.94 0.87 1.0811 FL 1.11 0.88 0.91 0.99 0.87 0.95 0.88 1.0910 FL 1.13 0.89 0.93 1.01 0.89 0.96 0.89 1.1109 FL 0.91 0.86 0.89 0.97 0.99 1.03 0.97 1.0608 FL 0.98 0.91 0.95 1.03 1.00 1.04 0.97 1.06

07 FL 0.63 0.60 0.61 0.62 0.67 0.59 0.59 0.6206 FL 0.65 0.62 0.63 0.64 0.69 0.61 0.60 0.6405 FL 0.65 0.63 0.64 0.65 0.70 0.62 0.61 0.6404 FL 0.63 0.61 0.62 0.63 0.67 0.60 0.59 0.6203 FL 0.72 0.69 0.71 0.72 0.80 0.68 0.67 0.7102 FL 0.75 0.71 0.73 0.74 0.83 0.70 0.69 0.7401 FL 1.07 0.89 0.92 1.01 1.00 0.96 0.90 1.07

B1 FL 1.06 0.88 0.91 1.00 0.98 0.94 0.88 1.06B2 FL 1.08 0.89 0.92 1.01 0.99 0.96 0.90 1.08B3 FL 1.02 0.85 0.89 0.97 0.93 0.92 0.86 1.01B4 FL 1.05 0.87 0.98 1.07 1.05 1.00 0.94 1.13B5 FL 1.06 0.88 0.99 1.08 1.06 1.01 0.95 1.14

LEVEL

TOWER A, DCR of CORE COLUMN

900's COLUMN NUMBER

106 FL 105 FL 104 FL 103 FL 102 FL 101 FL 100 FL 

99 FL 98 FL 97 FL 96 FL 95 FL 94 FL 93 FL 92 FL 91 FL 90 FL 89 FL 88 FL 87 FL 86 FL 85 FL 84 FL 83 FL 82 FL 81 FL 80 FL 79 FL 78 FL 77 FL 76 FL 75 FL 74 FL 73 FL 72 FL 71 FL 70 FL 69 FL 68 FL 67 FL 66 FL 65 FL 64 FL 63 FL 62 FL 61 FL 60 FL 59 FL 58 FL 57 FL 56 FL 55 FL 54 FL 53 FL 52 FL 51 FL 50 FL 49 FL 48 FL 47 FL 46 FL 45 FL 44 FL 43 FL 42 FL 41 FL 40 FL 39 FL 38 FL 37 FL 36 FL 35 FL 34 FL 33 FL 32 FL 31 FL 30 FL 29 FL 28 FL 27 FL 26 FL 25 FL 24 FL 23 FL 22 FL 21 FL 20 FL 19 FL 18 FL 17 FL 16 FL 15 FL 14 FL 13 FL 12 FL 11 FL 10 FL 09 FL 08 FL 07 FL 06 FL 05 FL 04 FL 03 FL 02 FL 01 FL 

B1 FL B2 FL B3 FL B4 FL B5 FL 

LEVEL

Line 600

Line 900
Results of Baseline Analysis for W

Results of Baseline Analysis for W

* Number of members includes columns with 1⁄2 floor height due to the prese

nce of col

u

The safety of the WTC towers on September 11, 2001 was most likely n

ot affected by 

members for which the demand exceeded all

owable capacity.

Mean 

DCR

% members 

with DCR>1

% member

with DCR>1.

Exterior Col

umns (Floor 

9-106)

Original WTC Design LoadsLower E

stimate SOP Case

Refined NIST Estimate Case

0.760.781.10

1.1

2

72

0.40.9

60

Spandrel Beams (Floor 9-106)

Original WTC Design LoadsLower E

stimate SOP Case

Refined NIST Estimate Case

0.310.320.52

00

0.5

00

0.3

Core Columns

Original WTC Design LoadsLower E

stimate SOP Case

Refined NIST Estimate Case

0.860.860.84

10

9.98.9

5.35.35.2

Hat Truss (Col

umns)

Original WTC Design LoadsLower E

stimate SOP Case

Refined NIST Estimate Case

0.470.450.53

0.40.43.8

0.40.40.8
Results of Drift Analysis Results of Drift Analysis

WTC 1

E–W

N–S E–W

Total 

Drift 

(in.)

Drift 

Ratio

Total 

Drift 

(in.)

Drift 

Ratio

Total 

Drift 

(in.)

D

R

Origi

nal design 

case

56.6

H/304 55.7

H/309 51.2

H

SOP case 56.8

H/303 68.1

H/253 59.7

H

Refined NIST case

70.6

H/244 83.9

H/205 75.6

H

Loading Cas

e

0

200400600800

1000120014001600

0 20 40 60 80 100

Cumulative Drift [in.]

Height above B6 Level [ft.]

Drift MAX=56.6

E–W direction

1111

Height above B6 Level [ft.]

Cumulative drifts for WTC 1 under original design wind loads 

Typical drift values considered in practice (not required by building codes) range from H/400 to H/500.
Results of Drift Analysis Results of Drift Analysis

 Current building codes do not specify a drift limit 

The ASCE 7-02 Standard states in Section B.1.2 structures due to wind effects shall not impair thstructure. The commentary to this section indicacommon usage for building design are on the orof the building height to minimize damage to clanonstructural walls and partitions.

 Structural engineers often use in their practice th

drift ratios should not exceed H/400 to H/500 for considerations and to enhance overall safety anP-

∆ effects). 

 Limiting total building drift under wind loads was 

original design. Instead, inter-story drifts were udesign stage for serviceability considerations. 
Maximum Inter-story drift for WTC 

WTC 1

E–W

N

–

S E–W

Original design case h/225 h/230 h/230SOP case h/225 h/185 h/200Refined NIST case h/180 h/150 h/160Loading Case

0

200400600800

1000120014001600

0.00 0.20 0.40 0.60

Interstor

y Drift/

Stor

y H

eight [%]

Height above B6 Level [ft.]

E–W direction 0

200400600800

1000120014001600

Height above B6 Level [ft.]

Inter-story drift

s for 

WTC 1 under original design wind loads Typical inter-story drift values considered in practice for serviceability (not required by building codes) range from h/300 to h/400.
Performance of Exterior wall columns Performance of Exterior wall columns

 Distribution of normal 

stresses in the exterior walls at floor 39 of WTC 1 due to original wind loads only

 Behavior of the superstructure is that of a framed 

tube system.
Performance of Exterior wall columns Performance of Exterior wall columns

 Distribution of normal 

stresses in the exterior walls at floor B-6 of WTC 1 due to original wind loads only

 Behavior of the lower 

portion of the tower at the basement floors resembled that of a braced frame. 
Tensile Forces in Exterior Wall Columns 

Tensile Forces in Exterior Wall Columns 

Original Dead and Wind Loads Original Dead and Wind Loads

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0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 00. 1.28 12.86 5. 05 0.40 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 00. 0.00 17.55 7. 57 2.66 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 07 0 00. 2.33 19.66 10.25 5.65 1.02 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 2. 25 0 .00

0.00 24.24 13.94 9.26 4.59 0. 06 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 1.34 5. 16 0 00. 3.61 26.39 17.26 12. 33 7.05 2. 30 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .19 4.31 8. 62 0 .00

0.00 35.66 21.20 16. 45 11.11 5. 76 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 3 .41 8.12 12.24 0 .00

7.26 41.85 25.80 21. 07 15.92 9. 90 2.86 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 2.2 0 8 .17 1 3.21 17.89 0 .00

0.00 65.75 31.08 24. 85 19.00 12.32 5.21 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 4.6 5 10. 90 1 6.74 22.69 0 .00

22. 25 60.71 38.93 32. 60 25.12 17.88 10. 80 4.03 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 4.05 10.98 18. 18 2 5.63 32.18 0 .00

20. 90 59.12 37.77 31. 39 23.92 16.68 9.59 2.72 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 2.85 9.7 7 16. 98 2 4.43 31.02 0 .00

0.00 71.10 49.32 40. 23 30.92 23.84 15. 94 7.71 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .89 9.24 17.06 24. 11 3 2.41 39.87 0 .00

9.72 82.65 51.49 42. 70 34.00 28.24 19. 44 10.68 1. 45 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 3 .85 12. 41 20.88 26. 82 3 5.20 44.34 0 .00

0.00 91.89 55.85 46. 93 38.20 31.98 22. 55 13.37 4. 61 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 6 .53 15. 42 24.48 30. 91 3 9.23 47.76 0 .00

12. 07 88.86 59.46 51. 31 42.97 35.46 25. 92 16.45 7. 09 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.5 2 9 .55 18. 64 27.78 35. 38 4 3.82 52.67 0 .00

0.00 98.00 64.87 55. 20 46.32 38.26 29. 11 19.74 9. 94 0.73 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 3.3 8 12. 87 21. 95 30.84 38. 68 4 6.96 55.18 0 .00

13. 58 96.21 67.41 58. 68 49.84 40.92 31. 78 22.36 13.18 4.12 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 6.6 5 15. 49 24. 55 33.36 41. 96 5 0.56 59.27 0 .00

0.00 108.19 72.10 62. 72 53.49 43.96 35. 01 25.80 16.26 7.16 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.66 9.6 9 18. 89 27. 84 36.53 45. 63 5 4.01 61.71 0 .00

14. 51 107.78 73.55 65. 48 56.53 47.47 39. 03 29.82 19.74 10. 88 1.30 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 4.25 13.09 22. 76 31. 67 39.87 48. 49 5 7.24 65.84 0 .00

0.00 120.62 78.36 69. 41 60.22 50.51 42. 56 32.78 23.21 14. 65 5.14 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 7.93 16.53 25. 71 35. 17 43.04 52. 27 6 0.78 68.44 0 .00

16. 41 118.82 80.57 73. 80 64.95 54.32 46. 76 36.78 26.65 17. 68 7.65 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 1. 11 10. 86 19.83 29. 56 39. 15 46.62 56. 79 6 5.61 73.09 0 .00

0.00 132.76 85.10 78. 30 68.49 58.28 51. 03 41.17 30.26 21. 35 11.12 0. 75 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 4. 45 14. 41 23.35 33. 87 43. 46 50.76 60. 43 6 9.43 74.96 0 .00

18. 46 130.97 87.38 82. 49 72.92 62.48 54. 76 44.29 33.71 25. 25 14.93 3. 81 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 8. 09 18. 20 26.82 36. 94 47. 00 54.62 64. 62 7 4.15 80.18 0 .00

0.00 145.90 93.87 87. 76 77.87 66.44 59. 18 48.64 37.34 28. 55 17.11 6. 39 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.1 6 10. 26 21. 39 30.34 41. 21 51. 44 58.74 69. 63 7 8.74 83.59 0 .00

20. 07 144.95 96.71 91. 58 81.66 70.60 64. 33 53.88 41.36 32. 50 20.45 8. 83 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 2.2 7 13. 56 25. 22 34.22 46. 21 56. 37 62.75 73. 30 8 3.14 89.27 0 .00

0.00 162.60 102. 78 96. 92 86.40 74.64 68. 67 57.38 45.53 36. 10 24.10 11.75 0.27 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 5.1 3 17. 16 28. 83 38.33 49. 73 60. 74 66.93 78. 12 8 7.79 92.29 0 .00

22. 29 159.49 105. 41 102.78 92.97 79.43 73. 38 61.38 49.50 38. 45 26.58 14.94 3.51 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 8.3 3 19. 68 31. 28 42.15 53. 66 65. 19 71.35 84. 37 9 4.44 98.79 0 .00

0.00 176.47 112. 08 108.83 97.70 84.89 77. 34 65.61 53.32 41. 86 30.11 17.99 6.44 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.46 11.29 23. 14 34. 69 45.97 57. 96 69. 40 77.06 89. 35 9 9.69 101. 90 0 .00

24. 36 173.08 116. 14 114.01 102.61 90.74 80. 30 68.74 57.13 46. 12 34.27 21.45 10. 16 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 3.04 14.64 27. 20 38. 91 49.85 61. 15 72. 38 82.55 94. 08 105.58 109. 32 0 .00

0.00 191.46 126. 48 119.59 107.74 95.66 84. 26 72.96 60.66 49. 93 37.24 24.86 14. 05 0.62 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 6.70 18.01 30. 13 42. 64 53.39 65. 48 76. 63 87.81 99. 45 110.24 115. 28 0 .00

26. 75 188.04 131. 62 122.82 112.05 100. 85 88. 90 78.47 64.89 54. 41 41.36 28.06 16. 69 2.37 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 9.15 21.05 34. 12 47. 00 57.59 70. 91 81. 23 92.79 103 .64 114.46 124. 57 0 .00

0.00 209.67 139. 90 128.00 117.11 105. 06 92. 82 83.04 69.67 59. 21 46.07 31.73 20. 05 5.39 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 12. 35 24.54 38. 64 51. 70 62.37 75. 55 85. 42 97.44 109 .06 118.97 128. 51 0 .00

29. 54 207.03 142. 76 132.56 123.97 110. 30 98. 09 88.43 74.44 63. 26 49.35 35.39 23. 36 8.89 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 1. 08 15. 60 28.08 41. 82 55. 63 66.99 80. 80 90. 53 102. 49 115 .86 124.73 136. 01 0 .00

0.00 230.92 149. 59 137.40 129.59 116. 09 103.86 94.44 79.19 68. 07 53.72 38.78 25. 95 11.14 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 18. 07 31.25 45. 99 60. 28 71.67 86. 82 96. 56 108. 81 121 .95 128.95 138. 48 0 .00

31. 63 227.35 152. 08 142.46 135.87 122. 33 109.33 99.12 83.89 73. 41 58.73 42.20 29. 15 14.29 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 5. 95 21. 10 34.49 50. 76 65. 47 76.38 91. 47 101.86 114. 73 128 .14 135.44 146. 95 0 .00

0.00 250.42 161. 91 149.64 142.73 127. 89 115.84 105.15 88.78 77. 97 61.75 45.47 32. 13 17.72 0. 25 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 9. 10 23. 97 37.64 53. 67 69. 84 81.12 97. 47 108.58 120. 86 135 .57 142.07 152. 21 0 .00

35. 35 244.09 165. 79 155.12 148.45 133. 75 124.52 112.42 93.97 82. 87 65.71 48.89 34. 12 19.31 2. 65 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 10. 53 25. 86 40.78 57. 45 74. 52 86.12 104 .51 117.01 126. 67 141 .43 148.99 161. 67 0 .00

0.00 268.82 175. 55 162.73 155.67 139. 78 132.57 117.43 99.81 87. 11 70.10 52.65 37. 47 22.49 4. 76 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 13. 43 28. 92 44.25 61. 62 78. 64 91.86 109 .66 125.29 133. 31 149 .25 155.82 166. 07 0 .00

38. 22 261.40 179. 72 169.60 166.06 147. 30 139.99 123.03 105. 72 89. 90 73.03 56.39 41. 66 26.24 7. 63 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 16. 86 32. 71 47.77 64. 39 81. 39 97.54 115 .15 132.44 140. 53 159 .60 164.44 176. 80 0 .00

0.00 287.97 190. 04 177.16 174.84 156. 52 146.19 129.12 111. 09 93. 85 76.97 59.47 44. 89 28.41 10.95 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.9 9 18. 73 35. 49 50.51 68. 05 85. 18 102. 78 121 .28 139.01 150. 43 169 .24 171.44 181. 58 0 .00

40. 95 280.69 193. 53 185.72 183.87 166. 55 151.52 134.44 116. 00 98. 20 82.32 62.68 49. 08 32.60 12.84 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 2.3 7 22. 38 39. 12 53.38 72. 99 89. 37 107. 57 126 .39 144.17 160. 18 178 .54 182.29 192. 05 0 .00

0.00 310.23 204. 08 200.13 193.03 174. 85 158.15 140.56 120. 14 101.81 86.34 66.23 54. 29 37.38 15.24 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 4.2 2 26. 51 43. 61 56.56 76. 60 92. 73 111. 56 132 .37 150.97 169. 11 188 .72 197.10 196. 62 0 .00

66. 78 301.97 205. 55 214.26 210.48 175. 50 165.11 158.23 114. 91 106.32 103.68 57.33 58. 75 56.00 1. 24 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 42. 64 47. 26 48.60 92. 00 96. 93 107. 45 148 .20 157.34 170. 17 204 .33 213.72 210. 67 0 .00

0.00 345.62 220. 31 228.88 254.97 145. 32 165.10 207.52 68.40 102.56 156.23 0. 26 54. 69 116.96 0. 00 0.00 70.42 0. 00 0.00 5.43 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 49.62 0.00 94. 72 41. 70 0.7 0 137 .63 92. 68 66.55 190 .96 157.03 145. 88 242 .88 227.81 226. 39 0 .00

0.00 345.62 220. 31 228.88 254.97 145. 32 165.10 207.52 68.40 102.56 156.23 0. 26 54. 69 116.96 0. 00 0.00 70.42 0. 00 0.00 5.43 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 49.62 0.00 0.0 0 94. 72 41. 70 0.7 0 137 .63 92. 68 66.55 190 .96 157.03 145. 88 242 .88 227.81 226. 39 0 .00

0.00 421.51 0. 00 855.14 0.00 0. 00 590.64 0.00 0. 00 339.67 0.00 0. 00 181.73 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 135.69 0.0 0 0. 00 309.98 0.0 0 0 .00 564.40 0.0 0 0 .00 842.19 0. 00 0 .00

0.00 421.51 0. 00 855.14 0.00 0. 00 590.64 0.00 0. 00 339.67 0.00 0. 00 181.73 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 135.69 0.0 0 0. 00 309.98 0.0 0 0 .00 564.40 0.0 0 0 .00 842.19 0. 00 0 .00

0.00 421.51 0. 00 859.34 0.00 0. 00 594.99 0.00 0. 00 344.02 0.00 0. 00 186.54 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 140.50 0.0 0 0. 00 314.34 0.0 0 0 .00 568.75 0.0 0 0 .00 846.40 0. 00 0 .00

0.00 421.51 0. 00 859.34 0.00 0. 00 594.99 0.00 0. 00 344.02 0.00 0. 00 186.54 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 140.50 0.0 0 0. 00 314.34 0.0 0 0 .00 568.75 0.0 0 0 .00 846.40 0. 00 0 .00

0.00 495.70 0. 00 940.67 0.00 0. 00 642.90 0.00 0. 00 354.11 0.00 0. 00 193.58 0.00 0. 00 29. 03 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 160.70 0.0 0 0. 00 323.47 0.0 0 0 .00 614.10 0.0 0 0 .00 913.50 0. 00 0 .00

0.00 511.35 0. 00 1032. 83 000. 0. 00 664.73 0.00 0. 00 305.07 0.00 0. 00 171.01 0.00 0. 00 64. 36 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 14. 05 0.0 0 0. 00 144.31 0.0 0 0. 00 279.76 0.0 0 0 .00 629.93 0.0 0 0 .00 996.28 0. 00 0 .00

0.00 546.66 0. 00 1212. 59 000. 0. 00 690.86 0.00 0. 00 225.82 0.00 0. 00 177.22 0.00 0. 00 165.49 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 105.82 0.0 0 0. 00 137.48 0.0 0 0. 00 204.15 0.0 0 0 .00 649.91 0.0 0 0 .00 115 3.81 0. 00 0 .00

0.00 549.26 0. 00 930.16 0.00 0. 00 676.69 0.00 0. 00 534.76 0.00 0. 00 155.14 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 110.15 0.0 0 0. 00 478.14 0.0 0 0 .00 630.73 0.0 0 0 .00 884.84 0. 00 0 .00

0.00 791.21 0. 00 914.64 0.00 0. 00 649.06 0.00 0. 00 503.36 0.00 0. 00 157.67 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 99. 95 0.0 0 0. 00 442.55 0.0 0 0 .00 598.54 0.0 0 0 .00 864.67 0. 00 0 .00

0.00 783.56 0. 00 1027. 81 0.00 0. 00 636.62 0.00 0. 00 459.69 0.00 0. 00 144.74 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 81. 40 0.0 0 0. 00 388.15 0.0 0 0 .00 575.97 0.0 0 0 .00 958.56 0. 00 0 .00

0.00 767.51 0. 00 995.79 0.00 0. 00 692.39 0.00 0. 00 424.48 0.00 0. 00 104.20 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 32. 33 0.0 0 0. 00 344.59 0.0 0 0 .00 611.17 0.0 0 0 .00 919.31 0. 00 0 .00

0.00 0.00 0. 00 971.16 0.00 0. 00 0.00 0.00 0. 00 423.25 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 343.88 0.0 0 0 .00 0.00 0.0 0 0 .00 893.52 0. 00 0 .00

200-209 210-219 220-229 230-239 240-249 250-259

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

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0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.10 1.59 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.10 6.80 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

1.01 9.39 1. 98 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 13.65 4. 67 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

2.45 18.11 6. 85 2.52 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 28.43 14.73 9.12 2.63 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

5.89 50.49 19.58 13. 16 7.28 0. 30 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 57.03 35.80 26. 99 16.11 3. 04 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 55.13 34.25 25. 25 14.18 0. 96 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

12. 19 53.61 50.05 38. 74 22.10 4. 03 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 81.10 50.55 41. 41 26.62 11.54 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

9.91 80.46 53.12 45. 40 31.81 17.16 0.27 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 88.18 57.63 50. 23 37.60 22.82 5.87 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

11. 06 87.02 59.48 53. 84 42.49 29.33 12. 51 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 97.01 64.82 58. 61 47.62 34.73 17. 74 0.14 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

12. 00 96.15 70.13 63. 52 53.55 40.64 23. 88 6.39 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 0 .00

0.00 107.45 77.13 67. 85 58.21 46.95 30. 82 13.08 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 1 .03

13. 50 107.93 80.90 73. 07 64.23 52.48 36. 58 17.99 0. 30 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 6 .01

0.00 120.97 87.29 79. 98 71.53 58.42 42. 74 24.00 4. 70 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 00 9 .27

15. 16 121.25 89.79 85. 51 77.76 65.88 49. 17 30.86 10.63 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 0. 37 15. 34

0.00 136.35 96.28 91. 87 83.82 72.53 54. 11 36.25 17.21 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 3. 98 18. 29

17. 24 137.06 100. 91 98. 58 90.62 79.47 60. 52 42.69 22.64 1.14 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.00 8. 73 25. 13

0.00 153.92 108. 50 104.82 95.89 86.36 68. 13 50.03 28.70 6.99 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 0.39 12.19 28. 90

19. 04 154.38 112. 93 111.05 102.80 92.38 74. 72 55.79 35.44 13. 49 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 4.77 16.87 37. 17

0.00 171.35 121. 60 118.54 111.08 99.05 81. 95 62.78 41.35 18. 60 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 9.70 20.84 39. 37

21. 44 170.51 125. 17 124.22 118.27 107. 30 90. 03 70.78 47.90 24. 89 0.11 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .62 1 3.85 25.09 47. 53

0.00 189.78 133. 46 131.65 125.65 114. 55 96. 62 76.88 55.11 31. 92 6.82 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 4 .74 1 8.74 28.97 50. 05

23. 84 188.48 139. 25 139.49 134.62 122. 35 104.17 84.23 61.40 37. 27 11.30 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 10. 79 2 4.60 34.94 59. 98

0.00 208.79 149. 44 147.09 141.57 130. 97 112.10 92.84 68.25 43. 60 16.96 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 15. 27 2 9.11 39.06 62. 77

26. 09 207.13 155. 18 154.98 149.50 139. 55 118.93 99.70 75.90 50. 68 23.42 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 3.3 5 20. 83 3 4.87 45.45 74. 18

0.00 228.85 166. 71 164.88 157.80 148. 31 127.56 107.59 82.64 56. 18 27.77 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 9.4 1 27. 42 4 1.31 50.81 76. 46

28. 41 226.95 172. 02 172.86 165.11 158. 22 138.50 116.28 90.02 62. 92 33.81 3. 05 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 16.26 32. 37 4 6.71 56.92 89. 50

0.00 251.62 183. 11 182.18 173.84 166. 65 147.98 122.85 98.29 70. 52 40.74 8. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 1.21 22.49 38. 91 5 2.54 61.27 92. 02

31. 06 250.17 189. 61 191.26 185.34 176. 56 157.58 131.36 105. 50 76. 26 45.21 13.20 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 7.94 29.51 46. 44 5 944. 68.56 106 .28

0.00 277.40 200. 75 200.13 194.79 188. 40 166.79 141.96 112. 97 82. 91 50.83 16.71 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 15. 58 37.64 52. 74 6 5.02 72.81 107 .69

35. 01 275.14 206. 74 209.94 205.61 200. 57 174.84 150.76 121. 19 90. 23 57.25 20.97 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 21. 85 45.13 60. 41 7 241. 80.47 121 .91

0.00 303.06 221. 62 222.54 218.20 211. 03 185.34 160.19 128. 55 95. 71 61.18 25.61 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 3 .25 29. 89 53.61 69. 86 8 0.60 86.42 120 .39

37. 53 298.93 229. 58 233.87 230.60 221. 66 199.07 170.41 136. 39 102.26 66.80 28.75 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 11. 62 39. 37 62.39 77. 88 8 8.40 94.51 134 .54

0.00 329.51 244. 94 248.03 244.07 231. 15 211.69 179.09 144. 04 109.31 74.79 30.86 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 19. 11 48. 21 70.52 88. 65 9 7.37 99.15 131 .21

41. 05 327.08 255. 36 263.82 260.07 243. 51 224.66 190.23 149. 08 114.39 81.50 31.34 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 29. 34 58. 61 79.91 101 .37 109.17 109. 14 150 .24

0.00 368.75 275. 21 281.26 283.97 246. 69 236.89 219.92 136. 98 120.37 112.01 6. 97 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 61. 35 69. 47 77.54 127 93. 122.33 112. 81 172 .77

0.00 932.40 35.80 28. 71 15.34 153. 92 110.42 59.98 141. 57 9.41 137.69 0. 00 0.00 1.21 0. 00 0.00 22.49 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 38. 91 0.00 0.0 0 185 .34 59. 44 0.0 0 303 .06 298.93 41.05 69. 47

0.00 932.40 35.80 28. 71 15.34 153. 92 110.42 59.98 141. 57 9.41 137.69 0. 00 0.00 1.21 0. 00 0.00 22.49 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 38. 91 0.00 0.0 0 185 .34 59. 44 0.0 0 303 .06 298.93 41.05 69. 47

0.00 122.33 0. 00 58. 61 0.00 0. 00 124.22 0.00 0. 00 541.79 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 12. 25 0.0 0 0 .00 221.66 0. 00 127 .93

0.00 122.33 0. 00 58. 61 0.00 0. 00 124.22 0.00 0. 00 541.79 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 12. 25 0.0 0 0 .00 221.66 0. 00 127 .93

0.00 122.33 0. 00 64. 82 0.00 0. 00 125.17 0.00 0. 00 354.51 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 184.63 0.0 0 0 .00 230.60 0. 00 127 93. 0.00 122.33 0. 00 64. 82 0.00 0. 00 125.17 0.00 0. 00 354.51 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 184.63 0.0 0 0 .00 230.60 0. 00 127 .93

0.00 498.72 0. 00 1198. 11 0.00 0. 00 865.61 0.00 0. 00 380.40 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 342.69 0.0 0 0 .00 725.13 0. 00 333 .200.00 543.82 0. 00 1315. 96 0.00 0. 00 926.79 0.00 0. 00 316.65 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 401.84 0.0 0 0 .00 842.57 0. 00 354 .51

0.00 572.38 0. 00 1496. 22 0.00 0. 00 964.13 0.00 0. 00 248.51 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 442.83 0.0 0 0 .00 102 0.31 0. 00 327 .77

0.00 573.57 0. 00 1219. 10 0.00 0. 00 932.40 0.00 0. 00 594.11 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 122.33 0.0 0 0 .00 418.49 0.0 0 0 .00 753.25 0. 00 327

0.00 834.17 0. 00 1200. 36 0.00 0. 00 883.72 0.00 0. 00 549.59 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 77. 34 00 0 . 0 .00 378.22 0.0 0 0 .00 720.57 0. 00 6490.00 828.04 0. 00 1331. 37 0.00 0. 00 836.26 0.00 0. 00 491.37 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 17. 62 00 0 . 0 .00 347.03 0.0 0 0 .00 830.79 0. 00 631

0.00 815.87 0. 00 1296. 50 0.00 0. 00 857.01 0.00 0. 00 433.66 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 351.09 0.0 0 0 .00 751.75 0. 00 591

0.00 0.00 0. 00 1255. 87 0.00 0. 00 0.00 0.00 0. 00 433.34 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.00 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0. 00 0.00 0.0 0 0 .00 0.00 0.0 0 0 .00 721.08 0. 00 0

300-309 310-319 320-329 330-339 340-349 350-359

.92.85.12

85. North East .00 Sout

h
Results of Baseline Analysis for Ty

Results of Baseline Analysis for T

Truss

-Framed Floor (Floor 96) Framed Floor (Floor 96)

 DCRs

f

or Structural Components under

O

riginal W

Mean % DCR wit

One-Way Long Span TrussesDiagonals 0.44 9Bottom chord members

0.74 1

One-Way Short Span TrussesDiagonals 0.33 1Bottom chord members

0.37 1

Two-Way TrussesDiagonals 0.30 9Bottom chord members

0.48 1

Core Beams 0.33 9
Key Findings: Wind Loads Key Findings: Wind Loads

 The ori

ginal design wind l

oads on the towers exceeded those es

provisions of the New York City Building Code (NYCBC) pri

or to 

towers were designed, and up t

o and including 2001. The origin

were also higher than those required by other sel

ected building 

and Ne

w York State), i

ncludi

n

g the relev

ant nati

o

n

al mod

el build

Conference America (BOCA). The prescri

ptive approach i

n thes

and as a result, these codes are not necessarily appropriate for

 In the majorit

y of the cases, each of the two ort

hogonal shear co

ort

hogonal overt

urning moment components at the base of the t

wind design w

ere small

er than the CPP, RWDI, and refined NIS

most unfavorable combined peaks (resultant) from the origi

nal d

small

er, by at most 15 percent than estimates based on the CPP

estimates. This is due to the conservative approach used to comori

ginal design.

 The estimated wind-induced l

oads on the towers varied by as m

the wind tunnel/climatologi

cal studi

es conducted i

n 2002 by CPP 

reason for these differences was the different approaches used 

estimate extreme wind speeds; (2) estimate wind profiles; (3) i

nt

dynamic, and extreme wind climatological information; and (4) cort

hogonal directions and in t

orsion. Such disparity i

s indicative 

inconsistenci

es associated with the current state of practice i

n w

buildings. 
Key Findings: Baseline Performan

Key Findings: Baseline Performan

 Under the original WTC design loads, the cumulative drifts a

towers ranged from H/263 to H/335. For the lower-estimate ranged from H/253 to H/306.Under design loading conditions, the maximum inter-story dand h/200 for W

TC 1 and WTC 2, respectively, where h is th

inter-story drifts under the SOP case were about h/184 and WTC 2, respectively. For the r

efined NIST estimate case, the cumulative and inte

25 percent larger than those from the SOP case. Current building codes do not specify a drift limit for wind deoften use in their practice the criterion that total drift ratios shH/500 for serviceability considerations and to enhance overa

(including P-

∆ effects). For inter-story drifts, structural engin

practice an inter-story drift limit in the range of h/300 to h/40

inter-story drifts of the towers were larger than what is genepractice.
Key Findings: Baseline Performan

Key Findings: Baseline Performan

 The DCRs based on the all

o

wable stress desi

gn procedure, est

WTC design l

oad case w

ere i

n general close to those o

btai

ned f

case. For b

oth c

ases, a fraction o

f the structural components ha

These w

ere mai

nly observed i

n both tow

ers at:

• The exterior walls: (1) at the columns around the corners, (2) w

to the exterior walls, and (3) below floor 9.

• The core columns on the 600 line between floors 80 and 106 an

901 and 908 for much of their height.

The DCRs obtained for the refined NIST estimate c

ase w

ere hig

ori

ginal WTC design and the l

ower-estimate SOP load cases, ow

• The NIST estimated wind loads were larger than those used in 

by about 25 percent

• The original WTC design and the SOP cases used NYC

BC load 

in lower DCRs than the ASCE 7-02 load combinations used for 

 The safety of the WTC towers on September 11, 2001 w

as mos

fractio

n of members for w

hich the demand exceeded all

o

w

able c

inherent factor of safety in the allowable stress design method, (capability of ductile steel structures, and (3) on the day of the attsubjected to in-service live loads (a fraction of the desi

gn live loa

loads. 
Aircraft Impact Analysis Aircraft Impact Analysis

 Buildings are not specifically designed to withstand th

laden commercial aircraft, and building codes in the Unot require building designs to consider aircraft impac

 Documents obtained from The Port Authority of New 

Jersey indicated that the safety of the WTC towers anin an aircraft collision was a consideration in the origindocuments include:

• Port Authority (February 1964), three-page white paper, “Salien

the structural design of The World Trade Center towers,” dated 

• Port Authority (March 1964), three-page document, “period of v

crash at 80th floor.”

• Alternative Insurance Works (2001), World Trade Center Prope

Prepared for Silverstein Properties, Inc.

• The New Yorker (11/19/2001), “The Tower Builder”

by John Se

Leslie Robertson.

• FEM

A 403 (2002), World Trade Center Building Performance S

Preliminary Observations, and Recommendations.

• Glanz and Lipton (2003), City in the Sky –

The Rise and the Fa

Center, Times Books, 2003.
Aircraft Impact Analysis Aircraft Impact Analysis

 The documents indicate that a Boeing 707, th

commercial aircraft at the time, flying at 600 mconsidered and that the analysis indicated thawould result in only local damage which could collapse or substantial damage to the building endanger the lives and safety of occupants noimmediate area of impact.

 No documentary evidence of the aircraft impa

available to review the criteria and methods usanalysis of the aircraft impact into the WTC toprovide details on the ability of the WTC towesuch impacts.
Aircraft Impact Analysis Objective

Aircraft Impact Analysis Objective

 Provide estimates of probable damage to stru

including exterior walls, floor systems, and incolumns

 Provide estimates of the aircraft fuel dispersio

impact

 Provide estimates of debris damage to the bu

nonstructural contents, including partitions anThe results were to be used to estimate the dfireproofing. 

 Establish the initial conditions for the fire dyn

and thermal-structural response and collapse analys

es. 
Technical Approach Technical Approach

 Reference Structural Models of the Towe Material Constitutive and Failure Modelin WTC Towers Model Development Aircraft Data Collection and Model Deve Component Impact Analyses Subassembly Analysis Aircraft Impact Initial Conditions Sensitivity Analysis Global Impact Analyses