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2015 Alpay Demiryurek Ironheart Consulting and Engineering 12/17/2015 Foundation Design of the Pivot Pier of a Swing Bridge.

Willis Avenue Bridge – Pivot Pier

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Page 1: Willis Avenue Bridge – Pivot Pier

2015

Alpay Demiryurek

Ironheart Consulting and Engineering

12/17/2015

Foundation Design of the Pivot Pier of a Swing Bridge.

Page 2: Willis Avenue Bridge – Pivot Pier

1

Contents Scope of the Project ...................................................................................................................................... 2

Subsurface Investigation and Soil Properties used in Design ....................................................................... 2

Preliminary Section Alternatives ................................................................................................................... 4

Axial and Lateral Capacities of Two Types of Piles ....................................................................................... 5

Pile Cap Design .............................................................................................................................................. 9

Group v2013 Analysis Results ..................................................................................................................... 11

Summary ..................................................................................................................................................... 12

Appendix ..................................................................................................................................................... 13

Axial and Lateral Capacity Calculation Spread Sheets ............................................................................ 15

Group Analysis Result Plots .................................................................................................................... 19

Input File ................................................................................................................................................. 29

Output file ............................................................................................................................................... 32

Summary File ........................................................................................................................................ 106

Page 3: Willis Avenue Bridge – Pivot Pier

2

Scope of the Project

Scope of the project is to design deep foundation of the pivot pier of a swing bridge over Harlem

River in New York City. Almost all aspects of pile foundation design and construction, including

subsurface exploration, geotechnical design analysis, and Group v2013 software analysis results

for the lateral response of the piles are evaluated in this report. Specific recommendations have

been included only where necessary. Preliminary design calculations for the pile sections are done

based on Allowable Stress Design approach.

Following table is the summary of analysis for the static and seismic design loads.

Table 1: Static and Seismic Design Loads

Performance criteria, which governs the design of foundation, is given as in below table.

Table 2: Performance criteria

Subsurface Investigation and Soil Properties used in Design

Subsurface investigation of the bridge site has been done by Hardesty & Hanover, LLP Engineering. Two

soil profile sheets with SPT numbers and layer definitions with essential soil properties are provided by the

company.

The subsurface exploration program and the associated laboratory results are used to identify critical cross

section (soil column).

This soil column consist of four layers. First layer is identified as sand, glaciofluvial or alluvial deposits,

underlying layer is varved clay, glacial lake deposits, following layer is decomposed (weathered) rock layer,

residual soil, and the bedrock is inwood marble. A representative figure with elevations is shown below.

FV FT FL MV MT ML

Static Case Dead Load 16519 0 0 0 0 0

Seismic Case L+T+V 4206 4537 7872 9929 116366 106276

Pile Cap Base Forces, kip Pile Cap Base Moments, kip-ft

Vertical, V Transverse, T Lateral, L

1 4 4Maximum Displacement (in)

Page 4: Willis Avenue Bridge – Pivot Pier

3

Figure 1: Representative Critical Soil Column

Table 3:Soil property table provided by Hardesty & Hanover, LLP Engineering

Soil properties of above soil column, used for preliminary pile section selection and final design of pile

group are summarized below table.

Page 5: Willis Avenue Bridge – Pivot Pier

4

Table 4: Summary table for Soil properties used in design

Preliminary Section Alternatives

Two types of piles are evaluated for the preliminary pile section selection.

Alternative #1: Steel Pipe-pile filled with concrete, (Drilled Shaft)

+ Can be installed to any length

+ Can carry heavy loads

+ Offer best inspection control during installation

+Can be cleaned out and driven further

+Provide high bending resistance

Alternative #2: H-Pile

+The piles are easy to handle and can easily be cut to desired length.

+Can be driven through dense layers. The lateral displacement of the soil during driving is

low

+Can be relatively easily spliced or bolted.

+Can be driven hard and in very long lengths.

+Can carry heavy loads.

+Can be successfully anchored in sloping rock.

+Small displacement piles particularly useful if ground displacements and disturbance

critical.

Layer Top El. (ft) Layer Bottom El. (ft) StratumSaturated Unit

Weight (pcf)

Angle of

Internal Friction

(degree)

Undrained

Shear

Strength (psf)

Unconfined

Compressive

Strength (psi)

-30.8 -35.8 Sand 128 32 - -

-35.8 -70.5 Varved Clay 120 -1000 to 1500

(1250)-

-70.6 -82.7 Decomposed Rock 140 41 - -

-82.7 - Inwood Marble 140 - - 9600

Page 6: Willis Avenue Bridge – Pivot Pier

5

Axial and Lateral Capacities of Two Types of Piles

Axial load carrying capacities of two alternative sections are calculated based on Allowable

Strength Design.

Alternative #1: Steel pipe-pile filled with concrete

Pile Diameter: 3 ft. (36 in.)

Pile Tip Area: 7 ft2 (1017 in2)

Pile Shaft Perimeter: 9.4 ft. (112.8 in.)

Critical Depth, Lcrit, beyond which the unit skin friction is constant for cohesionless soils.

Lcrit = 15D = 15 x 3 = 45 ft. (540 in.)

Axial capacity calculations for single pipe-pile filled with concrete are done in an excel sheet. (See

Appendix.)

Allowable Axial Capacity for single pile came out to be: 2346 kips

Number of piles required to carry dead-load only is found to be 7.

Alternative #2: H-Pile, HP 18 x 181

3 ft.

Page 7: Willis Avenue Bridge – Pivot Pier

6

Equivalent Diameter for un-plugged case = 0.69 ft. (8.3 in.)

Lcrit = 15 x 0.69 = 10.3 ft. (123.6 in.) In clay layer. So OK.

Axial capacity calculations for single H-pile are done in an excel sheet. (See Appendix.)

Allowable Axial Capacity for single pile came out to be: 204 kips

Number of piles required to carry dead-load only is found to be 79.

Equivalent Diameter for plugged case = 1.69 ft. (20.3 in.)

Lcrit = 15 x 1.69 = 25.4 ft. (304.8 in.) In clay layer. So OK.

Axial capacity calculations for single H-pile are done in an excel sheet. (See Appendix.)

Allowable Axial Capacity for single pile came out to be: 777 kips

Number of piles required to carry dead-load only is found to be 21.

Approximate lateral deflection for each alternatives are calculated using Point of Fixity method

assuming a fixed head pile.

Alternative #1:

Assume all sand: submerged-medium

𝑃𝑂𝐹 = 1.8 ∗ (29000 ∗

18946.44124

0.556)

0.2

= 15.5 𝑓𝑡

Pipe pile filled with concrete Dia, 36 in Shell. Th 0.5 in

Steel E I

29000 8786.200167

Concrete E I

4000 73661.75743

Composite E I Req

29000 18946.44257 12.46262

Page 8: Willis Avenue Bridge – Pivot Pier

7

Assume all clay:

𝐸𝑠 = 0.465 ∗ 1.25 = 0.58125 𝑘𝑠𝑖

𝑃𝑂𝐹 = 20.5 𝑓𝑡

𝑦𝑡𝑜𝑝 = 7872 ∗(20.5 ∗ 12)3

12 ∗ 29000 ∗ 18946= 17.7 𝑖𝑛

Alternative #2:

Steel: E=29000, I=974 in4

Assume all sand: submerged-medium

𝑃𝑂𝐹 = 1.8 ∗ (29000 ∗

974124

0.556)

0.2

= 8.6 𝑓𝑡

Assume all clay:

𝐸𝑠 = 0.465 ∗ 1.25 = 0.58125 𝑘𝑠𝑖

𝑃𝑂𝐹 = 1.4 ∗ (29000 ∗

974124

0.58125)

0.25

= 9.8 𝑓𝑡

𝑦𝑡𝑜𝑝 = 4537 ∗(9.8 ∗ 12)3

12 ∗ 29000 ∗ 974= 21.8 𝑖𝑛

Decision

Two alternative pile sections’ capacities are calculated for the static load case and required

number of piles to carry the loads obtained.

Pile TypeShaft Capacity

(kips)

Tip Capacity

(kips)

Ultimate Capacity

(kips)F.S

Allowable

Capacity

(kips)

Required Number

of Piles

Drilled Shaft 268 6770 7038 3 2346 7

H-Pile (Un-Plugged) 257 354 611 3 204 81

H-Pile (Plugged) 175 2155 2330 3 777 21

Page 9: Willis Avenue Bridge – Pivot Pier

8

Disadvantages of alternatives

Alternative #1: Pipe-Pile filled with concrete

- High initial cost

Alternative #2: H-Piles

– The piles will corrode.

– Will deviate relatively easily during driving.

– It is not certain plugging of pile, required number of piles can deviate.

In case of lateral load, H-Piles have a significantly low moment of inertia on their weak axis. Due

to existence of high longitudinal and transverse moments in seismic case, bending possess a

problem for serviceability (or performance), thus number of piles has to be increased to meet this

criteria. Using H-piles may result in ~250 to 300 piles in pile group. Considering above

disadvantages, and required number of piles to carry static loads, it is decided to use steel pipe-

pile filled with concrete in final design. Also, the section diameter has to be increased for

performance criteria.

Page 10: Willis Avenue Bridge – Pivot Pier

9

Pile Cap Design

Pile cap is decided to build over the mean water level, such that the base of cap at elevation

+0.00 ft. Selected piles have to anchored to cap at least two diameter length.

It is planned to have a group of 27 piles in a circular configuration on pile cap. Elevation of pile

cap with the proposed pile configuration shown below from an AutoCAD drawing. Units of the

drawing are in inches.

Page 11: Willis Avenue Bridge – Pivot Pier

10

Orientation of piles arranged such that minimum center to center distance is three pile diameter.

Pile Properties

Pile Type: Steel Pipe-Pile filled with concrete

Pile Diameter: 5 ft. (60 in.)

Shell Thickness: 0.5 in

Numbered pile configuration from Group 2013 shown on the next page.

Page 12: Willis Avenue Bridge – Pivot Pier

11

Group v2013 Analysis Results Pile Cap displacements and rotations are found to be:

From above analysis results, the design of pile group satisfies the performance criteria. Maximum lateral

displacement is smaller than 4 in.

UV UT UL θV θT θL

Seismic Case L+T+V 0.015 2.01 3.48 2.80E-04 -3.63E-05 2.48E-05

Pile Cap Displacements, in Pile Cap Rotations, rad

fV,min fV,max fT,max fL,max MV,max MT,max ML,max

Seismic Case L+T+V -4.37E+02 2.00E+03 3.06E+02 1.77E+02 7.04E+01 9.77E+03 -5.80E+03

Pile Forces,kip Pile Moments, kip-ft

Page 13: Willis Avenue Bridge – Pivot Pier

12

Analysis output and summary files are attached to Appendix.

Summary The foundation of the pivot pier designed as 5 ft. diameter 27 – Steel-pipe piles filled with

concrete.

Proposed Pile cap has a circular shape with 96 ft. diameter. In design elevation of pile cap base

considered to be over the mean water level.

It is suggested to anchor pile tops at least 10 ft. into the pile cap to ensure fixity at top.

Proposed final design satisfies the performance criteria in both longitudinal and lateral

directions.

For construction of pile cap

o Outfit each pile with a precast collar, collar top 1 ft above mean water level.

o Place steel forms in&over the collar in a rectangular manner, so that workers may have

extra space to work freely to create circular cap form.

o After placing the forms, reinforcement for the pile cap and the sprouts for pivot pier can

be installed

o Finally by pouring the concrete pile cap can be finished

Representative Pictures of

Construction

Page 14: Willis Avenue Bridge – Pivot Pier

13

Appendix Elevation View of The Bridge

Soil Profile

Figure 2:Soil Profile 1

Page 15: Willis Avenue Bridge – Pivot Pier

14

Figure 3:Soil Profile 2

Critical Soil Column

Page 16: Willis Avenue Bridge – Pivot Pier

15

Axial and Lateral Capacity Calculation Spread Sheets

Pile Type

Pile Dia 3 ft 36 in

Pile Tip Area 7.068583 ft2 1017.876 in2

Pile Perimeter 9.424778 ft 113.0973 in

Lcrit 15 B = 45 ft

Drilled Shaft

Top Bottom

Depth (m) Depth (ft) Depth (m) Depth (ft) γ' (pcf) σ' (psf) σ' (psf) σ'v,avg(psf) su (psf) su/σ'v.avg α φ Ko Ks=1.2 KO σ'h avg (psf) δ = 0.67 φ tan (δ) ΔL (ft) Qs,u (lbs)

-9.4 -30.8399 -10.9 -35.7612 65.6 0 322.8346 161.41732 - - - 32 0.470081 0.564097 91.05500866 21.44 0.392701 4.92126 1658.493

-10.9 -35.7612 -21.5 -70.5381 57.6 322.8346 2325.984 1324.4094 1250 0.943817 0.498 34.7769 204033.5

-21.5 -70.5381 -23.116 -75.8399 77.6 2325.984 2737.407 2531.6955 - - - 41 0.343941 0.412729 1044.904586 27.47 0.519902 5.301837 27145.35

-23.116 -75.8399 -25.2 -82.6772 77.6 2737.407 3267.979 3002.6929 - - - 41 0.343941 0.412729 1044.904586 27.47 0.519902 6.83727 35006.75

Top Bottom

qu 9600 psi

qu(design) 1920 psi

φ 25

Nφ 2.463913 6650.713

Qp,ult 6769601 lbs 6769.6 kips

Ultimate Tip Resistance

Qt,all 2345.815 kips

# of Piles 7

Page 17: Willis Avenue Bridge – Pivot Pier

16

Pile Type

Deq 8.230209 in 0.685851 ft

Pile Tip Area 0.369444 ft2 53.2 in2

Pile Perimeter 8.833333 ft 106 in

Lcrit 10.28776 ft

Un-Plugged HP 18 x 181

Top Bottom

Depth (m) Depth (ft) Depth (m) Depth (ft) γ' (pcf) σ' (psf) σ' (psf) σ'v,avg(psf) su (psf) su/σ'v.avg α φ Ko Ks=1.2 KO σ'h avg (psf) δ = 0.67 φ tan (δ) ΔL (ft) Qs,u (lbs)

-9.4 -30.8399 -10.9 -35.7612 65.6 0 322.8346 161.4173 - - - 32 0.470081 0.564097 91.05501 21.44 0.392701 4.92126 1554.415

-10.9 -35.7612 -21.5 -70.5381 57.6 322.8346 2325.984 1324.409 1250 0.943817 0.498 34.7769 191229.5

-21.5 -70.5381 -25.2 -82.6772 77.6 2325.984 3267.979 2796.982 - - - 41 0.343941 0.412729 1154.396 27.47 0.519902 12.13911 64355.76

Top Bottom

qu 9600 psi

qu(design) 1920 psi

φ 25

Nφ 2.463913

Ultimate Tip Resistance

Qp,ult 353817.9 lbs 353.8179 kips

Qt,all 203.6525 kips

# of Piles 81

Page 18: Willis Avenue Bridge – Pivot Pier

17

Pile Type

Deq 20.31083 in 1.692569 ft

Pile Tip Area 2.25 ft2 324 in2

Pile Perimeter 6 ft 72 in

Lcrit 25.38853 ft

Plugged HP 18 x 181

Top Bottom

Depth (m) Depth (ft) Depth (m) Depth (ft) γ' (pcf) σ' (psf) σ' (psf) σ'v,avg(psf) su (psf) su/σ'v.avg α φ Ko Ks=1.2 KO σ'h avg (psf) δ = 0.67 φ tan (δ) ΔL (ft) Qs,u (lbs)

-9.4 -30.8399 -10.9 -35.7612 65.6 0 322.8346 161.4173 - - - 32 0.470081 0.564097 91.05501 21.44 0.392701 4.92126 1055.829

-10.9 -35.7612 -21.5 -70.5381 57.6 322.8346 2325.984 1324.409 1250 0.943817 0.498 34.7769 129891.7

-21.5 -70.5381 -25.2 -82.6772 77.6 2325.984 3267.979 2796.982 - - - 41 0.343941 0.412729 1154.396 27.47 0.519902 12.13911 43713.35

Top Bottom

qu 9600 psi

qu(design) 1920 psi

φ 25

Nφ 2.463913

Ultimate Tip Resistance

Qp,ult 2154831 lbs 2154.831 kips

Qt,all 776.4973 kips

# of Piles 21

Pile TypeShaft Capacity

(kips)

Tip Capacity

(kips)

Ultimate Capacity

(kips)F.S

Allowable

Capacity

(kips)

Required Number

of Piles

Drilled Shaft 268 6770 7038 3 2346 7

H-Pile (Un-Plugged) 257 354 611 3 204 81

H-Pile (Plugged) 175 2155 2330 3 777 21

Page 19: Willis Avenue Bridge – Pivot Pier

18

Lateral Pile Capacity Calculations are Shown in the Preliminary Section Alternatives parts. Summary table for the calculations is below.

Pile Typeytop

(inches)

Lateral Force

(kips)

Drilled Shaft 17.8 7872

H-Pile 21.7 4532

Page 20: Willis Avenue Bridge – Pivot Pier

19

Group Analysis Result Plots

Figure 4: Profile view of Pile configuration

Figure 5:3D View of Pile configuration

Page 21: Willis Avenue Bridge – Pivot Pier

20

Longitudinal and Transverse Deflections of Piles

Page 22: Willis Avenue Bridge – Pivot Pier

21

Longitudinal and Transverse Moments of Piles

Page 23: Willis Avenue Bridge – Pivot Pier

22

Longitudinal and Transverse Shear on Piles

Page 24: Willis Avenue Bridge – Pivot Pier

23

Longitudinal and Transverse Soil Responses

Page 25: Willis Avenue Bridge – Pivot Pier

24

Resultant Deflection and Moments of Piles

Page 26: Willis Avenue Bridge – Pivot Pier

25

Resultant Shear in Piles and Soil Reaction

Page 27: Willis Avenue Bridge – Pivot Pier

26

Maximum Axial Force

Maximum Longitudinal Displacement

Page 28: Willis Avenue Bridge – Pivot Pier

27

Maximum Longitudinal Moment

Maximum Transverse Displacement

Page 29: Willis Avenue Bridge – Pivot Pier

28

Maximum Transverse Moment

Maximum Torsion (x- axis)

Page 30: Willis Avenue Bridge – Pivot Pier

29

Input File New Group

GROUP2013.8.18

* Analysis Parameters

1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1

* Pile Cap Dimensions

0.0000000E+00 0.0000000E+00 0.0000000E+00

* Load Cases

1 0 0 1 0

0 1 0 0 5 100 100

0.0001 0.0001 1 1

Load Case

2 0 0 0 1 0 0

2 1 1 0 0.0001 1E-6 1 0

1

0 1 1 0 0 0 0 0 1 1 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1

1

20725000 7872000 -1.3963919E9 4537000 1.275312E9 1.19148E8 0 0 0

0

0

* Load Combinations

0 0 0 1 0

* Distributed Load Sets

0

* Pile Group Configuration

27

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 -540 0 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 -467.7 -270 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 -467.7 270 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 -360 0 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 -270 467.7 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 -254.6 254.6 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 -254.6 -254.6 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 -270 -467.7 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 -155.9 -90 0 90 370

2 2 1 0 0 0 0 0

Page 31: Willis Avenue Bridge – Pivot Pier

30

0 0 1 1 1 1 1

0 -155.9 90 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 0 540 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 0 360 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 0 180 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 0 0 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 0 -180 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 0 -360 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 0 -540 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 155.9 -90 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 155.9 90 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 270 467.7 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 254.6 254.6 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 254.6 -254.6 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 270 -467.7 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 360 0 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 467.7 270 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 467.7 -270 0 90 370

2 2 1 0 0 0 0 0

0 0 1 1 1 1 1

0 540 0 0 90 370

* Pile Properties

Page 32: Willis Avenue Bridge – Pivot Pier

31

1

0 1

100 1064 2

0 1064 1 29000000 0 0

* Pile Cross Sections

1

0 0 0

DrilledShaft 5ft

60 0 1 1 0 0 0.1 0.1

1 2827 123406 123406 0 2.75291E12 1E10 1E9 0 0

* Soil Layers

4

0 4

370 429

2 10

0.038 0 32 60 0 0 0 0.248 0 0

0.038 0 32 60 0 0 0 0.248 0 0

1 3

429 847

2 10

0.033 8.68 0 0 0 0.005 0 4.32 0 0

0.033 8.68 0 0 0 0.005 0 4.32 0 0

2 4

847 992

2 10

0.045 0 41 125 0 0 0 3.77 0 0

0.045 0 41 125 0 0 0 3.77 0 0

3 3

992 1400

2 10

0.045 1920 0 0 0 0.005 0 960 6650 0

0.045 1920 0 0 0 0.005 0 960 6650 0

* End of file

Page 33: Willis Avenue Bridge – Pivot Pier

32

Output file =========================================================================

GROUP for Windows, Version 2013.8.18

Serial Number : 155948612

Analysis of A Group of Piles

Subjected to Axial and Lateral Loading

(c) Copyright ENSOFT, Inc., 1987-2013

All Rights Reserved

=========================================================================

This program is licensed to :

Windows User

NorthEastern University

Path to file locations : C:\Users\demiryurek.a\Desktop\CIVE 7302\Assignment VI\

Name of input data file : 27pile_circular.gp8d

Name of output file : 27pile_circular.gp8o

Name of output summary file : 27pile_circular.gp8t

Name of plot output file : 27pile_circular.gp8p

Name of runtime file : 27pile_circular.gp8r

-------------------------------------------------------------------------

Time and Date of Analysis

-------------------------------------------------------------------------

Date: December 17, 2015 Time: 14:04:41

***** INPUT INFORMATION *****

New Group

ANALYSIS TYPE = 3D ANALYSIS

UNITS SYSTEM = ENGL

Page 34: Willis Avenue Bridge – Pivot Pier

33

* TABLE C * LOAD AND CONTROL PARAMETERS

** LOAD CASES **

NUMBER OF LOAD CASES : 1

LOAD CASE : 1

CASE NAME : Load Case

LOAD TYPE : Seismic, EQ

SCALE FACTOR : 1.0000

* CONCENTRATED LOADS *

NL VERT.LOAD HR.LOAD Y HR.LOAD Z MOMENT X MOMENT Y MOMENT Z COORD X COORD Y COORD Z

LBS LBS LBS LBS-IN LBS-IN LBS-IN IN IN IN

1 2.07E+07 7.87E+06 4.54E+06 1.19E+08 1.28E+09 -1.40E+09 0.00 0.00 0.00

* EQUIVALENT CONC. LOAD AT ORIGIN *

VER.LOAD X,LBS HOR.LOAD Y,LBS HOR.LOAD Z,LBS

2.07250E+07 7.87200E+06 4.53700E+06

MOMENT X,LBS-IN MOMENT Y,LBS-IN MOMENT Z,LBS-IN

1.19148E+08 1.27531E+09 -1.39639E+09

* THE LOADING IS CYCLIC *

NO. OF CYCLES = 5.

* CONTROL PARAMETERS *

TOLERANCE ON CONVERGENCE OF PILE CAP MOVEMENT = 1.00000E-04

TOLERANCE ON DETERMINATION OF PILE DEFLECTIONS = 1.00000E-04 IN

MAX NO OF ITERATIONS ALLOWED FOR FOUNDATION ANALYSIS = 100

MAXIMUM NO OF ITERATIONS ALLOWED FOR PILE ANALYSIS = 100

FACTOR TO APPLY THE LOAD IN INCREMENTS = 1.0000

MINIMUM FACTOR FOR LOAD INCREMENTS = 1.0000

INCLUDE VARIATION OF AXIAL LOAD AT PILES

* NOT FOR USER DEFINED LOAD SETTL. CURVE

PRINT RESULTS AT PILE CAP, PILE HEADS AND ALONG PILES

PRINT RESULTS EVERY 1 NODE(S)

* TABLE D * ARRANGEMENT OF PILE GROUPS

Page 35: Willis Avenue Bridge – Pivot Pier

34

GROUP CONNECTY CONNECTZ PILE PROP P-Y CURVE L-S CURVE T-R CURVE R-F-L SET

1 FIX FIX 1 0 0 0 0

2 FIX FIX 1 0 0 0 0

3 FIX FIX 1 0 0 0 0

4 FIX FIX 1 0 0 0 0

5 FIX FIX 1 0 0 0 0

6 FIX FIX 1 0 0 0 0

7 FIX FIX 1 0 0 0 0

8 FIX FIX 1 0 0 0 0

9 FIX FIX 1 0 0 0 0

10 FIX FIX 1 0 0 0 0

11 FIX FIX 1 0 0 0 0

12 FIX FIX 1 0 0 0 0

13 FIX FIX 1 0 0 0 0

14 FIX FIX 1 0 0 0 0

15 FIX FIX 1 0 0 0 0

16 FIX FIX 1 0 0 0 0

17 FIX FIX 1 0 0 0 0

18 FIX FIX 1 0 0 0 0

19 FIX FIX 1 0 0 0 0

20 FIX FIX 1 0 0 0 0

21 FIX FIX 1 0 0 0 0

22 FIX FIX 1 0 0 0 0

23 FIX FIX 1 0 0 0 0

24 FIX FIX 1 0 0 0 0

25 FIX FIX 1 0 0 0 0

26 FIX FIX 1 0 0 0 0

27 FIX FIX 1 0 0 0 0

GROUP CorX,IN CorY,IN CorZ,IN ALPHA,DEG BETA,DEG GROUND,IN SPy,LBS-IN SPz,LBS-IN

1 0.000 -540.0 0.000 0.000 90.00 370.0 0.000 0.000

2 0.000 -467.7 -270.0 0.000 90.00 370.0 0.000 0.000

3 0.000 -467.7 270.0 0.000 90.00 370.0 0.000 0.000

4 0.000 -360.0 0.000 0.000 90.00 370.0 0.000 0.000

5 0.000 -270.0 467.7 0.000 90.00 370.0 0.000 0.000

6 0.000 -254.6 254.6 0.000 90.00 370.0 0.000 0.000

7 0.000 -254.6 -254.6 0.000 90.00 370.0 0.000 0.000

8 0.000 -270.0 -467.7 0.000 90.00 370.0 0.000 0.000

9 0.000 -155.9 -90.00 0.000 90.00 370.0 0.000 0.000

10 0.000 -155.9 90.00 0.000 90.00 370.0 0.000 0.000

11 0.000 0.000 540.0 0.000 90.00 370.0 0.000 0.000

12 0.000 0.000 360.0 0.000 90.00 370.0 0.000 0.000

13 0.000 0.000 180.0 0.000 90.00 370.0 0.000 0.000

14 0.000 0.000 0.000 0.000 90.00 370.0 0.000 0.000

15 0.000 0.000 -180.0 0.000 90.00 370.0 0.000 0.000

16 0.000 0.000 -360.0 0.000 90.00 370.0 0.000 0.000

17 0.000 0.000 -540.0 0.000 90.00 370.0 0.000 0.000

18 0.000 155.9 -90.00 0.000 90.00 370.0 0.000 0.000

19 0.000 155.9 90.00 0.000 90.00 370.0 0.000 0.000

20 0.000 270.0 467.7 0.000 90.00 370.0 0.000 0.000

Page 36: Willis Avenue Bridge – Pivot Pier

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21 0.000 254.6 254.6 0.000 90.00 370.0 0.000 0.000

22 0.000 254.6 -254.6 0.000 90.00 370.0 0.000 0.000

23 0.000 270.0 -467.7 0.000 90.00 370.0 0.000 0.000

24 0.000 360.0 0.000 0.000 90.00 370.0 0.000 0.000

25 0.000 467.7 270.0 0.000 90.00 370.0 0.000 0.000

26 0.000 467.7 -270.0 0.000 90.00 370.0 0.000 0.000

27 0.000 540.0 0.000 0.000 90.00 370.0 0.000 0.000

* TABLE E * PILE GEOMETRY AND PROPERTIES

PILE TYPE = 1 - DRIVEN PILE

= 2 - DRILLED SHAFT

PROP SECTS INC PILE TYPE LENGTH, IN

1 1 100 2 1064.0

* PILE SECTIONS *

PROP SECT FROM,IN TO,IN CROSS SECT E,LBS/IN**2

1 1 0.00000 1064.00 1 2.90000E+07

* PILE CROSS SECTIONS *

CROSS SECTION : 1

SECTION NAME : DrilledShaft

CROSS SECTION TYPE : GENERAL SECTION

EQUIVALENT DIAMETER : 60.0000 IN

* PILE CROSS SECTIONS PROPERTIES *

SECT DIAM,IN AREA,IN**2 Iz,IN**4 Iy,IN**4 GJ,LBS-IN**2 Mn,LBS-IN Vn,LBS

1 60.000 2827.0 1.2341E+05 1.2341E+05 2.7529E+12 1.0000E+10 1.0000E+09

* TABLE F * SOIL DATA

SOILS INFORMATION

GROUND SURFACE = 370.000 IN

4 LAYER(S) OF SOIL

LAYER 1

THE SOIL IS A SAND

TOP OF LAYER BOTTOM OF LAYER

X COORDINATE (IN) 370.000 429.000

EFFECTIVE UNIT WEIGHT (LBS/IN**3) 0.0380000 0.0380000

FRICTION ANGLE (DEGREES) 32.0000 32.0000

Page 37: Willis Avenue Bridge – Pivot Pier

36

P-Y SUBGRADE MODULUS (LBS/IN**3) 60.0000 60.0000

ULTIMATE UNIT SIDE FRICTION (LBS/IN**2) 0.24800 0.24800

ULTIMATE UNIT TIP RESISTANCE (LBS/IN**2) 0.00000 0.00000

LAYER 2

THE SOIL IS A STIFF CLAY WITHOUT FREE WATER

TOP OF LAYER BOTTOM OF LAYER

X COORDINATE (IN) 429.000 847.000

EFFECTIVE UNIT WEIGHT (LBS/IN**3) 0.0330000 0.0330000

UNDRAINED COHESION, C (LBS/IN**2) 8.68000 8.68000

STRAIN AT 50% STRESS 5.00000E-03 5.00000E-03

ULTIMATE UNIT SIDE FRICTION (LBS/IN**2) 4.32000 4.32000

ULTIMATE UNIT TIP RESISTANCE (LBS/IN**2) 0.00000 0.00000

LAYER 3

THE SOIL IS A SAND

TOP OF LAYER BOTTOM OF LAYER

X COORDINATE (IN) 847.000 992.000

EFFECTIVE UNIT WEIGHT (LBS/IN**3) 0.0450000 0.0450000

FRICTION ANGLE (DEGREES) 41.0000 41.0000

P-Y SUBGRADE MODULUS (LBS/IN**3) 125.000 125.000

ULTIMATE UNIT SIDE FRICTION (LBS/IN**2) 3.77000 3.77000

ULTIMATE UNIT TIP RESISTANCE (LBS/IN**2) 0.00000 0.00000

LAYER 4

THE SOIL IS A STIFF CLAY WITHOUT FREE WATER

TOP OF LAYER BOTTOM OF LAYER

X COORDINATE (IN) 992.000 1400.00

EFFECTIVE UNIT WEIGHT (LBS/IN**3) 0.0450000 0.0450000

UNDRAINED COHESION, C (LBS/IN**2) 1920.00 1920.00

STRAIN AT 50% STRESS 5.00000E-03 5.00000E-03

ULTIMATE UNIT SIDE FRICTION (LBS/IN**2) 960.000 960.000

ULTIMATE UNIT TIP RESISTANCE (LBS/IN**2) 6650.00 6650.00

Notes : Program estimated values for

ULTIMATE UNIT SIDE FRICTION and ULTIMATE UNIT TIP RESISTANCE

if zero input values were entered.

(P) Driven Piles, (S) Drilled Shafts

* TABLE H * AXIAL LOAD VS DISPLACEMENT

AXIAL LOAD-DISPLACEMENT CURVES GENERATED INTERNALLY

NUM OF CURVES 1

CURVE 1 NUM OF POINTS 19

DISPLACEMENT, IN AXIAL LOAD,LBS

-3.15089 -1.21738E+07

Page 38: Willis Avenue Bridge – Pivot Pier

37

-1.15532 -1.25308E+07

-0.66435 -1.32576E+07

-0.21319 -9.15059E+06

-0.12483 -6.05713E+06

-0.0249611 -1.21359E+06

-0.0124806 -6.06796E+05

-2.49611E-03 -1.21359E+05

-2.49611E-04 -12135.9

0.00000 0.00000

2.83421E-04 14763.8

2.83421E-03 1.47638E+05

0.0141710 7.38189E+05

0.0283421 1.47638E+06

0.14177 7.36882E+06

0.24610 1.16944E+07

0.78746 2.27421E+07

1.33280 2.62061E+07

3.38754 3.04075E+07

* TABLE I * TORS. MOM. VS ANGLE ROT.

TORQUE-ROTATION CURVES GENERATED INTERNALLY

NUM OF CURVES 1

CURVE 1 NUM OF POINTS 19

ROT. ANGLE,Rad. TORS.MOMEN,LBS-IN

-0.20332 -3.70111E+08

-0.17196 -3.75459E+08

-0.16244 -3.94604E+08

-0.12064 -3.19117E+08

-0.0871794 -2.33947E+08

-0.0205655 -5.81538E+07

-0.0108338 -3.16325E+07

-2.27652E-03 -6.87883E+06

-2.27652E-04 -6.87883E+05

0.00000 0.00000

2.27652E-04 6.87883E+05

2.27652E-03 6.87883E+06

0.0108338 3.16325E+07

0.0205655 5.81538E+07

0.0871794 2.33947E+08

0.12064 3.19117E+08

0.16244 3.94604E+08

0.17196 3.75459E+08

0.20332 3.70111E+08

Page 39: Willis Avenue Bridge – Pivot Pier

38

***** COMPUTATION RESULTS *****

New Group

***** LOAD CASES RESULTS *****

LOAD CASE : 1

CASE NAME : Load Case

LOAD TYPE : Seismic, EQ

* TABLE L * COMPUTATION ON PILE CAP

* EQUIVALENT CONC. LOAD AT ORIGIN *

VERT. LOAD, LBS HOR. LOAD Y, LBS HOR. LOAD Z, LBS

2.07250E+07 7.87200E+06 4.53700E+06

MOMENT X ,IN-LBS MOMENT Y,IN-LBS MOMENT Z,IN-LBS

1.19148E+08 1.27531E+09 -1.39639E+09

* DISPLACEMENT OF GROUPED PILE FOUNDATION AT ORIGIN *

VERTICAL ,IN HORIZONTAL Y,IN HORIZONTAL Z,IN

0.0146804 3.48478 2.01088

ANGLE ROT. X,RAD ANGLE ROT. Y,RAD ANGLE ROT. Z,RAD

2.79616E-04 2.47745E-05 -3.63243E-05

NUMBER OF GLOBAL ITERATIONS = 6

* TABLE M * COMPUTATION ON INDIVIDUAL PILE

* PILE GROUP * 1

Page 40: Willis Avenue Bridge – Pivot Pier

39

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

-4.9348E-03 3.4848 1.8599 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

-2.3992E+05 2.9755E+05 1.5863E+05 8.4490E+05 -6.0519E+07 1.1357E+08

STR,LBS/IN**2

3.1368E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

-4.9348E-03 3.4848 1.8599 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

-2.3992E+05 2.9755E+05 1.5863E+05 8.4490E+05 -6.0519E+07 1.1357E+08

STR,LBS/IN**2

3.1368E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.4848 1.8599 -1.1357E+08 -6.0519E+07 2.9755E+05 1.5863E+05 0.0000 0.0000 3.1368E+04 3.5788E+12 3.5788E+12

10.640 3.4826 1.8587 -1.1040E+08 -5.8831E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 3.0496E+04 3.5788E+12 3.5788E+12

21.280 3.4769 1.8556 -1.0724E+08 -5.7144E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 2.9624E+04 3.5788E+12 3.5788E+12

31.920 3.4679 1.8507 -1.0407E+08 -5.5457E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 2.8752E+04 3.5788E+12 3.5788E+12

42.560 3.4555 1.8441 -1.0091E+08 -5.3770E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 2.7881E+04 3.5788E+12 3.5788E+12

53.200 3.4399 1.8357 -9.7745E+07 -5.2084E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 2.7010E+04 3.5788E+12 3.5788E+12

63.840 3.4213 1.8257 -9.4583E+07 -5.0399E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 2.6139E+04 3.5788E+12 3.5788E+12

74.480 3.3997 1.8141 -9.1422E+07 -4.8713E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 2.5268E+04 3.5788E+12 3.5788E+12

85.120 3.3751 1.8010 -8.8262E+07 -4.7028E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 2.4397E+04 3.5788E+12 3.5788E+12

95.760 3.3478 1.7864 -8.5102E+07 -4.5344E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 2.3527E+04 3.5788E+12 3.5788E+12

106.40 3.3178 1.7703 -8.1943E+07 -4.3660E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 2.2656E+04 3.5788E+12 3.5788E+12

117.04 3.2852 1.7529 -7.8784E+07 -4.1976E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 2.1786E+04 3.5788E+12 3.5788E+12

127.68 3.2501 1.7341 -7.5627E+07 -4.0292E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 2.0916E+04 3.5788E+12 3.5788E+12

138.32 3.2126 1.7141 -7.2469E+07 -3.8609E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 2.0046E+04 3.5788E+12 3.5788E+12

148.96 3.1728 1.6929 -6.9312E+07 -3.6926E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 1.9177E+04 3.5788E+12 3.5788E+12

159.60 3.1309 1.6704 -6.6156E+07 -3.5243E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 1.8307E+04 3.5788E+12 3.5788E+12

170.24 3.0868 1.6469 -6.3000E+07 -3.3561E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 1.7438E+04 3.5788E+12 3.5788E+12

180.88 3.0407 1.6223 -5.9845E+07 -3.1879E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 1.6569E+04 3.5788E+12 3.5788E+12

191.52 2.9928 1.5967 -5.6690E+07 -3.0197E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 1.5699E+04 3.5788E+12 3.5788E+12

Page 41: Willis Avenue Bridge – Pivot Pier

40

202.16 2.9430 1.5701 -5.3536E+07 -2.8515E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 1.4830E+04 3.5788E+12 3.5788E+12

212.80 2.8916 1.5427 -5.0382E+07 -2.6834E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 1.3962E+04 3.5788E+12 3.5788E+12

223.44 2.8386 1.5144 -4.7228E+07 -2.5153E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 1.3093E+04 3.5788E+12 3.5788E+12

234.08 2.7840 1.4852 -4.4075E+07 -2.3472E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 1.2224E+04 3.5788E+12 3.5788E+12

244.72 2.7281 1.4554 -4.0922E+07 -2.1791E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 1.1356E+04 3.5788E+12 3.5788E+12

255.36 2.6709 1.4248 -3.7770E+07 -2.0110E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 1.0487E+04 3.5788E+12 3.5788E+12

266.00 2.6125 1.3937 -3.4617E+07 -1.8429E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 9618.6 3.5788E+12 3.5788E+12

276.64 2.5530 1.3619 -3.1465E+07 -1.6749E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 8750.3 3.5788E+12 3.5788E+12

287.28 2.4925 1.3296 -2.8314E+07 -1.5069E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 7882.0 3.5788E+12 3.5788E+12

297.92 2.4311 1.2969 -2.5162E+07 -1.3389E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 7013.7 3.5788E+12 3.5788E+12

308.56 2.3689 1.2637 -2.2011E+07 -1.1708E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 6145.6 3.5788E+12 3.5788E+12

319.20 2.3060 1.2301 -1.8859E+07 -1.0028E+07 2.9759E+05 1.5865E+05 0.0000 0.0000 5277.4 3.5788E+12 3.5788E+12

329.84 2.2425 1.1962 -1.5708E+07 -8.3485E+06 2.9759E+05 1.5865E+05 0.0000 0.0000 4409.4 3.5788E+12 3.5788E+12

340.48 2.1785 1.1621 -1.2557E+07 -6.6687E+06 2.9759E+05 1.5865E+05 0.0000 0.0000 3541.3 3.5788E+12 3.5788E+12

351.12 2.1142 1.1277 -9.4064E+06 -4.9889E+06 2.9759E+05 1.5865E+05 0.0000 0.0000 2673.3 3.5788E+12 3.5788E+12

361.76 2.0495 1.0932 -6.2556E+06 -3.3091E+06 2.9759E+05 1.5865E+05 0.0000 0.0000 1805.3 3.5788E+12 3.5788E+12

372.40 1.9846 1.0586 -3.1048E+06 -1.6294E+06 2.9753E+05 1.5862E+05 11.212 5.9808 937.27 3.5788E+12 3.5788E+12

383.04 1.9196 1.0239 4.4663E+04 4.9680E+04 2.9708E+05 1.5838E+05 73.651 39.286 101.11 3.5788E+12 3.5788E+12

393.68 1.8547 0.9893 3.1858E+06 1.7243E+06 2.9584E+05 1.5772E+05 158.91 84.763 965.49 3.5788E+12 3.5788E+12

404.32 1.7898 0.9547 6.3089E+06 3.3893E+06 2.9357E+05 1.5651E+05 267.81 142.84 1825.9 3.5788E+12 3.5788E+12

414.96 1.7251 0.9202 9.4018E+06 5.0382E+06 2.9002E+05 1.5462E+05 398.77 212.70 2677.9 3.5788E+12 3.5788E+12

425.60 1.6607 0.8858 1.2450E+07 6.6630E+06 2.8495E+05 1.5191E+05 554.89 295.97 3517.6 3.5788E+12 3.5788E+12

436.24 1.5968 0.8517 1.5435E+07 8.2544E+06 2.7745E+05 1.4791E+05 854.31 455.67 4339.8 3.5788E+12 3.5788E+12

446.88 1.5333 0.8178 1.8323E+07 9.7942E+06 2.6822E+05 1.4299E+05 880.07 469.41 5135.5 3.5788E+12 3.5788E+12

457.52 1.4704 0.7842 2.1112E+07 1.1281E+07 2.5872E+05 1.3792E+05 904.73 482.55 5903.7 3.5788E+12 3.5788E+12

468.16 1.4081 0.7510 2.3799E+07 1.2713E+07 2.4897E+05 1.3272E+05 928.32 495.13 6643.7 3.5788E+12 3.5788E+12

478.80 1.3466 0.7182 2.6381E+07 1.4090E+07 2.3897E+05 1.2739E+05 950.87 507.15 7354.9 3.5788E+12 3.5788E+12

489.44 1.2860 0.6859 2.8855E+07 1.5409E+07 2.2874E+05 1.2193E+05 972.39 518.62 8036.5 3.5788E+12 3.5788E+12

500.08 1.2262 0.6540 3.1220E+07 1.6669E+07 2.1828E+05 1.1635E+05 992.87 529.54 8687.7 3.5788E+12 3.5788E+12

510.72 1.1675 0.6227 3.3472E+07 1.7869E+07 2.0761E+05 1.1066E+05 1012.3 539.90 9308.1 3.5788E+12 3.5788E+12

521.36 1.1098 0.5919 3.5610E+07 1.9009E+07 1.9674E+05 1.0486E+05 1030.7 549.70 9897.0 3.5788E+12 3.5788E+12

532.00 1.0532 0.5617 3.7632E+07 2.0086E+07 1.8568E+05 9.8966E+04 1048.0 558.92 1.0454E+04 3.5788E+12 3.5788E+12

542.64 0.9978 0.5322 3.9535E+07 2.1101E+07 1.7445E+05 9.2973E+04 1064.2 567.56 1.0978E+04 3.5788E+12 3.5788E+12

553.28 0.9437 0.5033 4.1318E+07 2.2051E+07 1.6304E+05 8.6890E+04 1079.3 575.60 1.1469E+04 3.5788E+12 3.5788E+12

563.92 0.8909 0.4751 4.2979E+07 2.2936E+07 1.5148E+05 8.0726E+04 1093.2 583.04 1.1927E+04 3.5788E+12 3.5788E+12

574.56 0.8394 0.4477 4.4517E+07 2.3756E+07 1.3978E+05 7.4485E+04 1106.0 589.86 1.2350E+04 3.5788E+12 3.5788E+12

585.20 0.7893 0.4210 4.5929E+07 2.4509E+07 1.2795E+05 6.8176E+04 1117.7 596.05 1.2739E+04 3.5788E+12 3.5788E+12

595.84 0.7407 0.3950 4.7216E+07 2.5194E+07 1.1600E+05 6.1804E+04 1128.1 601.60 1.3093E+04 3.5788E+12 3.5788E+12

606.48 0.6936 0.3699 4.8375E+07 2.5812E+07 1.0395E+05 5.5376E+04 1137.3 606.50 1.3413E+04 3.5788E+12 3.5788E+12

617.12 0.6481 0.3456 4.9406E+07 2.6361E+07 9.1805E+04 4.8900E+04 1145.2 610.73 1.3697E+04 3.5788E+12 3.5788E+12

627.76 0.6040 0.3221 5.0308E+07 2.6841E+07 7.9584E+04 4.2382E+04 1151.9 614.28 1.3945E+04 3.5788E+12 3.5788E+12

638.40 0.5616 0.2995 5.1080E+07 2.7252E+07 6.7299E+04 3.5831E+04 1157.2 617.13 1.4157E+04 3.5788E+12 3.5788E+12

649.04 0.5208 0.2777 5.1721E+07 2.7593E+07 5.4963E+04 2.9252E+04 1161.3 619.28 1.4334E+04 3.5788E+12 3.5788E+12

659.68 0.4816 0.2568 5.2230E+07 2.7864E+07 4.2592E+04 2.2655E+04 1163.9 620.69 1.4474E+04 3.5788E+12 3.5788E+12

670.32 0.4441 0.2368 5.2609E+07 2.8066E+07 3.0200E+04 1.6047E+04 1165.2 621.37 1.4578E+04 3.5788E+12 3.5788E+12

680.96 0.4083 0.2177 5.2856E+07 2.8197E+07 1.7803E+04 9435.7 1165.1 621.29 1.4646E+04 3.5788E+12 3.5788E+12

691.60 0.3741 0.1995 5.2971E+07 2.8258E+07 5413.8 2829.3 1163.5 620.44 1.4678E+04 3.5788E+12 3.5788E+12

702.24 0.3416 0.1821 5.2955E+07 2.8249E+07 -6950.1 -3763.7 1160.4 618.79 1.4673E+04 3.5788E+12 3.5788E+12

712.88 0.3107 0.1657 5.2809E+07 2.8170E+07 -1.9273E+04 -1.0335E+04 1155.8 616.34 1.4633E+04 3.5788E+12 3.5788E+12

723.52 0.2816 0.1501 5.2531E+07 2.8021E+07 -3.1539E+04 -1.6876E+04 1149.7 613.05 1.4556E+04 3.5788E+12 3.5788E+12

734.16 0.2541 0.1355 5.2124E+07 2.7804E+07 -4.3731E+04 -2.3377E+04 1142.0 608.92 1.4444E+04 3.5788E+12 3.5788E+12

744.80 0.2282 0.1217 5.1588E+07 2.7517E+07 -5.5832E+04 -2.9829E+04 1132.6 603.92 1.4296E+04 3.5788E+12 3.5788E+12

755.44 0.2040 0.1088 5.0925E+07 2.7163E+07 -6.7825E+04 -3.6224E+04 1121.5 598.02 1.4113E+04 3.5788E+12 3.5788E+12

766.08 0.1814 9.6717E-02 5.0134E+07 2.6740E+07 -7.9690E+04 -4.2551E+04 1108.8 591.21 1.3895E+04 3.5788E+12 3.5788E+12

776.72 0.1604 8.5505E-02 4.9219E+07 2.6252E+07 -9.1411E+04 -4.8800E+04 1094.3 583.45 1.3643E+04 3.5788E+12 3.5788E+12

787.36 0.1409 7.5125E-02 4.8179E+07 2.5697E+07 -1.0297E+05 -5.4962E+04 1077.9 574.73 1.3356E+04 3.5788E+12 3.5788E+12

798.00 0.1230 6.5557E-02 4.7019E+07 2.5077E+07 -1.1434E+05 -6.1026E+04 1059.7 565.00 1.3036E+04 3.5788E+12 3.5788E+12

808.64 0.1065 5.6783E-02 4.5738E+07 2.4394E+07 -1.2551E+05 -6.6980E+04 1039.5 554.25 1.2683E+04 3.5788E+12 3.5788E+12

819.28 9.1492E-02 4.8780E-02 4.4341E+07 2.3648E+07 -1.3645E+05 -7.2815E+04 1017.4 542.44 1.2298E+04 3.5788E+12 3.5788E+12

Page 42: Willis Avenue Bridge – Pivot Pier

41

829.92 7.7887E-02 4.1525E-02 4.2828E+07 2.2841E+07 -1.4715E+05 -7.8518E+04 993.22 529.53 1.1881E+04 3.5788E+12 3.5788E+12

840.56 6.5637E-02 3.4993E-02 4.1203E+07 2.1974E+07 -1.5758E+05 -8.4077E+04 966.91 515.49 1.1434E+04 3.5788E+12 3.5788E+12

851.20 5.4690E-02 2.9156E-02 3.9470E+07 2.1049E+07 -1.7101E+05 -9.1237E+04 1557.4 830.30 1.0956E+04 3.5788E+12 3.5788E+12

861.84 4.4991E-02 2.3985E-02 3.7560E+07 2.0030E+07 -1.8710E+05 -9.9819E+04 1468.5 782.84 1.0430E+04 3.5788E+12 3.5788E+12

872.48 3.6481E-02 1.9447E-02 3.5484E+07 1.8923E+07 -2.0151E+05 -1.0750E+05 1239.2 660.61 9857.6 3.5788E+12 3.5788E+12

883.12 2.9093E-02 1.5508E-02 3.3268E+07 1.7741E+07 -2.1356E+05 -1.1393E+05 1026.9 547.43 9247.0 3.5788E+12 3.5788E+12

893.76 2.2757E-02 1.2131E-02 3.0936E+07 1.6497E+07 -2.2346E+05 -1.1920E+05 833.58 444.33 8604.5 3.5788E+12 3.5788E+12

904.40 1.7400E-02 9.2747E-03 2.8510E+07 1.5203E+07 -2.3141E+05 -1.2344E+05 660.50 352.06 7936.0 3.5788E+12 3.5788E+12

915.04 1.2945E-02 6.8998E-03 2.6009E+07 1.3869E+07 -2.3763E+05 -1.2675E+05 508.61 271.09 7247.0 3.5788E+12 3.5788E+12

925.68 9.3131E-03 4.9635E-03 2.3451E+07 1.2504E+07 -2.4235E+05 -1.2927E+05 378.29 201.61 6542.2 3.5788E+12 3.5788E+12

936.32 6.4227E-03 3.4228E-03 2.0851E+07 1.1117E+07 -2.4580E+05 -1.3110E+05 269.43 143.58 5825.6 3.5788E+12 3.5788E+12

946.96 4.1919E-03 2.2337E-03 1.8220E+07 9.7137E+06 -2.4819E+05 -1.3238E+05 181.42 96.674 5100.7 3.5788E+12 3.5788E+12

957.60 2.5375E-03 1.3520E-03 1.5568E+07 8.2995E+06 -2.4976E+05 -1.3322E+05 113.19 60.310 4370.1 3.5788E+12 3.5788E+12

968.24 1.3755E-03 7.3275E-04 1.2904E+07 6.8785E+06 -2.5070E+05 -1.3372E+05 63.188 33.662 3636.1 3.5788E+12 3.5788E+12

978.88 6.2167E-04 3.3112E-04 1.0233E+07 5.4537E+06 -2.5119E+05 -1.3398E+05 29.386 15.652 2900.1 3.5788E+12 3.5788E+12

989.52 1.9158E-04 1.0202E-04 7.5583E+06 4.0273E+06 -2.5140E+05 -1.3409E+05 9.3105 4.9578 2163.2 3.5788E+12 3.5788E+12

1000.2 5.8159E-07 3.0714E-07 4.8829E+06 2.6002E+06 -2.7555E+05 -1.4685E+05 4531.2 2393.0 1414.2 3.5788E+12 3.5788E+12

1010.8 -3.5952E-05 -1.9146E-05 1.6945E+06 9.0233E+05 -2.3035E+05 -1.2267E+05 -1.3028E+04 -6937.8 524.29 3.5788E+12 3.5788E+12

1021.4 -1.8882E-05 -1.0055E-05 -1.9038E+04 -1.0158E+04 -1.0043E+05 -5.3480E+04 -1.1394E+04 -6067.7 51.195 3.5788E+12 3.5788E+12

1032.1 -2.4140E-06 -1.2855E-06 -4.4265E+05 -2.3572E+05 -2841.5 -1512.1 -6949.5 -3700.7 156.31 3.5788E+12 3.5788E+12

1042.7 5.1171E-08 2.7251E-08 -7.9502E+04 -4.2336E+04 2.0873E+04 1.1115E+04 2492.0 1327.1 44.798 3.5788E+12 3.5788E+12

1053.4 1.4006E-09 7.4584E-10 1529.1 814.29 3736.0 1989.5 729.27 388.34 11.866 3.5788E+12 3.5788E+12

1064.0 -2.4564E-14 -1.3081E-14 -3.5463E-15 9.5440E-16 3.4856E-15 -6.8763E-15 -27.013 -14.386 6.1231E-07 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 2

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

-8.9976E-03 3.5603 1.8801 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

-4.3746E+05 3.0315E+05 1.5991E+05 8.4490E+05 -6.0960E+07 1.1562E+08

STR,LBS/IN**2

3.1930E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

-8.9976E-03 3.5603 1.8801 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

-4.3746E+05 3.0315E+05 1.5991E+05 8.4490E+05 -6.0960E+07 1.1562E+08

STR,LBS/IN**2

3.1930E+04

Page 43: Willis Avenue Bridge – Pivot Pier

42

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.5603 1.8801 -1.1562E+08 -6.0960E+07 3.0315E+05 1.5990E+05 0.0000 0.0000 3.1930E+04 3.5788E+12 3.5788E+12

10.640 3.5581 1.8789 -1.1240E+08 -5.9259E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 3.1043E+04 3.5788E+12 3.5788E+12

21.280 3.5523 1.8758 -1.0917E+08 -5.7558E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 3.0157E+04 3.5788E+12 3.5788E+12

31.920 3.5431 1.8709 -1.0595E+08 -5.5859E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 2.9272E+04 3.5788E+12 3.5788E+12

42.560 3.5305 1.8642 -1.0273E+08 -5.4160E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 2.8386E+04 3.5788E+12 3.5788E+12

53.200 3.5147 1.8558 -9.9510E+07 -5.2462E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 2.7502E+04 3.5788E+12 3.5788E+12

63.840 3.4957 1.8457 -9.6292E+07 -5.0764E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 2.6617E+04 3.5788E+12 3.5788E+12

74.480 3.4737 1.8340 -9.3075E+07 -4.9068E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 2.5733E+04 3.5788E+12 3.5788E+12

85.120 3.4487 1.8208 -8.9860E+07 -4.7372E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 2.4849E+04 3.5788E+12 3.5788E+12

95.760 3.4209 1.8061 -8.6646E+07 -4.5676E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 2.3966E+04 3.5788E+12 3.5788E+12

106.40 3.3904 1.7899 -8.3433E+07 -4.3982E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 2.3083E+04 3.5788E+12 3.5788E+12

117.04 3.3572 1.7724 -8.0221E+07 -4.2288E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 2.2200E+04 3.5788E+12 3.5788E+12

127.68 3.3214 1.7535 -7.7011E+07 -4.0594E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 2.1318E+04 3.5788E+12 3.5788E+12

138.32 3.2833 1.7333 -7.3801E+07 -3.8901E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 2.0436E+04 3.5788E+12 3.5788E+12

148.96 3.2428 1.7119 -7.0592E+07 -3.7209E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 1.9554E+04 3.5788E+12 3.5788E+12

159.60 3.2001 1.6893 -6.7385E+07 -3.5517E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 1.8672E+04 3.5788E+12 3.5788E+12

170.24 3.1552 1.6656 -6.4178E+07 -3.3825E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 1.7791E+04 3.5788E+12 3.5788E+12

180.88 3.1083 1.6408 -6.0972E+07 -3.2134E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 1.6910E+04 3.5788E+12 3.5788E+12

191.52 3.0595 1.6150 -5.7768E+07 -3.0444E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 1.6029E+04 3.5788E+12 3.5788E+12

202.16 3.0088 1.5883 -5.4563E+07 -2.8754E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 1.5148E+04 3.5788E+12 3.5788E+12

212.80 2.9565 1.5606 -5.1360E+07 -2.7064E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 1.4268E+04 3.5788E+12 3.5788E+12

223.44 2.9025 1.5321 -4.8157E+07 -2.5375E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 1.3388E+04 3.5788E+12 3.5788E+12

234.08 2.8470 1.5027 -4.4955E+07 -2.3686E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 1.2508E+04 3.5788E+12 3.5788E+12

244.72 2.7900 1.4727 -4.1754E+07 -2.1997E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 1.1628E+04 3.5788E+12 3.5788E+12

255.36 2.7318 1.4419 -3.8553E+07 -2.0309E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 1.0748E+04 3.5788E+12 3.5788E+12

266.00 2.6723 1.4105 -3.5353E+07 -1.8621E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 9868.3 3.5788E+12 3.5788E+12

276.64 2.6117 1.3785 -3.2153E+07 -1.6933E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 8988.9 3.5788E+12 3.5788E+12

287.28 2.5501 1.3459 -2.8954E+07 -1.5246E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 8109.6 3.5788E+12 3.5788E+12

297.92 2.4875 1.3129 -2.5755E+07 -1.3558E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 7230.4 3.5788E+12 3.5788E+12

308.56 2.4242 1.2795 -2.2557E+07 -1.1871E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 6351.3 3.5788E+12 3.5788E+12

319.20 2.3601 1.2456 -1.9358E+07 -1.0184E+07 3.0322E+05 1.5994E+05 0.0000 0.0000 5472.2 3.5788E+12 3.5788E+12

329.84 2.2954 1.2115 -1.6160E+07 -8.4973E+06 3.0322E+05 1.5994E+05 0.0000 0.0000 4593.3 3.5788E+12 3.5788E+12

340.48 2.2302 1.1771 -1.2963E+07 -6.8106E+06 3.0322E+05 1.5994E+05 0.0000 0.0000 3714.4 3.5788E+12 3.5788E+12

351.12 2.1647 1.1424 -9.7650E+06 -5.1240E+06 3.0322E+05 1.5994E+05 0.0000 0.0000 2835.6 3.5788E+12 3.5788E+12

361.76 2.0987 1.1076 -6.5675E+06 -3.4374E+06 3.0322E+05 1.5994E+05 0.0000 0.0000 1956.8 3.5788E+12 3.5788E+12

372.40 2.0326 1.0727 -3.3702E+06 -1.7509E+06 3.0316E+05 1.5991E+05 11.241 5.9324 1078.0 3.5788E+12 3.5788E+12

383.04 1.9664 1.0378 -1.7416E+05 -6.5098E+04 3.0270E+05 1.5967E+05 74.570 39.355 199.94 3.5788E+12 3.5788E+12

393.68 1.9002 1.0028 3.0134E+06 1.6163E+06 3.0145E+05 1.5901E+05 160.74 84.828 986.01 3.5788E+12 3.5788E+12

404.32 1.8341 0.9679 6.1829E+06 3.2880E+06 2.9916E+05 1.5780E+05 270.72 142.87 1857.1 3.5788E+12 3.5788E+12

414.96 1.7681 0.9331 9.3217E+06 4.9437E+06 2.9557E+05 1.5591E+05 403.05 212.71 2719.8 3.5788E+12 3.5788E+12

425.60 1.7025 0.8985 1.2415E+07 6.5753E+06 2.9044E+05 1.5320E+05 560.77 295.94 3570.0 3.5788E+12 3.5788E+12

436.24 1.6372 0.8640 1.5445E+07 8.1735E+06 2.8288E+05 1.4921E+05 861.19 454.47 4402.6 3.5788E+12 3.5788E+12

446.88 1.5725 0.8298 1.8378E+07 9.7204E+06 2.7357E+05 1.4430E+05 887.20 468.20 5208.5 3.5788E+12 3.5788E+12

457.52 1.5083 0.7960 2.1210E+07 1.1214E+07 2.6400E+05 1.3924E+05 912.11 481.34 5986.8 3.5788E+12 3.5788E+12

468.16 1.4448 0.7624 2.3940E+07 1.2654E+07 2.5416E+05 1.3405E+05 935.95 493.91 6736.9 3.5788E+12 3.5788E+12

478.80 1.3821 0.7293 2.6564E+07 1.4038E+07 2.4408E+05 1.2873E+05 958.74 505.94 7457.9 3.5788E+12 3.5788E+12

489.44 1.3201 0.6966 2.9080E+07 1.5365E+07 2.3376E+05 1.2329E+05 980.50 517.42 8149.1 3.5788E+12 3.5788E+12

500.08 1.2592 0.6645 3.1485E+07 1.6633E+07 2.2322E+05 1.1772E+05 1001.2 528.35 8810.0 3.5788E+12 3.5788E+12

510.72 1.1992 0.6328 3.3777E+07 1.7842E+07 2.1245E+05 1.1204E+05 1020.9 538.72 9439.9 3.5788E+12 3.5788E+12

521.36 1.1402 0.6017 3.5955E+07 1.8990E+07 2.0149E+05 1.0626E+05 1039.5 548.54 1.0038E+04 3.5788E+12 3.5788E+12

Page 44: Willis Avenue Bridge – Pivot Pier

43

532.00 1.0825 0.5712 3.8015E+07 2.0077E+07 1.9033E+05 1.0037E+05 1057.0 557.78 1.0604E+04 3.5788E+12 3.5788E+12

542.64 1.0259 0.5413 3.9955E+07 2.1100E+07 1.7900E+05 9.4388E+04 1073.5 566.45 1.1137E+04 3.5788E+12 3.5788E+12

553.28 0.9706 0.5121 4.1775E+07 2.2060E+07 1.6749E+05 8.8317E+04 1088.8 574.53 1.1637E+04 3.5788E+12 3.5788E+12

563.92 0.9166 0.4836 4.3473E+07 2.2955E+07 1.5583E+05 8.2163E+04 1103.0 582.00 1.2104E+04 3.5788E+12 3.5788E+12

574.56 0.8639 0.4559 4.5045E+07 2.3784E+07 1.4402E+05 7.5933E+04 1116.0 588.87 1.2536E+04 3.5788E+12 3.5788E+12

585.20 0.8127 0.4288 4.6493E+07 2.4547E+07 1.3208E+05 6.9633E+04 1127.8 595.11 1.2933E+04 3.5788E+12 3.5788E+12

595.84 0.7630 0.4026 4.7813E+07 2.5243E+07 1.2003E+05 6.3270E+04 1138.5 600.71 1.3296E+04 3.5788E+12 3.5788E+12

606.48 0.7148 0.3772 4.9005E+07 2.5871E+07 1.0786E+05 5.6851E+04 1147.9 605.67 1.3623E+04 3.5788E+12 3.5788E+12

617.12 0.6681 0.3525 5.0067E+07 2.6431E+07 9.5602E+04 5.0383E+04 1156.0 609.96 1.3915E+04 3.5788E+12 3.5788E+12

627.76 0.6230 0.3287 5.1000E+07 2.6922E+07 8.3264E+04 4.3873E+04 1162.9 613.58 1.4171E+04 3.5788E+12 3.5788E+12

638.40 0.5796 0.3058 5.1801E+07 2.7345E+07 7.0860E+04 3.7328E+04 1168.4 616.51 1.4391E+04 3.5788E+12 3.5788E+12

649.04 0.5378 0.2837 5.2471E+07 2.7698E+07 5.8404E+04 3.0756E+04 1172.7 618.73 1.4575E+04 3.5788E+12 3.5788E+12

659.68 0.4976 0.2625 5.3009E+07 2.7981E+07 4.5910E+04 2.4163E+04 1175.5 620.24 1.4723E+04 3.5788E+12 3.5788E+12

670.32 0.4591 0.2422 5.3414E+07 2.8194E+07 3.3393E+04 1.7559E+04 1177.0 621.00 1.4834E+04 3.5788E+12 3.5788E+12

680.96 0.4223 0.2228 5.3687E+07 2.8337E+07 2.0868E+04 1.0951E+04 1177.0 621.02 1.4909E+04 3.5788E+12 3.5788E+12

691.60 0.3872 0.2043 5.3828E+07 2.8411E+07 8350.8 4346.6 1175.6 620.27 1.4947E+04 3.5788E+12 3.5788E+12

702.24 0.3538 0.1867 5.3836E+07 2.8414E+07 -4143.6 -2245.6 1172.7 618.73 1.4949E+04 3.5788E+12 3.5788E+12

712.88 0.3221 0.1699 5.3712E+07 2.8348E+07 -1.6599E+04 -8817.1 1168.3 616.39 1.4915E+04 3.5788E+12 3.5788E+12

723.52 0.2921 0.1541 5.3456E+07 2.8213E+07 -2.8999E+04 -1.5359E+04 1162.3 613.23 1.4844E+04 3.5788E+12 3.5788E+12

734.16 0.2638 0.1392 5.3070E+07 2.8009E+07 -4.1327E+04 -2.1863E+04 1154.7 609.22 1.4738E+04 3.5788E+12 3.5788E+12

744.80 0.2371 0.1251 5.2554E+07 2.7735E+07 -5.3565E+04 -2.8320E+04 1145.5 604.35 1.4596E+04 3.5788E+12 3.5788E+12

755.44 0.2122 0.1119 5.1908E+07 2.7394E+07 -6.5697E+04 -3.4720E+04 1134.6 598.59 1.4418E+04 3.5788E+12 3.5788E+12

766.08 0.1889 9.9634E-02 5.1135E+07 2.6986E+07 -7.7703E+04 -4.1054E+04 1122.0 591.92 1.4206E+04 3.5788E+12 3.5788E+12

776.72 0.1672 8.8181E-02 5.0236E+07 2.6511E+07 -8.9565E+04 -4.7312E+04 1107.6 584.32 1.3958E+04 3.5788E+12 3.5788E+12

787.36 0.1470 7.7566E-02 4.9211E+07 2.5970E+07 -1.0126E+05 -5.3484E+04 1091.4 575.75 1.3677E+04 3.5788E+12 3.5788E+12

798.00 0.1285 6.7773E-02 4.8064E+07 2.5364E+07 -1.1278E+05 -5.9559E+04 1073.3 566.19 1.3361E+04 3.5788E+12 3.5788E+12

808.64 0.1114 5.8782E-02 4.6796E+07 2.4694E+07 -1.2409E+05 -6.5528E+04 1053.2 555.61 1.3012E+04 3.5788E+12 3.5788E+12

819.28 9.5870E-02 5.0573E-02 4.5410E+07 2.3962E+07 -1.3518E+05 -7.1378E+04 1031.2 543.97 1.2631E+04 3.5788E+12 3.5788E+12

829.92 8.1746E-02 4.3121E-02 4.3907E+07 2.3169E+07 -1.4603E+05 -7.7098E+04 1007.1 531.24 1.2218E+04 3.5788E+12 3.5788E+12

840.56 6.9011E-02 3.6402E-02 4.2291E+07 2.2316E+07 -1.5660E+05 -8.2677E+04 980.84 517.38 1.1773E+04 3.5788E+12 3.5788E+12

851.20 5.7614E-02 3.0390E-02 4.0564E+07 2.1404E+07 -1.7034E+05 -8.9921E+04 1600.7 844.35 1.1299E+04 3.5788E+12 3.5788E+12

861.84 4.7500E-02 2.5054E-02 3.8657E+07 2.0397E+07 -1.8710E+05 -9.8764E+04 1550.3 817.75 1.0774E+04 3.5788E+12 3.5788E+12

872.48 3.8609E-02 2.0364E-02 3.6575E+07 1.9298E+07 -2.0233E+05 -1.0679E+05 1311.5 691.74 1.0202E+04 3.5788E+12 3.5788E+12

883.12 3.0874E-02 1.6284E-02 3.4345E+07 1.8121E+07 -2.1510E+05 -1.1353E+05 1089.8 574.81 9588.8 3.5788E+12 3.5788E+12

893.76 2.4227E-02 1.2777E-02 3.1992E+07 1.6879E+07 -2.2562E+05 -1.1908E+05 887.40 468.02 8941.9 3.5788E+12 3.5788E+12

904.40 1.8591E-02 9.8045E-03 2.9538E+07 1.5584E+07 -2.3410E+05 -1.2355E+05 705.70 372.17 8267.5 3.5788E+12 3.5788E+12

915.04 1.3890E-02 7.3247E-03 2.7006E+07 1.4248E+07 -2.4075E+05 -1.2706E+05 545.71 287.78 7571.2 3.5788E+12 3.5788E+12

925.68 1.0043E-02 5.2957E-03 2.4411E+07 1.2878E+07 -2.4583E+05 -1.2974E+05 407.92 215.11 6858.1 3.5788E+12 3.5788E+12

936.32 6.9679E-03 3.6740E-03 2.1771E+07 1.1485E+07 -2.4955E+05 -1.3170E+05 292.30 154.12 6132.3 3.5788E+12 3.5788E+12

946.96 4.5818E-03 2.4157E-03 1.9099E+07 1.0075E+07 -2.5216E+05 -1.3308E+05 198.30 104.55 5397.6 3.5788E+12 3.5788E+12

957.60 2.7999E-03 1.4760E-03 1.6404E+07 8.6524E+06 -2.5388E+05 -1.3398E+05 124.90 65.844 4656.7 3.5788E+12 3.5788E+12

968.24 1.5369E-03 8.1009E-04 1.3695E+07 7.2228E+06 -2.5492E+05 -1.3453E+05 70.603 37.215 3912.1 3.5788E+12 3.5788E+12

978.88 7.0708E-04 3.7264E-04 1.0978E+07 5.7891E+06 -2.5548E+05 -1.3482E+05 33.423 17.614 3165.2 3.5788E+12 3.5788E+12

989.52 2.2456E-04 1.1831E-04 8.2577E+06 4.3535E+06 -2.5571E+05 -1.3495E+05 10.913 5.7500 2417.4 3.5788E+12 3.5788E+12

1000.2 3.2551E-06 1.7067E-06 5.5362E+06 2.9172E+06 -2.9260E+05 -1.5429E+05 6922.7 3629.7 1647.7 3.5788E+12 3.5788E+12

1010.8 -4.2917E-05 -2.2618E-05 2.0310E+06 1.0701E+06 -2.5678E+05 -1.3531E+05 -1.3655E+04 -7196.5 663.09 3.5788E+12 3.5788E+12

1021.4 -2.4840E-05 -1.3090E-05 7.1796E+04 3.7765E+04 -1.1897E+05 -6.2686E+04 -1.2250E+04 -6455.3 103.50 3.5788E+12 3.5788E+12

1032.1 -4.4919E-06 -2.3669E-06 -5.0061E+05 -2.6382E+05 -1.0095E+04 -5316.4 -8214.8 -4328.5 200.28 3.5788E+12 3.5788E+12

1042.7 1.9912E-08 1.0495E-08 -1.4303E+05 -7.5365E+04 2.3533E+04 1.2402E+04 1893.6 998.08 81.059 3.5788E+12 3.5788E+12

1053.4 7.1911E-09 3.7892E-09 174.81 92.202 6721.3 3541.6 1266.5 667.34 20.916 3.5788E+12 3.5788E+12

1064.0 -4.2674E-16 -2.2508E-16 -2.3238E-15 -1.5832E-15 1.4997E-15 -1.2596E-15 -3.0882 -1.6289 1.1164E-06 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 3

* PILE TOP DISPLACEMENTS AND REACTIONS *

Page 45: Willis Avenue Bridge – Pivot Pier

44

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

4.3806E-03 3.4093 1.8801 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

2.2819E+05 2.9037E+05 1.5997E+05 8.4490E+05 -6.1320E+07 1.1134E+08

STR,LBS/IN**2

3.0982E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

4.3806E-03 3.4093 1.8801 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

2.2819E+05 2.9037E+05 1.5997E+05 8.4490E+05 -6.1320E+07 1.1134E+08

STR,LBS/IN**2

3.0982E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.4093 1.8801 -1.1134E+08 -6.1320E+07 2.9037E+05 1.5998E+05 0.0000 0.0000 3.0982E+04 3.5788E+12 3.5788E+12

10.640 3.4071 1.8789 -1.0825E+08 -5.9618E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 3.0124E+04 3.5788E+12 3.5788E+12

21.280 3.4016 1.8758 -1.0516E+08 -5.7916E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 2.9267E+04 3.5788E+12 3.5788E+12

31.920 3.3927 1.8708 -1.0207E+08 -5.6213E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 2.8409E+04 3.5788E+12 3.5788E+12

42.560 3.3805 1.8641 -9.8981E+07 -5.4509E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 2.7551E+04 3.5788E+12 3.5788E+12

53.200 3.3653 1.8556 -9.5889E+07 -5.2805E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 2.6692E+04 3.5788E+12 3.5788E+12

63.840 3.3470 1.8455 -9.2795E+07 -5.1101E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 2.5834E+04 3.5788E+12 3.5788E+12

74.480 3.3258 1.8338 -8.9701E+07 -4.9396E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 2.4975E+04 3.5788E+12 3.5788E+12

85.120 3.3017 1.8204 -8.6607E+07 -4.7692E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 2.4116E+04 3.5788E+12 3.5788E+12

95.760 3.2749 1.8056 -8.3511E+07 -4.5986E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 2.3257E+04 3.5788E+12 3.5788E+12

106.40 3.2454 1.7894 -8.0416E+07 -4.4281E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 2.2398E+04 3.5788E+12 3.5788E+12

117.04 3.2135 1.7717 -7.7319E+07 -4.2575E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 2.1538E+04 3.5788E+12 3.5788E+12

127.68 3.1790 1.7527 -7.4222E+07 -4.0868E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 2.0679E+04 3.5788E+12 3.5788E+12

138.32 3.1422 1.7324 -7.1124E+07 -3.9162E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 1.9819E+04 3.5788E+12 3.5788E+12

148.96 3.1032 1.7108 -6.8026E+07 -3.7455E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 1.8959E+04 3.5788E+12 3.5788E+12

159.60 3.0620 1.6881 -6.4928E+07 -3.5748E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 1.8099E+04 3.5788E+12 3.5788E+12

170.24 3.0188 1.6642 -6.1829E+07 -3.4041E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 1.7239E+04 3.5788E+12 3.5788E+12

180.88 2.9736 1.6393 -5.8729E+07 -3.2333E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 1.6378E+04 3.5788E+12 3.5788E+12

191.52 2.9265 1.6133 -5.5629E+07 -3.0625E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 1.5518E+04 3.5788E+12 3.5788E+12

202.16 2.8777 1.5864 -5.2529E+07 -2.8917E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 1.4658E+04 3.5788E+12 3.5788E+12

212.80 2.8272 1.5586 -4.9428E+07 -2.7209E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 1.3797E+04 3.5788E+12 3.5788E+12

223.44 2.7752 1.5299 -4.6327E+07 -2.5500E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 1.2936E+04 3.5788E+12 3.5788E+12

Page 46: Willis Avenue Bridge – Pivot Pier

45

234.08 2.7217 1.5003 -4.3226E+07 -2.3792E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 1.2076E+04 3.5788E+12 3.5788E+12

244.72 2.6668 1.4701 -4.0124E+07 -2.2083E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 1.1215E+04 3.5788E+12 3.5788E+12

255.36 2.6107 1.4391 -3.7022E+07 -2.0374E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 1.0354E+04 3.5788E+12 3.5788E+12

266.00 2.5534 1.4075 -3.3920E+07 -1.8665E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 9492.6 3.5788E+12 3.5788E+12

276.64 2.4950 1.3753 -3.0818E+07 -1.6956E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 8631.5 3.5788E+12 3.5788E+12

287.28 2.4356 1.3426 -2.7715E+07 -1.5246E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 7770.4 3.5788E+12 3.5788E+12

297.92 2.3754 1.3094 -2.4612E+07 -1.3537E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 6909.2 3.5788E+12 3.5788E+12

308.56 2.3144 1.2757 -2.1509E+07 -1.1827E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 6047.9 3.5788E+12 3.5788E+12

319.20 2.2527 1.2417 -1.8406E+07 -1.0117E+07 2.9034E+05 1.5995E+05 0.0000 0.0000 5186.6 3.5788E+12 3.5788E+12

329.84 2.1904 1.2074 -1.5302E+07 -8.4076E+06 2.9034E+05 1.5995E+05 0.0000 0.0000 4325.2 3.5788E+12 3.5788E+12

340.48 2.1276 1.1728 -1.2199E+07 -6.6978E+06 2.9034E+05 1.5995E+05 0.0000 0.0000 3463.8 3.5788E+12 3.5788E+12

351.12 2.0645 1.1379 -9.0952E+06 -4.9880E+06 2.9034E+05 1.5995E+05 0.0000 0.0000 2602.4 3.5788E+12 3.5788E+12

361.76 2.0010 1.1030 -5.9916E+06 -3.2781E+06 2.9034E+05 1.5995E+05 0.0000 0.0000 1741.0 3.5788E+12 3.5788E+12

372.40 1.9374 1.0679 -2.8879E+06 -1.5682E+06 2.9028E+05 1.5992E+05 11.035 6.0821 879.59 3.5788E+12 3.5788E+12

383.04 1.8737 1.0328 2.1456E+05 1.4109E+05 2.8983E+05 1.5968E+05 72.545 39.985 143.14 3.5788E+12 3.5788E+12

393.68 1.8100 0.9976 3.3088E+06 1.8458E+06 2.8861E+05 1.5900E+05 156.64 86.338 1001.8 3.5788E+12 3.5788E+12

404.32 1.7464 0.9626 6.3853E+06 3.5407E+06 2.8637E+05 1.5777E+05 264.10 145.56 1855.6 3.5788E+12 3.5788E+12

414.96 1.6830 0.9276 9.4318E+06 5.2191E+06 2.8288E+05 1.5584E+05 393.29 216.77 2701.2 3.5788E+12 3.5788E+12

425.60 1.6199 0.8928 1.2434E+07 6.8730E+06 2.7787E+05 1.5309E+05 547.32 301.66 3534.4 3.5788E+12 3.5788E+12

436.24 1.5572 0.8582 1.5374E+07 8.4926E+06 2.7047E+05 1.4901E+05 844.24 465.31 4350.3 3.5788E+12 3.5788E+12

446.88 1.4949 0.8239 1.8218E+07 1.0060E+07 2.6135E+05 1.4398E+05 869.65 479.31 5139.6 3.5788E+12 3.5788E+12

457.52 1.4333 0.7900 2.0964E+07 1.1572E+07 2.5197E+05 1.3881E+05 893.96 492.71 5901.6 3.5788E+12 3.5788E+12

468.16 1.3723 0.7563 2.3608E+07 1.3029E+07 2.4234E+05 1.3350E+05 917.22 505.52 6635.4 3.5788E+12 3.5788E+12

478.80 1.3121 0.7231 2.6148E+07 1.4428E+07 2.3246E+05 1.2806E+05 939.45 517.77 7340.4 3.5788E+12 3.5788E+12

489.44 1.2527 0.6904 2.8582E+07 1.5769E+07 2.2236E+05 1.2249E+05 960.65 529.45 8015.8 3.5788E+12 3.5788E+12

500.08 1.1942 0.6581 3.0907E+07 1.7049E+07 2.1203E+05 1.1680E+05 980.82 540.56 8660.9 3.5788E+12 3.5788E+12

510.72 1.1366 0.6264 3.3120E+07 1.8269E+07 2.0149E+05 1.1099E+05 999.95 551.10 9275.2 3.5788E+12 3.5788E+12

521.36 1.0801 0.5953 3.5220E+07 1.9426E+07 1.9076E+05 1.0507E+05 1018.0 561.06 9857.9 3.5788E+12 3.5788E+12

532.00 1.0248 0.5648 3.7205E+07 2.0519E+07 1.7984E+05 9.9054E+04 1035.0 570.43 1.0409E+04 3.5788E+12 3.5788E+12

542.64 0.9706 0.5349 3.9072E+07 2.1547E+07 1.6874E+05 9.2938E+04 1051.0 579.20 1.0927E+04 3.5788E+12 3.5788E+12

553.28 0.9176 0.5057 4.0820E+07 2.2510E+07 1.5748E+05 8.6733E+04 1065.8 587.36 1.1412E+04 3.5788E+12 3.5788E+12

563.92 0.8660 0.4772 4.2446E+07 2.3406E+07 1.4607E+05 8.0444E+04 1079.5 594.90 1.1863E+04 3.5788E+12 3.5788E+12

574.56 0.8156 0.4495 4.3951E+07 2.4234E+07 1.3452E+05 7.4078E+04 1092.0 601.81 1.2281E+04 3.5788E+12 3.5788E+12

585.20 0.7667 0.4225 4.5331E+07 2.4994E+07 1.2284E+05 6.7642E+04 1103.4 608.07 1.2664E+04 3.5788E+12 3.5788E+12

595.84 0.7192 0.3964 4.6587E+07 2.5686E+07 1.1105E+05 6.1143E+04 1113.6 613.67 1.3012E+04 3.5788E+12 3.5788E+12

606.48 0.6732 0.3710 4.7715E+07 2.6307E+07 9.9150E+04 5.4587E+04 1122.5 618.60 1.3325E+04 3.5788E+12 3.5788E+12

617.12 0.6287 0.3465 4.8717E+07 2.6858E+07 8.7167E+04 4.7983E+04 1130.2 622.85 1.3603E+04 3.5788E+12 3.5788E+12

627.76 0.5857 0.3228 4.9590E+07 2.7339E+07 7.5108E+04 4.1338E+04 1136.7 626.39 1.3845E+04 3.5788E+12 3.5788E+12

638.40 0.5443 0.3000 5.0334E+07 2.7748E+07 6.2987E+04 3.4658E+04 1141.8 629.23 1.4052E+04 3.5788E+12 3.5788E+12

649.04 0.5045 0.2780 5.0948E+07 2.8087E+07 5.0818E+04 2.7952E+04 1145.7 631.33 1.4222E+04 3.5788E+12 3.5788E+12

659.68 0.4663 0.2570 5.1433E+07 2.8353E+07 3.8616E+04 2.1228E+04 1148.1 632.69 1.4356E+04 3.5788E+12 3.5788E+12

670.32 0.4297 0.2368 5.1787E+07 2.8547E+07 2.6395E+04 1.4494E+04 1149.2 633.29 1.4455E+04 3.5788E+12 3.5788E+12

680.96 0.3948 0.2175 5.2011E+07 2.8670E+07 1.4169E+04 7756.6 1148.9 633.12 1.4516E+04 3.5788E+12 3.5788E+12

691.60 0.3615 0.1992 5.2104E+07 2.8721E+07 1954.4 1025.7 1147.2 632.15 1.4542E+04 3.5788E+12 3.5788E+12

702.24 0.3299 0.1818 5.2067E+07 2.8700E+07 -1.0234E+04 -5690.6 1143.9 630.36 1.4532E+04 3.5788E+12 3.5788E+12

712.88 0.2999 0.1652 5.1900E+07 2.8607E+07 -2.2380E+04 -1.2383E+04 1139.2 627.75 1.4485E+04 3.5788E+12 3.5788E+12

723.52 0.2715 0.1496 5.1603E+07 2.8444E+07 -3.4467E+04 -1.9044E+04 1132.9 624.29 1.4403E+04 3.5788E+12 3.5788E+12

734.16 0.2448 0.1349 5.1178E+07 2.8209E+07 -4.6479E+04 -2.5663E+04 1125.1 619.95 1.4285E+04 3.5788E+12 3.5788E+12

744.80 0.2197 0.1211 5.0626E+07 2.7904E+07 -5.8400E+04 -3.2231E+04 1115.6 614.72 1.4131E+04 3.5788E+12 3.5788E+12

755.44 0.1962 0.1081 4.9946E+07 2.7529E+07 -7.0210E+04 -3.8739E+04 1104.5 608.58 1.3943E+04 3.5788E+12 3.5788E+12

766.08 0.1743 9.6022E-02 4.9142E+07 2.7085E+07 -8.1893E+04 -4.5176E+04 1091.6 601.49 1.3719E+04 3.5788E+12 3.5788E+12

776.72 0.1539 8.4800E-02 4.8213E+07 2.6573E+07 -9.3430E+04 -5.1533E+04 1077.0 593.44 1.3461E+04 3.5788E+12 3.5788E+12

787.36 0.1351 7.4418E-02 4.7162E+07 2.5993E+07 -1.0480E+05 -5.7799E+04 1060.6 584.40 1.3169E+04 3.5788E+12 3.5788E+12

798.00 0.1177 6.4858E-02 4.5991E+07 2.5347E+07 -1.1599E+05 -6.3964E+04 1042.4 574.33 1.2844E+04 3.5788E+12 3.5788E+12

808.64 0.1018 5.6101E-02 4.4701E+07 2.4636E+07 -1.2697E+05 -7.0015E+04 1022.2 563.21 1.2486E+04 3.5788E+12 3.5788E+12

819.28 8.7343E-02 4.8122E-02 4.3296E+07 2.3861E+07 -1.3773E+05 -7.5943E+04 1000.1 551.01 1.2096E+04 3.5788E+12 3.5788E+12

829.92 7.4233E-02 4.0899E-02 4.1777E+07 2.3023E+07 -1.4824E+05 -8.1735E+04 975.91 537.68 1.1674E+04 3.5788E+12 3.5788E+12

840.56 6.2445E-02 3.4403E-02 4.0147E+07 2.2125E+07 -1.5849E+05 -8.7378E+04 949.63 523.19 1.1222E+04 3.5788E+12 3.5788E+12

851.20 5.1927E-02 2.8608E-02 3.8409E+07 2.1167E+07 -1.7158E+05 -9.4592E+04 1511.7 832.84 1.0739E+04 3.5788E+12 3.5788E+12

Page 47: Willis Avenue Bridge – Pivot Pier

46

861.84 4.2625E-02 2.3482E-02 3.6500E+07 2.0114E+07 -1.8703E+05 -1.0310E+05 1391.2 766.44 1.0209E+04 3.5788E+12 3.5788E+12

872.48 3.4476E-02 1.8993E-02 3.4433E+07 1.8975E+07 -2.0066E+05 -1.1061E+05 1171.1 645.16 9635.4 3.5788E+12 3.5788E+12

883.12 2.7417E-02 1.5103E-02 3.2233E+07 1.7762E+07 -2.1204E+05 -1.1688E+05 967.80 533.14 9024.7 3.5788E+12 3.5788E+12

893.76 2.1378E-02 1.1776E-02 2.9924E+07 1.6489E+07 -2.2135E+05 -1.2201E+05 783.05 431.34 8383.6 3.5788E+12 3.5788E+12

904.40 1.6285E-02 8.9702E-03 2.7525E+07 1.5167E+07 -2.2881E+05 -1.2612E+05 618.17 340.50 7717.8 3.5788E+12 3.5788E+12

915.04 1.2063E-02 6.6442E-03 2.5057E+07 1.3807E+07 -2.3462E+05 -1.2932E+05 473.94 261.05 7032.6 3.5788E+12 3.5788E+12

925.68 8.6335E-03 4.7550E-03 2.2534E+07 1.2416E+07 -2.3900E+05 -1.3173E+05 350.69 193.14 6332.4 3.5788E+12 3.5788E+12

936.32 5.9169E-03 3.2586E-03 1.9972E+07 1.1004E+07 -2.4219E+05 -1.3349E+05 248.21 136.69 5621.1 3.5788E+12 3.5788E+12

946.96 3.8321E-03 2.1102E-03 1.7381E+07 9.5763E+06 -2.4439E+05 -1.3470E+05 165.85 91.328 4902.0 3.5788E+12 3.5788E+12

957.60 2.2971E-03 1.2648E-03 1.4772E+07 8.1381E+06 -2.4582E+05 -1.3549E+05 102.47 56.422 4177.7 3.5788E+12 3.5788E+12

968.24 1.2294E-03 6.7683E-04 1.2151E+07 6.6935E+06 -2.4666E+05 -1.3595E+05 56.478 31.093 3450.1 3.5788E+12 3.5788E+12

978.88 5.4610E-04 3.0059E-04 9.5235E+06 5.2453E+06 -2.4710E+05 -1.3619E+05 25.813 14.208 2720.8 3.5788E+12 3.5788E+12

989.52 1.6405E-04 9.0274E-05 6.8929E+06 3.7954E+06 -2.4728E+05 -1.3629E+05 7.9725 4.3872 1990.5 3.5788E+12 3.5788E+12

1000.2 4.7754E-08 2.5809E-08 4.2614E+06 2.3451E+06 -2.5809E+05 -1.4214E+05 2024.4 1094.1 1250.6 3.5788E+12 3.5788E+12

1010.8 -2.9147E-05 -1.6040E-05 1.4007E+06 7.7082E+05 -2.0366E+05 -1.1207E+05 -1.2256E+04 -6744.6 447.52 3.5788E+12 3.5788E+12

1021.4 -1.4031E-05 -7.7210E-06 -7.2452E+04 -3.9874E+04 -8.3007E+04 -4.5678E+04 -1.0423E+04 -5735.9 69.734 3.5788E+12 3.5788E+12

1032.1 -1.2063E-06 -6.6381E-07 -3.6564E+05 -2.0121E+05 1460.7 804.01 -5454.1 -3001.4 141.97 3.5788E+12 3.5788E+12

1042.7 5.1388E-08 2.8279E-08 -4.1370E+04 -2.2766E+04 1.7258E+04 9496.9 2484.8 1367.4 42.946 3.5788E+12 3.5788E+12

1053.4 3.7242E-10 2.0494E-10 1600.9 881.00 1944.1 1069.8 393.71 216.66 22.925 3.5788E+12 3.5788E+12

1064.0 -3.5862E-14 -1.9735E-14 6.7590E-16 6.9466E-16 -2.5854E-15 -5.1144E-15 -28.283 -15.564 13.533 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 4

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

1.6036E-03 3.4848 1.9102 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

8.3534E+04 2.9561E+05 1.6188E+05 8.4490E+05 -6.2060E+07 1.1337E+08

STR,LBS/IN**2

3.1449E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

1.6036E-03 3.4848 1.9102 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

8.3534E+04 2.9561E+05 1.6188E+05 8.4490E+05 -6.2060E+07 1.1337E+08

STR,LBS/IN**2

3.1449E+04

* EFFECTS FOR LATERALLY LOADED PILE *

Page 48: Willis Avenue Bridge – Pivot Pier

47

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.4848 1.9102 -1.1337E+08 -6.2060E+07 2.9561E+05 1.6188E+05 0.0000 0.0000 3.1449E+04 3.5788E+12 3.5788E+12

10.640 3.4826 1.9090 -1.1022E+08 -6.0337E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 3.0577E+04 3.5788E+12 3.5788E+12

21.280 3.4769 1.9058 -1.0708E+08 -5.8615E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 2.9705E+04 3.5788E+12 3.5788E+12

31.920 3.4679 1.9008 -1.0393E+08 -5.6892E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 2.8833E+04 3.5788E+12 3.5788E+12

42.560 3.4555 1.8940 -1.0079E+08 -5.5169E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 2.7961E+04 3.5788E+12 3.5788E+12

53.200 3.4400 1.8855 -9.7639E+07 -5.3446E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 2.7089E+04 3.5788E+12 3.5788E+12

63.840 3.4214 1.8752 -9.4492E+07 -5.1723E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 2.6217E+04 3.5788E+12 3.5788E+12

74.480 3.3998 1.8633 -9.1345E+07 -4.9999E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 2.5344E+04 3.5788E+12 3.5788E+12

85.120 3.3753 1.8499 -8.8198E+07 -4.8276E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 2.4472E+04 3.5788E+12 3.5788E+12

95.760 3.3480 1.8349 -8.5050E+07 -4.6552E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 2.3600E+04 3.5788E+12 3.5788E+12

106.40 3.3180 1.8184 -8.1903E+07 -4.4828E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 2.2727E+04 3.5788E+12 3.5788E+12

117.04 3.2855 1.8005 -7.8755E+07 -4.3105E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 2.1855E+04 3.5788E+12 3.5788E+12

127.68 3.2504 1.7813 -7.5607E+07 -4.1381E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 2.0982E+04 3.5788E+12 3.5788E+12

138.32 3.2129 1.7607 -7.2458E+07 -3.9657E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 2.0110E+04 3.5788E+12 3.5788E+12

148.96 3.1732 1.7389 -6.9310E+07 -3.7932E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 1.9237E+04 3.5788E+12 3.5788E+12

159.60 3.1313 1.7159 -6.6161E+07 -3.6208E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 1.8364E+04 3.5788E+12 3.5788E+12

170.24 3.0872 1.6918 -6.3012E+07 -3.4484E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 1.7492E+04 3.5788E+12 3.5788E+12

180.88 3.0412 1.6665 -5.9863E+07 -3.2759E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 1.6619E+04 3.5788E+12 3.5788E+12

191.52 2.9933 1.6403 -5.6714E+07 -3.1035E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 1.5746E+04 3.5788E+12 3.5788E+12

202.16 2.9436 1.6130 -5.3565E+07 -2.9310E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 1.4873E+04 3.5788E+12 3.5788E+12

212.80 2.8922 1.5848 -5.0415E+07 -2.7585E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 1.4000E+04 3.5788E+12 3.5788E+12

223.44 2.8392 1.5557 -4.7266E+07 -2.5860E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 1.3127E+04 3.5788E+12 3.5788E+12

234.08 2.7847 1.5259 -4.4116E+07 -2.4136E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 1.2254E+04 3.5788E+12 3.5788E+12

244.72 2.7288 1.4952 -4.0966E+07 -2.2411E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 1.1381E+04 3.5788E+12 3.5788E+12

255.36 2.6716 1.4639 -3.7816E+07 -2.0686E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 1.0508E+04 3.5788E+12 3.5788E+12

266.00 2.6132 1.4319 -3.4666E+07 -1.8961E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 9635.0 3.5788E+12 3.5788E+12

276.64 2.5538 1.3993 -3.1516E+07 -1.7235E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 8761.9 3.5788E+12 3.5788E+12

287.28 2.4933 1.3661 -2.8366E+07 -1.5510E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 7888.8 3.5788E+12 3.5788E+12

297.92 2.4319 1.3325 -2.5215E+07 -1.3785E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 7015.6 3.5788E+12 3.5788E+12

308.56 2.3697 1.2984 -2.2065E+07 -1.2060E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 6142.5 3.5788E+12 3.5788E+12

319.20 2.3069 1.2639 -1.8915E+07 -1.0335E+07 2.9560E+05 1.6188E+05 0.0000 0.0000 5269.3 3.5788E+12 3.5788E+12

329.84 2.2434 1.2292 -1.5764E+07 -8.6094E+06 2.9560E+05 1.6188E+05 0.0000 0.0000 4396.1 3.5788E+12 3.5788E+12

340.48 2.1794 1.1941 -1.2614E+07 -6.8841E+06 2.9560E+05 1.6188E+05 0.0000 0.0000 3522.9 3.5788E+12 3.5788E+12

351.12 2.1151 1.1588 -9.4630E+06 -5.1588E+06 2.9560E+05 1.6188E+05 0.0000 0.0000 2649.6 3.5788E+12 3.5788E+12

361.76 2.0504 1.1234 -6.3124E+06 -3.4334E+06 2.9560E+05 1.6188E+05 0.0000 0.0000 1776.4 3.5788E+12 3.5788E+12

372.40 1.9855 1.0878 -3.1618E+06 -1.7081E+06 2.9554E+05 1.6184E+05 11.147 6.1070 903.18 3.5788E+12 3.5788E+12

383.04 1.9206 1.0522 -1.2501E+04 1.6547E+04 2.9509E+05 1.6160E+05 73.428 40.229 34.589 3.5788E+12 3.5788E+12

393.68 1.8556 1.0166 3.1285E+06 1.7366E+06 2.9386E+05 1.6092E+05 158.38 86.772 899.41 3.5788E+12 3.5788E+12

404.32 1.7908 0.9811 6.2516E+06 3.4469E+06 2.9160E+05 1.5968E+05 266.86 146.20 1765.0 3.5788E+12 3.5788E+12

414.96 1.7261 0.9457 9.3445E+06 5.1406E+06 2.8806E+05 1.5775E+05 397.34 217.69 2622.2 3.5788E+12 3.5788E+12

425.60 1.6617 0.9104 1.2392E+07 6.8097E+06 2.8301E+05 1.5498E+05 552.87 302.89 3467.0 3.5788E+12 3.5788E+12

436.24 1.5977 0.8753 1.5378E+07 8.4444E+06 2.7554E+05 1.5089E+05 850.57 465.99 4294.4 3.5788E+12 3.5788E+12

446.88 1.5342 0.8405 1.8266E+07 1.0026E+07 2.6635E+05 1.4585E+05 876.23 480.04 5095.0 3.5788E+12 3.5788E+12

457.52 1.4713 0.8061 2.1056E+07 1.1554E+07 2.5690E+05 1.4068E+05 900.78 493.48 5868.2 3.5788E+12 3.5788E+12

468.16 1.4091 0.7719 2.3744E+07 1.3026E+07 2.4719E+05 1.3536E+05 924.27 506.35 6613.1 3.5788E+12 3.5788E+12

478.80 1.3476 0.7382 2.6327E+07 1.4440E+07 2.3724E+05 1.2990E+05 946.73 518.65 7328.9 3.5788E+12 3.5788E+12

489.44 1.2869 0.7050 2.8802E+07 1.5796E+07 2.2705E+05 1.2432E+05 968.16 530.39 8015.0 3.5788E+12 3.5788E+12

500.08 1.2272 0.6723 3.1168E+07 1.7091E+07 2.1664E+05 1.1862E+05 988.56 541.56 8670.8 3.5788E+12 3.5788E+12

510.72 1.1684 0.6401 3.3422E+07 1.8325E+07 2.0602E+05 1.1280E+05 1007.9 552.16 9295.4 3.5788E+12 3.5788E+12

521.36 1.1107 0.6084 3.5562E+07 1.9497E+07 1.9520E+05 1.0687E+05 1026.2 562.18 9888.5 3.5788E+12 3.5788E+12

532.00 1.0541 0.5774 3.7586E+07 2.0605E+07 1.8419E+05 1.0084E+05 1043.5 571.62 1.0449E+04 3.5788E+12 3.5788E+12

542.64 0.9987 0.5471 3.9491E+07 2.1648E+07 1.7300E+05 9.4714E+04 1059.6 580.46 1.0977E+04 3.5788E+12 3.5788E+12

553.28 0.9445 0.5174 4.1276E+07 2.2625E+07 1.6165E+05 8.8495E+04 1074.6 588.69 1.1472E+04 3.5788E+12 3.5788E+12

Page 49: Willis Avenue Bridge – Pivot Pier

48

563.92 0.8917 0.4885 4.2940E+07 2.3536E+07 1.5014E+05 8.2191E+04 1088.5 596.30 1.1933E+04 3.5788E+12 3.5788E+12

574.56 0.8402 0.4603 4.4480E+07 2.4379E+07 1.3849E+05 7.5809E+04 1101.3 603.28 1.2360E+04 3.5788E+12 3.5788E+12

585.20 0.7901 0.4328 4.5895E+07 2.5154E+07 1.2671E+05 6.9357E+04 1112.9 609.62 1.2752E+04 3.5788E+12 3.5788E+12

595.84 0.7415 0.4062 4.7184E+07 2.5859E+07 1.1482E+05 6.2840E+04 1123.3 615.31 1.3109E+04 3.5788E+12 3.5788E+12

606.48 0.6944 0.3804 4.8346E+07 2.6495E+07 1.0282E+05 5.6267E+04 1132.4 620.32 1.3431E+04 3.5788E+12 3.5788E+12

617.12 0.6488 0.3554 4.9380E+07 2.7061E+07 9.0726E+04 4.9644E+04 1140.3 624.66 1.3718E+04 3.5788E+12 3.5788E+12

627.76 0.6047 0.3313 5.0284E+07 2.7556E+07 7.8558E+04 4.2978E+04 1147.0 628.29 1.3968E+04 3.5788E+12 3.5788E+12

638.40 0.5623 0.3080 5.1059E+07 2.7979E+07 6.6326E+04 3.6278E+04 1152.3 631.22 1.4183E+04 3.5788E+12 3.5788E+12

649.04 0.5215 0.2856 5.1703E+07 2.8331E+07 5.4043E+04 2.9550E+04 1156.4 633.42 1.4361E+04 3.5788E+12 3.5788E+12

659.68 0.4823 0.2642 5.2215E+07 2.8612E+07 4.1726E+04 2.2803E+04 1159.1 634.88 1.4503E+04 3.5788E+12 3.5788E+12

670.32 0.4447 0.2436 5.2597E+07 2.8820E+07 2.9387E+04 1.6044E+04 1160.3 635.58 1.4609E+04 3.5788E+12 3.5788E+12

680.96 0.4088 0.2239 5.2847E+07 2.8956E+07 1.7041E+04 9282.1 1160.2 635.51 1.4678E+04 3.5788E+12 3.5788E+12

691.60 0.3746 0.2052 5.2965E+07 2.9021E+07 4705.3 2525.0 1158.7 634.64 1.4711E+04 3.5788E+12 3.5788E+12

702.24 0.3421 0.1874 5.2952E+07 2.9013E+07 -7606.5 -4218.6 1155.6 632.97 1.4707E+04 3.5788E+12 3.5788E+12

712.88 0.3112 0.1705 5.2809E+07 2.8934E+07 -1.9878E+04 -1.0940E+04 1151.1 630.47 1.4667E+04 3.5788E+12 3.5788E+12

723.52 0.2820 0.1545 5.2534E+07 2.8783E+07 -3.2092E+04 -1.7630E+04 1145.0 627.12 1.4591E+04 3.5788E+12 3.5788E+12

734.16 0.2545 0.1394 5.2130E+07 2.8561E+07 -4.4234E+04 -2.4280E+04 1137.3 622.91 1.4479E+04 3.5788E+12 3.5788E+12

744.80 0.2286 0.1252 5.1597E+07 2.8269E+07 -5.6285E+04 -3.0881E+04 1128.0 617.80 1.4331E+04 3.5788E+12 3.5788E+12

755.44 0.2044 0.1119 5.0937E+07 2.7906E+07 -6.8228E+04 -3.7422E+04 1117.0 611.78 1.4148E+04 3.5788E+12 3.5788E+12

766.08 0.1817 9.9532E-02 5.0149E+07 2.7474E+07 -8.0045E+04 -4.3894E+04 1104.3 604.82 1.3930E+04 3.5788E+12 3.5788E+12

776.72 0.1607 8.8001E-02 4.9237E+07 2.6974E+07 -9.1718E+04 -5.0287E+04 1089.9 596.90 1.3677E+04 3.5788E+12 3.5788E+12

787.36 0.1412 7.7324E-02 4.8201E+07 2.6406E+07 -1.0323E+05 -5.6591E+04 1073.6 587.99 1.3389E+04 3.5788E+12 3.5788E+12

798.00 0.1232 6.7482E-02 4.7043E+07 2.5772E+07 -1.1455E+05 -6.2794E+04 1055.5 578.06 1.3068E+04 3.5788E+12 3.5788E+12

808.64 0.1067 5.8456E-02 4.5766E+07 2.5071E+07 -1.2568E+05 -6.8886E+04 1035.4 567.07 1.2714E+04 3.5788E+12 3.5788E+12

819.28 9.1705E-02 5.0222E-02 4.4371E+07 2.4307E+07 -1.3658E+05 -7.4856E+04 1013.4 555.00 1.2328E+04 3.5788E+12 3.5788E+12

829.92 7.8076E-02 4.2758E-02 4.2862E+07 2.3480E+07 -1.4723E+05 -8.0691E+04 989.35 541.81 1.1909E+04 3.5788E+12 3.5788E+12

840.56 6.5804E-02 3.6036E-02 4.1240E+07 2.2591E+07 -1.5762E+05 -8.6379E+04 963.17 527.46 1.1460E+04 3.5788E+12 3.5788E+12

851.20 5.4835E-02 3.0029E-02 3.9510E+07 2.1643E+07 -1.7102E+05 -9.3715E+04 1554.9 851.49 1.0980E+04 3.5788E+12 3.5788E+12

861.84 4.5117E-02 2.4706E-02 3.7603E+07 2.0598E+07 -1.8712E+05 -1.0254E+05 1472.6 806.40 1.0451E+04 3.5788E+12 3.5788E+12

872.48 3.6589E-02 2.0036E-02 3.5529E+07 1.9462E+07 -2.0157E+05 -1.1045E+05 1242.9 680.59 9876.5 3.5788E+12 3.5788E+12

883.12 2.9184E-02 1.5980E-02 3.3315E+07 1.8248E+07 -2.1366E+05 -1.1707E+05 1030.2 564.09 9262.7 3.5788E+12 3.5788E+12

893.76 2.2833E-02 1.2502E-02 3.0984E+07 1.6971E+07 -2.2359E+05 -1.2250E+05 836.35 457.94 8616.5 3.5788E+12 3.5788E+12

904.40 1.7462E-02 9.5610E-03 2.8558E+07 1.5642E+07 -2.3157E+05 -1.2687E+05 662.85 362.93 7944.0 3.5788E+12 3.5788E+12

915.04 1.2995E-02 7.1146E-03 2.6057E+07 1.4272E+07 -2.3781E+05 -1.3029E+05 510.55 279.53 7250.7 3.5788E+12 3.5788E+12

925.68 9.3515E-03 5.1197E-03 2.3498E+07 1.2870E+07 -2.4255E+05 -1.3288E+05 379.85 207.96 6541.4 3.5788E+12 3.5788E+12

936.32 6.4517E-03 3.5319E-03 2.0896E+07 1.1444E+07 -2.4601E+05 -1.3478E+05 270.64 148.16 5820.2 3.5788E+12 3.5788E+12

946.96 4.2129E-03 2.3061E-03 1.8263E+07 1.0002E+07 -2.4842E+05 -1.3610E+05 182.33 99.805 5090.4 3.5788E+12 3.5788E+12

957.60 2.5518E-03 1.3967E-03 1.5610E+07 8.5481E+06 -2.4999E+05 -1.3696E+05 113.83 62.304 4354.9 3.5788E+12 3.5788E+12

968.24 1.3845E-03 7.5768E-04 1.2944E+07 7.0874E+06 -2.5094E+05 -1.3748E+05 63.602 34.807 3615.8 3.5788E+12 3.5788E+12

978.88 6.2664E-04 3.4288E-04 1.0270E+07 5.6227E+06 -2.5143E+05 -1.3775E+05 29.620 16.207 2874.8 3.5788E+12 3.5788E+12

989.52 1.9366E-04 1.0594E-04 7.5932E+06 4.1561E+06 -2.5164E+05 -1.3786E+05 9.4119 5.1488 2132.7 3.5788E+12 3.5788E+12

1000.2 8.9173E-07 4.8437E-07 4.9152E+06 2.6890E+06 -2.7616E+05 -1.5118E+05 4600.8 2499.0 1387.0 3.5788E+12 3.5788E+12

1010.8 -3.6394E-05 -1.9912E-05 1.7164E+06 9.3898E+05 -2.3140E+05 -1.2659E+05 -1.3016E+04 -7121.2 497.16 3.5788E+12 3.5788E+12

1021.4 -1.9383E-05 -1.0604E-05 -8880.6 -4886.0 -1.0151E+05 -5.5531E+04 -1.1399E+04 -6236.5 20.632 3.5788E+12 3.5788E+12

1032.1 -2.6538E-06 -1.4518E-06 -4.4365E+05 -2.4272E+05 -3645.3 -1992.9 -6995.6 -3827.0 137.77 3.5788E+12 3.5788E+12

1042.7 4.1611E-08 2.2766E-08 -8.6452E+04 -4.7295E+04 2.0904E+04 1.1436E+04 2381.1 1302.8 35.475 3.5788E+12 3.5788E+12

1053.4 2.1700E-09 1.1871E-09 1178.2 644.62 4062.6 2222.5 784.46 429.15 8.5560 3.5788E+12 3.5788E+12

1064.0 -1.1754E-14 -6.4308E-15 -1.0240E-14 -3.8623E-16 -1.6199E-15 -3.7032E-15 -20.815 -11.388 4.9541 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 5

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

Page 50: Willis Avenue Bridge – Pivot Pier

49

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

1.6460E-02 3.3540 1.9354 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

8.5742E+05 2.8348E+05 1.6345E+05 8.4490E+05 -6.3147E+07 1.0955E+08

STR,LBS/IN**2

3.1042E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

1.6460E-02 3.3540 1.9354 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

8.5742E+05 2.8348E+05 1.6345E+05 8.4490E+05 -6.3147E+07 1.0955E+08

STR,LBS/IN**2

3.1042E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.3540 1.9354 -1.0955E+08 -6.3147E+07 2.8350E+05 1.6347E+05 0.0000 0.0000 3.1042E+04 3.5788E+12 3.5788E+12

10.640 3.3519 1.9341 -1.0653E+08 -6.1407E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 3.0195E+04 3.5788E+12 3.5788E+12

21.280 3.3464 1.9309 -1.0351E+08 -5.9666E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 2.9348E+04 3.5788E+12 3.5788E+12

31.920 3.3376 1.9258 -1.0049E+08 -5.7923E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 2.8500E+04 3.5788E+12 3.5788E+12

42.560 3.3257 1.9189 -9.7463E+07 -5.6179E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 2.7651E+04 3.5788E+12 3.5788E+12

53.200 3.3107 1.9102 -9.4435E+07 -5.4433E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 2.6801E+04 3.5788E+12 3.5788E+12

63.840 3.2927 1.8998 -9.1404E+07 -5.2685E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 2.5951E+04 3.5788E+12 3.5788E+12

74.480 3.2718 1.8877 -8.8371E+07 -5.0937E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 2.5100E+04 3.5788E+12 3.5788E+12

85.120 3.2481 1.8740 -8.5336E+07 -4.9187E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 2.4248E+04 3.5788E+12 3.5788E+12

95.760 3.2217 1.8587 -8.2298E+07 -4.7435E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 2.3395E+04 3.5788E+12 3.5788E+12

106.40 3.1926 1.8420 -7.9259E+07 -4.5682E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 2.2542E+04 3.5788E+12 3.5788E+12

117.04 3.1611 1.8238 -7.6217E+07 -4.3928E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 2.1689E+04 3.5788E+12 3.5788E+12

127.68 3.1272 1.8042 -7.3173E+07 -4.2173E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 2.0835E+04 3.5788E+12 3.5788E+12

138.32 3.0910 1.7832 -7.0127E+07 -4.0417E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 1.9980E+04 3.5788E+12 3.5788E+12

148.96 3.0525 1.7610 -6.7079E+07 -3.8659E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 1.9124E+04 3.5788E+12 3.5788E+12

159.60 3.0120 1.7376 -6.4029E+07 -3.6901E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 1.8269E+04 3.5788E+12 3.5788E+12

170.24 2.9694 1.7130 -6.0977E+07 -3.5141E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 1.7412E+04 3.5788E+12 3.5788E+12

180.88 2.9248 1.6873 -5.7924E+07 -3.3381E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 1.6556E+04 3.5788E+12 3.5788E+12

191.52 2.8785 1.6605 -5.4870E+07 -3.1619E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 1.5698E+04 3.5788E+12 3.5788E+12

202.16 2.8304 1.6328 -5.1813E+07 -2.9857E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 1.4841E+04 3.5788E+12 3.5788E+12

212.80 2.7806 1.6041 -4.8756E+07 -2.8094E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 1.3983E+04 3.5788E+12 3.5788E+12

223.44 2.7293 1.5745 -4.5697E+07 -2.6330E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 1.3124E+04 3.5788E+12 3.5788E+12

234.08 2.6766 1.5440 -4.2637E+07 -2.4566E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 1.2266E+04 3.5788E+12 3.5788E+12

244.72 2.6225 1.5128 -3.9575E+07 -2.2801E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 1.1407E+04 3.5788E+12 3.5788E+12

255.36 2.5672 1.4809 -3.6513E+07 -2.1035E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 1.0547E+04 3.5788E+12 3.5788E+12

Page 51: Willis Avenue Bridge – Pivot Pier

50

266.00 2.5107 1.4483 -3.3449E+07 -1.9269E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 9687.5 3.5788E+12 3.5788E+12

276.64 2.4532 1.4151 -3.0385E+07 -1.7502E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 8827.6 3.5788E+12 3.5788E+12

287.28 2.3947 1.3814 -2.7320E+07 -1.5734E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 7967.5 3.5788E+12 3.5788E+12

297.92 2.3353 1.3471 -2.4254E+07 -1.3966E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 7107.2 3.5788E+12 3.5788E+12

308.56 2.2752 1.3124 -2.1188E+07 -1.2198E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 6246.7 3.5788E+12 3.5788E+12

319.20 2.2144 1.2773 -1.8121E+07 -1.0430E+07 2.8336E+05 1.6338E+05 0.0000 0.0000 5386.0 3.5788E+12 3.5788E+12

329.84 2.1530 1.2419 -1.5053E+07 -8.6610E+06 2.8336E+05 1.6338E+05 0.0000 0.0000 4525.2 3.5788E+12 3.5788E+12

340.48 2.0912 1.2062 -1.1985E+07 -6.8920E+06 2.8336E+05 1.6338E+05 0.0000 0.0000 3664.2 3.5788E+12 3.5788E+12

351.12 2.0289 1.1703 -8.9166E+06 -5.1228E+06 2.8336E+05 1.6338E+05 0.0000 0.0000 2803.2 3.5788E+12 3.5788E+12

361.76 1.9664 1.1343 -5.8481E+06 -3.3535E+06 2.8336E+05 1.6338E+05 0.0000 0.0000 1942.1 3.5788E+12 3.5788E+12

372.40 1.9037 1.0981 -2.7793E+06 -1.5841E+06 2.8330E+05 1.6335E+05 10.878 6.2743 1081.0 3.5788E+12 3.5788E+12

383.04 1.8409 1.0619 2.8824E+05 1.8470E+05 2.8287E+05 1.6310E+05 71.536 41.262 386.51 3.5788E+12 3.5788E+12

393.68 1.7782 1.0256 3.3477E+06 1.9488E+06 2.8166E+05 1.6241E+05 154.51 89.121 1244.9 3.5788E+12 3.5788E+12

404.32 1.7155 0.9895 6.3896E+06 3.7027E+06 2.7946E+05 1.6113E+05 260.54 150.28 2098.5 3.5788E+12 3.5788E+12

414.96 1.6530 0.9535 9.4018E+06 5.4396E+06 2.7601E+05 1.5914E+05 388.01 223.80 2943.8 3.5788E+12 3.5788E+12

425.60 1.5909 0.9176 1.2370E+07 7.1509E+06 2.7107E+05 1.5629E+05 539.98 311.45 3776.7 3.5788E+12 3.5788E+12

436.24 1.5291 0.8820 1.5276E+07 8.8268E+06 2.6377E+05 1.5208E+05 833.52 480.76 4592.0 3.5788E+12 3.5788E+12

446.88 1.4678 0.8466 1.8088E+07 1.0448E+07 2.5477E+05 1.4689E+05 858.58 495.21 5380.7 3.5788E+12 3.5788E+12

457.52 1.4071 0.8116 2.0802E+07 1.2013E+07 2.4551E+05 1.4155E+05 882.55 509.04 6142.0 3.5788E+12 3.5788E+12

468.16 1.3470 0.7769 2.3416E+07 1.3520E+07 2.3600E+05 1.3607E+05 905.48 522.26 6875.1 3.5788E+12 3.5788E+12

478.80 1.2877 0.7427 2.5926E+07 1.4967E+07 2.2626E+05 1.3045E+05 927.39 534.89 7579.3 3.5788E+12 3.5788E+12

489.44 1.2292 0.7089 2.8331E+07 1.6354E+07 2.1628E+05 1.2470E+05 948.28 546.94 8253.8 3.5788E+12 3.5788E+12

500.08 1.1716 0.6757 3.0628E+07 1.7678E+07 2.0609E+05 1.1882E+05 968.15 558.39 8898.0 3.5788E+12 3.5788E+12

510.72 1.1149 0.6430 3.2814E+07 1.8938E+07 1.9570E+05 1.1282E+05 986.99 569.25 9511.2 3.5788E+12 3.5788E+12

521.36 1.0593 0.6110 3.4888E+07 2.0134E+07 1.8510E+05 1.0671E+05 1004.8 579.51 1.0093E+04 3.5788E+12 3.5788E+12

532.00 1.0048 0.5795 3.6847E+07 2.1263E+07 1.7433E+05 1.0050E+05 1021.5 589.16 1.0642E+04 3.5788E+12 3.5788E+12

542.64 0.9515 0.5488 3.8689E+07 2.2325E+07 1.6338E+05 9.4183E+04 1037.2 598.19 1.1159E+04 3.5788E+12 3.5788E+12

553.28 0.8994 0.5187 4.0413E+07 2.3319E+07 1.5227E+05 8.7776E+04 1051.7 606.59 1.1642E+04 3.5788E+12 3.5788E+12

563.92 0.8485 0.4894 4.2016E+07 2.4243E+07 1.4101E+05 8.1283E+04 1065.2 614.34 1.2092E+04 3.5788E+12 3.5788E+12

574.56 0.7990 0.4608 4.3498E+07 2.5098E+07 1.2962E+05 7.4710E+04 1077.5 621.43 1.2508E+04 3.5788E+12 3.5788E+12

585.20 0.7509 0.4331 4.4857E+07 2.5881E+07 1.1810E+05 6.8066E+04 1088.6 627.86 1.2889E+04 3.5788E+12 3.5788E+12

595.84 0.7042 0.4061 4.6092E+07 2.6592E+07 1.0646E+05 6.1357E+04 1098.6 633.60 1.3235E+04 3.5788E+12 3.5788E+12

606.48 0.6590 0.3800 4.7200E+07 2.7231E+07 9.4731E+04 5.4591E+04 1107.4 638.65 1.3545E+04 3.5788E+12 3.5788E+12

617.12 0.6152 0.3548 4.8183E+07 2.7797E+07 8.2911E+04 4.7774E+04 1114.9 642.99 1.3821E+04 3.5788E+12 3.5788E+12

627.76 0.5730 0.3304 4.9037E+07 2.8290E+07 7.1018E+04 4.0915E+04 1121.2 646.60 1.4060E+04 3.5788E+12 3.5788E+12

638.40 0.5323 0.3070 4.9764E+07 2.8708E+07 5.9065E+04 3.4021E+04 1126.2 649.47 1.4264E+04 3.5788E+12 3.5788E+12

649.04 0.4932 0.2844 5.0361E+07 2.9052E+07 4.7066E+04 2.7101E+04 1129.8 651.59 1.4431E+04 3.5788E+12 3.5788E+12

659.68 0.4557 0.2628 5.0830E+07 2.9322E+07 3.5035E+04 2.0163E+04 1132.2 652.93 1.4562E+04 3.5788E+12 3.5788E+12

670.32 0.4198 0.2421 5.1169E+07 2.9517E+07 2.2985E+04 1.3214E+04 1133.1 653.49 1.4657E+04 3.5788E+12 3.5788E+12

680.96 0.3855 0.2223 5.1378E+07 2.9637E+07 1.0933E+04 6263.4 1132.7 653.24 1.4716E+04 3.5788E+12 3.5788E+12

691.60 0.3528 0.2035 5.1457E+07 2.9683E+07 -1107.1 -680.21 1130.9 652.17 1.4738E+04 3.5788E+12 3.5788E+12

702.24 0.3218 0.1856 5.1408E+07 2.9653E+07 -1.3120E+04 -7608.0 1127.6 650.25 1.4723E+04 3.5788E+12 3.5788E+12

712.88 0.2924 0.1686 5.1229E+07 2.9550E+07 -2.5090E+04 -1.4511E+04 1122.8 647.48 1.4673E+04 3.5788E+12 3.5788E+12

723.52 0.2646 0.1526 5.0921E+07 2.9372E+07 -3.7001E+04 -2.1380E+04 1116.4 643.82 1.4586E+04 3.5788E+12 3.5788E+12

734.16 0.2384 0.1375 5.0486E+07 2.9121E+07 -4.8836E+04 -2.8205E+04 1108.5 639.26 1.4464E+04 3.5788E+12 3.5788E+12

744.80 0.2138 0.1233 4.9925E+07 2.8797E+07 -6.0579E+04 -3.4976E+04 1099.0 633.77 1.4306E+04 3.5788E+12 3.5788E+12

755.44 0.1908 0.1101 4.9237E+07 2.8400E+07 -7.2212E+04 -4.1685E+04 1087.9 627.34 1.4113E+04 3.5788E+12 3.5788E+12

766.08 0.1694 9.7689E-02 4.8425E+07 2.7931E+07 -8.3717E+04 -4.8319E+04 1075.0 619.93 1.3885E+04 3.5788E+12 3.5788E+12

776.72 0.1495 8.6207E-02 4.7490E+07 2.7391E+07 -9.5077E+04 -5.4870E+04 1060.5 611.52 1.3622E+04 3.5788E+12 3.5788E+12

787.36 0.1311 7.5592E-02 4.6434E+07 2.6782E+07 -1.0627E+05 -6.1326E+04 1044.1 602.08 1.3325E+04 3.5788E+12 3.5788E+12

798.00 0.1142 6.5823E-02 4.5258E+07 2.6103E+07 -1.1728E+05 -6.7675E+04 1025.9 591.58 1.2995E+04 3.5788E+12 3.5788E+12

808.64 9.8644E-02 5.6881E-02 4.3965E+07 2.5357E+07 -1.2809E+05 -7.3908E+04 1005.8 579.98 1.2632E+04 3.5788E+12 3.5788E+12

819.28 8.4528E-02 4.8741E-02 4.2557E+07 2.4545E+07 -1.3868E+05 -8.0010E+04 983.78 567.27 1.2237E+04 3.5788E+12 3.5788E+12

829.92 7.1758E-02 4.1377E-02 4.1036E+07 2.3667E+07 -1.4901E+05 -8.5972E+04 959.72 553.38 1.1810E+04 3.5788E+12 3.5788E+12

840.56 6.0287E-02 3.4761E-02 3.9406E+07 2.2727E+07 -1.5909E+05 -9.1779E+04 933.58 538.30 1.1352E+04 3.5788E+12 3.5788E+12

851.20 5.0062E-02 2.8865E-02 3.7669E+07 2.1725E+07 -1.7190E+05 -9.9170E+04 1476.0 851.04 1.0864E+04 3.5788E+12 3.5788E+12

861.84 4.1028E-02 2.3656E-02 3.5764E+07 2.0626E+07 -1.8688E+05 -1.0781E+05 1339.1 772.10 1.0329E+04 3.5788E+12 3.5788E+12

872.48 3.3126E-02 1.9099E-02 3.3706E+07 1.9439E+07 -1.9999E+05 -1.1536E+05 1125.3 648.78 9751.8 3.5788E+12 3.5788E+12

883.12 2.6290E-02 1.5157E-02 3.1520E+07 1.8178E+07 -2.1091E+05 -1.2166E+05 928.02 535.04 9138.2 3.5788E+12 3.5788E+12

Page 52: Willis Avenue Bridge – Pivot Pier

51

893.76 2.0451E-02 1.1791E-02 2.9228E+07 1.6856E+07 -2.1984E+05 -1.2681E+05 749.11 431.88 8494.9 3.5788E+12 3.5788E+12

904.40 1.5537E-02 8.9572E-03 2.6851E+07 1.5484E+07 -2.2696E+05 -1.3091E+05 589.77 340.01 7827.6 3.5788E+12 3.5788E+12

915.04 1.1472E-02 6.6135E-03 2.4406E+07 1.4074E+07 -2.3249E+05 -1.3410E+05 450.73 259.84 7141.3 3.5788E+12 3.5788E+12

925.68 8.1794E-03 4.7150E-03 2.1909E+07 1.2634E+07 -2.3666E+05 -1.3650E+05 332.24 191.52 6440.6 3.5788E+12 3.5788E+12

936.32 5.5797E-03 3.2162E-03 1.9375E+07 1.1172E+07 -2.3967E+05 -1.3824E+05 234.06 134.92 5729.2 3.5788E+12 3.5788E+12

946.96 3.5928E-03 2.0708E-03 1.6813E+07 9.6946E+06 -2.4174E+05 -1.3944E+05 155.49 89.622 5010.1 3.5788E+12 3.5788E+12

957.60 2.1379E-03 1.2321E-03 1.4233E+07 8.2066E+06 -2.4308E+05 -1.4020E+05 95.368 54.962 4286.1 3.5788E+12 3.5788E+12

968.24 1.1331E-03 6.5296E-04 1.1642E+07 6.7122E+06 -2.4386E+05 -1.4066E+05 52.055 29.996 3558.9 3.5788E+12 3.5788E+12

978.88 4.9671E-04 2.8618E-04 9.0452E+06 5.2142E+06 -2.4427E+05 -1.4089E+05 23.479 13.527 2829.9 3.5788E+12 3.5788E+12

989.52 1.4641E-04 8.4336E-05 6.4452E+06 3.7145E+06 -2.4443E+05 -1.4098E+05 7.1155 4.0987 2100.1 3.5788E+12 3.5788E+12

1000.2 1.0618E-10 5.3760E-11 3.8442E+06 2.2143E+06 -2.4581E+05 -1.4168E+05 252.66 127.93 1334.6 3.5788E+12 3.5788E+12

1010.8 -2.4807E-05 -1.4289E-05 1.2145E+06 6.9957E+05 -1.8522E+05 -1.0669E+05 -1.1641E+04 -6705.6 561.83 3.5788E+12 3.5788E+12

1021.4 -1.1195E-05 -6.4488E-06 -9.7296E+04 -5.6044E+04 -7.1668E+04 -4.1282E+04 -9703.0 -5589.1 213.78 3.5788E+12 3.5788E+12

1032.1 -6.6146E-07 -3.8101E-07 -3.1061E+05 -1.7892E+05 3451.3 1988.0 -4417.2 -2544.4 239.35 3.5788E+12 3.5788E+12

1042.7 4.6655E-08 2.6874E-08 -2.3856E+04 -1.3742E+04 1.4665E+04 8447.6 2309.3 1330.2 124.93 3.5788E+12 3.5788E+12

1053.4 1.1000E-10 6.3361E-11 1467.9 845.54 1121.1 645.76 236.66 136.32 84.882 3.5788E+12 3.5788E+12

1064.0 -4.9209E-14 -2.8345E-14 3.1920E-17 -5.9251E-17 -1.9119E-15 2.7101E-15 -25.932 -14.938 50.850 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 6

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

1.1740E-02 3.4136 1.9397 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

6.1154E+05 2.8836E+05 1.6372E+05 8.4490E+05 -6.3130E+07 1.1123E+08

STR,LBS/IN**2

3.1307E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

1.1740E-02 3.4136 1.9397 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

6.1154E+05 2.8836E+05 1.6372E+05 8.4490E+05 -6.3130E+07 1.1123E+08

STR,LBS/IN**2

3.1307E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

Page 53: Willis Avenue Bridge – Pivot Pier

52

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.4136 1.9397 -1.1123E+08 -6.3130E+07 2.8838E+05 1.6373E+05 0.0000 0.0000 3.1307E+04 3.5788E+12 3.5788E+12

10.640 3.4114 1.9384 -1.0816E+08 -6.1388E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 3.0449E+04 3.5788E+12 3.5788E+12

21.280 3.4059 1.9352 -1.0509E+08 -5.9645E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 2.9591E+04 3.5788E+12 3.5788E+12

31.920 3.3970 1.9301 -1.0201E+08 -5.7900E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 2.8732E+04 3.5788E+12 3.5788E+12

42.560 3.3849 1.9232 -9.8940E+07 -5.6154E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 2.7873E+04 3.5788E+12 3.5788E+12

53.200 3.3696 1.9145 -9.5863E+07 -5.4408E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 2.7012E+04 3.5788E+12 3.5788E+12

63.840 3.3513 1.9041 -9.2785E+07 -5.2660E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 2.6152E+04 3.5788E+12 3.5788E+12

74.480 3.3301 1.8920 -8.9705E+07 -5.0911E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 2.5291E+04 3.5788E+12 3.5788E+12

85.120 3.3061 1.8783 -8.6623E+07 -4.9161E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 2.4429E+04 3.5788E+12 3.5788E+12

95.760 3.2793 1.8631 -8.3539E+07 -4.7410E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 2.3567E+04 3.5788E+12 3.5788E+12

106.40 3.2498 1.8463 -8.0454E+07 -4.5658E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 2.2705E+04 3.5788E+12 3.5788E+12

117.04 3.2179 1.8281 -7.7367E+07 -4.3906E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 2.1842E+04 3.5788E+12 3.5788E+12

127.68 3.1834 1.8085 -7.4278E+07 -4.2152E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 2.0978E+04 3.5788E+12 3.5788E+12

138.32 3.1467 1.7876 -7.1188E+07 -4.0398E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 2.0115E+04 3.5788E+12 3.5788E+12

148.96 3.1076 1.7654 -6.8097E+07 -3.8643E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 1.9250E+04 3.5788E+12 3.5788E+12

159.60 3.0664 1.7420 -6.5005E+07 -3.6887E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 1.8386E+04 3.5788E+12 3.5788E+12

170.24 3.0232 1.7174 -6.1911E+07 -3.5131E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 1.7521E+04 3.5788E+12 3.5788E+12

180.88 2.9780 1.6917 -5.8816E+07 -3.3374E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 1.6656E+04 3.5788E+12 3.5788E+12

191.52 2.9309 1.6650 -5.5720E+07 -3.1616E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 1.5790E+04 3.5788E+12 3.5788E+12

202.16 2.8821 1.6372 -5.2623E+07 -2.9857E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 1.4925E+04 3.5788E+12 3.5788E+12

212.80 2.8316 1.6085 -4.9525E+07 -2.8098E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 1.4059E+04 3.5788E+12 3.5788E+12

223.44 2.7796 1.5789 -4.6426E+07 -2.6339E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 1.3192E+04 3.5788E+12 3.5788E+12

234.08 2.7260 1.5485 -4.3326E+07 -2.4579E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 1.2326E+04 3.5788E+12 3.5788E+12

244.72 2.6712 1.5173 -4.0225E+07 -2.2818E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 1.1459E+04 3.5788E+12 3.5788E+12

255.36 2.6150 1.4854 -3.7123E+07 -2.1057E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 1.0592E+04 3.5788E+12 3.5788E+12

266.00 2.5576 1.4528 -3.4021E+07 -1.9296E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 9724.4 3.5788E+12 3.5788E+12

276.64 2.4992 1.4196 -3.0918E+07 -1.7534E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 8856.9 3.5788E+12 3.5788E+12

287.28 2.4398 1.3859 -2.7814E+07 -1.5772E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 7989.3 3.5788E+12 3.5788E+12

297.92 2.3796 1.3516 -2.4710E+07 -1.4009E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 7121.5 3.5788E+12 3.5788E+12

308.56 2.3185 1.3169 -2.1605E+07 -1.2247E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 6253.6 3.5788E+12 3.5788E+12

319.20 2.2568 1.2819 -1.8500E+07 -1.0484E+07 2.8828E+05 1.6367E+05 0.0000 0.0000 5385.6 3.5788E+12 3.5788E+12

329.84 2.1944 1.2464 -1.5395E+07 -8.7205E+06 2.8828E+05 1.6367E+05 0.0000 0.0000 4517.5 3.5788E+12 3.5788E+12

340.48 2.1316 1.2108 -1.2289E+07 -6.9572E+06 2.8828E+05 1.6367E+05 0.0000 0.0000 3649.3 3.5788E+12 3.5788E+12

351.12 2.0684 1.1748 -9.1830E+06 -5.1938E+06 2.8828E+05 1.6367E+05 0.0000 0.0000 2781.0 3.5788E+12 3.5788E+12

361.76 2.0049 1.1388 -6.0769E+06 -3.4302E+06 2.8828E+05 1.6367E+05 0.0000 0.0000 1912.7 3.5788E+12 3.5788E+12

372.40 1.9413 1.1026 -2.9707E+06 -1.6666E+06 2.8822E+05 1.6364E+05 11.007 6.2520 1044.4 3.5788E+12 3.5788E+12

383.04 1.8775 1.0664 1.3441E+05 9.6299E+04 2.8778E+05 1.6339E+05 72.330 41.082 256.51 3.5788E+12 3.5788E+12

393.68 1.8137 1.0301 3.2313E+06 1.8546E+06 2.8656E+05 1.6270E+05 156.11 88.667 1122.0 3.5788E+12 3.5788E+12

404.32 1.7500 0.9940 6.3104E+06 3.6028E+06 2.8433E+05 1.6143E+05 263.13 149.45 1982.8 3.5788E+12 3.5788E+12

414.96 1.6866 0.9579 9.3596E+06 5.3340E+06 2.8085E+05 1.5945E+05 391.83 222.54 2835.2 3.5788E+12 3.5788E+12

425.60 1.6234 0.9220 1.2364E+07 7.0399E+06 2.7586E+05 1.5662E+05 545.24 309.68 3675.1 3.5788E+12 3.5788E+12

436.24 1.5606 0.8864 1.5307E+07 8.7106E+06 2.6850E+05 1.5244E+05 840.18 477.19 4497.5 3.5788E+12 3.5788E+12

446.88 1.4983 0.8510 1.8154E+07 1.0327E+07 2.5943E+05 1.4729E+05 865.48 491.55 5293.3 3.5788E+12 3.5788E+12

457.52 1.4366 0.8159 2.0903E+07 1.1888E+07 2.5009E+05 1.4198E+05 889.68 505.30 6061.5 3.5788E+12 3.5788E+12

468.16 1.3755 0.7812 2.3551E+07 1.3391E+07 2.4051E+05 1.3654E+05 912.84 518.44 6801.5 3.5788E+12 3.5788E+12

478.80 1.3152 0.7470 2.6095E+07 1.4835E+07 2.3068E+05 1.3096E+05 934.97 531.01 7512.4 3.5788E+12 3.5788E+12

489.44 1.2557 0.7132 2.8533E+07 1.6219E+07 2.2062E+05 1.2525E+05 956.08 543.00 8193.7 3.5788E+12 3.5788E+12

500.08 1.1971 0.6799 3.0862E+07 1.7541E+07 2.1035E+05 1.1941E+05 976.17 554.40 8844.5 3.5788E+12 3.5788E+12

510.72 1.1395 0.6472 3.3080E+07 1.8800E+07 1.9986E+05 1.1346E+05 995.22 565.22 9464.3 3.5788E+12 3.5788E+12

521.36 1.0829 0.6150 3.5184E+07 1.9995E+07 1.8918E+05 1.0739E+05 1013.2 575.44 1.0052E+04 3.5788E+12 3.5788E+12

532.00 1.0275 0.5835 3.7173E+07 2.1124E+07 1.7831E+05 1.0122E+05 1030.2 585.06 1.0608E+04 3.5788E+12 3.5788E+12

542.64 0.9732 0.5527 3.9045E+07 2.2187E+07 1.6727E+05 9.4946E+04 1046.0 594.06 1.1131E+04 3.5788E+12 3.5788E+12

553.28 0.9202 0.5226 4.0798E+07 2.3182E+07 1.5606E+05 8.8582E+04 1060.8 602.44 1.1621E+04 3.5788E+12 3.5788E+12

563.92 0.8684 0.4932 4.2429E+07 2.4108E+07 1.4471E+05 8.2133E+04 1074.4 610.18 1.2077E+04 3.5788E+12 3.5788E+12

574.56 0.8180 0.4645 4.3939E+07 2.4964E+07 1.3321E+05 7.5604E+04 1086.9 617.28 1.2499E+04 3.5788E+12 3.5788E+12

585.20 0.7690 0.4367 4.5324E+07 2.5751E+07 1.2159E+05 6.9003E+04 1098.3 623.71 1.2886E+04 3.5788E+12 3.5788E+12

Page 54: Willis Avenue Bridge – Pivot Pier

53

595.84 0.7214 0.4097 4.6584E+07 2.6466E+07 1.0985E+05 6.2338E+04 1108.4 629.47 1.3238E+04 3.5788E+12 3.5788E+12

606.48 0.6753 0.3835 4.7718E+07 2.7109E+07 9.8013E+04 5.5615E+04 1117.3 634.54 1.3554E+04 3.5788E+12 3.5788E+12

617.12 0.6307 0.3582 4.8725E+07 2.7680E+07 8.6086E+04 4.8841E+04 1125.0 638.91 1.3836E+04 3.5788E+12 3.5788E+12

627.76 0.5876 0.3337 4.9603E+07 2.8179E+07 7.4083E+04 4.2025E+04 1131.5 642.56 1.4081E+04 3.5788E+12 3.5788E+12

638.40 0.5461 0.3101 5.0352E+07 2.8603E+07 6.2019E+04 3.5174E+04 1136.6 645.48 1.4290E+04 3.5788E+12 3.5788E+12

649.04 0.5062 0.2875 5.0971E+07 2.8955E+07 4.9906E+04 2.8295E+04 1140.5 647.65 1.4463E+04 3.5788E+12 3.5788E+12

659.68 0.4679 0.2657 5.1461E+07 2.9232E+07 3.7760E+04 2.1398E+04 1143.0 649.06 1.4600E+04 3.5788E+12 3.5788E+12

670.32 0.4313 0.2449 5.1820E+07 2.9436E+07 2.5595E+04 1.4489E+04 1144.1 649.69 1.4700E+04 3.5788E+12 3.5788E+12

680.96 0.3962 0.2250 5.2048E+07 2.9565E+07 1.3425E+04 7578.5 1143.8 649.53 1.4763E+04 3.5788E+12 3.5788E+12

691.60 0.3629 0.2061 5.2146E+07 2.9620E+07 1265.4 673.61 1142.1 648.55 1.4790E+04 3.5788E+12 3.5788E+12

702.24 0.3311 0.1880 5.2114E+07 2.9601E+07 -1.0868E+04 -6216.5 1138.9 646.74 1.4781E+04 3.5788E+12 3.5788E+12

712.88 0.3011 0.1710 5.1952E+07 2.9509E+07 -2.2960E+04 -1.3083E+04 1134.2 644.08 1.4736E+04 3.5788E+12 3.5788E+12

723.52 0.2726 0.1548 5.1661E+07 2.9343E+07 -3.4994E+04 -1.9916E+04 1128.0 640.54 1.4654E+04 3.5788E+12 3.5788E+12

734.16 0.2458 0.1396 5.1240E+07 2.9104E+07 -4.6953E+04 -2.6707E+04 1120.2 636.11 1.4536E+04 3.5788E+12 3.5788E+12

744.80 0.2207 0.1253 5.0692E+07 2.8792E+07 -5.8822E+04 -3.3447E+04 1110.8 630.77 1.4383E+04 3.5788E+12 3.5788E+12

755.44 0.1971 0.1119 5.0018E+07 2.8408E+07 -7.0581E+04 -4.0124E+04 1099.8 624.49 1.4194E+04 3.5788E+12 3.5788E+12

766.08 0.1751 9.9417E-02 4.9217E+07 2.7954E+07 -8.2214E+04 -4.6730E+04 1087.0 617.24 1.3970E+04 3.5788E+12 3.5788E+12

776.72 0.1546 8.7812E-02 4.8293E+07 2.7428E+07 -9.3702E+04 -5.3253E+04 1072.5 609.01 1.3712E+04 3.5788E+12 3.5788E+12

787.36 0.1357 7.7075E-02 4.7247E+07 2.6834E+07 -1.0503E+05 -5.9683E+04 1056.3 599.75 1.3419E+04 3.5788E+12 3.5788E+12

798.00 0.1183 6.7187E-02 4.6080E+07 2.6170E+07 -1.1617E+05 -6.6009E+04 1038.1 589.45 1.3092E+04 3.5788E+12 3.5788E+12

808.64 0.1024 5.8127E-02 4.4795E+07 2.5440E+07 -1.2711E+05 -7.2220E+04 1018.1 578.07 1.2733E+04 3.5788E+12 3.5788E+12

819.28 8.7834E-02 4.9871E-02 4.3393E+07 2.4644E+07 -1.3782E+05 -7.8304E+04 996.10 565.57 1.2341E+04 3.5788E+12 3.5788E+12

829.92 7.4669E-02 4.2395E-02 4.1878E+07 2.3783E+07 -1.4829E+05 -8.4248E+04 972.08 551.92 1.1917E+04 3.5788E+12 3.5788E+12

840.56 6.2827E-02 3.5671E-02 4.0252E+07 2.2859E+07 -1.5850E+05 -9.0042E+04 945.96 537.08 1.1462E+04 3.5788E+12 3.5788E+12

851.20 5.2260E-02 2.9670E-02 3.8519E+07 2.1875E+07 -1.7157E+05 -9.7463E+04 1511.2 857.97 1.0978E+04 3.5788E+12 3.5788E+12

861.84 4.2910E-02 2.4362E-02 3.6613E+07 2.0792E+07 -1.8706E+05 -1.0626E+05 1400.6 795.15 1.0445E+04 3.5788E+12 3.5788E+12

872.48 3.4719E-02 1.9711E-02 3.4548E+07 1.9619E+07 -2.0078E+05 -1.1405E+05 1179.4 669.56 9867.3 3.5788E+12 3.5788E+12

883.12 2.7621E-02 1.5681E-02 3.2350E+07 1.8370E+07 -2.1224E+05 -1.2056E+05 974.99 553.51 9252.5 3.5788E+12 3.5788E+12

893.76 2.1546E-02 1.2231E-02 3.0040E+07 1.7058E+07 -2.2163E+05 -1.2588E+05 789.21 448.02 8606.6 3.5788E+12 3.5788E+12

904.40 1.6421E-02 9.3218E-03 2.7640E+07 1.5695E+07 -2.2914E+05 -1.3015E+05 623.34 353.85 7935.6 3.5788E+12 3.5788E+12

915.04 1.2171E-02 6.9088E-03 2.5169E+07 1.4292E+07 -2.3500E+05 -1.3348E+05 478.19 271.44 7244.8 3.5788E+12 3.5788E+12

925.68 8.7169E-03 4.9478E-03 2.2644E+07 1.2857E+07 -2.3943E+05 -1.3599E+05 354.07 200.98 6538.6 3.5788E+12 3.5788E+12

936.32 5.9791E-03 3.3936E-03 2.0078E+07 1.1400E+07 -2.4265E+05 -1.3782E+05 250.82 142.36 5821.2 3.5788E+12 3.5788E+12

946.96 3.8764E-03 2.2000E-03 1.7483E+07 9.9263E+06 -2.4488E+05 -1.3908E+05 167.77 95.214 5095.7 3.5788E+12 3.5788E+12

957.60 2.3268E-03 1.3204E-03 1.4869E+07 8.4416E+06 -2.4632E+05 -1.3990E+05 103.79 58.902 4364.8 3.5788E+12 3.5788E+12

968.24 1.2475E-03 7.0784E-04 1.2243E+07 6.9501E+06 -2.4718E+05 -1.4039E+05 57.308 32.517 3630.5 3.5788E+12 3.5788E+12

978.88 5.5547E-04 3.1513E-04 9.6099E+06 5.4548E+06 -2.4762E+05 -1.4064E+05 26.257 14.896 2894.4 3.5788E+12 3.5788E+12

989.52 1.6746E-04 9.4986E-05 6.9739E+06 3.9577E+06 -2.4780E+05 -1.4074E+05 8.1385 4.6163 2157.4 3.5788E+12 3.5788E+12

1000.2 6.1977E-08 3.4687E-08 4.3369E+06 2.4600E+06 -2.6001E+05 -1.4758E+05 2287.0 1279.9 1394.8 3.5788E+12 3.5788E+12

1010.8 -3.0146E-05 -1.7099E-05 1.4409E+06 8.1732E+05 -2.0677E+05 -1.1728E+05 -1.2295E+04 -6974.1 560.42 3.5788E+12 3.5788E+12

1021.4 -1.4772E-05 -8.3787E-06 -6.3121E+04 -3.5807E+04 -8.5438E+04 -4.8461E+04 -1.0511E+04 -5962.2 150.65 3.5788E+12 3.5788E+12

1032.1 -1.3940E-06 -7.9070E-07 -3.7719E+05 -2.1395E+05 743.05 421.65 -5688.1 -3226.3 213.98 3.5788E+12 3.5788E+12

1042.7 5.1592E-08 2.9264E-08 -4.7313E+04 -2.6837E+04 1.7800E+04 1.0097E+04 2481.8 1407.7 97.553 3.5788E+12 3.5788E+12

1053.4 5.0796E-10 2.8812E-10 1598.8 906.87 2223.4 1261.1 446.17 253.07 60.694 3.5788E+12 3.5788E+12

1064.0 -3.2556E-14 -1.8467E-14 5.8094E-16 1.1172E-17 -5.7277E-16 2.0468E-15 -28.245 -16.021 36.268 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 7

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

Page 55: Willis Avenue Bridge – Pivot Pier

54

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

-8.7540E-04 3.5560 1.9397 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

-4.2561E+04 3.0050E+05 1.6375E+05 8.4490E+05 -6.2789E+07 1.1527E+08

STR,LBS/IN**2

3.1924E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

-8.7540E-04 3.5560 1.9397 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

-4.2561E+04 3.0050E+05 1.6375E+05 8.4490E+05 -6.2789E+07 1.1527E+08

STR,LBS/IN**2

3.1924E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.5560 1.9397 -1.1527E+08 -6.2789E+07 3.0050E+05 1.6375E+05 0.0000 0.0000 3.1924E+04 3.5788E+12 3.5788E+12

10.640 3.5538 1.9384 -1.1207E+08 -6.1047E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 3.1039E+04 3.5788E+12 3.5788E+12

21.280 3.5480 1.9352 -1.0887E+08 -5.9305E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 3.0154E+04 3.5788E+12 3.5788E+12

31.920 3.5388 1.9302 -1.0568E+08 -5.7563E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 2.9269E+04 3.5788E+12 3.5788E+12

42.560 3.5263 1.9233 -1.0248E+08 -5.5820E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 2.8384E+04 3.5788E+12 3.5788E+12

53.200 3.5105 1.9146 -9.9282E+07 -5.4078E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 2.7499E+04 3.5788E+12 3.5788E+12

63.840 3.4916 1.9043 -9.6085E+07 -5.2337E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 2.6614E+04 3.5788E+12 3.5788E+12

74.480 3.4696 1.8923 -9.2889E+07 -5.0595E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 2.5729E+04 3.5788E+12 3.5788E+12

85.120 3.4447 1.8787 -8.9693E+07 -4.8853E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 2.4844E+04 3.5788E+12 3.5788E+12

95.760 3.4170 1.8635 -8.6496E+07 -4.7111E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 2.3959E+04 3.5788E+12 3.5788E+12

106.40 3.3865 1.8468 -8.3300E+07 -4.5369E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 2.3074E+04 3.5788E+12 3.5788E+12

117.04 3.3534 1.8287 -8.0104E+07 -4.3628E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 2.2189E+04 3.5788E+12 3.5788E+12

127.68 3.3177 1.8093 -7.6908E+07 -4.1886E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 2.1305E+04 3.5788E+12 3.5788E+12

138.32 3.2796 1.7885 -7.3713E+07 -4.0145E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 2.0420E+04 3.5788E+12 3.5788E+12

148.96 3.2392 1.7664 -7.0517E+07 -3.8403E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 1.9535E+04 3.5788E+12 3.5788E+12

159.60 3.1966 1.7431 -6.7321E+07 -3.6662E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 1.8650E+04 3.5788E+12 3.5788E+12

170.24 3.1518 1.7187 -6.4126E+07 -3.4921E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 1.7766E+04 3.5788E+12 3.5788E+12

180.88 3.1050 1.6932 -6.0931E+07 -3.3179E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 1.6881E+04 3.5788E+12 3.5788E+12

191.52 3.0563 1.6666 -5.7735E+07 -3.1438E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 1.5996E+04 3.5788E+12 3.5788E+12

202.16 3.0058 1.6390 -5.4540E+07 -2.9697E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 1.5112E+04 3.5788E+12 3.5788E+12

212.80 2.9535 1.6105 -5.1345E+07 -2.7956E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 1.4227E+04 3.5788E+12 3.5788E+12

223.44 2.8996 1.5810 -4.8150E+07 -2.6215E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 1.3343E+04 3.5788E+12 3.5788E+12

234.08 2.8441 1.5508 -4.4955E+07 -2.4474E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 1.2458E+04 3.5788E+12 3.5788E+12

244.72 2.7873 1.5198 -4.1760E+07 -2.2733E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 1.1574E+04 3.5788E+12 3.5788E+12

255.36 2.7291 1.4881 -3.8565E+07 -2.0992E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 1.0689E+04 3.5788E+12 3.5788E+12

266.00 2.6697 1.4557 -3.5370E+07 -1.9251E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 9804.5 3.5788E+12 3.5788E+12

276.64 2.6092 1.4227 -3.2175E+07 -1.7510E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 8920.1 3.5788E+12 3.5788E+12

287.28 2.5477 1.3891 -2.8980E+07 -1.5769E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 8035.6 3.5788E+12 3.5788E+12

Page 56: Willis Avenue Bridge – Pivot Pier

55

297.92 2.4853 1.3550 -2.5786E+07 -1.4028E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 7151.1 3.5788E+12 3.5788E+12

308.56 2.4220 1.3205 -2.2591E+07 -1.2287E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 6266.7 3.5788E+12 3.5788E+12

319.20 2.3580 1.2856 -1.9396E+07 -1.0546E+07 3.0051E+05 1.6376E+05 0.0000 0.0000 5382.2 3.5788E+12 3.5788E+12

329.84 2.2935 1.2504 -1.6202E+07 -8.8051E+06 3.0051E+05 1.6376E+05 0.0000 0.0000 4497.8 3.5788E+12 3.5788E+12

340.48 2.2284 1.2149 -1.3007E+07 -7.0643E+06 3.0051E+05 1.6376E+05 0.0000 0.0000 3613.3 3.5788E+12 3.5788E+12

351.12 2.1629 1.1792 -9.8126E+06 -5.3234E+06 3.0051E+05 1.6376E+05 0.0000 0.0000 2728.9 3.5788E+12 3.5788E+12

361.76 2.0970 1.1433 -6.6180E+06 -3.5826E+06 3.0051E+05 1.6376E+05 0.0000 0.0000 1844.5 3.5788E+12 3.5788E+12

372.40 2.0310 1.1073 -3.4234E+06 -1.8417E+06 3.0045E+05 1.6372E+05 11.159 6.0840 960.08 3.5788E+12 3.5788E+12

383.04 1.9649 1.0712 -2.3010E+05 -1.0159E+05 2.9999E+05 1.6348E+05 74.255 40.483 76.202 3.5788E+12 3.5788E+12

393.68 1.8987 1.0352 2.9548E+06 1.6340E+06 2.9875E+05 1.6280E+05 160.01 87.232 835.88 3.5788E+12 3.5788E+12

404.32 1.8327 0.9991 6.1216E+06 3.3597E+06 2.9646E+05 1.6155E+05 269.44 146.89 1712.6 3.5788E+12 3.5788E+12

414.96 1.7668 0.9632 9.2579E+06 5.0687E+06 2.9289E+05 1.5961E+05 401.12 218.68 2580.9 3.5788E+12 3.5788E+12

425.60 1.7013 0.9275 1.2349E+07 6.7530E+06 2.8779E+05 1.5682E+05 558.05 304.23 3436.6 3.5788E+12 3.5788E+12

436.24 1.6361 0.8919 1.5376E+07 8.4029E+06 2.8027E+05 1.5272E+05 856.36 466.86 4274.8 3.5788E+12 3.5788E+12

446.88 1.5714 0.8567 1.8307E+07 1.0000E+07 2.7102E+05 1.4768E+05 882.23 480.96 5086.2 3.5788E+12 3.5788E+12

457.52 1.5073 0.8217 2.1138E+07 1.1543E+07 2.6150E+05 1.4249E+05 907.00 494.46 5869.9 3.5788E+12 3.5788E+12

468.16 1.4438 0.7871 2.3867E+07 1.3029E+07 2.5172E+05 1.3716E+05 930.71 507.38 6625.2 3.5788E+12 3.5788E+12

478.80 1.3812 0.7529 2.6490E+07 1.4458E+07 2.4170E+05 1.3170E+05 953.38 519.73 7351.4 3.5788E+12 3.5788E+12

489.44 1.3193 0.7192 2.9005E+07 1.5829E+07 2.3144E+05 1.2610E+05 975.02 531.53 8047.6 3.5788E+12 3.5788E+12

500.08 1.2584 0.6860 3.1409E+07 1.7139E+07 2.2095E+05 1.2039E+05 995.63 542.76 8713.3 3.5788E+12 3.5788E+12

510.72 1.1984 0.6533 3.3701E+07 1.8388E+07 2.1026E+05 1.1456E+05 1015.2 553.42 9347.9 3.5788E+12 3.5788E+12

521.36 1.1396 0.6212 3.5879E+07 1.9574E+07 1.9935E+05 1.0861E+05 1033.7 563.50 9950.6 3.5788E+12 3.5788E+12

532.00 1.0818 0.5897 3.7939E+07 2.0697E+07 1.8826E+05 1.0257E+05 1051.1 573.01 1.0521E+04 3.5788E+12 3.5788E+12

542.64 1.0253 0.5589 3.9880E+07 2.1754E+07 1.7699E+05 9.6423E+04 1067.5 581.91 1.1058E+04 3.5788E+12 3.5788E+12

553.28 0.9700 0.5288 4.1700E+07 2.2746E+07 1.6555E+05 9.0187E+04 1082.7 590.21 1.1562E+04 3.5788E+12 3.5788E+12

563.92 0.9161 0.4994 4.3398E+07 2.3671E+07 1.5396E+05 8.3867E+04 1096.8 597.90 1.2032E+04 3.5788E+12 3.5788E+12

574.56 0.8635 0.4707 4.4972E+07 2.4528E+07 1.4222E+05 7.7467E+04 1109.8 604.95 1.2468E+04 3.5788E+12 3.5788E+12

585.20 0.8123 0.4428 4.6420E+07 2.5317E+07 1.3035E+05 7.0996E+04 1121.6 611.37 1.2869E+04 3.5788E+12 3.5788E+12

595.84 0.7627 0.4157 4.7742E+07 2.6037E+07 1.1836E+05 6.4461E+04 1132.1 617.13 1.3235E+04 3.5788E+12 3.5788E+12

606.48 0.7145 0.3895 4.8935E+07 2.6686E+07 1.0626E+05 5.7867E+04 1141.5 622.22 1.3565E+04 3.5788E+12 3.5788E+12

617.12 0.6678 0.3640 4.9999E+07 2.7266E+07 9.4073E+04 5.1223E+04 1149.6 626.64 1.3859E+04 3.5788E+12 3.5788E+12

627.76 0.6228 0.3395 5.0933E+07 2.7774E+07 8.1804E+04 4.4536E+04 1156.4 630.36 1.4118E+04 3.5788E+12 3.5788E+12

638.40 0.5794 0.3158 5.1736E+07 2.8212E+07 6.9470E+04 3.7813E+04 1162.0 633.37 1.4340E+04 3.5788E+12 3.5788E+12

649.04 0.5376 0.2930 5.2408E+07 2.8577E+07 5.7084E+04 3.1062E+04 1166.2 635.66 1.4526E+04 3.5788E+12 3.5788E+12

659.68 0.4974 0.2711 5.2947E+07 2.8871E+07 4.4661E+04 2.4290E+04 1169.0 637.20 1.4675E+04 3.5788E+12 3.5788E+12

670.32 0.4589 0.2502 5.3355E+07 2.9092E+07 3.2214E+04 1.7506E+04 1170.5 638.00 1.4788E+04 3.5788E+12 3.5788E+12

680.96 0.4222 0.2301 5.3630E+07 2.9242E+07 1.9760E+04 1.0717E+04 1170.5 638.02 1.4864E+04 3.5788E+12 3.5788E+12

691.60 0.3871 0.2110 5.3772E+07 2.9319E+07 7312.6 3932.8 1169.2 637.25 1.4904E+04 3.5788E+12 3.5788E+12

702.24 0.3537 0.1928 5.3783E+07 2.9324E+07 -5112.0 -2839.3 1166.3 635.68 1.4906E+04 3.5788E+12 3.5788E+12

712.88 0.3220 0.1755 5.3661E+07 2.9257E+07 -1.7498E+04 -9590.2 1161.9 633.28 1.4873E+04 3.5788E+12 3.5788E+12

723.52 0.2920 0.1592 5.3408E+07 2.9118E+07 -2.9829E+04 -1.6311E+04 1155.9 630.03 1.4802E+04 3.5788E+12 3.5788E+12

734.16 0.2637 0.1437 5.3024E+07 2.8908E+07 -4.2088E+04 -2.2993E+04 1148.4 625.92 1.4696E+04 3.5788E+12 3.5788E+12

744.80 0.2371 0.1292 5.2510E+07 2.8628E+07 -5.4258E+04 -2.9626E+04 1139.2 620.92 1.4554E+04 3.5788E+12 3.5788E+12

755.44 0.2121 0.1156 5.1867E+07 2.8277E+07 -6.6322E+04 -3.6201E+04 1128.4 615.01 1.4376E+04 3.5788E+12 3.5788E+12

766.08 0.1888 0.1029 5.1096E+07 2.7856E+07 -7.8262E+04 -4.2708E+04 1115.9 608.16 1.4162E+04 3.5788E+12 3.5788E+12

776.72 0.1671 9.1088E-02 5.0200E+07 2.7367E+07 -9.0059E+04 -4.9138E+04 1101.5 600.35 1.3914E+04 3.5788E+12 3.5788E+12

787.36 0.1470 8.0125E-02 4.9178E+07 2.6810E+07 -1.0169E+05 -5.5479E+04 1085.4 591.55 1.3631E+04 3.5788E+12 3.5788E+12

798.00 0.1285 7.0011E-02 4.8034E+07 2.6185E+07 -1.1315E+05 -6.1721E+04 1067.4 581.73 1.3314E+04 3.5788E+12 3.5788E+12

808.64 0.1114 6.0725E-02 4.6769E+07 2.5495E+07 -1.2440E+05 -6.7852E+04 1047.5 570.86 1.2964E+04 3.5788E+12 3.5788E+12

819.28 9.5869E-02 5.2246E-02 4.5386E+07 2.4741E+07 -1.3543E+05 -7.3863E+04 1025.6 558.91 1.2581E+04 3.5788E+12 3.5788E+12

829.92 8.1747E-02 4.4549E-02 4.3886E+07 2.3923E+07 -1.4621E+05 -7.9740E+04 1001.6 545.84 1.2165E+04 3.5788E+12 3.5788E+12

840.56 6.9013E-02 3.7609E-02 4.2273E+07 2.3043E+07 -1.5673E+05 -8.5472E+04 975.51 531.60 1.1719E+04 3.5788E+12 3.5788E+12

851.20 5.7617E-02 3.1398E-02 4.0550E+07 2.2104E+07 -1.7041E+05 -9.2924E+04 1595.0 869.19 1.1242E+04 3.5788E+12 3.5788E+12

861.84 4.7504E-02 2.5886E-02 3.8646E+07 2.1065E+07 -1.8714E+05 -1.0204E+05 1550.5 844.89 1.0714E+04 3.5788E+12 3.5788E+12

872.48 3.8613E-02 2.1040E-02 3.6567E+07 1.9932E+07 -2.0237E+05 -1.1034E+05 1311.6 714.72 1.0139E+04 3.5788E+12 3.5788E+12

883.12 3.0878E-02 1.6825E-02 3.4339E+07 1.8717E+07 -2.1514E+05 -1.1730E+05 1090.0 593.92 9521.8 3.5788E+12 3.5788E+12

893.76 2.4230E-02 1.3202E-02 3.1988E+07 1.7435E+07 -2.2566E+05 -1.2303E+05 887.53 483.59 8870.8 3.5788E+12 3.5788E+12

904.40 1.8594E-02 1.0131E-02 2.9536E+07 1.6099E+07 -2.3414E+05 -1.2765E+05 705.82 384.57 8192.0 3.5788E+12 3.5788E+12

915.04 1.3892E-02 7.5689E-03 2.7005E+07 1.4718E+07 -2.4080E+05 -1.3128E+05 545.82 297.38 7491.1 3.5788E+12 3.5788E+12

Page 57: Willis Avenue Bridge – Pivot Pier

56

925.68 1.0045E-02 5.4724E-03 2.4412E+07 1.3305E+07 -2.4587E+05 -1.3405E+05 408.02 222.29 6773.1 3.5788E+12 3.5788E+12

936.32 6.9697E-03 3.7968E-03 2.1773E+07 1.1866E+07 -2.4960E+05 -1.3608E+05 292.37 159.27 6042.3 3.5788E+12 3.5788E+12

946.96 4.5831E-03 2.4965E-03 1.9100E+07 1.0409E+07 -2.5221E+05 -1.3750E+05 198.35 108.05 5302.4 3.5788E+12 3.5788E+12

957.60 2.8008E-03 1.5255E-03 1.6405E+07 8.9397E+06 -2.5393E+05 -1.3843E+05 124.94 68.052 4556.3 3.5788E+12 3.5788E+12

968.24 1.5375E-03 8.3732E-04 1.3696E+07 7.4629E+06 -2.5497E+05 -1.3900E+05 70.630 38.466 3806.2 3.5788E+12 3.5788E+12

978.88 7.0738E-04 3.8519E-04 1.0979E+07 5.9817E+06 -2.5552E+05 -1.3930E+05 33.437 18.207 3053.9 3.5788E+12 3.5788E+12

989.52 2.2461E-04 1.2228E-04 8.2588E+06 4.4985E+06 -2.5576E+05 -1.3943E+05 10.916 5.9428 2300.6 3.5788E+12 3.5788E+12

1000.2 3.1001E-06 1.6805E-06 5.5369E+06 3.0146E+06 -2.9237E+05 -1.5928E+05 6869.9 3724.1 1544.9 3.5788E+12 3.5788E+12

1010.8 -4.3261E-05 -2.3557E-05 2.0373E+06 1.1091E+06 -2.5658E+05 -1.3970E+05 -1.3597E+04 -7404.1 574.11 3.5788E+12 3.5788E+12

1021.4 -2.5176E-05 -1.3708E-05 7.6975E+04 4.1852E+04 -1.1927E+05 -6.4938E+04 -1.2211E+04 -6648.7 29.451 3.5788E+12 3.5788E+12

1032.1 -4.6567E-06 -2.5353E-06 -5.0090E+05 -2.7274E+05 -1.0575E+04 -5755.0 -8221.1 -4475.9 144.75 3.5788E+12 3.5788E+12

1042.7 1.7752E-08 9.6672E-09 -1.4807E+05 -8.0613E+04 2.3540E+04 1.2817E+04 1808.5 984.84 45.047 3.5788E+12 3.5788E+12

1053.4 8.3813E-09 4.5631E-09 31.273 17.101 6958.0 3788.2 1308.4 712.37 2.0389 3.5788E+12 3.5788E+12

1064.0 -7.6344E-17 -4.1747E-17 -1.5832E-15 -8.7588E-15 9.7413E-16 -1.0339E-15 -0.5525 -0.3021 1.0862E-07 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 13

* PILE GROUP * 8

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

-6.7142E-03 3.6156 1.9354 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

-3.2644E+05 3.0569E+05 1.6346E+05 8.4490E+05 -6.2518E+07 1.1696E+08

STR,LBS/IN**2

3.2356E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

-6.7142E-03 3.6156 1.9354 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

-3.2644E+05 3.0569E+05 1.6346E+05 8.4490E+05 -6.2518E+07 1.1696E+08

STR,LBS/IN**2

3.2356E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

Page 58: Willis Avenue Bridge – Pivot Pier

57

0.0000 3.6156 1.9354 -1.1696E+08 -6.2518E+07 3.0568E+05 1.6346E+05 0.0000 0.0000 3.2356E+04 3.5788E+12 3.5788E+12

10.640 3.6133 1.9341 -1.1371E+08 -6.0779E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 3.1460E+04 3.5788E+12 3.5788E+12

21.280 3.6075 1.9310 -1.1046E+08 -5.9040E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 3.0564E+04 3.5788E+12 3.5788E+12

31.920 3.5982 1.9259 -1.0721E+08 -5.7303E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 2.9668E+04 3.5788E+12 3.5788E+12

42.560 3.5854 1.9191 -1.0396E+08 -5.5565E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 2.8772E+04 3.5788E+12 3.5788E+12

53.200 3.5694 1.9104 -1.0071E+08 -5.3829E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 2.7877E+04 3.5788E+12 3.5788E+12

63.840 3.5502 1.9001 -9.7467E+07 -5.2092E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 2.6982E+04 3.5788E+12 3.5788E+12

74.480 3.5280 1.8882 -9.4221E+07 -5.0357E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 2.6087E+04 3.5788E+12 3.5788E+12

85.120 3.5027 1.8746 -9.0977E+07 -4.8622E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 2.5192E+04 3.5788E+12 3.5788E+12

95.760 3.4746 1.8595 -8.7733E+07 -4.6887E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 2.4298E+04 3.5788E+12 3.5788E+12

106.40 3.4437 1.8429 -8.4490E+07 -4.5153E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 2.3404E+04 3.5788E+12 3.5788E+12

117.04 3.4101 1.8249 -8.1248E+07 -4.3419E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 2.2510E+04 3.5788E+12 3.5788E+12

127.68 3.3739 1.8056 -7.8006E+07 -4.1686E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 2.1617E+04 3.5788E+12 3.5788E+12

138.32 3.3353 1.7849 -7.4766E+07 -3.9953E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 2.0723E+04 3.5788E+12 3.5788E+12

148.96 3.2943 1.7629 -7.1526E+07 -3.8221E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 1.9830E+04 3.5788E+12 3.5788E+12

159.60 3.2511 1.7397 -6.8287E+07 -3.6489E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 1.8937E+04 3.5788E+12 3.5788E+12

170.24 3.2057 1.7154 -6.5049E+07 -3.4758E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 1.8045E+04 3.5788E+12 3.5788E+12

180.88 3.1582 1.6900 -6.1811E+07 -3.3026E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 1.7152E+04 3.5788E+12 3.5788E+12

191.52 3.1088 1.6635 -5.8574E+07 -3.1296E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 1.6260E+04 3.5788E+12 3.5788E+12

202.16 3.0575 1.6360 -5.5338E+07 -2.9565E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 1.5368E+04 3.5788E+12 3.5788E+12

212.80 3.0045 1.6076 -5.2102E+07 -2.7835E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 1.4476E+04 3.5788E+12 3.5788E+12

223.44 2.9498 1.5784 -4.8867E+07 -2.6105E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 1.3584E+04 3.5788E+12 3.5788E+12

234.08 2.8936 1.5483 -4.5632E+07 -2.4375E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 1.2692E+04 3.5788E+12 3.5788E+12

244.72 2.8359 1.5174 -4.2398E+07 -2.2646E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 1.1800E+04 3.5788E+12 3.5788E+12

255.36 2.7769 1.4858 -3.9164E+07 -2.0916E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 1.0909E+04 3.5788E+12 3.5788E+12

266.00 2.7167 1.4536 -3.5931E+07 -1.9187E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 1.0018E+04 3.5788E+12 3.5788E+12

276.64 2.6553 1.4207 -3.2698E+07 -1.7459E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 9126.4 3.5788E+12 3.5788E+12

287.28 2.5929 1.3873 -2.9465E+07 -1.5730E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 8235.2 3.5788E+12 3.5788E+12

297.92 2.5295 1.3534 -2.6232E+07 -1.4002E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 7344.1 3.5788E+12 3.5788E+12

308.56 2.4653 1.3190 -2.3000E+07 -1.2273E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 6453.1 3.5788E+12 3.5788E+12

319.20 2.4004 1.2843 -1.9768E+07 -1.0545E+07 3.0574E+05 1.6349E+05 0.0000 0.0000 5562.2 3.5788E+12 3.5788E+12

329.84 2.3349 1.2492 -1.6537E+07 -8.8171E+06 3.0574E+05 1.6349E+05 0.0000 0.0000 4671.3 3.5788E+12 3.5788E+12

340.48 2.2689 1.2139 -1.3305E+07 -7.0891E+06 3.0574E+05 1.6349E+05 0.0000 0.0000 3780.4 3.5788E+12 3.5788E+12

351.12 2.2024 1.1783 -1.0074E+07 -5.3612E+06 3.0574E+05 1.6349E+05 0.0000 0.0000 2889.6 3.5788E+12 3.5788E+12

361.76 2.1356 1.1425 -6.8425E+06 -3.6334E+06 3.0574E+05 1.6349E+05 0.0000 0.0000 1998.9 3.5788E+12 3.5788E+12

372.40 2.0686 1.1067 -3.6113E+06 -1.9056E+06 3.0568E+05 1.6346E+05 11.207 5.9957 1108.1 3.5788E+12 3.5788E+12

383.04 2.0015 1.0708 -3.8143E+05 -1.7847E+05 3.0522E+05 1.6321E+05 74.761 39.996 217.84 3.5788E+12 3.5788E+12

393.68 1.9343 1.0348 2.8400E+06 1.5441E+06 3.0397E+05 1.6254E+05 161.66 86.485 901.32 3.5788E+12 3.5788E+12

404.32 1.8673 0.9990 6.0432E+06 3.2569E+06 3.0166E+05 1.6130E+05 272.12 145.58 1784.3 3.5788E+12 3.5788E+12

414.96 1.8004 0.9632 9.2156E+06 4.9533E+06 2.9806E+05 1.5938E+05 405.08 216.71 2658.9 3.5788E+12 3.5788E+12

425.60 1.7339 0.9276 1.2342E+07 6.6251E+06 2.9290E+05 1.5662E+05 563.50 301.46 3520.8 3.5788E+12 3.5788E+12

436.24 1.6677 0.8922 1.5405E+07 8.2630E+06 2.8531E+05 1.5256E+05 863.22 461.79 4365.0 3.5788E+12 3.5788E+12

446.88 1.6020 0.8570 1.8371E+07 9.8486E+06 2.7598E+05 1.4757E+05 889.33 475.76 5182.4 3.5788E+12 3.5788E+12

457.52 1.5369 0.8222 2.1236E+07 1.1380E+07 2.6639E+05 1.4243E+05 914.34 489.13 5972.0 3.5788E+12 3.5788E+12

468.16 1.4725 0.7877 2.3997E+07 1.2857E+07 2.5653E+05 1.3716E+05 938.28 501.94 6733.2 3.5788E+12 3.5788E+12

478.80 1.4088 0.7536 2.6653E+07 1.4277E+07 2.4642E+05 1.3175E+05 961.18 514.18 7465.2 3.5788E+12 3.5788E+12

489.44 1.3460 0.7200 2.9200E+07 1.5639E+07 2.3608E+05 1.2622E+05 983.05 525.87 8167.2 3.5788E+12 3.5788E+12

500.08 1.2841 0.6869 3.1636E+07 1.6941E+07 2.2550E+05 1.2056E+05 1003.9 537.01 8838.6 3.5788E+12 3.5788E+12

510.72 1.2232 0.6543 3.3959E+07 1.8183E+07 2.1472E+05 1.1479E+05 1023.7 547.59 9478.8 3.5788E+12 3.5788E+12

521.36 1.1633 0.6223 3.6166E+07 1.9363E+07 2.0372E+05 1.0891E+05 1042.4 557.60 1.0087E+04 3.5788E+12 3.5788E+12

532.00 1.1046 0.5909 3.8256E+07 2.0480E+07 1.9254E+05 1.0293E+05 1060.0 567.03 1.0663E+04 3.5788E+12 3.5788E+12

542.64 1.0472 0.5602 4.0226E+07 2.1533E+07 1.8117E+05 9.6847E+04 1076.6 575.88 1.1206E+04 3.5788E+12 3.5788E+12

553.28 0.9910 0.5301 4.2075E+07 2.2522E+07 1.6963E+05 9.0675E+04 1092.0 584.13 1.1715E+04 3.5788E+12 3.5788E+12

563.92 0.9361 0.5007 4.3800E+07 2.3444E+07 1.5793E+05 8.4419E+04 1106.3 591.77 1.2191E+04 3.5788E+12 3.5788E+12

574.56 0.8826 0.4721 4.5400E+07 2.4299E+07 1.4609E+05 7.8084E+04 1119.4 598.79 1.2632E+04 3.5788E+12 3.5788E+12

585.20 0.8305 0.4443 4.6875E+07 2.5087E+07 1.3411E+05 7.1678E+04 1131.4 605.19 1.3038E+04 3.5788E+12 3.5788E+12

595.84 0.7800 0.4172 4.8221E+07 2.5807E+07 1.2202E+05 6.5207E+04 1142.1 610.93 1.3409E+04 3.5788E+12 3.5788E+12

606.48 0.7309 0.3910 4.9439E+07 2.6458E+07 1.0981E+05 5.8679E+04 1151.7 616.03 1.3745E+04 3.5788E+12 3.5788E+12

617.12 0.6835 0.3656 5.0527E+07 2.7039E+07 9.7513E+04 5.2100E+04 1160.0 620.45 1.4045E+04 3.5788E+12 3.5788E+12

Page 59: Willis Avenue Bridge – Pivot Pier

58

627.76 0.6376 0.3410 5.1484E+07 2.7551E+07 8.5133E+04 4.5478E+04 1167.0 624.19 1.4308E+04 3.5788E+12 3.5788E+12

638.40 0.5933 0.3174 5.2310E+07 2.7992E+07 7.2685E+04 3.8820E+04 1172.6 627.22 1.4536E+04 3.5788E+12 3.5788E+12

649.04 0.5507 0.2946 5.3003E+07 2.8362E+07 6.0183E+04 3.2133E+04 1177.0 629.55 1.4727E+04 3.5788E+12 3.5788E+12

659.68 0.5098 0.2727 5.3564E+07 2.8661E+07 4.7643E+04 2.5426E+04 1180.0 631.15 1.4881E+04 3.5788E+12 3.5788E+12

670.32 0.4706 0.2517 5.3992E+07 2.8889E+07 3.5078E+04 1.8705E+04 1181.6 632.00 1.4999E+04 3.5788E+12 3.5788E+12

680.96 0.4331 0.2316 5.4286E+07 2.9046E+07 2.2504E+04 1.1980E+04 1181.8 632.09 1.5080E+04 3.5788E+12 3.5788E+12

691.60 0.3973 0.2125 5.4447E+07 2.9132E+07 9935.1 5257.3 1180.5 631.41 1.5124E+04 3.5788E+12 3.5788E+12

702.24 0.3632 0.1942 5.4475E+07 2.9146E+07 -2612.0 -1453.5 1177.8 629.93 1.5132E+04 3.5788E+12 3.5788E+12

712.88 0.3308 0.1769 5.4371E+07 2.9089E+07 -1.5122E+04 -8144.2 1173.5 627.63 1.5103E+04 3.5788E+12 3.5788E+12

723.52 0.3002 0.1606 5.4134E+07 2.8962E+07 -2.7577E+04 -1.4806E+04 1167.7 624.50 1.5037E+04 3.5788E+12 3.5788E+12

734.16 0.2713 0.1451 5.3765E+07 2.8764E+07 -3.9962E+04 -2.1430E+04 1160.2 620.52 1.4935E+04 3.5788E+12 3.5788E+12

744.80 0.2440 0.1305 5.3265E+07 2.8496E+07 -5.2260E+04 -2.8007E+04 1151.2 615.66 1.4797E+04 3.5788E+12 3.5788E+12

755.44 0.2185 0.1169 5.2636E+07 2.8159E+07 -6.4451E+04 -3.4527E+04 1140.4 609.90 1.4624E+04 3.5788E+12 3.5788E+12

766.08 0.1946 0.1041 5.1878E+07 2.7753E+07 -7.6519E+04 -4.0981E+04 1127.9 603.22 1.4415E+04 3.5788E+12 3.5788E+12

776.72 0.1724 9.2203E-02 5.0993E+07 2.7279E+07 -8.8445E+04 -4.7359E+04 1113.7 595.59 1.4171E+04 3.5788E+12 3.5788E+12

787.36 0.1518 8.1175E-02 4.9983E+07 2.6738E+07 -1.0021E+05 -5.3651E+04 1097.6 586.99 1.3892E+04 3.5788E+12 3.5788E+12

798.00 0.1328 7.0994E-02 4.8848E+07 2.6131E+07 -1.1179E+05 -5.9846E+04 1079.6 577.38 1.3579E+04 3.5788E+12 3.5788E+12

808.64 0.1153 6.1638E-02 4.7592E+07 2.5459E+07 -1.2318E+05 -6.5932E+04 1059.8 566.73 1.3232E+04 3.5788E+12 3.5788E+12

819.28 9.9274E-02 5.3088E-02 4.6216E+07 2.4722E+07 -1.3433E+05 -7.1900E+04 1037.9 555.01 1.2853E+04 3.5788E+12 3.5788E+12

829.92 8.4750E-02 4.5321E-02 4.4724E+07 2.3923E+07 -1.4525E+05 -7.7737E+04 1013.9 542.18 1.2441E+04 3.5788E+12 3.5788E+12

840.56 7.1641E-02 3.8309E-02 4.3117E+07 2.3063E+07 -1.5590E+05 -8.3432E+04 987.79 528.21 1.1998E+04 3.5788E+12 3.5788E+12

851.20 5.9896E-02 3.2028E-02 4.1398E+07 2.2144E+07 -1.6983E+05 -9.0879E+04 1629.9 871.57 1.1524E+04 3.5788E+12 3.5788E+12

861.84 4.9460E-02 2.6447E-02 3.9496E+07 2.1126E+07 -1.8709E+05 -1.0011E+05 1614.3 863.21 1.1000E+04 3.5788E+12 3.5788E+12

872.48 4.0274E-02 2.1534E-02 3.7411E+07 2.0010E+07 -2.0295E+05 -1.0859E+05 1368.1 731.50 1.0425E+04 3.5788E+12 3.5788E+12

883.12 3.2271E-02 1.7255E-02 3.5172E+07 1.8812E+07 -2.1629E+05 -1.1572E+05 1139.1 609.07 9807.4 3.5788E+12 3.5788E+12

893.76 2.5380E-02 1.3570E-02 3.2804E+07 1.7545E+07 -2.2730E+05 -1.2161E+05 929.66 497.05 9154.5 3.5788E+12 3.5788E+12

904.40 1.9528E-02 1.0440E-02 3.0331E+07 1.6222E+07 -2.3619E+05 -1.2636E+05 741.25 396.30 8472.7 3.5788E+12 3.5788E+12

915.04 1.4635E-02 7.8238E-03 2.7774E+07 1.4854E+07 -2.4319E+05 -1.3010E+05 574.98 307.39 7767.8 3.5788E+12 3.5788E+12

925.68 1.0620E-02 5.6773E-03 2.5153E+07 1.3452E+07 -2.4854E+05 -1.3297E+05 431.37 230.61 7045.0 3.5788E+12 3.5788E+12

936.32 7.4011E-03 3.9563E-03 2.2483E+07 1.2024E+07 -2.5249E+05 -1.3508E+05 310.47 165.96 6308.9 3.5788E+12 3.5788E+12

946.96 4.8935E-03 2.6156E-03 1.9778E+07 1.0577E+07 -2.5527E+05 -1.3656E+05 211.79 113.20 5563.1 3.5788E+12 3.5788E+12

957.60 3.0115E-03 1.6095E-03 1.7050E+07 9.1168E+06 -2.5711E+05 -1.3755E+05 134.34 71.799 4810.8 3.5788E+12 3.5788E+12

968.24 1.6689E-03 8.9183E-04 1.4306E+07 7.6491E+06 -2.5823E+05 -1.3815E+05 76.666 40.970 4054.3 3.5788E+12 3.5788E+12

978.88 7.7877E-04 4.1611E-04 1.1554E+07 6.1767E+06 -2.5883E+05 -1.3847E+05 36.812 19.669 3295.5 3.5788E+12 3.5788E+12

989.52 2.5417E-04 1.3578E-04 8.7975E+06 4.7022E+06 -2.5910E+05 -1.3861E+05 12.353 6.5986 2535.5 3.5788E+12 3.5788E+12

1000.2 7.8757E-06 4.1933E-06 6.0400E+06 3.2270E+06 -3.0481E+05 -1.6295E+05 8579.9 4568.3 1759.1 3.5788E+12 3.5788E+12

1010.8 -4.7357E-05 -2.5307E-05 2.3112E+06 1.2346E+06 -2.7604E+05 -1.4748E+05 -1.3988E+04 -7475.1 715.34 3.5788E+12 3.5788E+12

1021.4 -2.9479E-05 -1.5751E-05 1.6592E+05 8.8537E+04 -1.3351E+05 -7.1327E+04 -1.2802E+04 -6840.1 108.24 3.5788E+12 3.5788E+12

1032.1 -6.3527E-06 -3.3939E-06 -5.2999E+05 -2.8320E+05 -1.7232E+04 -9201.3 -9055.2 -4837.7 192.88 3.5788E+12 3.5788E+12

1042.7 8.0617E-09 4.3102E-09 -2.0078E+05 -1.0726E+05 2.4865E+04 1.3287E+04 1142.1 610.61 86.498 3.5788E+12 3.5788E+12

1053.4 1.7560E-08 9.3815E-09 -855.38 -456.88 9435.0 5040.6 1758.4 939.41 15.808 3.5788E+12 3.5788E+12

1064.0 1.5648E-14 8.3580E-15 5.7456E-14 1.5066E-14 8.4494E-15 1.1064E-15 15.112 8.0714 8.3311E-07 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 9

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

6.7877E-03 3.5099 1.9673 2.7962E-04 2.4774E-05 -3.6324E-05

Page 60: Willis Avenue Bridge – Pivot Pier

59

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

3.5358E+05 2.9546E+05 1.6546E+05 8.4490E+05 -6.3737E+07 1.1385E+08

STR,LBS/IN**2

3.1844E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

6.7877E-03 3.5099 1.9673 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

3.5358E+05 2.9546E+05 1.6546E+05 8.4490E+05 -6.3737E+07 1.1385E+08

STR,LBS/IN**2

3.1844E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.5099 1.9673 -1.1385E+08 -6.3737E+07 2.9547E+05 1.6547E+05 0.0000 0.0000 3.1844E+04 3.5788E+12 3.5788E+12

10.640 3.5078 1.9660 -1.1071E+08 -6.1976E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 3.0968E+04 3.5788E+12 3.5788E+12

21.280 3.5021 1.9628 -1.0756E+08 -6.0215E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 3.0092E+04 3.5788E+12 3.5788E+12

31.920 3.4930 1.9576 -1.0442E+08 -5.8453E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 2.9216E+04 3.5788E+12 3.5788E+12

42.560 3.4806 1.9507 -1.0127E+08 -5.6690E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 2.8339E+04 3.5788E+12 3.5788E+12

53.200 3.4650 1.9419 -9.8120E+07 -5.4927E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 2.7461E+04 3.5788E+12 3.5788E+12

63.840 3.4463 1.9314 -9.4971E+07 -5.3163E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 2.6584E+04 3.5788E+12 3.5788E+12

74.480 3.4246 1.9192 -9.1820E+07 -5.1398E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 2.5706E+04 3.5788E+12 3.5788E+12

85.120 3.4000 1.9053 -8.8668E+07 -4.9633E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 2.4828E+04 3.5788E+12 3.5788E+12

95.760 3.3725 1.8899 -8.5515E+07 -4.7868E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 2.3949E+04 3.5788E+12 3.5788E+12

106.40 3.3424 1.8730 -8.2361E+07 -4.6101E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 2.3070E+04 3.5788E+12 3.5788E+12

117.04 3.3097 1.8547 -7.9206E+07 -4.4335E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 2.2191E+04 3.5788E+12 3.5788E+12

127.68 3.2745 1.8349 -7.6051E+07 -4.2568E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 2.1312E+04 3.5788E+12 3.5788E+12

138.32 3.2368 1.8138 -7.2894E+07 -4.0800E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 2.0433E+04 3.5788E+12 3.5788E+12

148.96 3.1969 1.7914 -6.9737E+07 -3.9032E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 1.9553E+04 3.5788E+12 3.5788E+12

159.60 3.1547 1.7677 -6.6579E+07 -3.7263E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 1.8673E+04 3.5788E+12 3.5788E+12

170.24 3.1105 1.7429 -6.3420E+07 -3.5494E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 1.7793E+04 3.5788E+12 3.5788E+12

180.88 3.0642 1.7170 -6.0260E+07 -3.3725E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 1.6913E+04 3.5788E+12 3.5788E+12

191.52 3.0160 1.6900 -5.7100E+07 -3.1955E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 1.6032E+04 3.5788E+12 3.5788E+12

202.16 2.9661 1.6619 -5.3939E+07 -3.0185E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 1.5151E+04 3.5788E+12 3.5788E+12

212.80 2.9144 1.6330 -5.0778E+07 -2.8415E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 1.4270E+04 3.5788E+12 3.5788E+12

223.44 2.8611 1.6031 -4.7616E+07 -2.6644E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 1.3389E+04 3.5788E+12 3.5788E+12

234.08 2.8063 1.5724 -4.4453E+07 -2.4873E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 1.2508E+04 3.5788E+12 3.5788E+12

244.72 2.7501 1.5409 -4.1290E+07 -2.3102E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 1.1627E+04 3.5788E+12 3.5788E+12

255.36 2.6926 1.5086 -3.8127E+07 -2.1330E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 1.0746E+04 3.5788E+12 3.5788E+12

266.00 2.6339 1.4757 -3.4963E+07 -1.9558E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 9864.0 3.5788E+12 3.5788E+12

276.64 2.5741 1.4422 -3.1798E+07 -1.7786E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 8982.3 3.5788E+12 3.5788E+12

287.28 2.5133 1.4081 -2.8634E+07 -1.6014E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 8100.6 3.5788E+12 3.5788E+12

297.92 2.4515 1.3735 -2.5469E+07 -1.4241E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 7218.7 3.5788E+12 3.5788E+12

308.56 2.3890 1.3385 -2.2303E+07 -1.2469E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 6336.8 3.5788E+12 3.5788E+12

319.20 2.3257 1.3030 -1.9138E+07 -1.0696E+07 2.9541E+05 1.6543E+05 0.0000 0.0000 5454.8 3.5788E+12 3.5788E+12

Page 61: Willis Avenue Bridge – Pivot Pier

60

329.84 2.2619 1.2672 -1.5972E+07 -8.9232E+06 2.9541E+05 1.6543E+05 0.0000 0.0000 4572.8 3.5788E+12 3.5788E+12

340.48 2.1975 1.2312 -1.2806E+07 -7.1503E+06 2.9541E+05 1.6543E+05 0.0000 0.0000 3690.7 3.5788E+12 3.5788E+12

351.12 2.1328 1.1949 -9.6401E+06 -5.3772E+06 2.9541E+05 1.6543E+05 0.0000 0.0000 2808.5 3.5788E+12 3.5788E+12

361.76 2.0677 1.1584 -6.4739E+06 -3.6042E+06 2.9541E+05 1.6543E+05 0.0000 0.0000 1926.3 3.5788E+12 3.5788E+12

372.40 2.0025 1.1218 -3.3076E+06 -1.8310E+06 2.9535E+05 1.6540E+05 11.088 6.2121 1044.1 3.5788E+12 3.5788E+12

383.04 1.9371 1.0852 -1.4258E+05 -5.8589E+04 2.9490E+05 1.6515E+05 73.513 41.184 162.54 3.5788E+12 3.5788E+12

393.68 1.8717 1.0486 3.0141E+06 1.7092E+06 2.9367E+05 1.6446E+05 158.46 88.775 967.41 3.5788E+12 3.5788E+12

404.32 1.8064 1.0120 6.1529E+06 3.4669E+06 2.9141E+05 1.6319E+05 266.89 149.52 1841.9 3.5788E+12 3.5788E+12

414.96 1.7413 0.9755 9.2614E+06 5.2076E+06 2.8787E+05 1.6121E+05 397.35 222.60 2708.0 3.5788E+12 3.5788E+12

425.60 1.6766 0.9392 1.2325E+07 6.9231E+06 2.8282E+05 1.5838E+05 552.83 309.70 3561.5 3.5788E+12 3.5788E+12

436.24 1.6122 0.9031 1.5325E+07 8.6035E+06 2.7536E+05 1.5420E+05 849.14 475.70 4397.5 3.5788E+12 3.5788E+12

446.88 1.5482 0.8673 1.8230E+07 1.0230E+07 2.6619E+05 1.4906E+05 874.77 490.05 5206.5 3.5788E+12 3.5788E+12

457.52 1.4849 0.8318 2.1035E+07 1.1801E+07 2.5676E+05 1.4378E+05 899.30 503.79 5988.0 3.5788E+12 3.5788E+12

468.16 1.4222 0.7967 2.3738E+07 1.3314E+07 2.4707E+05 1.3835E+05 922.78 516.94 6741.0 3.5788E+12 3.5788E+12

478.80 1.3603 0.7620 2.6336E+07 1.4769E+07 2.3713E+05 1.3278E+05 945.23 529.51 7464.8 3.5788E+12 3.5788E+12

489.44 1.2992 0.7278 2.8827E+07 1.6164E+07 2.2696E+05 1.2708E+05 966.66 541.51 8158.7 3.5788E+12 3.5788E+12

500.08 1.2390 0.6941 3.1209E+07 1.7498E+07 2.1657E+05 1.2126E+05 987.05 552.93 8822.1 3.5788E+12 3.5788E+12

510.72 1.1798 0.6609 3.3478E+07 1.8768E+07 2.0597E+05 1.1532E+05 1006.4 563.77 9454.2 3.5788E+12 3.5788E+12

521.36 1.1217 0.6283 3.5633E+07 1.9975E+07 1.9516E+05 1.0927E+05 1024.7 574.03 1.0054E+04 3.5788E+12 3.5788E+12

532.00 1.0647 0.5964 3.7671E+07 2.1116E+07 1.8417E+05 1.0311E+05 1042.0 583.68 1.0622E+04 3.5788E+12 3.5788E+12

542.64 1.0089 0.5651 3.9591E+07 2.2191E+07 1.7300E+05 9.6856E+04 1058.1 592.73 1.1157E+04 3.5788E+12 3.5788E+12

553.28 0.9543 0.5346 4.1391E+07 2.3199E+07 1.6166E+05 9.0505E+04 1073.2 601.15 1.1658E+04 3.5788E+12 3.5788E+12

563.92 0.9011 0.5047 4.3069E+07 2.4138E+07 1.5017E+05 8.4068E+04 1087.1 608.95 1.2126E+04 3.5788E+12 3.5788E+12

574.56 0.8492 0.4757 4.4624E+07 2.5008E+07 1.3854E+05 7.7552E+04 1099.9 616.10 1.2559E+04 3.5788E+12 3.5788E+12

585.20 0.7987 0.4474 4.6053E+07 2.5808E+07 1.2677E+05 7.0963E+04 1111.5 622.61 1.2957E+04 3.5788E+12 3.5788E+12

595.84 0.7497 0.4199 4.7356E+07 2.6538E+07 1.1489E+05 6.4308E+04 1121.9 628.44 1.3320E+04 3.5788E+12 3.5788E+12

606.48 0.7021 0.3933 4.8531E+07 2.7196E+07 1.0291E+05 5.7595E+04 1131.1 633.59 1.3647E+04 3.5788E+12 3.5788E+12

617.12 0.6561 0.3675 4.9578E+07 2.7782E+07 9.0833E+04 5.0831E+04 1139.1 638.05 1.3939E+04 3.5788E+12 3.5788E+12

627.76 0.6117 0.3427 5.0496E+07 2.8295E+07 7.8679E+04 4.4022E+04 1145.8 641.79 1.4194E+04 3.5788E+12 3.5788E+12

638.40 0.5689 0.3187 5.1283E+07 2.8735E+07 6.6460E+04 3.7178E+04 1151.2 644.81 1.4413E+04 3.5788E+12 3.5788E+12

649.04 0.5277 0.2956 5.1939E+07 2.9102E+07 5.4191E+04 3.0306E+04 1155.3 647.10 1.4596E+04 3.5788E+12 3.5788E+12

659.68 0.4881 0.2734 5.2464E+07 2.9396E+07 4.1886E+04 2.3413E+04 1158.0 648.62 1.4742E+04 3.5788E+12 3.5788E+12

670.32 0.4502 0.2522 5.2857E+07 2.9616E+07 2.9559E+04 1.6509E+04 1159.4 649.38 1.4852E+04 3.5788E+12 3.5788E+12

680.96 0.4140 0.2319 5.3119E+07 2.9762E+07 1.7224E+04 9599.9 1159.3 649.35 1.4924E+04 3.5788E+12 3.5788E+12

691.60 0.3795 0.2125 5.3248E+07 2.9834E+07 4898.0 2695.8 1157.8 648.51 1.4960E+04 3.5788E+12 3.5788E+12

702.24 0.3466 0.1941 5.3246E+07 2.9832E+07 -7404.6 -4195.0 1154.9 646.85 1.4959E+04 3.5788E+12 3.5788E+12

712.88 0.3154 0.1767 5.3113E+07 2.9757E+07 -1.9668E+04 -1.1064E+04 1150.4 644.34 1.4922E+04 3.5788E+12 3.5788E+12

723.52 0.2859 0.1602 5.2849E+07 2.9608E+07 -3.1875E+04 -1.7901E+04 1144.4 640.97 1.4848E+04 3.5788E+12 3.5788E+12

734.16 0.2581 0.1446 5.2454E+07 2.9387E+07 -4.4010E+04 -2.4698E+04 1136.8 636.71 1.4738E+04 3.5788E+12 3.5788E+12

744.80 0.2319 0.1299 5.1931E+07 2.9093E+07 -5.6056E+04 -3.1445E+04 1127.6 631.55 1.4592E+04 3.5788E+12 3.5788E+12

755.44 0.2074 0.1162 5.1279E+07 2.8728E+07 -6.7995E+04 -3.8131E+04 1116.7 625.45 1.4410E+04 3.5788E+12 3.5788E+12

766.08 0.1845 0.1033 5.0500E+07 2.8291E+07 -7.9810E+04 -4.4748E+04 1104.1 618.40 1.4193E+04 3.5788E+12 3.5788E+12

776.72 0.1632 9.1413E-02 4.9596E+07 2.7784E+07 -9.1481E+04 -5.1285E+04 1089.8 610.37 1.3941E+04 3.5788E+12 3.5788E+12

787.36 0.1435 8.0360E-02 4.8568E+07 2.7207E+07 -1.0299E+05 -5.7731E+04 1073.7 601.33 1.3655E+04 3.5788E+12 3.5788E+12

798.00 0.1253 7.0167E-02 4.7417E+07 2.6563E+07 -1.1432E+05 -6.4075E+04 1055.7 591.24 1.3334E+04 3.5788E+12 3.5788E+12

808.64 0.1086 6.0814E-02 4.6147E+07 2.5851E+07 -1.2544E+05 -7.0307E+04 1035.8 580.09 1.2980E+04 3.5788E+12 3.5788E+12

819.28 9.3349E-02 5.2279E-02 4.4759E+07 2.5073E+07 -1.3635E+05 -7.6413E+04 1013.9 567.82 1.2593E+04 3.5788E+12 3.5788E+12

829.92 7.9527E-02 4.4537E-02 4.3255E+07 2.4230E+07 -1.4701E+05 -8.2384E+04 989.99 554.42 1.2174E+04 3.5788E+12 3.5788E+12

840.56 6.7073E-02 3.7561E-02 4.1639E+07 2.3325E+07 -1.5740E+05 -8.8205E+04 963.95 539.83 1.1723E+04 3.5788E+12 3.5788E+12

851.20 5.5935E-02 3.1324E-02 3.9914E+07 2.2358E+07 -1.7087E+05 -9.5743E+04 1566.4 877.20 1.1242E+04 3.5788E+12 3.5788E+12

861.84 4.6061E-02 2.5794E-02 3.8010E+07 2.1291E+07 -1.8720E+05 -1.0489E+05 1503.4 841.88 1.0712E+04 3.5788E+12 3.5788E+12

872.48 3.7389E-02 2.0937E-02 3.5937E+07 2.0129E+07 -2.0195E+05 -1.1315E+05 1270.1 711.20 1.0134E+04 3.5788E+12 3.5788E+12

883.12 2.9853E-02 1.6717E-02 3.3718E+07 1.8886E+07 -2.1431E+05 -1.2007E+05 1053.8 590.08 9515.9 3.5788E+12 3.5788E+12

893.76 2.3385E-02 1.3094E-02 3.1381E+07 1.7577E+07 -2.2448E+05 -1.2576E+05 856.56 479.63 8864.5 3.5788E+12 3.5788E+12

904.40 1.7909E-02 1.0028E-02 2.8946E+07 1.6212E+07 -2.3265E+05 -1.3034E+05 679.80 380.64 8185.9 3.5788E+12 3.5788E+12

915.04 1.3348E-02 7.4738E-03 2.6433E+07 1.4805E+07 -2.3906E+05 -1.3393E+05 524.45 293.64 7485.8 3.5788E+12 3.5788E+12

925.68 9.6243E-03 5.3884E-03 2.3861E+07 1.3364E+07 -2.4393E+05 -1.3665E+05 390.93 218.87 6769.1 3.5788E+12 3.5788E+12

936.32 6.6550E-03 3.7257E-03 2.1245E+07 1.1898E+07 -2.4749E+05 -1.3865E+05 279.17 156.29 6039.9 3.5788E+12 3.5788E+12

946.96 4.3577E-03 2.4394E-03 1.8597E+07 1.0415E+07 -2.4998E+05 -1.4004E+05 188.60 105.58 5301.9 3.5788E+12 3.5788E+12

Page 62: Willis Avenue Bridge – Pivot Pier

61

957.60 2.6487E-03 1.4826E-03 1.5927E+07 8.9188E+06 -2.5161E+05 -1.4096E+05 118.16 66.138 4557.9 3.5788E+12 3.5788E+12

968.24 1.4435E-03 8.0794E-04 1.3243E+07 7.4155E+06 -2.5259E+05 -1.4151E+05 66.315 37.116 3810.2 3.5788E+12 3.5788E+12

978.88 6.5729E-04 3.6783E-04 1.0552E+07 5.9079E+06 -2.5311E+05 -1.4180E+05 31.069 17.387 3060.2 3.5788E+12 3.5788E+12

989.52 2.0484E-04 1.1461E-04 7.8574E+06 4.3983E+06 -2.5333E+05 -1.4192E+05 9.9549 5.5699 2309.3 3.5788E+12 3.5788E+12

1000.2 9.4282E-07 5.2482E-07 5.1615E+06 2.8880E+06 -2.8258E+05 -1.5820E+05 5489.2 3055.5 1543.5 3.5788E+12 3.5788E+12

1010.8 -3.9675E-05 -2.2201E-05 1.8441E+06 1.0318E+06 -2.4145E+05 -1.3510E+05 -1.3220E+04 -7397.6 604.87 3.5788E+12 3.5788E+12

1021.4 -2.1959E-05 -1.2287E-05 2.3310E+04 1.3021E+04 -1.0882E+05 -6.0886E+04 -1.1712E+04 -6553.1 83.391 3.5788E+12 3.5788E+12

1032.1 -3.5051E-06 -1.9612E-06 -4.7158E+05 -2.6387E+05 -6387.8 -3573.1 -7542.1 -4220.0 194.14 3.5788E+12 3.5788E+12

1042.7 3.0922E-08 1.7303E-08 -1.1263E+05 -6.3017E+04 2.2194E+04 1.2419E+04 2169.6 1214.0 80.131 3.5788E+12 3.5788E+12

1053.4 4.1976E-09 2.3487E-09 712.11 398.49 5292.6 2961.3 1007.4 563.68 35.032 3.5788E+12 3.5788E+12

1064.0 -2.2376E-15 -1.2521E-15 1.1632E-14 2.1322E-15 3.9421E-15 1.5234E-15 -12.580 -7.0398 20.969 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 10

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

1.1247E-02 3.4596 1.9673 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

5.8588E+05 2.9117E+05 1.6544E+05 8.4490E+05 -6.3858E+07 1.1242E+08

STR,LBS/IN**2

3.1639E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

1.1247E-02 3.4596 1.9673 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

5.8588E+05 2.9117E+05 1.6544E+05 8.4490E+05 -6.3858E+07 1.1242E+08

STR,LBS/IN**2

3.1639E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.4596 1.9673 -1.1242E+08 -6.3858E+07 2.9119E+05 1.6545E+05 0.0000 0.0000 3.1639E+04 3.5788E+12 3.5788E+12

10.640 3.4575 1.9660 -1.0933E+08 -6.2097E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 3.0772E+04 3.5788E+12 3.5788E+12

21.280 3.4518 1.9628 -1.0622E+08 -6.0336E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 2.9905E+04 3.5788E+12 3.5788E+12

Page 63: Willis Avenue Bridge – Pivot Pier

62

31.920 3.4428 1.9576 -1.0312E+08 -5.8573E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 2.9038E+04 3.5788E+12 3.5788E+12

42.560 3.4306 1.9506 -1.0002E+08 -5.6809E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 2.8170E+04 3.5788E+12 3.5788E+12

53.200 3.4152 1.9418 -9.6911E+07 -5.5044E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 2.7301E+04 3.5788E+12 3.5788E+12

63.840 3.3967 1.9313 -9.3803E+07 -5.3278E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 2.6432E+04 3.5788E+12 3.5788E+12

74.480 3.3753 1.9191 -9.0694E+07 -5.1511E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 2.5563E+04 3.5788E+12 3.5788E+12

85.120 3.3510 1.9052 -8.7582E+07 -4.9743E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 2.4693E+04 3.5788E+12 3.5788E+12

95.760 3.3239 1.8898 -8.4469E+07 -4.7974E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 2.3822E+04 3.5788E+12 3.5788E+12

106.40 3.2941 1.8729 -8.1354E+07 -4.6205E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 2.2952E+04 3.5788E+12 3.5788E+12

117.04 3.2618 1.8544 -7.8238E+07 -4.4434E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 2.2080E+04 3.5788E+12 3.5788E+12

127.68 3.2270 1.8346 -7.5120E+07 -4.2663E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 2.1209E+04 3.5788E+12 3.5788E+12

138.32 3.1898 1.8135 -7.2001E+07 -4.0890E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 2.0337E+04 3.5788E+12 3.5788E+12

148.96 3.1504 1.7910 -6.8881E+07 -3.9117E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 1.9464E+04 3.5788E+12 3.5788E+12

159.60 3.1087 1.7673 -6.5759E+07 -3.7344E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 1.8591E+04 3.5788E+12 3.5788E+12

170.24 3.0650 1.7425 -6.2637E+07 -3.5569E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 1.7718E+04 3.5788E+12 3.5788E+12

180.88 3.0193 1.7165 -5.9513E+07 -3.3794E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 1.6845E+04 3.5788E+12 3.5788E+12

191.52 2.9717 1.6894 -5.6387E+07 -3.2019E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 1.5971E+04 3.5788E+12 3.5788E+12

202.16 2.9224 1.6613 -5.3261E+07 -3.0242E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 1.5097E+04 3.5788E+12 3.5788E+12

212.80 2.8713 1.6323 -5.0134E+07 -2.8466E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 1.4222E+04 3.5788E+12 3.5788E+12

223.44 2.8187 1.6023 -4.7006E+07 -2.6688E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 1.3348E+04 3.5788E+12 3.5788E+12

234.08 2.7646 1.5716 -4.3877E+07 -2.4910E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 1.2473E+04 3.5788E+12 3.5788E+12

244.72 2.7091 1.5400 -4.0747E+07 -2.3132E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 1.1598E+04 3.5788E+12 3.5788E+12

255.36 2.6523 1.5077 -3.7617E+07 -2.1353E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 1.0723E+04 3.5788E+12 3.5788E+12

266.00 2.5943 1.4747 -3.4486E+07 -1.9574E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 9847.0 3.5788E+12 3.5788E+12

276.64 2.5352 1.4411 -3.1354E+07 -1.7795E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 8971.4 3.5788E+12 3.5788E+12

287.28 2.4751 1.4070 -2.8221E+07 -1.6015E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 8095.5 3.5788E+12 3.5788E+12

297.92 2.4142 1.3723 -2.5088E+07 -1.4235E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 7219.6 3.5788E+12 3.5788E+12

308.56 2.3524 1.3372 -2.1955E+07 -1.2455E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 6343.5 3.5788E+12 3.5788E+12

319.20 2.2900 1.3017 -1.8821E+07 -1.0674E+07 2.9109E+05 1.6539E+05 0.0000 0.0000 5467.2 3.5788E+12 3.5788E+12

329.84 2.2269 1.2658 -1.5687E+07 -8.8932E+06 2.9109E+05 1.6539E+05 0.0000 0.0000 4590.9 3.5788E+12 3.5788E+12

340.48 2.1634 1.2297 -1.2552E+07 -7.1122E+06 2.9109E+05 1.6539E+05 0.0000 0.0000 3714.5 3.5788E+12 3.5788E+12

351.12 2.0994 1.1933 -9.4177E+06 -5.3311E+06 2.9109E+05 1.6539E+05 0.0000 0.0000 2838.1 3.5788E+12 3.5788E+12

361.76 2.0352 1.1568 -6.2828E+06 -3.5499E+06 2.9109E+05 1.6539E+05 0.0000 0.0000 1961.5 3.5788E+12 3.5788E+12

372.40 1.9707 1.1202 -3.1478E+06 -1.7687E+06 2.9104E+05 1.6536E+05 11.050 6.2807 1085.0 3.5788E+12 3.5788E+12

383.04 1.9062 1.0835 -1.4032E+04 1.1913E+04 2.9059E+05 1.6511E+05 72.830 41.397 211.71 3.5788E+12 3.5788E+12

393.68 1.8417 1.0468 3.1115E+06 1.7878E+06 2.8937E+05 1.6441E+05 157.08 89.284 1079.6 3.5788E+12 3.5788E+12

404.32 1.7772 1.0102 6.2192E+06 3.5536E+06 2.8712E+05 1.6314E+05 264.66 150.43 1948.5 3.5788E+12 3.5788E+12

414.96 1.7130 0.9736 9.2969E+06 5.3022E+06 2.8362E+05 1.6115E+05 394.05 223.97 2809.0 3.5788E+12 3.5788E+12

425.60 1.6490 0.9373 1.2330E+07 7.0254E+06 2.7861E+05 1.5830E+05 548.28 311.63 3657.0 3.5788E+12 3.5788E+12

436.24 1.5855 0.9012 1.5300E+07 8.7132E+06 2.7121E+05 1.5409E+05 843.40 479.37 4487.3 3.5788E+12 3.5788E+12

446.88 1.5224 0.8653 1.8175E+07 1.0347E+07 2.6210E+05 1.4891E+05 868.82 493.82 5290.9 3.5788E+12 3.5788E+12

457.52 1.4599 0.8298 2.0951E+07 1.1924E+07 2.5273E+05 1.4359E+05 893.15 507.64 6066.9 3.5788E+12 3.5788E+12

468.16 1.3981 0.7946 2.3626E+07 1.3443E+07 2.4311E+05 1.3812E+05 916.44 520.87 6814.5 3.5788E+12 3.5788E+12

478.80 1.3370 0.7599 2.6196E+07 1.4904E+07 2.3324E+05 1.3251E+05 938.69 533.52 7533.0 3.5788E+12 3.5788E+12

489.44 1.2767 0.7256 2.8660E+07 1.6303E+07 2.2314E+05 1.2677E+05 959.93 545.59 8221.6 3.5788E+12 3.5788E+12

500.08 1.2174 0.6919 3.1014E+07 1.7641E+07 2.1282E+05 1.2091E+05 980.14 557.07 8879.7 3.5788E+12 3.5788E+12

510.72 1.1590 0.6587 3.3257E+07 1.8915E+07 2.0230E+05 1.1492E+05 999.32 567.97 9506.6 3.5788E+12 3.5788E+12

521.36 1.1017 0.6261 3.5386E+07 2.0125E+07 1.9157E+05 1.0883E+05 1017.4 578.27 1.0102E+04 3.5788E+12 3.5788E+12

532.00 1.0455 0.5942 3.7400E+07 2.1269E+07 1.8066E+05 1.0263E+05 1034.5 587.96 1.0664E+04 3.5788E+12 3.5788E+12

542.64 0.9905 0.5629 3.9295E+07 2.2345E+07 1.6957E+05 9.6323E+04 1050.5 597.04 1.1194E+04 3.5788E+12 3.5788E+12

553.28 0.9367 0.5324 4.1071E+07 2.3354E+07 1.5831E+05 8.9927E+04 1065.4 605.50 1.1691E+04 3.5788E+12 3.5788E+12

563.92 0.8842 0.5025 4.2726E+07 2.4294E+07 1.4691E+05 8.3445E+04 1079.1 613.32 1.2153E+04 3.5788E+12 3.5788E+12

574.56 0.8331 0.4735 4.4257E+07 2.5164E+07 1.3536E+05 7.6882E+04 1091.8 620.49 1.2581E+04 3.5788E+12 3.5788E+12

585.20 0.7834 0.4452 4.5665E+07 2.5963E+07 1.2369E+05 7.0247E+04 1103.2 626.99 1.2974E+04 3.5788E+12 3.5788E+12

595.84 0.7351 0.4178 4.6946E+07 2.6691E+07 1.1190E+05 6.3546E+04 1113.5 632.82 1.3332E+04 3.5788E+12 3.5788E+12

606.48 0.6883 0.3912 4.8101E+07 2.7347E+07 1.0000E+05 5.6787E+04 1122.6 637.97 1.3655E+04 3.5788E+12 3.5788E+12

617.12 0.6430 0.3654 4.9127E+07 2.7930E+07 8.8019E+04 4.9976E+04 1130.4 642.41 1.3942E+04 3.5788E+12 3.5788E+12

627.76 0.5993 0.3406 5.0025E+07 2.8439E+07 7.5959E+04 4.3122E+04 1136.9 646.13 1.4192E+04 3.5788E+12 3.5788E+12

638.40 0.5572 0.3166 5.0793E+07 2.8875E+07 6.3836E+04 3.6233E+04 1142.2 649.12 1.4407E+04 3.5788E+12 3.5788E+12

649.04 0.5166 0.2936 5.1431E+07 2.9237E+07 5.1663E+04 2.9315E+04 1146.2 651.36 1.4585E+04 3.5788E+12 3.5788E+12

Page 64: Willis Avenue Bridge – Pivot Pier

63

659.68 0.4777 0.2715 5.1938E+07 2.9525E+07 3.9456E+04 2.2378E+04 1148.8 652.84 1.4727E+04 3.5788E+12 3.5788E+12

670.32 0.4405 0.2503 5.2314E+07 2.9738E+07 2.7228E+04 1.5429E+04 1150.0 653.54 1.4832E+04 3.5788E+12 3.5788E+12

680.96 0.4049 0.2301 5.2559E+07 2.9877E+07 1.4995E+04 8476.7 1149.8 653.44 1.4900E+04 3.5788E+12 3.5788E+12

691.60 0.3709 0.2108 5.2673E+07 2.9941E+07 2770.5 1529.8 1148.2 652.53 1.4931E+04 3.5788E+12 3.5788E+12

702.24 0.3387 0.1925 5.2656E+07 2.9931E+07 -9429.0 -5403.0 1145.2 650.78 1.4927E+04 3.5788E+12 3.5788E+12

712.88 0.3080 0.1751 5.2508E+07 2.9847E+07 -2.1588E+04 -1.2313E+04 1140.6 648.18 1.4885E+04 3.5788E+12 3.5788E+12

723.52 0.2791 0.1586 5.2231E+07 2.9689E+07 -3.3690E+04 -1.9190E+04 1134.5 644.71 1.4807E+04 3.5788E+12 3.5788E+12

734.16 0.2518 0.1431 5.1824E+07 2.9457E+07 -4.5720E+04 -2.6026E+04 1126.8 640.34 1.4693E+04 3.5788E+12 3.5788E+12

744.80 0.2261 0.1285 5.1288E+07 2.9152E+07 -5.7659E+04 -3.2810E+04 1117.5 635.05 1.4543E+04 3.5788E+12 3.5788E+12

755.44 0.2021 0.1148 5.0625E+07 2.8775E+07 -6.9490E+04 -3.9534E+04 1106.6 628.83 1.4358E+04 3.5788E+12 3.5788E+12

766.08 0.1797 0.1021 4.9836E+07 2.8326E+07 -8.1196E+04 -4.6186E+04 1094.0 621.64 1.4137E+04 3.5788E+12 3.5788E+12

776.72 0.1588 9.0245E-02 4.8922E+07 2.7806E+07 -9.2758E+04 -5.2756E+04 1079.6 613.45 1.3881E+04 3.5788E+12 3.5788E+12

787.36 0.1395 7.9272E-02 4.7885E+07 2.7216E+07 -1.0416E+05 -5.9234E+04 1063.4 604.25 1.3591E+04 3.5788E+12 3.5788E+12

798.00 0.1217 6.9160E-02 4.6726E+07 2.6557E+07 -1.1538E+05 -6.5608E+04 1045.3 593.99 1.3267E+04 3.5788E+12 3.5788E+12

808.64 0.1054 5.9887E-02 4.5449E+07 2.5831E+07 -1.2639E+05 -7.1867E+04 1025.4 582.66 1.2909E+04 3.5788E+12 3.5788E+12

819.28 9.0516E-02 5.1432E-02 4.4054E+07 2.5038E+07 -1.3719E+05 -7.8000E+04 1003.5 570.20 1.2519E+04 3.5788E+12 3.5788E+12

829.92 7.7031E-02 4.3769E-02 4.2546E+07 2.4180E+07 -1.4773E+05 -8.3995E+04 979.57 556.59 1.2097E+04 3.5788E+12 3.5788E+12

840.56 6.4892E-02 3.6871E-02 4.0925E+07 2.3259E+07 -1.5802E+05 -8.9838E+04 953.53 541.78 1.1644E+04 3.5788E+12 3.5788E+12

851.20 5.4047E-02 3.0708E-02 3.9196E+07 2.2276E+07 -1.7127E+05 -9.7365E+04 1536.9 873.23 1.1160E+04 3.5788E+12 3.5788E+12

861.84 4.4442E-02 2.5250E-02 3.7292E+07 2.1194E+07 -1.8716E+05 -1.0640E+05 1450.5 824.15 1.0628E+04 3.5788E+12 3.5788E+12

872.48 3.6017E-02 2.0463E-02 3.5223E+07 2.0018E+07 -2.0139E+05 -1.1448E+05 1223.5 695.11 1.0049E+04 3.5788E+12 3.5788E+12

883.12 2.8706E-02 1.6309E-02 3.3016E+07 1.8763E+07 -2.1328E+05 -1.2124E+05 1013.3 575.69 9431.6 3.5788E+12 3.5788E+12

893.76 2.2440E-02 1.2748E-02 3.0692E+07 1.7442E+07 -2.2305E+05 -1.2679E+05 821.94 466.96 8781.9 3.5788E+12 3.5788E+12

904.40 1.7144E-02 9.7396E-03 2.8276E+07 1.6068E+07 -2.3088E+05 -1.3124E+05 650.78 369.70 8106.1 3.5788E+12 3.5788E+12

915.04 1.2743E-02 7.2390E-03 2.5785E+07 1.4652E+07 -2.3701E+05 -1.3472E+05 500.66 284.41 7409.5 3.5788E+12 3.5788E+12

925.68 9.1576E-03 5.2020E-03 2.3237E+07 1.3204E+07 -2.4165E+05 -1.3735E+05 371.97 211.30 6696.9 3.5788E+12 3.5788E+12

936.32 6.3073E-03 3.5826E-03 2.0646E+07 1.1732E+07 -2.4504E+05 -1.3928E+05 264.58 150.29 5972.4 3.5788E+12 3.5788E+12

946.96 4.1100E-03 2.3344E-03 1.8025E+07 1.0242E+07 -2.4739E+05 -1.4061E+05 177.88 101.03 5239.5 3.5788E+12 3.5788E+12

957.60 2.4830E-03 1.4101E-03 1.5384E+07 8.7406E+06 -2.4893E+05 -1.4149E+05 110.76 62.905 4500.8 3.5788E+12 3.5788E+12

968.24 1.3425E-03 7.6238E-04 1.2729E+07 7.2320E+06 -2.4984E+05 -1.4201E+05 61.675 35.023 3758.5 3.5788E+12 3.5788E+12

978.88 6.0481E-04 3.4340E-04 1.0068E+07 5.7193E+06 -2.5032E+05 -1.4228E+05 28.589 16.232 3014.3 3.5788E+12 3.5788E+12

989.52 1.8556E-04 1.0534E-04 7.4032E+06 4.2046E+06 -2.5052E+05 -1.4239E+05 9.0181 5.1194 2269.1 3.5788E+12 3.5788E+12

1000.2 5.0835E-07 2.8649E-07 4.7372E+06 2.6893E+06 -2.7106E+05 -1.5397E+05 3851.0 2170.3 1499.3 3.5788E+12 3.5788E+12

1010.8 -3.4688E-05 -1.9693E-05 1.6352E+06 9.2829E+05 -2.2369E+05 -1.2699E+05 -1.2755E+04 -7241.5 608.19 3.5788E+12 3.5788E+12

1021.4 -1.8157E-05 -1.0308E-05 -2.2797E+04 -1.2958E+04 -9.6784E+04 -5.4943E+04 -1.1098E+04 -6300.6 133.80 3.5788E+12 3.5788E+12

1032.1 -2.3467E-06 -1.3322E-06 -4.2436E+05 -2.4091E+05 -2528.9 -1434.8 -6618.8 -3757.4 222.64 3.5788E+12 3.5788E+12

1042.7 3.9359E-08 2.2345E-08 -7.6616E+04 -4.3494E+04 1.9995E+04 1.1351E+04 2384.9 1354.0 102.21 3.5788E+12 3.5788E+12

1053.4 1.7801E-09 1.0105E-09 1131.7 642.48 3600.4 2043.9 696.76 395.54 58.035 3.5788E+12 3.5788E+12

1064.0 -1.0483E-14 -5.9515E-15 2.7802E-15 -5.6179E-16 9.5265E-15 6.3789E-15 -19.993 -11.350 34.746 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 11

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

2.8059E-02 3.3338 2.0109 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

1.4616E+06 2.7878E+05 1.6806E+05 8.4490E+05 -6.5493E+07 1.0866E+08

Page 65: Willis Avenue Bridge – Pivot Pier

64

STR,LBS/IN**2

3.1360E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

2.8059E-02 3.3338 2.0109 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

1.4616E+06 2.7878E+05 1.6806E+05 8.4490E+05 -6.5493E+07 1.0866E+08

STR,LBS/IN**2

3.1360E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.3338 2.0109 -1.0866E+08 -6.5493E+07 2.7883E+05 1.6809E+05 0.0000 0.0000 3.1360E+04 3.5788E+12 3.5788E+12

10.640 3.3317 2.0096 -1.0569E+08 -6.3704E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 3.0517E+04 3.5788E+12 3.5788E+12

21.280 3.3262 2.0063 -1.0272E+08 -6.1912E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 2.9674E+04 3.5788E+12 3.5788E+12

31.920 3.3175 2.0010 -9.9744E+07 -6.0118E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 2.8829E+04 3.5788E+12 3.5788E+12

42.560 3.3057 1.9938 -9.6763E+07 -5.8320E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 2.7982E+04 3.5788E+12 3.5788E+12

53.200 3.2908 1.9848 -9.3777E+07 -5.6520E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 2.7135E+04 3.5788E+12 3.5788E+12

63.840 3.2729 1.9740 -9.0787E+07 -5.4717E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 2.6286E+04 3.5788E+12 3.5788E+12

74.480 3.2521 1.9615 -8.7792E+07 -5.2912E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 2.5436E+04 3.5788E+12 3.5788E+12

85.120 3.2286 1.9472 -8.4793E+07 -5.1104E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 2.4585E+04 3.5788E+12 3.5788E+12

95.760 3.2024 1.9314 -8.1791E+07 -4.9294E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 2.3732E+04 3.5788E+12 3.5788E+12

106.40 3.1736 1.9140 -7.8785E+07 -4.7482E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 2.2879E+04 3.5788E+12 3.5788E+12

117.04 3.1423 1.8951 -7.5775E+07 -4.5667E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 2.2025E+04 3.5788E+12 3.5788E+12

127.68 3.1086 1.8748 -7.2761E+07 -4.3851E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 2.1169E+04 3.5788E+12 3.5788E+12

138.32 3.0726 1.8531 -6.9744E+07 -4.2032E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 2.0313E+04 3.5788E+12 3.5788E+12

148.96 3.0344 1.8300 -6.6724E+07 -4.0211E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 1.9456E+04 3.5788E+12 3.5788E+12

159.60 2.9941 1.8057 -6.3701E+07 -3.8389E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 1.8597E+04 3.5788E+12 3.5788E+12

170.24 2.9518 1.7802 -6.0675E+07 -3.6564E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 1.7738E+04 3.5788E+12 3.5788E+12

180.88 2.9076 1.7535 -5.7646E+07 -3.4738E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 1.6879E+04 3.5788E+12 3.5788E+12

191.52 2.8615 1.7257 -5.4615E+07 -3.2911E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 1.6018E+04 3.5788E+12 3.5788E+12

202.16 2.8137 1.6968 -5.1581E+07 -3.1082E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 1.5157E+04 3.5788E+12 3.5788E+12

212.80 2.7643 1.6670 -4.8544E+07 -2.9251E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 1.4295E+04 3.5788E+12 3.5788E+12

223.44 2.7133 1.6363 -4.5506E+07 -2.7419E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 1.3432E+04 3.5788E+12 3.5788E+12

234.08 2.6609 1.6047 -4.2465E+07 -2.5586E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 1.2569E+04 3.5788E+12 3.5788E+12

244.72 2.6072 1.5722 -3.9422E+07 -2.3752E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 1.1706E+04 3.5788E+12 3.5788E+12

255.36 2.5522 1.5391 -3.6378E+07 -2.1916E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 1.0841E+04 3.5788E+12 3.5788E+12

266.00 2.4960 1.5052 -3.3331E+07 -2.0080E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 9976.6 3.5788E+12 3.5788E+12

276.64 2.4388 1.4707 -3.0283E+07 -1.8243E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 9111.5 3.5788E+12 3.5788E+12

287.28 2.3807 1.4356 -2.7234E+07 -1.6404E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 8245.9 3.5788E+12 3.5788E+12

297.92 2.3217 1.4000 -2.4184E+07 -1.4565E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 7380.0 3.5788E+12 3.5788E+12

308.56 2.2619 1.3640 -2.1132E+07 -1.2726E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 6513.8 3.5788E+12 3.5788E+12

319.20 2.2014 1.3275 -1.8080E+07 -1.0885E+07 2.7859E+05 1.6795E+05 0.0000 0.0000 5647.3 3.5788E+12 3.5788E+12

329.84 2.1404 1.2907 -1.5026E+07 -9.0447E+06 2.7859E+05 1.6795E+05 0.0000 0.0000 4780.6 3.5788E+12 3.5788E+12

340.48 2.0789 1.2536 -1.1972E+07 -7.2035E+06 2.7859E+05 1.6795E+05 0.0000 0.0000 3913.7 3.5788E+12 3.5788E+12

351.12 2.0171 1.2163 -8.9176E+06 -5.3620E+06 2.7859E+05 1.6795E+05 0.0000 0.0000 3046.6 3.5788E+12 3.5788E+12

Page 66: Willis Avenue Bridge – Pivot Pier

65

361.76 1.9549 1.1788 -5.8625E+06 -3.5203E+06 2.7859E+05 1.6795E+05 0.0000 0.0000 2179.4 3.5788E+12 3.5788E+12

372.40 1.8926 1.1412 -2.8072E+06 -1.6784E+06 2.7853E+05 1.6791E+05 10.784 6.5030 1312.1 3.5788E+12 3.5788E+12

383.04 1.8301 1.1036 2.4702E+05 1.6287E+05 2.7810E+05 1.6765E+05 70.900 42.753 588.93 3.5788E+12 3.5788E+12

393.68 1.7677 1.0659 3.2932E+06 1.9993E+06 2.7691E+05 1.6693E+05 153.09 92.316 1453.5 3.5788E+12 3.5788E+12

404.32 1.7054 1.0283 6.3219E+06 3.8251E+06 2.7472E+05 1.6561E+05 258.11 155.64 2313.2 3.5788E+12 3.5788E+12

414.96 1.6433 0.9909 9.3211E+06 5.6332E+06 2.7130E+05 1.6355E+05 384.37 231.77 3164.6 3.5788E+12 3.5788E+12

425.60 1.5814 0.9536 1.2276E+07 7.4148E+06 2.6641E+05 1.6060E+05 534.88 322.53 4003.4 3.5788E+12 3.5788E+12

436.24 1.5200 0.9165 1.5170E+07 9.1595E+06 2.5919E+05 1.5625E+05 825.16 497.56 4824.4 3.5788E+12 3.5788E+12

446.88 1.4590 0.8798 1.7971E+07 1.0847E+07 2.5028E+05 1.5088E+05 849.96 512.52 5618.7 3.5788E+12 3.5788E+12

457.52 1.3987 0.8434 2.0673E+07 1.2477E+07 2.4112E+05 1.4535E+05 873.69 526.82 6385.4 3.5788E+12 3.5788E+12

468.16 1.3389 0.8073 2.3277E+07 1.4046E+07 2.3171E+05 1.3968E+05 896.38 540.50 7123.8 3.5788E+12 3.5788E+12

478.80 1.2799 0.7718 2.5777E+07 1.5553E+07 2.2207E+05 1.3386E+05 918.07 553.58 7833.1 3.5788E+12 3.5788E+12

489.44 1.2217 0.7367 2.8173E+07 1.6997E+07 2.1220E+05 1.2791E+05 938.74 566.04 8512.5 3.5788E+12 3.5788E+12

500.08 1.1645 0.7021 3.0460E+07 1.8377E+07 2.0211E+05 1.2183E+05 958.40 577.89 9161.4 3.5788E+12 3.5788E+12

510.72 1.1081 0.6682 3.2638E+07 1.9689E+07 1.9182E+05 1.1563E+05 977.05 589.13 9779.2 3.5788E+12 3.5788E+12

521.36 1.0528 0.6348 3.4704E+07 2.0935E+07 1.8134E+05 1.0931E+05 994.66 599.75 1.0365E+04 3.5788E+12 3.5788E+12

532.00 0.9986 0.6021 3.6656E+07 2.2111E+07 1.7068E+05 1.0288E+05 1011.2 609.73 1.0919E+04 3.5788E+12 3.5788E+12

542.64 0.9456 0.5702 3.8491E+07 2.3217E+07 1.5984E+05 9.6343E+04 1026.7 619.07 1.1439E+04 3.5788E+12 3.5788E+12

553.28 0.8938 0.5389 4.0209E+07 2.4253E+07 1.4885E+05 8.9714E+04 1041.1 627.75 1.1926E+04 3.5788E+12 3.5788E+12

563.92 0.8432 0.5084 4.1807E+07 2.5216E+07 1.3770E+05 8.2996E+04 1054.4 635.77 1.2379E+04 3.5788E+12 3.5788E+12

574.56 0.7940 0.4788 4.3283E+07 2.6106E+07 1.2643E+05 7.6196E+04 1066.6 643.11 1.2798E+04 3.5788E+12 3.5788E+12

585.20 0.7462 0.4499 4.4637E+07 2.6922E+07 1.1503E+05 6.9322E+04 1077.6 649.75 1.3182E+04 3.5788E+12 3.5788E+12

595.84 0.6997 0.4219 4.5867E+07 2.7663E+07 1.0351E+05 6.2380E+04 1087.5 655.69 1.3530E+04 3.5788E+12 3.5788E+12

606.48 0.6547 0.3948 4.6971E+07 2.8328E+07 9.1902E+04 5.5379E+04 1096.1 660.91 1.3843E+04 3.5788E+12 3.5788E+12

617.12 0.6112 0.3685 4.7950E+07 2.8918E+07 8.0204E+04 4.8326E+04 1103.6 665.39 1.4120E+04 3.5788E+12 3.5788E+12

627.76 0.5692 0.3432 4.8801E+07 2.9431E+07 6.8434E+04 4.1230E+04 1109.8 669.12 1.4362E+04 3.5788E+12 3.5788E+12

638.40 0.5288 0.3188 4.9524E+07 2.9867E+07 5.6605E+04 3.4097E+04 1114.7 672.08 1.4567E+04 3.5788E+12 3.5788E+12

649.04 0.4899 0.2954 5.0119E+07 3.0225E+07 4.4730E+04 2.6937E+04 1118.3 674.26 1.4735E+04 3.5788E+12 3.5788E+12

659.68 0.4526 0.2729 5.0585E+07 3.0506E+07 3.2824E+04 1.9758E+04 1120.6 675.64 1.4867E+04 3.5788E+12 3.5788E+12

670.32 0.4169 0.2514 5.0922E+07 3.0708E+07 2.0899E+04 1.2569E+04 1121.5 676.21 1.4962E+04 3.5788E+12 3.5788E+12

680.96 0.3828 0.2308 5.1130E+07 3.0833E+07 8972.4 5378.0 1121.1 675.94 1.5020E+04 3.5788E+12 3.5788E+12

691.60 0.3504 0.2112 5.1208E+07 3.0880E+07 -2942.7 -1805.9 1119.2 674.81 1.5042E+04 3.5788E+12 3.5788E+12

702.24 0.3195 0.1926 5.1158E+07 3.0849E+07 -1.4830E+04 -8973.3 1115.9 672.82 1.5027E+04 3.5788E+12 3.5788E+12

712.88 0.2903 0.1750 5.0978E+07 3.0741E+07 -2.6676E+04 -1.6115E+04 1111.2 669.93 1.4976E+04 3.5788E+12 3.5788E+12

723.52 0.2627 0.1584 5.0671E+07 3.0555E+07 -3.8462E+04 -2.3221E+04 1104.9 666.13 1.4888E+04 3.5788E+12 3.5788E+12

734.16 0.2367 0.1427 5.0236E+07 3.0293E+07 -5.0173E+04 -3.0282E+04 1097.0 661.39 1.4765E+04 3.5788E+12 3.5788E+12

744.80 0.2122 0.1280 4.9675E+07 2.9954E+07 -6.1793E+04 -3.7287E+04 1087.6 655.70 1.4605E+04 3.5788E+12 3.5788E+12

755.44 0.1894 0.1142 4.8989E+07 2.9540E+07 -7.3303E+04 -4.4227E+04 1076.5 649.02 1.4410E+04 3.5788E+12 3.5788E+12

766.08 0.1681 0.1013 4.8178E+07 2.9051E+07 -8.4687E+04 -5.1090E+04 1063.8 641.33 1.4179E+04 3.5788E+12 3.5788E+12

776.72 0.1483 8.9408E-02 4.7245E+07 2.8488E+07 -9.5927E+04 -5.7866E+04 1049.3 632.61 1.3914E+04 3.5788E+12 3.5788E+12

787.36 0.1300 7.8385E-02 4.6191E+07 2.7852E+07 -1.0700E+05 -6.4544E+04 1033.1 622.82 1.3614E+04 3.5788E+12 3.5788E+12

798.00 0.1132 6.8243E-02 4.5018E+07 2.7145E+07 -1.1790E+05 -7.1112E+04 1015.0 611.93 1.3281E+04 3.5788E+12 3.5788E+12

808.64 9.7797E-02 5.8959E-02 4.3728E+07 2.6366E+07 -1.2859E+05 -7.7558E+04 995.09 599.91 1.2914E+04 3.5788E+12 3.5788E+12

819.28 8.3782E-02 5.0509E-02 4.2323E+07 2.5519E+07 -1.3906E+05 -8.3870E+04 973.23 586.72 1.2515E+04 3.5788E+12 3.5788E+12

829.92 7.1106E-02 4.2867E-02 4.0806E+07 2.4604E+07 -1.4929E+05 -9.0036E+04 949.37 572.33 1.2084E+04 3.5788E+12 3.5788E+12

840.56 5.9721E-02 3.6003E-02 3.9180E+07 2.3624E+07 -1.5925E+05 -9.6042E+04 923.44 556.69 1.1622E+04 3.5788E+12 3.5788E+12

851.20 4.9576E-02 2.9886E-02 3.7448E+07 2.2579E+07 -1.7193E+05 -1.0369E+05 1460.5 880.43 1.1130E+04 3.5788E+12 3.5788E+12

861.84 4.0615E-02 2.4484E-02 3.5548E+07 2.1434E+07 -1.8675E+05 -1.1262E+05 1325.6 799.13 1.0590E+04 3.5788E+12 3.5788E+12

872.48 3.2778E-02 1.9759E-02 3.3497E+07 2.0197E+07 -1.9973E+05 -1.2044E+05 1113.4 671.20 1.0008E+04 3.5788E+12 3.5788E+12

883.12 2.6001E-02 1.5674E-02 3.1319E+07 1.8883E+07 -2.1053E+05 -1.2696E+05 917.82 553.27 9389.4 3.5788E+12 3.5788E+12

893.76 2.0215E-02 1.2185E-02 2.9035E+07 1.7506E+07 -2.1936E+05 -1.3228E+05 740.46 446.34 8740.9 3.5788E+12 3.5788E+12

904.40 1.5347E-02 9.2510E-03 2.6666E+07 1.6077E+07 -2.2639E+05 -1.3652E+05 582.57 351.16 8068.2 3.5788E+12 3.5788E+12

915.04 1.1323E-02 6.8251E-03 2.4230E+07 1.4608E+07 -2.3186E+05 -1.3981E+05 444.88 268.15 7376.5 3.5788E+12 3.5788E+12

925.68 8.0655E-03 4.8613E-03 2.1742E+07 1.3108E+07 -2.3597E+05 -1.4229E+05 327.61 197.46 6670.1 3.5788E+12 3.5788E+12

936.32 5.4956E-03 3.3122E-03 1.9217E+07 1.1585E+07 -2.3894E+05 -1.4408E+05 230.54 138.95 5953.0 3.5788E+12 3.5788E+12

946.96 3.5336E-03 2.1296E-03 1.6664E+07 1.0046E+07 -2.4098E+05 -1.4531E+05 152.93 92.168 5228.2 3.5788E+12 3.5788E+12

957.60 2.0988E-03 1.2648E-03 1.4093E+07 8.4959E+06 -2.4229E+05 -1.4610E+05 93.625 56.421 4498.3 3.5788E+12 3.5788E+12

968.24 1.1098E-03 6.6871E-04 1.1512E+07 6.9391E+06 -2.4306E+05 -1.4656E+05 50.981 30.720 3765.2 3.5788E+12 3.5788E+12

978.88 4.8488E-04 2.9214E-04 8.9233E+06 5.3785E+06 -2.4345E+05 -1.4680E+05 22.920 13.809 3030.3 3.5788E+12 3.5788E+12

Page 67: Willis Avenue Bridge – Pivot Pier

66

989.52 1.4228E-04 8.5711E-05 6.3322E+06 3.8160E+06 -2.4361E+05 -1.4689E+05 6.9149 4.1655 2294.6 3.5788E+12 3.5788E+12

1000.2 -2.2156E-09 -1.4576E-09 3.7400E+06 2.2529E+06 -2.4234E+05 -1.4606E+05 -245.85 -161.74 1498.1 3.5788E+12 3.5788E+12

1010.8 -2.3979E-05 -1.4445E-05 1.1755E+06 7.0810E+05 -1.8032E+05 -1.0863E+05 -1.1411E+04 -6873.9 710.51 3.5788E+12 3.5788E+12

1021.4 -1.0771E-05 -6.4883E-06 -9.7257E+04 -5.8588E+04 -6.9271E+04 -4.1729E+04 -9463.3 -5700.6 345.49 3.5788E+12 3.5788E+12

1032.1 -6.3955E-07 -3.8526E-07 -2.9864E+05 -1.7990E+05 3488.5 2101.5 -4213.4 -2538.1 344.23 3.5788E+12 3.5788E+12

1042.7 4.4553E-08 2.6839E-08 -2.3030E+04 -1.3873E+04 1.4100E+04 8493.7 2218.8 1336.6 208.09 3.5788E+12 3.5788E+12

1053.4 1.3319E-10 8.0231E-11 1400.0 843.35 1082.2 651.93 228.16 137.44 144.39 3.5788E+12 3.5788E+12

1064.0 -1.7584E-14 -1.0593E-14 1.2409E-16 6.7830E-17 -9.3212E-15 2.9594E-16 -24.733 -14.899 86.683 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 12

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

2.3599E-02 3.3841 2.0109 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

1.2293E+06 2.8303E+05 1.6808E+05 8.4490E+05 -6.5366E+07 1.1010E+08

STR,LBS/IN**2

3.1561E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

2.3599E-02 3.3841 2.0109 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

1.2293E+06 2.8303E+05 1.6808E+05 8.4490E+05 -6.5366E+07 1.1010E+08

STR,LBS/IN**2

3.1561E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.3841 2.0109 -1.1010E+08 -6.5366E+07 2.8307E+05 1.6810E+05 0.0000 0.0000 3.1561E+04 3.5788E+12 3.5788E+12

10.640 3.3820 2.0096 -1.0708E+08 -6.3577E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 3.0709E+04 3.5788E+12 3.5788E+12

21.280 3.3765 2.0063 -1.0407E+08 -6.1786E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 2.9857E+04 3.5788E+12 3.5788E+12

31.920 3.3677 2.0010 -1.0105E+08 -5.9992E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 2.9003E+04 3.5788E+12 3.5788E+12

42.560 3.3557 1.9939 -9.8023E+07 -5.8196E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 2.8147E+04 3.5788E+12 3.5788E+12

53.200 3.3406 1.9849 -9.4995E+07 -5.6397E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 2.7291E+04 3.5788E+12 3.5788E+12

Page 68: Willis Avenue Bridge – Pivot Pier

67

63.840 3.3225 1.9741 -9.1963E+07 -5.4597E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 2.6434E+04 3.5788E+12 3.5788E+12

74.480 3.3014 1.9616 -8.8927E+07 -5.2794E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 2.5576E+04 3.5788E+12 3.5788E+12

85.120 3.2776 1.9474 -8.5888E+07 -5.0990E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 2.4717E+04 3.5788E+12 3.5788E+12

95.760 3.2511 1.9316 -8.2846E+07 -4.9183E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 2.3856E+04 3.5788E+12 3.5788E+12

106.40 3.2219 1.9142 -7.9801E+07 -4.7374E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 2.2995E+04 3.5788E+12 3.5788E+12

117.04 3.1902 1.8954 -7.6752E+07 -4.5564E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 2.2133E+04 3.5788E+12 3.5788E+12

127.68 3.1561 1.8751 -7.3700E+07 -4.3752E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 2.1271E+04 3.5788E+12 3.5788E+12

138.32 3.1196 1.8534 -7.0646E+07 -4.1938E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 2.0407E+04 3.5788E+12 3.5788E+12

148.96 3.0809 1.8304 -6.7589E+07 -4.0122E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 1.9543E+04 3.5788E+12 3.5788E+12

159.60 3.0401 1.8061 -6.4529E+07 -3.8305E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 1.8677E+04 3.5788E+12 3.5788E+12

170.24 2.9972 1.7806 -6.1466E+07 -3.6486E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 1.7812E+04 3.5788E+12 3.5788E+12

180.88 2.9524 1.7540 -5.8401E+07 -3.4666E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 1.6945E+04 3.5788E+12 3.5788E+12

191.52 2.9058 1.7263 -5.5334E+07 -3.2845E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 1.6078E+04 3.5788E+12 3.5788E+12

202.16 2.8574 1.6975 -5.2265E+07 -3.1022E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 1.5210E+04 3.5788E+12 3.5788E+12

212.80 2.8073 1.6677 -4.9194E+07 -2.9198E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 1.4342E+04 3.5788E+12 3.5788E+12

223.44 2.7557 1.6371 -4.6121E+07 -2.7373E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 1.3473E+04 3.5788E+12 3.5788E+12

234.08 2.7026 1.6055 -4.3046E+07 -2.5547E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 1.2603E+04 3.5788E+12 3.5788E+12

244.72 2.6481 1.5732 -3.9969E+07 -2.3720E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 1.1734E+04 3.5788E+12 3.5788E+12

255.36 2.5924 1.5401 -3.6891E+07 -2.1892E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 1.0863E+04 3.5788E+12 3.5788E+12

266.00 2.5356 1.5063 -3.3811E+07 -2.0063E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 9992.6 3.5788E+12 3.5788E+12

276.64 2.4776 1.4718 -3.0731E+07 -1.8234E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 9121.5 3.5788E+12 3.5788E+12

287.28 2.4187 1.4368 -2.7648E+07 -1.6404E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 8250.1 3.5788E+12 3.5788E+12

297.92 2.3589 1.4013 -2.4565E+07 -1.4573E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 7378.4 3.5788E+12 3.5788E+12

308.56 2.2984 1.3653 -2.1481E+07 -1.2741E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 6506.4 3.5788E+12 3.5788E+12

319.20 2.2371 1.3289 -1.8396E+07 -1.0909E+07 2.8287E+05 1.6798E+05 0.0000 0.0000 5634.1 3.5788E+12 3.5788E+12

329.84 2.1753 1.2922 -1.5310E+07 -9.0766E+06 2.8287E+05 1.6798E+05 0.0000 0.0000 4761.7 3.5788E+12 3.5788E+12

340.48 2.1130 1.2552 -1.2224E+07 -7.2438E+06 2.8287E+05 1.6798E+05 0.0000 0.0000 3889.1 3.5788E+12 3.5788E+12

351.12 2.0503 1.2179 -9.1374E+06 -5.4107E+06 2.8287E+05 1.6798E+05 0.0000 0.0000 3016.4 3.5788E+12 3.5788E+12

361.76 1.9873 1.1805 -6.0502E+06 -3.5774E+06 2.8287E+05 1.6798E+05 0.0000 0.0000 2143.5 3.5788E+12 3.5788E+12

372.40 1.9241 1.1430 -2.9629E+06 -1.7440E+06 2.8281E+05 1.6794E+05 10.897 6.4732 1270.6 3.5788E+12 3.5788E+12

383.04 1.8609 1.1054 1.2336E+05 8.8750E+04 2.8237E+05 1.6768E+05 71.596 42.529 471.77 3.5788E+12 3.5788E+12

393.68 1.7976 1.0678 3.2015E+06 1.9167E+06 2.8117E+05 1.6697E+05 154.51 91.779 1341.9 3.5788E+12 3.5788E+12

404.32 1.7344 1.0303 6.2620E+06 3.7342E+06 2.7896E+05 1.6566E+05 260.41 154.68 2207.2 3.5788E+12 3.5788E+12

414.96 1.6715 0.9929 9.2928E+06 5.5340E+06 2.7551E+05 1.6361E+05 387.75 230.33 3064.1 3.5788E+12 3.5788E+12

425.60 1.6088 0.9556 1.2279E+07 7.3075E+06 2.7058E+05 1.6068E+05 539.55 320.49 3908.5 3.5788E+12 3.5788E+12

436.24 1.5465 0.9186 1.5204E+07 9.0445E+06 2.6329E+05 1.5635E+05 831.19 493.73 4735.0 3.5788E+12 3.5788E+12

446.88 1.4847 0.8819 1.8035E+07 1.0725E+07 2.5432E+05 1.5102E+05 856.21 508.59 5534.8 3.5788E+12 3.5788E+12

457.52 1.4235 0.8455 2.0767E+07 1.2348E+07 2.4509E+05 1.4554E+05 880.15 522.80 6307.0 3.5788E+12 3.5788E+12

468.16 1.3629 0.8095 2.3399E+07 1.3911E+07 2.3561E+05 1.3991E+05 903.04 536.40 7050.7 3.5788E+12 3.5788E+12

478.80 1.3030 0.7740 2.5929E+07 1.5413E+07 2.2590E+05 1.3414E+05 924.92 549.39 7765.3 3.5788E+12 3.5788E+12

489.44 1.2440 0.7389 2.8352E+07 1.6852E+07 2.1595E+05 1.2823E+05 945.79 561.79 8450.1 3.5788E+12 3.5788E+12

500.08 1.1859 0.7044 3.0667E+07 1.8227E+07 2.0579E+05 1.2219E+05 965.65 573.58 9104.2 3.5788E+12 3.5788E+12

510.72 1.1288 0.6705 3.2872E+07 1.9536E+07 1.9542E+05 1.1604E+05 984.48 584.76 9727.1 3.5788E+12 3.5788E+12

521.36 1.0726 0.6371 3.4964E+07 2.0778E+07 1.8486E+05 1.0976E+05 1002.3 595.33 1.0318E+04 3.5788E+12 3.5788E+12

532.00 1.0176 0.6045 3.6941E+07 2.1952E+07 1.7411E+05 1.0338E+05 1019.0 605.27 1.0877E+04 3.5788E+12 3.5788E+12

542.64 0.9638 0.5725 3.8801E+07 2.3056E+07 1.6319E+05 9.6891E+04 1034.7 614.57 1.1402E+04 3.5788E+12 3.5788E+12

553.28 0.9112 0.5412 4.0543E+07 2.4090E+07 1.5211E+05 9.0309E+04 1049.3 623.23 1.1894E+04 3.5788E+12 3.5788E+12

563.92 0.8599 0.5107 4.2164E+07 2.5053E+07 1.4088E+05 8.3639E+04 1062.7 631.22 1.2352E+04 3.5788E+12 3.5788E+12

574.56 0.8099 0.4810 4.3664E+07 2.5943E+07 1.2951E+05 7.6887E+04 1075.1 638.55 1.2776E+04 3.5788E+12 3.5788E+12

585.20 0.7613 0.4522 4.5040E+07 2.6760E+07 1.1802E+05 7.0060E+04 1086.2 645.19 1.3165E+04 3.5788E+12 3.5788E+12

595.84 0.7141 0.4241 4.6291E+07 2.7503E+07 1.0641E+05 6.3167E+04 1096.3 651.13 1.3518E+04 3.5788E+12 3.5788E+12

606.48 0.6684 0.3970 4.7417E+07 2.8171E+07 9.4705E+04 5.6214E+04 1105.1 656.36 1.3836E+04 3.5788E+12 3.5788E+12

617.12 0.6241 0.3707 4.8415E+07 2.8764E+07 8.2911E+04 4.9209E+04 1112.6 660.86 1.4118E+04 3.5788E+12 3.5788E+12

627.76 0.5814 0.3453 4.9286E+07 2.9281E+07 7.1043E+04 4.2160E+04 1119.0 664.61 1.4363E+04 3.5788E+12 3.5788E+12

638.40 0.5403 0.3209 5.0028E+07 2.9721E+07 5.9114E+04 3.5075E+04 1124.0 667.61 1.4573E+04 3.5788E+12 3.5788E+12

649.04 0.5008 0.2974 5.0641E+07 3.0085E+07 4.7138E+04 2.7962E+04 1127.8 669.84 1.4746E+04 3.5788E+12 3.5788E+12

659.68 0.4628 0.2749 5.1125E+07 3.0372E+07 3.5129E+04 2.0829E+04 1130.2 671.27 1.4882E+04 3.5788E+12 3.5788E+12

670.32 0.4265 0.2533 5.1478E+07 3.0581E+07 2.3101E+04 1.3686E+04 1131.3 671.90 1.4982E+04 3.5788E+12 3.5788E+12

680.96 0.3918 0.2327 5.1702E+07 3.0714E+07 1.1070E+04 6539.5 1130.9 671.70 1.5044E+04 3.5788E+12 3.5788E+12

Page 69: Willis Avenue Bridge – Pivot Pier

68

691.60 0.3587 0.2131 5.1795E+07 3.0769E+07 -951.33 -600.10 1129.2 670.66 1.5070E+04 3.5788E+12 3.5788E+12

702.24 0.3273 0.1944 5.1759E+07 3.0747E+07 -1.2946E+04 -7724.1 1126.0 668.76 1.5060E+04 3.5788E+12 3.5788E+12

712.88 0.2975 0.1767 5.1593E+07 3.0648E+07 -2.4899E+04 -1.4823E+04 1121.3 665.97 1.5013E+04 3.5788E+12 3.5788E+12

723.52 0.2694 0.1600 5.1299E+07 3.0473E+07 -3.6795E+04 -2.1888E+04 1115.1 662.28 1.4929E+04 3.5788E+12 3.5788E+12

734.16 0.2428 0.1442 5.0876E+07 3.0221E+07 -4.8616E+04 -2.8909E+04 1107.4 657.67 1.4809E+04 3.5788E+12 3.5788E+12

744.80 0.2179 0.1294 5.0326E+07 2.9894E+07 -6.0346E+04 -3.5876E+04 1098.0 652.10 1.4653E+04 3.5788E+12 3.5788E+12

755.44 0.1946 0.1156 4.9649E+07 2.9492E+07 -7.1968E+04 -4.2778E+04 1087.0 645.57 1.4461E+04 3.5788E+12 3.5788E+12

766.08 0.1728 0.1026 4.8848E+07 2.9016E+07 -8.3465E+04 -4.9606E+04 1074.3 638.03 1.4235E+04 3.5788E+12 3.5788E+12

776.72 0.1526 9.0618E-02 4.7923E+07 2.8466E+07 -9.4817E+04 -5.6348E+04 1059.9 629.47 1.3973E+04 3.5788E+12 3.5788E+12

787.36 0.1339 7.9511E-02 4.6877E+07 2.7844E+07 -1.0601E+05 -6.2993E+04 1043.7 619.86 1.3677E+04 3.5788E+12 3.5788E+12

798.00 0.1167 6.9284E-02 4.5710E+07 2.7151E+07 -1.1702E+05 -6.9531E+04 1025.7 609.15 1.3346E+04 3.5788E+12 3.5788E+12

808.64 0.1009 5.9917E-02 4.4426E+07 2.6388E+07 -1.2782E+05 -7.5949E+04 1005.8 597.33 1.2983E+04 3.5788E+12 3.5788E+12

819.28 8.6525E-02 5.1384E-02 4.3026E+07 2.5556E+07 -1.3841E+05 -8.2235E+04 983.99 584.36 1.2587E+04 3.5788E+12 3.5788E+12

829.92 7.3520E-02 4.3660E-02 4.1513E+07 2.4658E+07 -1.4875E+05 -8.8376E+04 960.14 570.18 1.2159E+04 3.5788E+12 3.5788E+12

840.56 6.1827E-02 3.6716E-02 3.9890E+07 2.3693E+07 -1.5883E+05 -9.4360E+04 934.21 554.78 1.1699E+04 3.5788E+12 3.5788E+12

851.20 5.1396E-02 3.0521E-02 3.8160E+07 2.2665E+07 -1.7172E+05 -1.0202E+05 1490.2 884.91 1.1210E+04 3.5788E+12 3.5788E+12

861.84 4.2173E-02 2.5043E-02 3.6259E+07 2.1536E+07 -1.8697E+05 -1.1108E+05 1376.5 817.39 1.0672E+04 3.5788E+12 3.5788E+12

872.48 3.4096E-02 2.0247E-02 3.4202E+07 2.0314E+07 -2.0046E+05 -1.1908E+05 1158.2 687.77 1.0090E+04 3.5788E+12 3.5788E+12

883.12 2.7102E-02 1.6093E-02 3.2012E+07 1.9013E+07 -2.1171E+05 -1.2576E+05 956.66 568.07 9470.8 3.5788E+12 3.5788E+12

893.76 2.1120E-02 1.2541E-02 2.9712E+07 1.7647E+07 -2.2091E+05 -1.3123E+05 773.59 459.35 8820.4 3.5788E+12 3.5788E+12

904.40 1.6078E-02 9.5464E-03 2.7324E+07 1.6228E+07 -2.2827E+05 -1.3560E+05 610.29 362.37 8145.0 3.5788E+12 3.5788E+12

915.04 1.1900E-02 7.0656E-03 2.4865E+07 1.4768E+07 -2.3401E+05 -1.3900E+05 467.53 277.60 7449.7 3.5788E+12 3.5788E+12

925.68 8.5087E-03 5.0519E-03 2.2353E+07 1.3275E+07 -2.3833E+05 -1.4157E+05 345.62 205.20 6739.2 3.5788E+12 3.5788E+12

936.32 5.8247E-03 3.4581E-03 1.9801E+07 1.1759E+07 -2.4147E+05 -1.4344E+05 244.34 145.06 6017.4 3.5788E+12 3.5788E+12

946.96 3.7670E-03 2.2363E-03 1.7220E+07 1.0226E+07 -2.4364E+05 -1.4472E+05 163.03 96.786 5287.5 3.5788E+12 3.5788E+12

957.60 2.2540E-03 1.3380E-03 1.4620E+07 8.6820E+06 -2.4504E+05 -1.4556E+05 100.55 59.688 4552.3 3.5788E+12 3.5788E+12

968.24 1.2036E-03 7.1439E-04 1.2009E+07 7.1306E+06 -2.4587E+05 -1.4605E+05 55.291 32.819 3813.7 3.5788E+12 3.5788E+12

978.88 5.3298E-04 3.1632E-04 9.3902E+06 5.5753E+06 -2.4630E+05 -1.4630E+05 25.194 14.952 3073.2 3.5788E+12 3.5788E+12

989.52 1.5945E-04 9.4614E-05 6.7686E+06 4.0181E+06 -2.4647E+05 -1.4641E+05 7.7489 4.5982 2331.8 3.5788E+12 3.5788E+12

1000.2 2.4430E-08 1.4262E-08 4.1459E+06 2.4601E+06 -2.5425E+05 -1.5094E+05 1453.5 848.56 1539.2 3.5788E+12 3.5788E+12

1010.8 -2.8248E-05 -1.6763E-05 1.3584E+06 8.0609E+05 -1.9825E+05 -1.1764E+05 -1.1979E+04 -7108.5 701.01 3.5788E+12 3.5788E+12

1021.4 -1.3549E-05 -8.0401E-06 -7.2864E+04 -4.3239E+04 -8.0457E+04 -4.7743E+04 -1.0162E+04 -6030.1 287.96 3.5788E+12 3.5788E+12

1032.1 -1.1549E-06 -6.8529E-07 -3.5372E+05 -2.0990E+05 1560.8 926.25 -5254.9 -3118.3 318.22 3.5788E+12 3.5788E+12

1042.7 5.0036E-08 2.9691E-08 -3.9659E+04 -2.3533E+04 1.6695E+04 9907.0 2410.1 1430.1 180.73 3.5788E+12 3.5788E+12

1053.4 3.8284E-10 2.2718E-10 1557.5 924.24 1863.7 1105.9 377.83 224.20 121.55 3.5788E+12 3.5788E+12

1064.0 -3.7518E-14 -2.2263E-14 -1.1986E-15 -3.6309E-17 5.9149E-15 2.8999E-16 -27.516 -16.328 72.906 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 13

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

1.9140E-02 3.4345 2.0109 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

9.9702E+05 2.8729E+05 1.6809E+05 8.4490E+05 -6.5241E+07 1.1153E+08

STR,LBS/IN**2

3.1764E+04

Page 70: Willis Avenue Bridge – Pivot Pier

69

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

1.9140E-02 3.4345 2.0109 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

9.9702E+05 2.8729E+05 1.6809E+05 8.4490E+05 -6.5241E+07 1.1153E+08

STR,LBS/IN**2

3.1764E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.4345 2.0109 -1.1153E+08 -6.5241E+07 2.8732E+05 1.6811E+05 0.0000 0.0000 3.1764E+04 3.5788E+12 3.5788E+12

10.640 3.4323 2.0096 -1.0847E+08 -6.3452E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 3.0903E+04 3.5788E+12 3.5788E+12

21.280 3.4267 2.0063 -1.0541E+08 -6.1661E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 3.0040E+04 3.5788E+12 3.5788E+12

31.920 3.4178 2.0010 -1.0235E+08 -5.9868E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 2.9177E+04 3.5788E+12 3.5788E+12

42.560 3.4056 1.9939 -9.9280E+07 -5.8073E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 2.8313E+04 3.5788E+12 3.5788E+12

53.200 3.3904 1.9849 -9.6210E+07 -5.6277E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 2.7449E+04 3.5788E+12 3.5788E+12

63.840 3.3720 1.9741 -9.3136E+07 -5.4478E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 2.6583E+04 3.5788E+12 3.5788E+12

74.480 3.3507 1.9616 -9.0060E+07 -5.2678E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 2.5716E+04 3.5788E+12 3.5788E+12

85.120 3.3266 1.9475 -8.6980E+07 -5.0876E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 2.4849E+04 3.5788E+12 3.5788E+12

95.760 3.2997 1.9317 -8.3898E+07 -4.9073E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 2.3981E+04 3.5788E+12 3.5788E+12

106.40 3.2702 1.9144 -8.0813E+07 -4.7268E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 2.3112E+04 3.5788E+12 3.5788E+12

117.04 3.2381 1.8956 -7.7726E+07 -4.5461E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 2.2243E+04 3.5788E+12 3.5788E+12

127.68 3.2035 1.8754 -7.4636E+07 -4.3654E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 2.1372E+04 3.5788E+12 3.5788E+12

138.32 3.1666 1.8537 -7.1544E+07 -4.1844E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 2.0501E+04 3.5788E+12 3.5788E+12

148.96 3.1274 1.8308 -6.8450E+07 -4.0034E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 1.9630E+04 3.5788E+12 3.5788E+12

159.60 3.0861 1.8065 -6.5353E+07 -3.8222E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 1.8758E+04 3.5788E+12 3.5788E+12

170.24 3.0427 1.7811 -6.2255E+07 -3.6409E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 1.7885E+04 3.5788E+12 3.5788E+12

180.88 2.9973 1.7545 -5.9154E+07 -3.4595E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 1.7012E+04 3.5788E+12 3.5788E+12

191.52 2.9500 1.7269 -5.6052E+07 -3.2780E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 1.6138E+04 3.5788E+12 3.5788E+12

202.16 2.9010 1.6982 -5.2947E+07 -3.0963E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 1.5264E+04 3.5788E+12 3.5788E+12

212.80 2.8503 1.6685 -4.9842E+07 -2.9146E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 1.4389E+04 3.5788E+12 3.5788E+12

223.44 2.7980 1.6378 -4.6734E+07 -2.7328E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 1.3514E+04 3.5788E+12 3.5788E+12

234.08 2.7443 1.6064 -4.3625E+07 -2.5509E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 1.2638E+04 3.5788E+12 3.5788E+12

244.72 2.6892 1.5741 -4.0515E+07 -2.3689E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 1.1762E+04 3.5788E+12 3.5788E+12

255.36 2.6327 1.5410 -3.7403E+07 -2.1868E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 1.0885E+04 3.5788E+12 3.5788E+12

266.00 2.5751 1.5073 -3.4291E+07 -2.0047E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 1.0009E+04 3.5788E+12 3.5788E+12

276.64 2.5165 1.4730 -3.1177E+07 -1.8225E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 9131.7 3.5788E+12 3.5788E+12

287.28 2.4568 1.4380 -2.8062E+07 -1.6402E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 8254.4 3.5788E+12 3.5788E+12

297.92 2.3962 1.4026 -2.4946E+07 -1.4579E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 7376.9 3.5788E+12 3.5788E+12

308.56 2.3349 1.3666 -2.1830E+07 -1.2756E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 6499.1 3.5788E+12 3.5788E+12

319.20 2.2728 1.3303 -1.8713E+07 -1.0932E+07 2.8715E+05 1.6801E+05 0.0000 0.0000 5621.1 3.5788E+12 3.5788E+12

329.84 2.2102 1.2937 -1.5595E+07 -9.1078E+06 2.8715E+05 1.6801E+05 0.0000 0.0000 4743.0 3.5788E+12 3.5788E+12

340.48 2.1471 1.2567 -1.2477E+07 -7.2833E+06 2.8715E+05 1.6801E+05 0.0000 0.0000 3864.7 3.5788E+12 3.5788E+12

351.12 2.0836 1.2195 -9.3581E+06 -5.4585E+06 2.8715E+05 1.6801E+05 0.0000 0.0000 2986.4 3.5788E+12 3.5788E+12

361.76 2.0198 1.1822 -6.2392E+06 -3.6336E+06 2.8715E+05 1.6801E+05 0.0000 0.0000 2107.9 3.5788E+12 3.5788E+12

372.40 1.9557 1.1447 -3.1200E+06 -1.8086E+06 2.8710E+05 1.6798E+05 10.969 6.4202 1229.4 3.5788E+12 3.5788E+12

383.04 1.8916 1.1072 -2031.1 1.5793E+04 2.8665E+05 1.6772E+05 72.288 42.309 356.53 3.5788E+12 3.5788E+12

Page 71: Willis Avenue Bridge – Pivot Pier

70

393.68 1.8275 1.0696 3.1078E+06 1.8354E+06 2.8544E+05 1.6701E+05 155.91 91.253 1230.1 3.5788E+12 3.5788E+12

404.32 1.7635 1.0322 6.1998E+06 3.6446E+06 2.8321E+05 1.6571E+05 262.68 153.75 2100.9 3.5788E+12 3.5788E+12

414.96 1.6997 0.9948 9.2620E+06 5.4362E+06 2.7973E+05 1.6367E+05 391.11 228.91 2963.4 3.5788E+12 3.5788E+12

425.60 1.6362 0.9576 1.2280E+07 7.2018E+06 2.7476E+05 1.6076E+05 544.18 318.50 3813.3 3.5788E+12 3.5788E+12

436.24 1.5730 0.9207 1.5235E+07 8.9311E+06 2.6742E+05 1.5646E+05 837.13 489.95 4645.4 3.5788E+12 3.5788E+12

446.88 1.5104 0.8840 1.8095E+07 1.0605E+07 2.5838E+05 1.5117E+05 862.36 504.71 5450.6 3.5788E+12 3.5788E+12

457.52 1.4483 0.8477 2.0857E+07 1.2221E+07 2.4908E+05 1.4573E+05 886.49 518.84 6228.2 3.5788E+12 3.5788E+12

468.16 1.3869 0.8117 2.3519E+07 1.3778E+07 2.3953E+05 1.4014E+05 909.59 532.35 6977.4 3.5788E+12 3.5788E+12

478.80 1.3262 0.7762 2.6076E+07 1.5274E+07 2.2974E+05 1.3441E+05 931.67 545.27 7697.3 3.5788E+12 3.5788E+12

489.44 1.2664 0.7412 2.8527E+07 1.6708E+07 2.1972E+05 1.2855E+05 952.73 557.60 8387.3 3.5788E+12 3.5788E+12

500.08 1.2074 0.7066 3.0869E+07 1.8078E+07 2.0949E+05 1.2256E+05 972.77 569.32 9046.7 3.5788E+12 3.5788E+12

510.72 1.1494 0.6727 3.3101E+07 1.9384E+07 1.9904E+05 1.1644E+05 991.79 580.45 9674.8 3.5788E+12 3.5788E+12

521.36 1.0925 0.6394 3.5219E+07 2.0623E+07 1.8840E+05 1.1022E+05 1009.8 590.96 1.0271E+04 3.5788E+12 3.5788E+12

532.00 1.0367 0.6067 3.7221E+07 2.1794E+07 1.7757E+05 1.0388E+05 1026.7 600.86 1.0835E+04 3.5788E+12 3.5788E+12

542.64 0.9821 0.5748 3.9106E+07 2.2897E+07 1.6656E+05 9.7438E+04 1042.5 610.13 1.1365E+04 3.5788E+12 3.5788E+12

553.28 0.9287 0.5435 4.0872E+07 2.3930E+07 1.5540E+05 9.0903E+04 1057.3 618.76 1.1862E+04 3.5788E+12 3.5788E+12

563.92 0.8766 0.5130 4.2517E+07 2.4892E+07 1.4408E+05 8.4279E+04 1070.9 626.74 1.2325E+04 3.5788E+12 3.5788E+12

574.56 0.8258 0.4833 4.4039E+07 2.5783E+07 1.3262E+05 7.7575E+04 1083.4 634.05 1.2754E+04 3.5788E+12 3.5788E+12

585.20 0.7765 0.4544 4.5438E+07 2.6601E+07 1.2104E+05 7.0795E+04 1094.7 640.68 1.3147E+04 3.5788E+12 3.5788E+12

595.84 0.7285 0.4264 4.6711E+07 2.7345E+07 1.0934E+05 6.3949E+04 1104.9 646.62 1.3505E+04 3.5788E+12 3.5788E+12

606.48 0.6821 0.3992 4.7857E+07 2.8016E+07 9.7541E+04 5.7043E+04 1113.9 651.86 1.3828E+04 3.5788E+12 3.5788E+12

617.12 0.6371 0.3729 4.8876E+07 2.8612E+07 8.5652E+04 5.0086E+04 1121.6 656.38 1.4115E+04 3.5788E+12 3.5788E+12

627.76 0.5937 0.3475 4.9766E+07 2.9132E+07 7.3687E+04 4.3084E+04 1128.1 660.16 1.4365E+04 3.5788E+12 3.5788E+12

638.40 0.5519 0.3230 5.0527E+07 2.9577E+07 6.1660E+04 3.6045E+04 1133.3 663.20 1.4579E+04 3.5788E+12 3.5788E+12

649.04 0.5117 0.2995 5.1159E+07 2.9946E+07 4.9585E+04 2.8979E+04 1137.1 665.47 1.4756E+04 3.5788E+12 3.5788E+12

659.68 0.4731 0.2769 5.1660E+07 3.0239E+07 3.7475E+04 2.1892E+04 1139.7 666.95 1.4897E+04 3.5788E+12 3.5788E+12

670.32 0.4361 0.2552 5.2030E+07 3.0455E+07 2.5345E+04 1.4794E+04 1140.9 667.64 1.5001E+04 3.5788E+12 3.5788E+12

680.96 0.4008 0.2346 5.2270E+07 3.0595E+07 1.3210E+04 7692.2 1140.7 667.51 1.5068E+04 3.5788E+12 3.5788E+12

691.60 0.3672 0.2149 5.2378E+07 3.0658E+07 1084.8 596.48 1139.0 666.55 1.5099E+04 3.5788E+12 3.5788E+12

702.24 0.3352 0.1961 5.2357E+07 3.0645E+07 -1.1016E+04 -6484.6 1135.9 664.74 1.5092E+04 3.5788E+12 3.5788E+12

712.88 0.3048 0.1784 5.2205E+07 3.0556E+07 -2.3075E+04 -1.3542E+04 1131.3 662.05 1.5049E+04 3.5788E+12 3.5788E+12

723.52 0.2761 0.1616 5.1923E+07 3.0391E+07 -3.5078E+04 -2.0566E+04 1125.2 658.47 1.4969E+04 3.5788E+12 3.5788E+12

734.16 0.2490 0.1457 5.1512E+07 3.0150E+07 -4.7008E+04 -2.7547E+04 1117.6 653.97 1.4853E+04 3.5788E+12 3.5788E+12

744.80 0.2236 0.1309 5.0974E+07 2.9834E+07 -5.8848E+04 -3.4475E+04 1108.3 648.53 1.4701E+04 3.5788E+12 3.5788E+12

755.44 0.1998 0.1169 5.0308E+07 2.9444E+07 -7.0580E+04 -4.1340E+04 1097.4 642.14 1.4514E+04 3.5788E+12 3.5788E+12

766.08 0.1776 0.1039 4.9516E+07 2.8981E+07 -8.2187E+04 -4.8133E+04 1084.7 634.75 1.4290E+04 3.5788E+12 3.5788E+12

776.72 0.1569 9.1817E-02 4.8600E+07 2.8444E+07 -9.3651E+04 -5.4841E+04 1070.4 626.35 1.4032E+04 3.5788E+12 3.5788E+12

787.36 0.1378 8.0627E-02 4.7562E+07 2.7836E+07 -1.0495E+05 -6.1454E+04 1054.3 616.90 1.3739E+04 3.5788E+12 3.5788E+12

798.00 0.1202 7.0317E-02 4.6403E+07 2.7158E+07 -1.1607E+05 -6.7961E+04 1036.3 606.38 1.3412E+04 3.5788E+12 3.5788E+12

808.64 0.1040 6.0867E-02 4.5125E+07 2.6409E+07 -1.2699E+05 -7.4351E+04 1016.4 594.75 1.3052E+04 3.5788E+12 3.5788E+12

819.28 8.9301E-02 5.2252E-02 4.3730E+07 2.5593E+07 -1.3769E+05 -8.0610E+04 994.61 581.97 1.2659E+04 3.5788E+12 3.5788E+12

829.92 7.5962E-02 4.4447E-02 4.2222E+07 2.4710E+07 -1.4815E+05 -8.6728E+04 970.77 568.02 1.2234E+04 3.5788E+12 3.5788E+12

840.56 6.3959E-02 3.7423E-02 4.0602E+07 2.3762E+07 -1.5834E+05 -9.2690E+04 944.84 552.84 1.1777E+04 3.5788E+12 3.5788E+12

851.20 5.3241E-02 3.1151E-02 3.8874E+07 2.2750E+07 -1.7145E+05 -1.0036E+05 1519.7 889.19 1.1290E+04 3.5788E+12 3.5788E+12

861.84 4.3752E-02 2.5599E-02 3.6973E+07 2.1637E+07 -1.8713E+05 -1.0954E+05 1428.0 835.53 1.0755E+04 3.5788E+12 3.5788E+12

872.48 3.5433E-02 2.0731E-02 3.4909E+07 2.0429E+07 -2.0113E+05 -1.1773E+05 1203.6 704.23 1.0173E+04 3.5788E+12 3.5788E+12

883.12 2.8219E-02 1.6510E-02 3.2708E+07 1.9141E+07 -2.1283E+05 -1.2457E+05 996.10 582.78 9553.1 3.5788E+12 3.5788E+12

893.76 2.2039E-02 1.2894E-02 3.0393E+07 1.7786E+07 -2.2242E+05 -1.3019E+05 807.26 472.29 8900.9 3.5788E+12 3.5788E+12

904.40 1.6820E-02 9.8403E-03 2.7986E+07 1.6377E+07 -2.3012E+05 -1.3469E+05 638.48 373.53 8222.7 3.5788E+12 3.5788E+12

915.04 1.2487E-02 7.3049E-03 2.5505E+07 1.4925E+07 -2.3612E+05 -1.3820E+05 490.60 287.00 7523.9 3.5788E+12 3.5788E+12

925.68 8.9603E-03 5.2417E-03 2.2969E+07 1.3440E+07 -2.4067E+05 -1.4086E+05 363.96 212.91 6809.3 3.5788E+12 3.5788E+12

936.32 6.1604E-03 3.6036E-03 2.0390E+07 1.1931E+07 -2.4398E+05 -1.4280E+05 258.42 151.17 6082.8 3.5788E+12 3.5788E+12

946.96 4.0055E-03 2.3429E-03 1.7781E+07 1.0404E+07 -2.4628E+05 -1.4414E+05 173.35 101.40 5347.9 3.5788E+12 3.5788E+12

957.60 2.4131E-03 1.4114E-03 1.5153E+07 8.8658E+06 -2.4777E+05 -1.4502E+05 107.65 62.960 4607.4 3.5788E+12 3.5788E+12

968.24 1.3000E-03 7.6028E-04 1.2511E+07 7.3199E+06 -2.4866E+05 -1.4554E+05 59.721 34.926 3863.3 3.5788E+12 3.5788E+12

978.88 5.8272E-04 3.4075E-04 9.8630E+06 5.7698E+06 -2.4913E+05 -1.4581E+05 27.545 16.107 3117.2 3.5788E+12 3.5788E+12

989.52 1.7743E-04 1.0374E-04 7.2111E+06 4.2177E+06 -2.4932E+05 -1.4592E+05 8.6230 5.0415 2370.1 3.5788E+12 3.5788E+12

1000.2 2.5564E-07 1.4831E-07 4.5581E+06 2.6650E+06 -2.6599E+05 -1.5559E+05 3126.1 1813.6 1581.4 3.5788E+12 3.5788E+12

1010.8 -3.2732E-05 -1.9138E-05 1.5510E+06 9.0679E+05 -2.1610E+05 -1.2635E+05 -1.2505E+04 -7311.3 693.86 3.5788E+12 3.5788E+12

Page 72: Willis Avenue Bridge – Pivot Pier

71

1021.4 -1.6656E-05 -9.7383E-06 -4.0508E+04 -2.3693E+04 -9.2006E+04 -5.3793E+04 -1.0821E+04 -6326.7 228.25 3.5788E+12 3.5788E+12

1032.1 -1.8620E-06 -1.0887E-06 -4.0694E+05 -2.3793E+05 -1035.7 -605.10 -6278.8 -3671.0 291.59 3.5788E+12 3.5788E+12

1042.7 5.8923E-08 3.4451E-08 -6.2556E+04 -3.6574E+04 1.9208E+04 1.1230E+04 2473.6 1446.2 155.10 3.5788E+12 3.5788E+12

1053.4 9.8851E-10 5.7795E-10 1800.2 1052.5 2939.7 1718.7 584.37 341.66 98.730 3.5788E+12 3.5788E+12

1064.0 -6.1978E-14 -3.6237E-14 2.1227E-15 -7.0224E-16 6.0218E-15 3.9222E-15 -31.802 -18.594 59.129 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 14

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

1.4680E-02 3.4848 2.0109 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

7.6472E+05 2.9156E+05 1.6812E+05 8.4490E+05 -6.5118E+07 1.1296E+08

STR,LBS/IN**2

3.1967E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

1.4680E-02 3.4848 2.0109 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

7.6472E+05 2.9156E+05 1.6812E+05 8.4490E+05 -6.5118E+07 1.1296E+08

STR,LBS/IN**2

3.1967E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.4848 2.0109 -1.1296E+08 -6.5118E+07 2.9158E+05 1.6813E+05 0.0000 0.0000 3.1967E+04 3.5788E+12 3.5788E+12

10.640 3.4826 2.0096 -1.0986E+08 -6.3329E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 3.1097E+04 3.5788E+12 3.5788E+12

21.280 3.4770 2.0063 -1.0675E+08 -6.1538E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 3.0225E+04 3.5788E+12 3.5788E+12

31.920 3.4679 2.0010 -1.0364E+08 -5.9746E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 2.9353E+04 3.5788E+12 3.5788E+12

42.560 3.4556 1.9939 -1.0053E+08 -5.7952E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 2.8480E+04 3.5788E+12 3.5788E+12

53.200 3.4401 1.9849 -9.7422E+07 -5.6157E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 2.7607E+04 3.5788E+12 3.5788E+12

63.840 3.4216 1.9742 -9.4306E+07 -5.4361E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 2.6732E+04 3.5788E+12 3.5788E+12

74.480 3.4000 1.9617 -9.1189E+07 -5.2563E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 2.5858E+04 3.5788E+12 3.5788E+12

85.120 3.3756 1.9476 -8.8069E+07 -5.0765E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 2.4982E+04 3.5788E+12 3.5788E+12

Page 73: Willis Avenue Bridge – Pivot Pier

72

95.760 3.3484 1.9319 -8.4947E+07 -4.8964E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 2.4106E+04 3.5788E+12 3.5788E+12

106.40 3.3185 1.9146 -8.1823E+07 -4.7163E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 2.3229E+04 3.5788E+12 3.5788E+12

117.04 3.2860 1.8958 -7.8697E+07 -4.5361E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 2.2352E+04 3.5788E+12 3.5788E+12

127.68 3.2510 1.8756 -7.5569E+07 -4.3557E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 2.1475E+04 3.5788E+12 3.5788E+12

138.32 3.2136 1.8540 -7.2440E+07 -4.1752E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 2.0596E+04 3.5788E+12 3.5788E+12

148.96 3.1739 1.8311 -6.9308E+07 -3.9947E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 1.9718E+04 3.5788E+12 3.5788E+12

159.60 3.1321 1.8070 -6.6175E+07 -3.8140E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 1.8838E+04 3.5788E+12 3.5788E+12

170.24 3.0881 1.7816 -6.3041E+07 -3.6332E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 1.7959E+04 3.5788E+12 3.5788E+12

180.88 3.0422 1.7551 -5.9904E+07 -3.4524E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 1.7079E+04 3.5788E+12 3.5788E+12

191.52 2.9943 1.7274 -5.6767E+07 -3.2715E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 1.6198E+04 3.5788E+12 3.5788E+12

202.16 2.9447 1.6988 -5.3628E+07 -3.0905E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 1.5317E+04 3.5788E+12 3.5788E+12

212.80 2.8934 1.6692 -5.0487E+07 -2.9094E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 1.4436E+04 3.5788E+12 3.5788E+12

223.44 2.8404 1.6386 -4.7346E+07 -2.7282E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 1.3554E+04 3.5788E+12 3.5788E+12

234.08 2.7860 1.6072 -4.4203E+07 -2.5470E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 1.2673E+04 3.5788E+12 3.5788E+12

244.72 2.7302 1.5750 -4.1059E+07 -2.3657E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 1.1790E+04 3.5788E+12 3.5788E+12

255.36 2.6731 1.5420 -3.7915E+07 -2.1844E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 1.0908E+04 3.5788E+12 3.5788E+12

266.00 2.6147 1.5084 -3.4769E+07 -2.0030E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 1.0025E+04 3.5788E+12 3.5788E+12

276.64 2.5553 1.4741 -3.1622E+07 -1.8216E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 9142.1 3.5788E+12 3.5788E+12

287.28 2.4949 1.4392 -2.8475E+07 -1.6401E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 8259.0 3.5788E+12 3.5788E+12

297.92 2.4336 1.4038 -2.5327E+07 -1.4586E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 7375.6 3.5788E+12 3.5788E+12

308.56 2.3714 1.3680 -2.2179E+07 -1.2770E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 6492.0 3.5788E+12 3.5788E+12

319.20 2.3086 1.3317 -1.9029E+07 -1.0954E+07 2.9145E+05 1.6806E+05 0.0000 0.0000 5608.3 3.5788E+12 3.5788E+12

329.84 2.2452 1.2951 -1.5880E+07 -9.1383E+06 2.9145E+05 1.6806E+05 0.0000 0.0000 4724.5 3.5788E+12 3.5788E+12

340.48 2.1812 1.2582 -1.2730E+07 -7.3220E+06 2.9145E+05 1.6806E+05 0.0000 0.0000 3840.5 3.5788E+12 3.5788E+12

351.12 2.1169 1.2211 -9.5797E+06 -5.5055E+06 2.9145E+05 1.6806E+05 0.0000 0.0000 2956.5 3.5788E+12 3.5788E+12

361.76 2.0523 1.1838 -6.4292E+06 -3.6888E+06 2.9145E+05 1.6806E+05 0.0000 0.0000 2072.4 3.5788E+12 3.5788E+12

372.40 1.9874 1.1464 -3.2785E+06 -1.8720E+06 2.9140E+05 1.6802E+05 11.010 6.3506 1188.3 3.5788E+12 3.5788E+12

383.04 1.9225 1.1089 -1.2901E+05 -5.5969E+04 2.9095E+05 1.6777E+05 72.976 42.094 304.68 3.5788E+12 3.5788E+12

393.68 1.8575 1.0715 3.0122E+06 1.7553E+06 2.8972E+05 1.6706E+05 157.31 90.736 1118.0 3.5788E+12 3.5788E+12

404.32 1.7927 1.0340 6.1356E+06 3.5563E+06 2.8748E+05 1.6576E+05 264.94 152.82 1994.5 3.5788E+12 3.5788E+12

414.96 1.7280 0.9967 9.2288E+06 5.3399E+06 2.8397E+05 1.6374E+05 394.45 227.52 2862.5 3.5788E+12 3.5788E+12

425.60 1.6636 0.9596 1.2277E+07 7.0977E+06 2.7895E+05 1.6085E+05 548.78 316.54 3717.9 3.5788E+12 3.5788E+12

436.24 1.5997 0.9227 1.5263E+07 8.8194E+06 2.7155E+05 1.5658E+05 842.97 486.23 4555.5 3.5788E+12 3.5788E+12

446.88 1.5362 0.8861 1.8153E+07 1.0486E+07 2.6245E+05 1.5133E+05 868.40 500.90 5366.2 3.5788E+12 3.5788E+12

457.52 1.4732 0.8498 2.0944E+07 1.2095E+07 2.5309E+05 1.4593E+05 892.74 514.93 6149.3 3.5788E+12 3.5788E+12

468.16 1.4110 0.8138 2.3634E+07 1.3646E+07 2.4347E+05 1.4038E+05 916.04 528.37 6903.8 3.5788E+12 3.5788E+12

478.80 1.3495 0.7784 2.6220E+07 1.5137E+07 2.3361E+05 1.3469E+05 938.31 541.21 7629.1 3.5788E+12 3.5788E+12

489.44 1.2888 0.7433 2.8698E+07 1.6566E+07 2.2352E+05 1.2887E+05 959.56 553.46 8324.3 3.5788E+12 3.5788E+12

500.08 1.2290 0.7089 3.1068E+07 1.7932E+07 2.1320E+05 1.2292E+05 979.79 565.13 8988.9 3.5788E+12 3.5788E+12

510.72 1.1702 0.6749 3.3325E+07 1.9234E+07 2.0268E+05 1.1685E+05 998.99 576.20 9622.2 3.5788E+12 3.5788E+12

521.36 1.1125 0.6416 3.5469E+07 2.0470E+07 1.9196E+05 1.1067E+05 1017.1 586.67 1.0224E+04 3.5788E+12 3.5788E+12

532.00 1.0558 0.6090 3.7497E+07 2.1639E+07 1.8105E+05 1.0438E+05 1034.2 596.52 1.0792E+04 3.5788E+12 3.5788E+12

542.64 1.0004 0.5770 3.9407E+07 2.2740E+07 1.6996E+05 9.7983E+04 1050.3 605.75 1.1328E+04 3.5788E+12 3.5788E+12

553.28 0.9462 0.5458 4.1197E+07 2.3772E+07 1.5871E+05 9.1495E+04 1065.2 614.35 1.1830E+04 3.5788E+12 3.5788E+12

563.92 0.8934 0.5153 4.2865E+07 2.4734E+07 1.4731E+05 8.4917E+04 1079.0 622.31 1.2298E+04 3.5788E+12 3.5788E+12

574.56 0.8418 0.4855 4.4410E+07 2.5624E+07 1.3576E+05 7.8259E+04 1091.6 629.61 1.2731E+04 3.5788E+12 3.5788E+12

585.20 0.7917 0.4566 4.5831E+07 2.6443E+07 1.2409E+05 7.1527E+04 1103.1 636.24 1.3130E+04 3.5788E+12 3.5788E+12

595.84 0.7430 0.4285 4.7125E+07 2.7189E+07 1.1230E+05 6.4727E+04 1113.4 642.18 1.3493E+04 3.5788E+12 3.5788E+12

606.48 0.6959 0.4013 4.8293E+07 2.7862E+07 1.0041E+05 5.7868E+04 1122.5 647.43 1.3820E+04 3.5788E+12 3.5788E+12

617.12 0.6502 0.3750 4.9332E+07 2.8461E+07 8.8427E+04 5.0957E+04 1130.4 651.96 1.4111E+04 3.5788E+12 3.5788E+12

627.76 0.6061 0.3496 5.0242E+07 2.8986E+07 7.6367E+04 4.4002E+04 1137.0 655.77 1.4366E+04 3.5788E+12 3.5788E+12

638.40 0.5636 0.3251 5.1022E+07 2.9435E+07 6.4243E+04 3.7009E+04 1142.4 658.84 1.4585E+04 3.5788E+12 3.5788E+12

649.04 0.5227 0.3015 5.1672E+07 2.9809E+07 5.2070E+04 2.9988E+04 1146.4 661.15 1.4767E+04 3.5788E+12 3.5788E+12

659.68 0.4835 0.2788 5.2190E+07 3.0108E+07 3.9861E+04 2.2947E+04 1149.0 662.69 1.4912E+04 3.5788E+12 3.5788E+12

670.32 0.4459 0.2571 5.2577E+07 3.0331E+07 2.7630E+04 1.5893E+04 1150.3 663.43 1.5021E+04 3.5788E+12 3.5788E+12

680.96 0.4099 0.2364 5.2833E+07 3.0478E+07 1.5393E+04 8835.9 1150.3 663.37 1.5092E+04 3.5788E+12 3.5788E+12

691.60 0.3757 0.2166 5.2957E+07 3.0549E+07 3164.3 1783.5 1148.7 662.49 1.5127E+04 3.5788E+12 3.5788E+12

702.24 0.3431 0.1978 5.2950E+07 3.0545E+07 -9040.4 -5255.2 1145.7 660.76 1.5124E+04 3.5788E+12 3.5788E+12

712.88 0.3121 0.1800 5.2812E+07 3.0464E+07 -2.1205E+04 -1.2271E+04 1141.2 658.17 1.5086E+04 3.5788E+12 3.5788E+12

Page 74: Willis Avenue Bridge – Pivot Pier

73

723.52 0.2829 0.1631 5.2544E+07 3.0309E+07 -3.3315E+04 -1.9254E+04 1135.2 654.69 1.5010E+04 3.5788E+12 3.5788E+12

734.16 0.2553 0.1472 5.2146E+07 3.0079E+07 -4.5352E+04 -2.6196E+04 1127.6 650.31 1.4898E+04 3.5788E+12 3.5788E+12

744.80 0.2294 0.1323 5.1619E+07 2.9775E+07 -5.7299E+04 -3.3086E+04 1118.4 645.00 1.4750E+04 3.5788E+12 3.5788E+12

755.44 0.2051 0.1183 5.0964E+07 2.9397E+07 -6.9141E+04 -3.9915E+04 1107.6 638.73 1.4566E+04 3.5788E+12 3.5788E+12

766.08 0.1824 0.1052 5.0182E+07 2.8946E+07 -8.0857E+04 -4.6672E+04 1095.0 631.49 1.4346E+04 3.5788E+12 3.5788E+12

776.72 0.1613 9.3005E-02 4.9276E+07 2.8422E+07 -9.2431E+04 -5.3346E+04 1080.7 623.24 1.4091E+04 3.5788E+12 3.5788E+12

787.36 0.1417 8.1733E-02 4.8246E+07 2.7828E+07 -1.0384E+05 -5.9928E+04 1064.7 613.96 1.3802E+04 3.5788E+12 3.5788E+12

798.00 0.1237 7.1341E-02 4.7094E+07 2.7163E+07 -1.1508E+05 -6.6405E+04 1046.7 603.61 1.3479E+04 3.5788E+12 3.5788E+12

808.64 0.1072 6.1809E-02 4.5823E+07 2.6429E+07 -1.2611E+05 -7.2766E+04 1026.9 592.17 1.3122E+04 3.5788E+12 3.5788E+12

819.28 9.2107E-02 5.3113E-02 4.4434E+07 2.5628E+07 -1.3692E+05 -7.8999E+04 1005.1 579.59 1.2732E+04 3.5788E+12 3.5788E+12

829.92 7.8433E-02 4.5228E-02 4.2930E+07 2.4761E+07 -1.4748E+05 -8.5092E+04 981.28 565.85 1.2310E+04 3.5788E+12 3.5788E+12

840.56 6.6118E-02 3.8126E-02 4.1315E+07 2.3828E+07 -1.5779E+05 -9.1033E+04 955.36 550.89 1.1856E+04 3.5788E+12 3.5788E+12

851.20 5.5110E-02 3.1777E-02 3.9590E+07 2.2833E+07 -1.7111E+05 -9.8716E+04 1549.2 893.30 1.1372E+04 3.5788E+12 3.5788E+12

861.84 4.5354E-02 2.6151E-02 3.7689E+07 2.1737E+07 -1.8723E+05 -1.0801E+05 1480.3 853.55 1.0838E+04 3.5788E+12 3.5788E+12

872.48 3.6790E-02 2.1213E-02 3.5619E+07 2.0543E+07 -2.0175E+05 -1.1638E+05 1249.7 720.58 1.0257E+04 3.5788E+12 3.5788E+12

883.12 2.9353E-02 1.6924E-02 3.3407E+07 1.9267E+07 -2.1391E+05 -1.2339E+05 1036.1 597.41 9636.2 3.5788E+12 3.5788E+12

893.76 2.2972E-02 1.3245E-02 3.1077E+07 1.7923E+07 -2.2390E+05 -1.2915E+05 841.46 485.16 8982.3 3.5788E+12 3.5788E+12

904.40 1.7575E-02 1.0133E-02 2.8651E+07 1.6523E+07 -2.3192E+05 -1.3378E+05 667.14 384.64 8301.3 3.5788E+12 3.5788E+12

915.04 1.3084E-02 7.5435E-03 2.6149E+07 1.5080E+07 -2.3821E+05 -1.3740E+05 514.08 296.38 7599.0 3.5788E+12 3.5788E+12

925.68 9.4208E-03 5.4311E-03 2.3588E+07 1.3603E+07 -2.4298E+05 -1.4015E+05 382.67 220.61 6880.2 3.5788E+12 3.5788E+12

936.32 6.5034E-03 3.7490E-03 2.0984E+07 1.2100E+07 -2.4647E+05 -1.4216E+05 272.81 157.27 6149.1 3.5788E+12 3.5788E+12

946.96 4.2497E-03 2.4497E-03 1.8347E+07 1.0580E+07 -2.4890E+05 -1.4357E+05 183.92 106.02 5409.2 3.5788E+12 3.5788E+12

957.60 2.5765E-03 1.4851E-03 1.5690E+07 9.0470E+06 -2.5049E+05 -1.4448E+05 114.93 66.247 4663.3 3.5788E+12 3.5788E+12

968.24 1.3995E-03 8.0662E-04 1.3019E+07 7.5065E+06 -2.5144E+05 -1.4503E+05 64.294 37.055 3913.7 3.5788E+12 3.5788E+12

978.88 6.3446E-04 3.6562E-04 1.0341E+07 5.9616E+06 -2.5194E+05 -1.4532E+05 29.991 17.283 3162.0 3.5788E+12 3.5788E+12

989.52 1.9649E-04 1.1322E-04 7.6588E+06 4.4146E+06 -2.5215E+05 -1.4544E+05 9.5494 5.5022 2409.2 3.5788E+12 3.5788E+12

1000.2 7.9866E-07 4.5780E-07 4.9755E+06 2.8669E+06 -2.7744E+05 -1.5994E+05 4744.2 2719.4 1624.4 3.5788E+12 3.5788E+12

1010.8 -3.7504E-05 -2.1611E-05 1.7550E+06 1.0112E+06 -2.3363E+05 -1.3462E+05 -1.2980E+04 -7479.1 689.60 3.5788E+12 3.5788E+12

1021.4 -2.0290E-05 -1.1691E-05 3917.9 2238.6 -1.0377E+05 -5.9794E+04 -1.1429E+04 -6585.2 167.42 3.5788E+12 3.5788E+12

1032.1 -2.9517E-06 -1.7007E-06 -4.5334E+05 -2.6122E+05 -4700.1 -2707.3 -7194.5 -4145.4 262.95 3.5788E+12 3.5788E+12

1042.7 4.5683E-08 2.6324E-08 -9.6108E+04 -5.5376E+04 2.1363E+04 1.2310E+04 2295.4 1322.7 132.42 3.5788E+12 3.5788E+12

1053.4 2.8256E-09 1.6281E-09 1265.5 729.21 4516.4 2602.3 871.30 502.03 75.693 3.5788E+12 3.5788E+12

1064.0 -1.5467E-14 -8.9124E-15 -2.8281E-15 2.4961E-15 -1.4138E-15 -6.7979E-15 -22.357 -12.883 45.353 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 15

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

1.0221E-02 3.5351 2.0109 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

5.3242E+05 2.9584E+05 1.6815E+05 8.4490E+05 -6.4997E+07 1.1439E+08

STR,LBS/IN**2

3.2172E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

Page 75: Willis Avenue Bridge – Pivot Pier

74

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

1.0221E-02 3.5351 2.0109 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

5.3242E+05 2.9584E+05 1.6815E+05 8.4490E+05 -6.4997E+07 1.1439E+08

STR,LBS/IN**2

3.2172E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.5351 2.0109 -1.1439E+08 -6.4997E+07 2.9586E+05 1.6816E+05 0.0000 0.0000 3.2172E+04 3.5788E+12 3.5788E+12

10.640 3.5329 2.0096 -1.1124E+08 -6.3208E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 3.1292E+04 3.5788E+12 3.5788E+12

21.280 3.5272 2.0063 -1.0809E+08 -6.1417E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 3.0411E+04 3.5788E+12 3.5788E+12

31.920 3.5181 2.0011 -1.0494E+08 -5.9626E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 2.9529E+04 3.5788E+12 3.5788E+12

42.560 3.5056 1.9939 -1.0179E+08 -5.7833E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 2.8648E+04 3.5788E+12 3.5788E+12

53.200 3.4899 1.9850 -9.8630E+07 -5.6040E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 2.7765E+04 3.5788E+12 3.5788E+12

63.840 3.4711 1.9743 -9.5473E+07 -5.4246E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 2.6883E+04 3.5788E+12 3.5788E+12

74.480 3.4493 1.9618 -9.2315E+07 -5.2450E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 2.5999E+04 3.5788E+12 3.5788E+12

85.120 3.4246 1.9477 -8.9154E+07 -5.0654E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 2.5116E+04 3.5788E+12 3.5788E+12

95.760 3.3970 1.9320 -8.5993E+07 -4.8857E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 2.4232E+04 3.5788E+12 3.5788E+12

106.40 3.3668 1.9148 -8.2830E+07 -4.7059E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 2.3347E+04 3.5788E+12 3.5788E+12

117.04 3.3339 1.8961 -7.9665E+07 -4.5261E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 2.2462E+04 3.5788E+12 3.5788E+12

127.68 3.2985 1.8759 -7.6499E+07 -4.3461E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 2.1577E+04 3.5788E+12 3.5788E+12

138.32 3.2606 1.8544 -7.3332E+07 -4.1661E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 2.0691E+04 3.5788E+12 3.5788E+12

148.96 3.2205 1.8315 -7.0164E+07 -3.9860E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 1.9806E+04 3.5788E+12 3.5788E+12

159.60 3.1781 1.8074 -6.6995E+07 -3.8059E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 1.8919E+04 3.5788E+12 3.5788E+12

170.24 3.1336 1.7821 -6.3824E+07 -3.6257E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 1.8033E+04 3.5788E+12 3.5788E+12

180.88 3.0871 1.7556 -6.0652E+07 -3.4454E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 1.7146E+04 3.5788E+12 3.5788E+12

191.52 3.0387 1.7280 -5.7479E+07 -3.2651E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 1.6259E+04 3.5788E+12 3.5788E+12

202.16 2.9884 1.6994 -5.4306E+07 -3.0847E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 1.5371E+04 3.5788E+12 3.5788E+12

212.80 2.9364 1.6699 -5.1131E+07 -2.9042E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 1.4483E+04 3.5788E+12 3.5788E+12

223.44 2.8829 1.6394 -4.7956E+07 -2.7237E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 1.3595E+04 3.5788E+12 3.5788E+12

234.08 2.8278 1.6080 -4.4779E+07 -2.5432E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 1.2707E+04 3.5788E+12 3.5788E+12

244.72 2.7712 1.5759 -4.1602E+07 -2.3626E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 1.1819E+04 3.5788E+12 3.5788E+12

255.36 2.7134 1.5430 -3.8424E+07 -2.1820E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 1.0930E+04 3.5788E+12 3.5788E+12

266.00 2.6544 1.5094 -3.5246E+07 -2.0013E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 1.0042E+04 3.5788E+12 3.5788E+12

276.64 2.5942 1.4751 -3.2067E+07 -1.8207E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 9152.7 3.5788E+12 3.5788E+12

287.28 2.5330 1.4403 -2.8888E+07 -1.6399E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 8263.6 3.5788E+12 3.5788E+12

297.92 2.4709 1.4050 -2.5708E+07 -1.4592E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 7374.4 3.5788E+12 3.5788E+12

308.56 2.4080 1.3692 -2.2527E+07 -1.2784E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 6485.1 3.5788E+12 3.5788E+12

319.20 2.3444 1.3331 -1.9346E+07 -1.0976E+07 2.9577E+05 1.6811E+05 0.0000 0.0000 5595.6 3.5788E+12 3.5788E+12

329.84 2.2802 1.2965 -1.6165E+07 -9.1682E+06 2.9577E+05 1.6811E+05 0.0000 0.0000 4706.1 3.5788E+12 3.5788E+12

340.48 2.2154 1.2597 -1.2984E+07 -7.3599E+06 2.9577E+05 1.6811E+05 0.0000 0.0000 3816.5 3.5788E+12 3.5788E+12

351.12 2.1503 1.2227 -9.8021E+06 -5.5515E+06 2.9577E+05 1.6811E+05 0.0000 0.0000 2926.8 3.5788E+12 3.5788E+12

361.76 2.0848 1.1854 -6.6202E+06 -3.7430E+06 2.9577E+05 1.6811E+05 0.0000 0.0000 2037.1 3.5788E+12 3.5788E+12

372.40 2.0191 1.1481 -3.4383E+06 -1.9345E+06 2.9571E+05 1.6807E+05 11.049 6.2823 1147.4 3.5788E+12 3.5788E+12

383.04 1.9534 1.1107 -2.5759E+05 -1.2660E+05 2.9526E+05 1.6782E+05 73.660 41.882 258.10 3.5788E+12 3.5788E+12

393.68 1.8876 1.0732 2.9148E+06 1.6765E+06 2.9402E+05 1.6712E+05 158.69 90.230 1005.8 3.5788E+12 3.5788E+12

404.32 1.8219 1.0359 6.0692E+06 3.4694E+06 2.9176E+05 1.6583E+05 267.19 151.92 1887.8 3.5788E+12 3.5788E+12

414.96 1.7564 0.9986 9.1932E+06 5.2450E+06 2.8822E+05 1.6382E+05 397.76 226.16 2761.3 3.5788E+12 3.5788E+12

Page 76: Willis Avenue Bridge – Pivot Pier

75

425.60 1.6912 0.9615 1.2272E+07 6.9950E+06 2.8316E+05 1.6094E+05 553.34 314.62 3622.2 3.5788E+12 3.5788E+12

436.24 1.6263 0.9247 1.5288E+07 8.7092E+06 2.7570E+05 1.5670E+05 848.72 482.56 4465.4 3.5788E+12 3.5788E+12

446.88 1.5620 0.8881 1.8208E+07 1.0369E+07 2.6654E+05 1.5149E+05 874.36 497.13 5281.6 3.5788E+12 3.5788E+12

457.52 1.4982 0.8518 2.1028E+07 1.1972E+07 2.5711E+05 1.4613E+05 898.90 511.08 6070.0 3.5788E+12 3.5788E+12

468.16 1.4351 0.8160 2.3746E+07 1.3517E+07 2.4742E+05 1.4062E+05 922.39 524.43 6829.9 3.5788E+12 3.5788E+12

478.80 1.3728 0.7805 2.6360E+07 1.5002E+07 2.3749E+05 1.3497E+05 944.85 537.20 7560.5 3.5788E+12 3.5788E+12

489.44 1.3113 0.7455 2.8866E+07 1.6426E+07 2.2733E+05 1.2920E+05 966.29 549.39 8261.0 3.5788E+12 3.5788E+12

500.08 1.2506 0.7111 3.1262E+07 1.7788E+07 2.1694E+05 1.2329E+05 986.70 560.99 8930.9 3.5788E+12 3.5788E+12

510.72 1.1910 0.6772 3.3546E+07 1.9086E+07 2.0634E+05 1.1726E+05 1006.1 572.01 9569.3 3.5788E+12 3.5788E+12

521.36 1.1325 0.6439 3.5715E+07 2.0319E+07 1.9554E+05 1.1112E+05 1024.4 582.42 1.0176E+04 3.5788E+12 3.5788E+12

532.00 1.0751 0.6112 3.7768E+07 2.1485E+07 1.8455E+05 1.0488E+05 1041.7 592.24 1.0750E+04 3.5788E+12 3.5788E+12

542.64 1.0188 0.5792 3.9702E+07 2.2585E+07 1.7339E+05 9.8528E+04 1057.9 601.44 1.1290E+04 3.5788E+12 3.5788E+12

553.28 0.9639 0.5480 4.1516E+07 2.3615E+07 1.6205E+05 9.2084E+04 1073.0 610.01 1.1797E+04 3.5788E+12 3.5788E+12

563.92 0.9102 0.5175 4.3208E+07 2.4577E+07 1.5057E+05 8.5553E+04 1086.9 617.94 1.2270E+04 3.5788E+12 3.5788E+12

574.56 0.8579 0.4877 4.4776E+07 2.5468E+07 1.3893E+05 7.8940E+04 1099.7 625.23 1.2708E+04 3.5788E+12 3.5788E+12

585.20 0.8070 0.4588 4.6219E+07 2.6287E+07 1.2717E+05 7.2254E+04 1111.4 631.85 1.3112E+04 3.5788E+12 3.5788E+12

595.84 0.7576 0.4307 4.7535E+07 2.7035E+07 1.1530E+05 6.5501E+04 1121.8 637.79 1.3479E+04 3.5788E+12 3.5788E+12

606.48 0.7097 0.4035 4.8723E+07 2.7710E+07 1.0331E+05 5.8688E+04 1131.1 643.05 1.3811E+04 3.5788E+12 3.5788E+12

617.12 0.6633 0.3771 4.9783E+07 2.8312E+07 9.1236E+04 5.1823E+04 1139.1 647.60 1.4108E+04 3.5788E+12 3.5788E+12

627.76 0.6185 0.3516 5.0713E+07 2.8840E+07 7.9082E+04 4.4913E+04 1145.9 651.43 1.4367E+04 3.5788E+12 3.5788E+12

638.40 0.5754 0.3271 5.1512E+07 2.9294E+07 6.6863E+04 3.7967E+04 1151.3 654.53 1.4591E+04 3.5788E+12 3.5788E+12

649.04 0.5338 0.3035 5.2180E+07 2.9673E+07 5.4593E+04 3.0991E+04 1155.5 656.88 1.4777E+04 3.5788E+12 3.5788E+12

659.68 0.4939 0.2808 5.2716E+07 2.9978E+07 4.2285E+04 2.3994E+04 1158.3 658.47 1.4927E+04 3.5788E+12 3.5788E+12

670.32 0.4556 0.2590 5.3120E+07 3.0207E+07 2.9955E+04 1.6985E+04 1159.7 659.27 1.5040E+04 3.5788E+12 3.5788E+12

680.96 0.4191 0.2382 5.3392E+07 3.0361E+07 1.7618E+04 9970.9 1159.7 659.28 1.5116E+04 3.5788E+12 3.5788E+12

691.60 0.3842 0.2184 5.3532E+07 3.0440E+07 5287.2 2961.3 1158.3 658.46 1.5155E+04 3.5788E+12 3.5788E+12

702.24 0.3510 0.1996 5.3540E+07 3.0444E+07 -7020.3 -4035.3 1155.4 656.82 1.5157E+04 3.5788E+12 3.5788E+12

712.88 0.3195 0.1817 5.3417E+07 3.0373E+07 -1.9289E+04 -1.1010E+04 1151.0 654.32 1.5122E+04 3.5788E+12 3.5788E+12

723.52 0.2897 0.1647 5.3162E+07 3.0228E+07 -3.1503E+04 -1.7953E+04 1145.1 650.94 1.5050E+04 3.5788E+12 3.5788E+12

734.16 0.2616 0.1487 5.2776E+07 3.0009E+07 -4.3646E+04 -2.4856E+04 1137.6 646.67 1.4942E+04 3.5788E+12 3.5788E+12

744.80 0.2352 0.1337 5.2261E+07 2.9715E+07 -5.5700E+04 -3.1708E+04 1128.5 641.48 1.4798E+04 3.5788E+12 3.5788E+12

755.44 0.2104 0.1196 5.1618E+07 2.9349E+07 -6.7649E+04 -3.8500E+04 1117.7 635.35 1.4618E+04 3.5788E+12 3.5788E+12

766.08 0.1872 0.1064 5.0846E+07 2.8910E+07 -7.9474E+04 -4.5222E+04 1105.2 628.24 1.4402E+04 3.5788E+12 3.5788E+12

776.72 0.1657 9.4184E-02 4.9949E+07 2.8400E+07 -9.1157E+04 -5.1863E+04 1091.0 620.15 1.4151E+04 3.5788E+12 3.5788E+12

787.36 0.1457 8.2832E-02 4.8928E+07 2.7819E+07 -1.0268E+05 -5.8413E+04 1074.9 611.02 1.3865E+04 3.5788E+12 3.5788E+12

798.00 0.1273 7.2359E-02 4.7784E+07 2.7168E+07 -1.1402E+05 -6.4859E+04 1057.0 600.85 1.3545E+04 3.5788E+12 3.5788E+12

808.64 0.1104 6.2746E-02 4.6520E+07 2.6449E+07 -1.2516E+05 -7.1192E+04 1037.2 589.59 1.3192E+04 3.5788E+12 3.5788E+12

819.28 9.4948E-02 5.3969E-02 4.5138E+07 2.5662E+07 -1.3608E+05 -7.7399E+04 1015.5 577.20 1.2805E+04 3.5788E+12 3.5788E+12

829.92 8.0937E-02 4.6004E-02 4.3639E+07 2.4810E+07 -1.4676E+05 -8.3468E+04 991.65 563.66 1.2386E+04 3.5788E+12 3.5788E+12

840.56 6.8306E-02 3.8825E-02 4.2028E+07 2.3894E+07 -1.5717E+05 -8.9387E+04 965.73 548.91 1.1935E+04 3.5788E+12 3.5788E+12

851.20 5.7005E-02 3.2401E-02 4.0307E+07 2.2915E+07 -1.7071E+05 -9.7080E+04 1578.6 897.25 1.1453E+04 3.5788E+12 3.5788E+12

861.84 4.6979E-02 2.6701E-02 3.8407E+07 2.1834E+07 -1.8726E+05 -1.0649E+05 1533.4 871.51 1.0922E+04 3.5788E+12 3.5788E+12

872.48 3.8168E-02 2.1693E-02 3.6332E+07 2.0655E+07 -2.0232E+05 -1.1505E+05 1296.5 736.89 1.0342E+04 3.5788E+12 3.5788E+12

883.12 3.0506E-02 1.7338E-02 3.4110E+07 1.9391E+07 -2.1494E+05 -1.2222E+05 1076.8 612.01 9720.1 3.5788E+12 3.5788E+12

893.76 2.3923E-02 1.3596E-02 3.1765E+07 1.8058E+07 -2.2533E+05 -1.2813E+05 876.29 498.02 9064.4 3.5788E+12 3.5788E+12

904.40 1.8345E-02 1.0426E-02 2.9321E+07 1.6668E+07 -2.3370E+05 -1.3288E+05 696.38 395.75 8380.8 3.5788E+12 3.5788E+12

915.04 1.3695E-02 7.7827E-03 2.6797E+07 1.5233E+07 -2.4027E+05 -1.3661E+05 538.06 305.77 7675.0 3.5788E+12 3.5788E+12

925.68 9.8923E-03 5.6214E-03 2.4212E+07 1.3763E+07 -2.4527E+05 -1.3946E+05 401.82 228.34 6952.0 3.5788E+12 3.5788E+12

936.32 6.8555E-03 3.8955E-03 2.1582E+07 1.2267E+07 -2.4893E+05 -1.4154E+05 287.58 163.41 6216.3 3.5788E+12 3.5788E+12

946.96 4.5014E-03 2.5577E-03 1.8918E+07 1.0753E+07 -2.5150E+05 -1.4300E+05 194.82 110.69 5471.3 3.5788E+12 3.5788E+12

957.60 2.7458E-03 1.5600E-03 1.6232E+07 9.2256E+06 -2.5319E+05 -1.4396E+05 122.49 69.590 4720.1 3.5788E+12 3.5788E+12

968.24 1.5036E-03 8.5417E-04 1.3531E+07 7.6904E+06 -2.5421E+05 -1.4454E+05 69.072 39.240 3964.9 3.5788E+12 3.5788E+12

978.88 6.8942E-04 3.9161E-04 1.0823E+07 6.1505E+06 -2.5475E+05 -1.4484E+05 32.588 18.511 3207.5 3.5788E+12 3.5788E+12

989.52 2.1766E-04 1.2361E-04 8.1110E+06 4.6085E+06 -2.5498E+05 -1.4497E+05 10.578 6.0075 2449.0 3.5788E+12 3.5788E+12

1000.2 2.4747E-06 1.4001E-06 5.3976E+06 3.0657E+06 -2.8857E+05 -1.6398E+05 6303.6 3566.2 1668.1 3.5788E+12 3.5788E+12

1010.8 -4.1964E-05 -2.3836E-05 1.9704E+06 1.1191E+06 -2.5079E+05 -1.4244E+05 -1.3404E+04 -7613.9 688.17 3.5788E+12 3.5788E+12

1021.4 -2.4071E-05 -1.3672E-05 6.0717E+04 3.4442E+04 -1.1566E+05 -6.5691E+04 -1.1996E+04 -6813.4 132.77 3.5788E+12 3.5788E+12

1032.1 -4.2569E-06 -2.4177E-06 -4.9092E+05 -2.7884E+05 -9247.3 -5250.1 -8007.1 -4547.7 231.77 3.5788E+12 3.5788E+12

1042.7 2.7086E-08 1.5386E-08 -1.3607E+05 -7.7283E+04 2.3090E+04 1.3115E+04 1928.6 1095.6 111.46 3.5788E+12 3.5788E+12

Page 77: Willis Avenue Bridge – Pivot Pier

76

1053.4 6.6322E-09 3.7668E-09 436.93 248.23 6394.4 3631.7 1209.7 687.04 52.575 3.5788E+12 3.5788E+12

1064.0 -1.0666E-15 -6.0599E-16 -5.7073E-15 -6.0775E-15 -2.7712E-15 3.1132E-16 -7.7189 -4.3854 31.576 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 16

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

5.7615E-03 3.5854 2.0109 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

3.0013E+05 3.0013E+05 1.6819E+05 8.4490E+05 -6.4878E+07 1.1581E+08

STR,LBS/IN**2

3.2377E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

5.7615E-03 3.5854 2.0109 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

3.0013E+05 3.0013E+05 1.6819E+05 8.4490E+05 -6.4878E+07 1.1581E+08

STR,LBS/IN**2

3.2377E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.5854 2.0109 -1.1581E+08 -6.4878E+07 3.0014E+05 1.6819E+05 0.0000 0.0000 3.2377E+04 3.5788E+12 3.5788E+12

10.640 3.5832 2.0096 -1.1262E+08 -6.3088E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 3.1487E+04 3.5788E+12 3.5788E+12

21.280 3.5774 2.0063 -1.0943E+08 -6.1298E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 3.0597E+04 3.5788E+12 3.5788E+12

31.920 3.5682 2.0011 -1.0623E+08 -5.9507E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 2.9706E+04 3.5788E+12 3.5788E+12

42.560 3.5556 1.9940 -1.0303E+08 -5.7716E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 2.8816E+04 3.5788E+12 3.5788E+12

53.200 3.5397 1.9850 -9.9835E+07 -5.5924E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 2.7924E+04 3.5788E+12 3.5788E+12

63.840 3.5207 1.9743 -9.6637E+07 -5.4131E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 2.7033E+04 3.5788E+12 3.5788E+12

74.480 3.4986 1.9619 -9.3437E+07 -5.2338E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 2.6141E+04 3.5788E+12 3.5788E+12

85.120 3.4736 1.9479 -9.0236E+07 -5.0545E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 2.5250E+04 3.5788E+12 3.5788E+12

95.760 3.4457 1.9322 -8.7035E+07 -4.8751E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 2.4357E+04 3.5788E+12 3.5788E+12

106.40 3.4151 1.9150 -8.3833E+07 -4.6957E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 2.3465E+04 3.5788E+12 3.5788E+12

117.04 3.3818 1.8963 -8.0630E+07 -4.5162E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 2.2573E+04 3.5788E+12 3.5788E+12

Page 78: Willis Avenue Bridge – Pivot Pier

77

127.68 3.3459 1.8762 -7.7426E+07 -4.3366E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 2.1680E+04 3.5788E+12 3.5788E+12

138.32 3.3077 1.8547 -7.4222E+07 -4.1571E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 2.0787E+04 3.5788E+12 3.5788E+12

148.96 3.2670 1.8318 -7.1017E+07 -3.9775E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 1.9894E+04 3.5788E+12 3.5788E+12

159.60 3.2241 1.8078 -6.7811E+07 -3.7978E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 1.9000E+04 3.5788E+12 3.5788E+12

170.24 3.1791 1.7825 -6.4604E+07 -3.6181E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 1.8107E+04 3.5788E+12 3.5788E+12

180.88 3.1320 1.7561 -6.1397E+07 -3.4384E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 1.7213E+04 3.5788E+12 3.5788E+12

191.52 3.0830 1.7286 -5.8190E+07 -3.2587E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 1.6319E+04 3.5788E+12 3.5788E+12

202.16 3.0321 1.7001 -5.4982E+07 -3.0789E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 1.5425E+04 3.5788E+12 3.5788E+12

212.80 2.9795 1.6705 -5.1773E+07 -2.8991E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 1.4531E+04 3.5788E+12 3.5788E+12

223.44 2.9253 1.6401 -4.8564E+07 -2.7193E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 1.3637E+04 3.5788E+12 3.5788E+12

234.08 2.8695 1.6088 -4.5354E+07 -2.5394E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 1.2742E+04 3.5788E+12 3.5788E+12

244.72 2.8123 1.5767 -4.2144E+07 -2.3595E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 1.1848E+04 3.5788E+12 3.5788E+12

255.36 2.7538 1.5439 -3.8933E+07 -2.1796E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 1.0953E+04 3.5788E+12 3.5788E+12

266.00 2.6940 1.5104 -3.5722E+07 -1.9997E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 1.0058E+04 3.5788E+12 3.5788E+12

276.64 2.6331 1.4762 -3.2511E+07 -1.8197E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 9163.4 3.5788E+12 3.5788E+12

287.28 2.5712 1.4415 -2.9300E+07 -1.6398E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 8268.5 3.5788E+12 3.5788E+12

297.92 2.5083 1.4062 -2.6088E+07 -1.4598E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 7373.5 3.5788E+12 3.5788E+12

308.56 2.4446 1.3705 -2.2876E+07 -1.2798E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 6478.4 3.5788E+12 3.5788E+12

319.20 2.3802 1.3344 -1.9663E+07 -1.0998E+07 3.0009E+05 1.6816E+05 0.0000 0.0000 5583.2 3.5788E+12 3.5788E+12

329.84 2.3152 1.2979 -1.6451E+07 -9.1975E+06 3.0009E+05 1.6816E+05 0.0000 0.0000 4688.0 3.5788E+12 3.5788E+12

340.48 2.2497 1.2612 -1.3238E+07 -7.3972E+06 3.0009E+05 1.6816E+05 0.0000 0.0000 3792.7 3.5788E+12 3.5788E+12

351.12 2.1837 1.2242 -1.0026E+07 -5.5969E+06 3.0009E+05 1.6816E+05 0.0000 0.0000 2897.5 3.5788E+12 3.5788E+12

361.76 2.1174 1.1870 -6.8127E+06 -3.7965E+06 3.0009E+05 1.6816E+05 0.0000 0.0000 2002.1 3.5788E+12 3.5788E+12

372.40 2.0509 1.1497 -3.5998E+06 -1.9961E+06 3.0003E+05 1.6813E+05 11.087 6.2152 1106.8 3.5788E+12 3.5788E+12

383.04 1.9843 1.1124 -3.8815E+05 -1.9636E+05 2.9958E+05 1.6787E+05 73.958 41.461 211.91 3.5788E+12 3.5788E+12

393.68 1.9177 1.0750 2.8152E+06 1.5987E+06 2.9833E+05 1.6718E+05 160.07 89.732 893.18 3.5788E+12 3.5788E+12

404.32 1.8511 1.0377 6.0003E+06 3.3836E+06 2.9605E+05 1.6590E+05 269.42 151.03 1780.8 3.5788E+12 3.5788E+12

414.96 1.7848 1.0005 9.1550E+06 5.1513E+06 2.9248E+05 1.6390E+05 401.05 224.82 2659.8 3.5788E+12 3.5788E+12

425.60 1.7187 0.9635 1.2264E+07 6.8935E+06 2.8738E+05 1.6104E+05 557.87 312.73 3526.2 3.5788E+12 3.5788E+12

436.24 1.6531 0.9267 1.5310E+07 8.6003E+06 2.7987E+05 1.5683E+05 854.38 478.94 4374.9 3.5788E+12 3.5788E+12

446.88 1.5879 0.8901 1.8259E+07 1.0253E+07 2.7064E+05 1.5165E+05 880.21 493.42 5196.6 3.5788E+12 3.5788E+12

457.52 1.5233 0.8539 2.1108E+07 1.1849E+07 2.6115E+05 1.4633E+05 904.95 507.28 5990.4 3.5788E+12 3.5788E+12

468.16 1.4593 0.8180 2.3855E+07 1.3388E+07 2.5139E+05 1.4086E+05 928.63 520.56 6755.7 3.5788E+12 3.5788E+12

478.80 1.3961 0.7826 2.6496E+07 1.4868E+07 2.4140E+05 1.3526E+05 951.28 533.25 7491.6 3.5788E+12 3.5788E+12

489.44 1.3338 0.7477 2.9029E+07 1.6288E+07 2.3116E+05 1.2952E+05 972.91 545.37 8197.4 3.5788E+12 3.5788E+12

500.08 1.2724 0.7132 3.1452E+07 1.7645E+07 2.2070E+05 1.2366E+05 993.51 556.91 8872.4 3.5788E+12 3.5788E+12

510.72 1.2119 0.6793 3.3762E+07 1.8939E+07 2.1003E+05 1.1768E+05 1013.1 567.87 9516.0 3.5788E+12 3.5788E+12

521.36 1.1526 0.6461 3.5957E+07 2.0169E+07 1.9915E+05 1.1158E+05 1031.6 578.24 1.0128E+04 3.5788E+12 3.5788E+12

532.00 1.0943 0.6134 3.8035E+07 2.1333E+07 1.8808E+05 1.0538E+05 1049.0 588.01 1.0706E+04 3.5788E+12 3.5788E+12

542.64 1.0373 0.5815 3.9993E+07 2.2431E+07 1.7684E+05 9.9071E+04 1065.4 597.17 1.1252E+04 3.5788E+12 3.5788E+12

553.28 0.9816 0.5502 4.1831E+07 2.3460E+07 1.6542E+05 9.2672E+04 1080.6 605.72 1.1764E+04 3.5788E+12 3.5788E+12

563.92 0.9271 0.5197 4.3546E+07 2.4421E+07 1.5385E+05 8.6186E+04 1094.7 613.63 1.2242E+04 3.5788E+12 3.5788E+12

574.56 0.8741 0.4899 4.5137E+07 2.5312E+07 1.4213E+05 7.9619E+04 1107.7 620.90 1.2685E+04 3.5788E+12 3.5788E+12

585.20 0.8224 0.4610 4.6602E+07 2.6133E+07 1.3029E+05 7.2978E+04 1119.5 627.51 1.3093E+04 3.5788E+12 3.5788E+12

595.84 0.7723 0.4329 4.7940E+07 2.6882E+07 1.1832E+05 6.6271E+04 1130.1 633.46 1.3466E+04 3.5788E+12 3.5788E+12

606.48 0.7236 0.4056 4.9149E+07 2.7559E+07 1.0625E+05 5.9503E+04 1139.5 638.72 1.3803E+04 3.5788E+12 3.5788E+12

617.12 0.6765 0.3792 5.0229E+07 2.8164E+07 9.4080E+04 5.2684E+04 1147.7 643.28 1.4104E+04 3.5788E+12 3.5788E+12

627.76 0.6311 0.3537 5.1178E+07 2.8696E+07 8.1833E+04 4.5819E+04 1154.6 647.14 1.4368E+04 3.5788E+12 3.5788E+12

638.40 0.5872 0.3291 5.1997E+07 2.9154E+07 6.9520E+04 3.8918E+04 1160.2 650.27 1.4596E+04 3.5788E+12 3.5788E+12

649.04 0.5449 0.3054 5.2683E+07 2.9538E+07 5.7154E+04 3.1987E+04 1164.4 652.66 1.4787E+04 3.5788E+12 3.5788E+12

659.68 0.5044 0.2827 5.3237E+07 2.9848E+07 4.4750E+04 2.5034E+04 1167.4 654.29 1.4941E+04 3.5788E+12 3.5788E+12

670.32 0.4655 0.2609 5.3659E+07 3.0084E+07 3.2322E+04 1.8069E+04 1168.9 655.15 1.5059E+04 3.5788E+12 3.5788E+12

680.96 0.4283 0.2401 5.3947E+07 3.0245E+07 1.9885E+04 1.1098E+04 1169.0 655.22 1.5139E+04 3.5788E+12 3.5788E+12

691.60 0.3928 0.2202 5.4103E+07 3.0332E+07 7454.2 4130.7 1167.7 654.48 1.5182E+04 3.5788E+12 3.5788E+12

702.24 0.3591 0.2012 5.4126E+07 3.0345E+07 -4954.8 -2824.2 1164.9 652.92 1.5188E+04 3.5788E+12 3.5788E+12

712.88 0.3270 0.1833 5.4017E+07 3.0283E+07 -1.7326E+04 -9758.1 1160.6 650.51 1.5158E+04 3.5788E+12 3.5788E+12

723.52 0.2967 0.1663 5.3776E+07 3.0147E+07 -2.9644E+04 -1.6662E+04 1154.8 647.23 1.5091E+04 3.5788E+12 3.5788E+12

734.16 0.2680 0.1502 5.3403E+07 2.9938E+07 -4.1891E+04 -2.3526E+04 1147.4 643.06 1.4987E+04 3.5788E+12 3.5788E+12

744.80 0.2411 0.1351 5.2901E+07 2.9656E+07 -5.4050E+04 -3.0341E+04 1138.3 637.99 1.4846E+04 3.5788E+12 3.5788E+12

Page 79: Willis Avenue Bridge – Pivot Pier

78

755.44 0.2158 0.1209 5.2269E+07 2.9301E+07 -6.6105E+04 -3.7096E+04 1127.6 631.98 1.4670E+04 3.5788E+12 3.5788E+12

766.08 0.1921 0.1077 5.1508E+07 2.8874E+07 -7.8037E+04 -4.3783E+04 1115.2 625.02 1.4458E+04 3.5788E+12 3.5788E+12

776.72 0.1701 9.5357E-02 5.0621E+07 2.8377E+07 -8.9827E+04 -5.0391E+04 1101.0 617.06 1.4211E+04 3.5788E+12 3.5788E+12

787.36 0.1498 8.3924E-02 4.9609E+07 2.7809E+07 -1.0146E+05 -5.6909E+04 1085.1 608.10 1.3929E+04 3.5788E+12 3.5788E+12

798.00 0.1309 7.3371E-02 4.8474E+07 2.7172E+07 -1.1291E+05 -6.3325E+04 1067.2 598.09 1.3612E+04 3.5788E+12 3.5788E+12

808.64 0.1136 6.3678E-02 4.7217E+07 2.6467E+07 -1.2416E+05 -6.9630E+04 1047.4 587.00 1.3262E+04 3.5788E+12 3.5788E+12

819.28 9.7826E-02 5.4822E-02 4.5841E+07 2.5696E+07 -1.3518E+05 -7.5811E+04 1025.7 574.80 1.2878E+04 3.5788E+12 3.5788E+12

829.92 8.3474E-02 4.6778E-02 4.4349E+07 2.4859E+07 -1.4597E+05 -8.1855E+04 1001.9 561.46 1.2462E+04 3.5788E+12 3.5788E+12

840.56 7.0526E-02 3.9521E-02 4.2743E+07 2.3958E+07 -1.5649E+05 -8.7752E+04 975.97 546.92 1.2014E+04 3.5788E+12 3.5788E+12

851.20 5.8929E-02 3.3022E-02 4.1026E+07 2.2996E+07 -1.7024E+05 -9.5455E+04 1608.0 901.06 1.1536E+04 3.5788E+12 3.5788E+12

861.84 4.8631E-02 2.7251E-02 3.9127E+07 2.1931E+07 -1.8724E+05 -1.0498E+05 1587.3 889.44 1.1006E+04 3.5788E+12 3.5788E+12

872.48 3.9570E-02 2.2173E-02 3.7047E+07 2.0765E+07 -2.0283E+05 -1.1372E+05 1344.1 753.19 1.0427E+04 3.5788E+12 3.5788E+12

883.12 3.1681E-02 1.7752E-02 3.4815E+07 1.9513E+07 -2.1593E+05 -1.2106E+05 1118.3 626.62 9804.8 3.5788E+12 3.5788E+12

893.76 2.4893E-02 1.3948E-02 3.2456E+07 1.8191E+07 -2.2673E+05 -1.2711E+05 911.80 510.90 9147.3 3.5788E+12 3.5788E+12

904.40 1.9132E-02 1.0720E-02 2.9994E+07 1.6811E+07 -2.3545E+05 -1.3199E+05 726.23 406.91 8461.0 3.5788E+12 3.5788E+12

915.04 1.4320E-02 8.0230E-03 2.7449E+07 1.5384E+07 -2.4230E+05 -1.3584E+05 562.61 315.22 7751.8 3.5788E+12 3.5788E+12

925.68 1.0376E-02 5.8131E-03 2.4840E+07 1.3921E+07 -2.4754E+05 -1.3877E+05 421.46 236.12 7024.7 3.5788E+12 3.5788E+12

936.32 7.2179E-03 4.0436E-03 2.2183E+07 1.2432E+07 -2.5139E+05 -1.4093E+05 302.78 169.63 6284.2 3.5788E+12 3.5788E+12

946.96 4.7616E-03 2.6674E-03 1.9492E+07 1.0923E+07 -2.5410E+05 -1.4244E+05 206.08 115.44 5534.1 3.5788E+12 3.5788E+12

957.60 2.9219E-03 1.6367E-03 1.6777E+07 9.4015E+06 -2.5589E+05 -1.4345E+05 130.34 73.010 4777.5 3.5788E+12 3.5788E+12

968.24 1.6129E-03 9.0338E-04 1.4048E+07 7.8713E+06 -2.5698E+05 -1.4406E+05 74.097 41.500 4016.8 3.5788E+12 3.5788E+12

978.88 7.4835E-04 4.1908E-04 1.1310E+07 6.3364E+06 -2.5756E+05 -1.4438E+05 35.374 19.810 3253.6 3.5788E+12 3.5788E+12

989.52 2.4153E-04 1.3523E-04 8.5673E+06 4.7991E+06 -2.5781E+05 -1.4452E+05 11.738 6.5722 2489.3 3.5788E+12 3.5788E+12

1000.2 5.7263E-06 3.1965E-06 5.8236E+06 3.2611E+06 -2.9928E+05 -1.6767E+05 7783.6 4344.9 1712.2 3.5788E+12 3.5788E+12

1010.8 -4.5854E-05 -2.5681E-05 2.1987E+06 1.2311E+06 -2.6747E+05 -1.4978E+05 -1.3763E+04 -7708.1 689.99 3.5788E+12 3.5788E+12

1021.4 -2.7881E-05 -1.5613E-05 1.3191E+05 7.3789E+04 -1.2769E+05 -7.1497E+04 -1.2512E+04 -7006.5 102.02 3.5788E+12 3.5788E+12

1032.1 -5.7353E-06 -3.2115E-06 -5.1845E+05 -2.9035E+05 -1.4729E+04 -8243.9 -8720.9 -4883.3 197.73 3.5788E+12 3.5788E+12

1042.7 1.0049E-08 5.6294E-09 -1.8152E+05 -1.0164E+05 2.4339E+04 1.3630E+04 1377.3 771.57 91.961 3.5788E+12 3.5788E+12

1053.4 1.3186E-08 7.3837E-09 -516.02 -288.87 8530.1 4776.5 1594.3 892.73 29.711 3.5788E+12 3.5788E+12

1064.0 6.0957E-15 3.4124E-15 1.0214E-15 -4.3411E-16 -2.3447E-15 2.2189E-17 9.1161 5.1033 17.799 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 17

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

1.3021E-03 3.6358 2.0109 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

6.7830E+04 3.0443E+05 1.6823E+05 8.4490E+05 -6.4760E+07 1.1724E+08

STR,LBS/IN**2

3.2583E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

Page 80: Willis Avenue Bridge – Pivot Pier

79

1.3021E-03 3.6358 2.0109 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

6.7830E+04 3.0443E+05 1.6823E+05 8.4490E+05 -6.4760E+07 1.1724E+08

STR,LBS/IN**2

3.2583E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.6358 2.0109 -1.1724E+08 -6.4760E+07 3.0444E+05 1.6823E+05 0.0000 0.0000 3.2583E+04 3.5788E+12 3.5788E+12

10.640 3.6335 2.0096 -1.1400E+08 -6.2970E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 3.1683E+04 3.5788E+12 3.5788E+12

21.280 3.6277 2.0063 -1.1076E+08 -6.1180E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 3.0784E+04 3.5788E+12 3.5788E+12

31.920 3.6183 2.0011 -1.0752E+08 -5.9390E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 2.9884E+04 3.5788E+12 3.5788E+12

42.560 3.6056 1.9940 -1.0428E+08 -5.7600E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 2.8984E+04 3.5788E+12 3.5788E+12

53.200 3.5895 1.9851 -1.0104E+08 -5.5809E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 2.8084E+04 3.5788E+12 3.5788E+12

63.840 3.5703 1.9744 -9.7797E+07 -5.4019E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 2.7184E+04 3.5788E+12 3.5788E+12

74.480 3.5479 1.9620 -9.4556E+07 -5.2228E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 2.6284E+04 3.5788E+12 3.5788E+12

85.120 3.5226 1.9480 -9.1315E+07 -5.0437E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 2.5384E+04 3.5788E+12 3.5788E+12

95.760 3.4944 1.9323 -8.8074E+07 -4.8646E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 2.4484E+04 3.5788E+12 3.5788E+12

106.40 3.4634 1.9152 -8.4833E+07 -4.6855E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 2.3583E+04 3.5788E+12 3.5788E+12

117.04 3.4297 1.8965 -8.1592E+07 -4.5064E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 2.2683E+04 3.5788E+12 3.5788E+12

127.68 3.3934 1.8764 -7.8350E+07 -4.3273E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 2.1783E+04 3.5788E+12 3.5788E+12

138.32 3.3547 1.8550 -7.5109E+07 -4.1481E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 2.0883E+04 3.5788E+12 3.5788E+12

148.96 3.3136 1.8322 -7.1867E+07 -3.9690E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 1.9982E+04 3.5788E+12 3.5788E+12

159.60 3.2702 1.8082 -6.8625E+07 -3.7899E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 1.9082E+04 3.5788E+12 3.5788E+12

170.24 3.2246 1.7830 -6.5383E+07 -3.6107E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 1.8181E+04 3.5788E+12 3.5788E+12

180.88 3.1770 1.7566 -6.2140E+07 -3.4315E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 1.7281E+04 3.5788E+12 3.5788E+12

191.52 3.1273 1.7291 -5.8898E+07 -3.2524E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 1.6380E+04 3.5788E+12 3.5788E+12

202.16 3.0759 1.7007 -5.5655E+07 -3.0732E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 1.5479E+04 3.5788E+12 3.5788E+12

212.80 3.0227 1.6712 -5.2413E+07 -2.8940E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 1.4579E+04 3.5788E+12 3.5788E+12

223.44 2.9678 1.6409 -4.9170E+07 -2.7148E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 1.3678E+04 3.5788E+12 3.5788E+12

234.08 2.9113 1.6096 -4.5927E+07 -2.5356E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 1.2777E+04 3.5788E+12 3.5788E+12

244.72 2.8534 1.5776 -4.2684E+07 -2.3564E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 1.1877E+04 3.5788E+12 3.5788E+12

255.36 2.7942 1.5448 -3.9441E+07 -2.1772E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 1.0976E+04 3.5788E+12 3.5788E+12

266.00 2.7337 1.5114 -3.6198E+07 -1.9980E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 1.0075E+04 3.5788E+12 3.5788E+12

276.64 2.6721 1.4773 -3.2954E+07 -1.8188E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 9174.3 3.5788E+12 3.5788E+12

287.28 2.6094 1.4426 -2.9711E+07 -1.6395E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 8273.5 3.5788E+12 3.5788E+12

297.92 2.5458 1.4074 -2.6468E+07 -1.4603E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 7372.6 3.5788E+12 3.5788E+12

308.56 2.4813 1.3718 -2.3224E+07 -1.2811E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 6471.8 3.5788E+12 3.5788E+12

319.20 2.4161 1.3357 -1.9981E+07 -1.1019E+07 3.0442E+05 1.6822E+05 0.0000 0.0000 5570.9 3.5788E+12 3.5788E+12

329.84 2.3503 1.2993 -1.6737E+07 -9.2262E+06 3.0442E+05 1.6822E+05 0.0000 0.0000 4670.0 3.5788E+12 3.5788E+12

340.48 2.2839 1.2626 -1.3493E+07 -7.4338E+06 3.0442E+05 1.6822E+05 0.0000 0.0000 3769.1 3.5788E+12 3.5788E+12

351.12 2.2172 1.2257 -1.0250E+07 -5.6415E+06 3.0442E+05 1.6822E+05 0.0000 0.0000 2868.2 3.5788E+12 3.5788E+12

361.76 2.1501 1.1886 -7.0062E+06 -3.8491E+06 3.0442E+05 1.6822E+05 0.0000 0.0000 1967.3 3.5788E+12 3.5788E+12

372.40 2.0827 1.1514 -3.7626E+06 -2.0567E+06 3.0437E+05 1.6819E+05 11.123 6.1492 1066.4 3.5788E+12 3.5788E+12

383.04 2.0153 1.1141 -5.2019E+05 -2.6501E+05 3.0391E+05 1.6794E+05 74.203 41.021 165.92 3.5788E+12 3.5788E+12

393.68 1.9478 1.0768 2.7138E+06 1.5220E+06 3.0266E+05 1.6724E+05 161.44 89.245 780.39 3.5788E+12 3.5788E+12

404.32 1.8805 1.0395 5.9295E+06 3.2990E+06 3.0035E+05 1.6597E+05 271.63 150.16 1673.5 3.5788E+12 3.5788E+12

414.96 1.8133 1.0024 9.1145E+06 5.0589E+06 2.9676E+05 1.6398E+05 404.31 223.51 2558.1 3.5788E+12 3.5788E+12

425.60 1.7464 0.9654 1.2254E+07 6.7936E+06 2.9162E+05 1.6114E+05 562.37 310.88 3430.0 3.5788E+12 3.5788E+12

436.24 1.6799 0.9286 1.5329E+07 8.4930E+06 2.8405E+05 1.5696E+05 859.95 475.38 4284.2 3.5788E+12 3.5788E+12

446.88 1.6138 0.8921 1.8307E+07 1.0139E+07 2.7476E+05 1.5182E+05 885.98 489.76 5111.3 3.5788E+12 3.5788E+12

Page 81: Willis Avenue Bridge – Pivot Pier

80

457.52 1.5484 0.8559 2.1185E+07 1.1729E+07 2.6520E+05 1.4654E+05 910.91 503.54 5910.6 3.5788E+12 3.5788E+12

468.16 1.4836 0.8201 2.3959E+07 1.3262E+07 2.5538E+05 1.4111E+05 934.79 516.74 6681.2 3.5788E+12 3.5788E+12

478.80 1.4196 0.7847 2.6628E+07 1.4736E+07 2.4532E+05 1.3555E+05 957.63 529.36 7422.3 3.5788E+12 3.5788E+12

489.44 1.3564 0.7498 2.9188E+07 1.6151E+07 2.3501E+05 1.2985E+05 979.43 541.41 8133.4 3.5788E+12 3.5788E+12

500.08 1.2942 0.7154 3.1638E+07 1.7504E+07 2.2448E+05 1.2403E+05 1000.2 552.89 8813.6 3.5788E+12 3.5788E+12

510.72 1.2329 0.6815 3.3974E+07 1.8795E+07 2.1373E+05 1.1809E+05 1019.9 563.79 9462.4 3.5788E+12 3.5788E+12

521.36 1.1727 0.6482 3.6194E+07 2.0022E+07 2.0278E+05 1.1203E+05 1038.6 574.12 1.0079E+04 3.5788E+12 3.5788E+12

532.00 1.1137 0.6156 3.8297E+07 2.1183E+07 1.9164E+05 1.0587E+05 1056.2 583.85 1.0663E+04 3.5788E+12 3.5788E+12

542.64 1.0559 0.5836 4.0280E+07 2.2279E+07 1.8031E+05 9.9613E+04 1072.8 592.97 1.1214E+04 3.5788E+12 3.5788E+12

553.28 0.9993 0.5524 4.2142E+07 2.3307E+07 1.6882E+05 9.3259E+04 1088.2 601.49 1.1731E+04 3.5788E+12 3.5788E+12

563.92 0.9441 0.5219 4.3880E+07 2.4268E+07 1.5716E+05 8.6817E+04 1102.5 609.38 1.2214E+04 3.5788E+12 3.5788E+12

574.56 0.8903 0.4921 4.5493E+07 2.5159E+07 1.4536E+05 8.0295E+04 1115.6 616.63 1.2662E+04 3.5788E+12 3.5788E+12

585.20 0.8379 0.4631 4.6980E+07 2.5980E+07 1.3343E+05 7.3699E+04 1127.5 623.24 1.3075E+04 3.5788E+12 3.5788E+12

595.84 0.7870 0.4350 4.8340E+07 2.6731E+07 1.2138E+05 6.7036E+04 1138.3 629.18 1.3452E+04 3.5788E+12 3.5788E+12

606.48 0.7376 0.4077 4.9570E+07 2.7410E+07 1.0921E+05 6.0314E+04 1147.8 634.45 1.3794E+04 3.5788E+12 3.5788E+12

617.12 0.6898 0.3813 5.0670E+07 2.8018E+07 9.6957E+04 5.3539E+04 1156.1 639.03 1.4099E+04 3.5788E+12 3.5788E+12

627.76 0.6436 0.3557 5.1639E+07 2.8553E+07 8.4618E+04 4.6719E+04 1163.2 642.91 1.4368E+04 3.5788E+12 3.5788E+12

638.40 0.5991 0.3311 5.2477E+07 2.9016E+07 7.2212E+04 3.9862E+04 1168.9 646.07 1.4601E+04 3.5788E+12 3.5788E+12

649.04 0.5562 0.3074 5.3182E+07 2.9405E+07 5.9752E+04 3.2975E+04 1173.3 648.49 1.4797E+04 3.5788E+12 3.5788E+12

659.68 0.5149 0.2846 5.3754E+07 2.9720E+07 4.7252E+04 2.6066E+04 1176.3 650.17 1.4955E+04 3.5788E+12 3.5788E+12

670.32 0.4754 0.2628 5.4193E+07 2.9962E+07 3.4727E+04 1.9144E+04 1178.0 651.08 1.5077E+04 3.5788E+12 3.5788E+12

680.96 0.4376 0.2419 5.4498E+07 3.0131E+07 2.2192E+04 1.2216E+04 1178.2 651.21 1.5162E+04 3.5788E+12 3.5788E+12

691.60 0.4015 0.2219 5.4670E+07 3.0225E+07 9662.3 5290.4 1177.0 650.55 1.5210E+04 3.5788E+12 3.5788E+12

702.24 0.3672 0.2029 5.4708E+07 3.0246E+07 -2846.9 -1623.4 1174.4 649.06 1.5220E+04 3.5788E+12 3.5788E+12

712.88 0.3345 0.1849 5.4614E+07 3.0193E+07 -1.5320E+04 -8516.9 1170.2 646.74 1.5194E+04 3.5788E+12 3.5788E+12

723.52 0.3036 0.1678 5.4387E+07 3.0067E+07 -2.7740E+04 -1.5381E+04 1164.4 643.55 1.5131E+04 3.5788E+12 3.5788E+12

734.16 0.2744 0.1517 5.4027E+07 2.9868E+07 -4.0090E+04 -2.2207E+04 1157.1 639.50 1.5031E+04 3.5788E+12 3.5788E+12

744.80 0.2470 0.1365 5.3537E+07 2.9596E+07 -5.2354E+04 -2.8985E+04 1148.1 634.54 1.4895E+04 3.5788E+12 3.5788E+12

755.44 0.2212 0.1223 5.2917E+07 2.9253E+07 -6.4513E+04 -3.5705E+04 1137.5 628.65 1.4722E+04 3.5788E+12 3.5788E+12

766.08 0.1971 0.1089 5.2168E+07 2.8838E+07 -7.6550E+04 -4.2357E+04 1125.1 621.82 1.4514E+04 3.5788E+12 3.5788E+12

776.72 0.1747 9.6522E-02 5.1291E+07 2.8353E+07 -8.8446E+04 -4.8932E+04 1111.0 614.01 1.4270E+04 3.5788E+12 3.5788E+12

787.36 0.1538 8.5010E-02 5.0288E+07 2.7799E+07 -1.0018E+05 -5.5418E+04 1095.1 605.20 1.3992E+04 3.5788E+12 3.5788E+12

798.00 0.1346 7.4378E-02 4.9162E+07 2.7175E+07 -1.1174E+05 -6.1805E+04 1077.3 595.35 1.3679E+04 3.5788E+12 3.5788E+12

808.64 0.1169 6.4605E-02 4.7913E+07 2.6485E+07 -1.2310E+05 -6.8081E+04 1057.6 584.44 1.3332E+04 3.5788E+12 3.5788E+12

819.28 0.1007 5.5670E-02 4.6544E+07 2.5728E+07 -1.3423E+05 -7.4236E+04 1035.8 572.42 1.2952E+04 3.5788E+12 3.5788E+12

829.92 8.6044E-02 4.7549E-02 4.5059E+07 2.4906E+07 -1.4513E+05 -8.0256E+04 1012.0 559.27 1.2539E+04 3.5788E+12 3.5788E+12

840.56 7.2775E-02 4.0215E-02 4.3458E+07 2.4021E+07 -1.5576E+05 -8.6130E+04 986.13 544.93 1.2094E+04 3.5788E+12 3.5788E+12

851.20 6.0880E-02 3.3642E-02 4.1746E+07 2.3074E+07 -1.6972E+05 -9.3843E+04 1637.3 904.75 1.1619E+04 3.5788E+12 3.5788E+12

861.84 5.0307E-02 2.7798E-02 3.9848E+07 2.2025E+07 -1.8715E+05 -1.0348E+05 1640.1 906.26 1.1091E+04 3.5788E+12 3.5788E+12

872.48 4.0993E-02 2.2651E-02 3.7764E+07 2.0873E+07 -2.0328E+05 -1.1239E+05 1392.5 769.45 1.0513E+04 3.5788E+12 3.5788E+12

883.12 3.2875E-02 1.8165E-02 3.5523E+07 1.9634E+07 -2.1687E+05 -1.1990E+05 1160.4 641.20 9890.1 3.5788E+12 3.5788E+12

893.76 2.5880E-02 1.4299E-02 3.3150E+07 1.8322E+07 -2.2808E+05 -1.2609E+05 947.95 523.77 9231.0 3.5788E+12 3.5788E+12

904.40 1.9934E-02 1.1014E-02 3.0670E+07 1.6951E+07 -2.3715E+05 -1.3110E+05 756.66 418.06 8542.1 3.5788E+12 3.5788E+12

915.04 1.4958E-02 8.2639E-03 2.8105E+07 1.5533E+07 -2.4430E+05 -1.3506E+05 587.67 324.68 7829.4 3.5788E+12 3.5788E+12

925.68 1.0871E-02 6.0056E-03 2.5472E+07 1.4077E+07 -2.4978E+05 -1.3808E+05 441.56 243.94 7098.1 3.5788E+12 3.5788E+12

936.32 7.5895E-03 4.1927E-03 2.2790E+07 1.2594E+07 -2.5382E+05 -1.4031E+05 318.37 175.88 6353.0 3.5788E+12 3.5788E+12

946.96 5.0292E-03 2.7781E-03 2.0071E+07 1.1092E+07 -2.5667E+05 -1.4189E+05 217.66 120.23 5597.9 3.5788E+12 3.5788E+12

957.60 3.1039E-03 1.7144E-03 1.7328E+07 9.5752E+06 -2.5857E+05 -1.4294E+05 138.46 76.479 4835.9 3.5788E+12 3.5788E+12

968.24 1.7267E-03 9.5365E-04 1.4569E+07 8.0501E+06 -2.5973E+05 -1.4358E+05 79.323 43.810 4069.6 3.5788E+12 3.5788E+12

978.88 8.1039E-04 4.4752E-04 1.1801E+07 6.5200E+06 -2.6035E+05 -1.4392E+05 38.306 21.154 3300.7 3.5788E+12 3.5788E+12

989.52 2.6740E-04 1.4763E-04 9.0290E+06 4.9875E+06 -2.6062E+05 -1.4407E+05 12.995 7.1748 2530.6 3.5788E+12 3.5788E+12

1000.2 1.0027E-05 5.5222E-06 6.2552E+06 3.4541E+06 -3.0966E+05 -1.7108E+05 9204.7 5069.5 1757.3 3.5788E+12 3.5788E+12

1010.8 -4.9469E-05 -2.7322E-05 2.4394E+06 1.3469E+06 -2.8388E+05 -1.5676E+05 -1.4052E+04 -7760.9 694.89 3.5788E+12 3.5788E+12

1021.4 -3.1798E-05 -1.7560E-05 2.1430E+05 1.1822E+05 -1.4003E+05 -7.7319E+04 -1.2988E+04 -7172.1 74.250 3.5788E+12 3.5788E+12

1032.1 -7.3490E-06 -4.0580E-06 -5.4046E+05 -2.9848E+05 -2.0961E+04 -1.1569E+04 -9393.8 -5187.0 162.13 3.5788E+12 3.5788E+12

1042.7 3.6754E-09 2.0319E-09 -2.3175E+05 -1.2796E+05 2.5327E+04 1.3988E+04 693.03 383.14 73.709 3.5788E+12 3.5788E+12

1053.4 2.5416E-08 1.4034E-08 -1490.7 -823.06 1.0890E+04 6013.4 2020.7 1115.8 7.0964 3.5788E+12 3.5788E+12

1064.0 3.5709E-14 1.9716E-14 -3.0847E-14 -8.9886E-15 -3.2372E-16 -8.2211E-15 26.336 14.541 4.0227 3.5788E+12 3.5788E+12

Page 82: Willis Avenue Bridge – Pivot Pier

81

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 18

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

1.8114E-02 3.5099 2.0545 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

9.4356E+05 2.9193E+05 1.7076E+05 8.4490E+05 -6.6373E+07 1.1350E+08

STR,LBS/IN**2

3.2297E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

1.8114E-02 3.5099 2.0545 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

9.4356E+05 2.9193E+05 1.7076E+05 8.4490E+05 -6.6373E+07 1.1350E+08

STR,LBS/IN**2

3.2297E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.5099 2.0545 -1.1350E+08 -6.6373E+07 2.9196E+05 1.7078E+05 0.0000 0.0000 3.2297E+04 3.5788E+12 3.5788E+12

10.640 3.5078 2.0532 -1.1039E+08 -6.4556E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 3.1422E+04 3.5788E+12 3.5788E+12

21.280 3.5021 2.0498 -1.0728E+08 -6.2736E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 3.0546E+04 3.5788E+12 3.5788E+12

31.920 3.4930 2.0445 -1.0417E+08 -6.0915E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 2.9669E+04 3.5788E+12 3.5788E+12

42.560 3.4807 2.0372 -1.0105E+08 -5.9092E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 2.8791E+04 3.5788E+12 3.5788E+12

53.200 3.4651 2.0281 -9.7931E+07 -5.7268E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 2.7913E+04 3.5788E+12 3.5788E+12

63.840 3.4464 2.0171 -9.4809E+07 -5.5441E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 2.7033E+04 3.5788E+12 3.5788E+12

74.480 3.4248 2.0044 -9.1684E+07 -5.3613E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 2.6153E+04 3.5788E+12 3.5788E+12

85.120 3.4002 1.9900 -8.8556E+07 -5.1783E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 2.5272E+04 3.5788E+12 3.5788E+12

95.760 3.3729 1.9740 -8.5425E+07 -4.9952E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 2.4390E+04 3.5788E+12 3.5788E+12

106.40 3.3428 1.9564 -8.2292E+07 -4.8119E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 2.3508E+04 3.5788E+12 3.5788E+12

117.04 3.3102 1.9372 -7.9156E+07 -4.6285E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 2.2625E+04 3.5788E+12 3.5788E+12

127.68 3.2750 1.9166 -7.6018E+07 -4.4450E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 2.1741E+04 3.5788E+12 3.5788E+12

138.32 3.2374 1.8946 -7.2878E+07 -4.2613E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 2.0857E+04 3.5788E+12 3.5788E+12

148.96 3.1975 1.8713 -6.9736E+07 -4.0775E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 1.9972E+04 3.5788E+12 3.5788E+12

Page 83: Willis Avenue Bridge – Pivot Pier

82

159.60 3.1555 1.8466 -6.6591E+07 -3.8935E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 1.9086E+04 3.5788E+12 3.5788E+12

170.24 3.1113 1.8207 -6.3445E+07 -3.7095E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 1.8200E+04 3.5788E+12 3.5788E+12

180.88 3.0651 1.7937 -6.0296E+07 -3.5253E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 1.7313E+04 3.5788E+12 3.5788E+12

191.52 3.0170 1.7655 -5.7146E+07 -3.3410E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 1.6426E+04 3.5788E+12 3.5788E+12

202.16 2.9670 1.7363 -5.3994E+07 -3.1567E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 1.5538E+04 3.5788E+12 3.5788E+12

212.80 2.9154 1.7061 -5.0841E+07 -2.9722E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 1.4650E+04 3.5788E+12 3.5788E+12

223.44 2.8622 1.6749 -4.7686E+07 -2.7877E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 1.3762E+04 3.5788E+12 3.5788E+12

234.08 2.8075 1.6429 -4.4530E+07 -2.6030E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 1.2873E+04 3.5788E+12 3.5788E+12

244.72 2.7513 1.6100 -4.1372E+07 -2.4183E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 1.1983E+04 3.5788E+12 3.5788E+12

255.36 2.6939 1.5764 -3.8213E+07 -2.2335E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 1.1094E+04 3.5788E+12 3.5788E+12

266.00 2.6352 1.5420 -3.5053E+07 -2.0487E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 1.0204E+04 3.5788E+12 3.5788E+12

276.64 2.5754 1.5070 -3.1891E+07 -1.8638E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 9313.4 3.5788E+12 3.5788E+12

287.28 2.5146 1.4715 -2.8729E+07 -1.6788E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 8422.9 3.5788E+12 3.5788E+12

297.92 2.4530 1.4354 -2.5566E+07 -1.4938E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 7532.1 3.5788E+12 3.5788E+12

308.56 2.3905 1.3988 -2.2403E+07 -1.3087E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 6641.0 3.5788E+12 3.5788E+12

319.20 2.3273 1.3618 -1.9238E+07 -1.1236E+07 2.9180E+05 1.7069E+05 0.0000 0.0000 5749.8 3.5788E+12 3.5788E+12

329.84 2.2634 1.3244 -1.6073E+07 -9.3849E+06 2.9180E+05 1.7069E+05 0.0000 0.0000 4858.5 3.5788E+12 3.5788E+12

340.48 2.1991 1.2868 -1.2908E+07 -7.5333E+06 2.9180E+05 1.7069E+05 0.0000 0.0000 3967.0 3.5788E+12 3.5788E+12

351.12 2.1344 1.2489 -9.7418E+06 -5.6815E+06 2.9180E+05 1.7069E+05 0.0000 0.0000 3075.3 3.5788E+12 3.5788E+12

361.76 2.0693 1.2108 -6.5757E+06 -3.8294E+06 2.9180E+05 1.7069E+05 0.0000 0.0000 2183.6 3.5788E+12 3.5788E+12

372.40 2.0041 1.1726 -3.4093E+06 -1.9773E+06 2.9174E+05 1.7065E+05 10.970 6.4189 1291.9 3.5788E+12 3.5788E+12

383.04 1.9387 1.1344 -2.4414E+05 -1.2584E+05 2.9130E+05 1.7039E+05 73.122 42.786 400.53 3.5788E+12 3.5788E+12

393.68 1.8734 1.0961 2.9128E+06 1.7208E+06 2.9007E+05 1.6967E+05 157.53 92.176 1156.2 3.5788E+12 3.5788E+12

404.32 1.8081 1.0579 6.0518E+06 3.5569E+06 2.8782E+05 1.6836E+05 265.24 155.20 2040.2 3.5788E+12 3.5788E+12

414.96 1.7430 1.0199 9.1606E+06 5.3754E+06 2.8431E+05 1.6630E+05 394.85 231.03 2915.7 3.5788E+12 3.5788E+12

425.60 1.6782 0.9819 1.2224E+07 7.1675E+06 2.7929E+05 1.6336E+05 549.29 321.40 3778.6 3.5788E+12 3.5788E+12

436.24 1.6138 0.9443 1.5226E+07 8.9231E+06 2.7189E+05 1.5903E+05 842.55 492.98 4623.5 3.5788E+12 3.5788E+12

446.88 1.5499 0.9069 1.8131E+07 1.0623E+07 2.6279E+05 1.5371E+05 867.99 507.86 5441.5 3.5788E+12 3.5788E+12

457.52 1.4866 0.8698 2.0938E+07 1.2264E+07 2.5343E+05 1.4824E+05 892.34 522.11 6231.6 3.5788E+12 3.5788E+12

468.16 1.4239 0.8331 2.3643E+07 1.3846E+07 2.4382E+05 1.4261E+05 915.65 535.74 6993.1 3.5788E+12 3.5788E+12

478.80 1.3619 0.7969 2.6243E+07 1.5368E+07 2.3397E+05 1.3685E+05 937.93 548.78 7725.1 3.5788E+12 3.5788E+12

489.44 1.3008 0.7611 2.8737E+07 1.6826E+07 2.2388E+05 1.3094E+05 959.20 561.22 8427.1 3.5788E+12 3.5788E+12

500.08 1.2406 0.7259 3.1121E+07 1.8221E+07 2.1357E+05 1.2491E+05 979.45 573.06 9098.3 3.5788E+12 3.5788E+12

510.72 1.1814 0.6912 3.3394E+07 1.9550E+07 2.0305E+05 1.1876E+05 998.67 584.31 9737.9 3.5788E+12 3.5788E+12

521.36 1.1232 0.6572 3.5552E+07 2.0812E+07 1.9233E+05 1.1249E+05 1016.8 594.94 1.0345E+04 3.5788E+12 3.5788E+12

532.00 1.0662 0.6238 3.7594E+07 2.2006E+07 1.8143E+05 1.0611E+05 1034.0 604.95 1.0920E+04 3.5788E+12 3.5788E+12

542.64 1.0104 0.5911 3.9518E+07 2.3132E+07 1.7035E+05 9.9623E+04 1050.0 614.34 1.1462E+04 3.5788E+12 3.5788E+12

553.28 0.9558 0.5592 4.1322E+07 2.4187E+07 1.5910E+05 9.3043E+04 1065.0 623.08 1.1970E+04 3.5788E+12 3.5788E+12

563.92 0.9025 0.5280 4.3005E+07 2.5171E+07 1.4770E+05 8.6372E+04 1078.8 631.17 1.2443E+04 3.5788E+12 3.5788E+12

574.56 0.8506 0.4976 4.4563E+07 2.6082E+07 1.3616E+05 7.9620E+04 1091.5 638.60 1.2882E+04 3.5788E+12 3.5788E+12

585.20 0.8000 0.4681 4.5997E+07 2.6921E+07 1.2449E+05 7.2791E+04 1103.0 645.34 1.3285E+04 3.5788E+12 3.5788E+12

595.84 0.7510 0.4394 4.7305E+07 2.7685E+07 1.1270E+05 6.5895E+04 1113.4 651.40 1.3653E+04 3.5788E+12 3.5788E+12

606.48 0.7034 0.4115 4.8485E+07 2.8375E+07 1.0081E+05 5.8938E+04 1122.5 656.75 1.3985E+04 3.5788E+12 3.5788E+12

617.12 0.6574 0.3846 4.9537E+07 2.8990E+07 8.8824E+04 5.1927E+04 1130.5 661.38 1.4281E+04 3.5788E+12 3.5788E+12

627.76 0.6129 0.3586 5.0459E+07 2.9529E+07 7.6764E+04 4.4872E+04 1137.1 665.28 1.4541E+04 3.5788E+12 3.5788E+12

638.40 0.5700 0.3335 5.1252E+07 2.9993E+07 6.4639E+04 3.7778E+04 1142.5 668.42 1.4763E+04 3.5788E+12 3.5788E+12

649.04 0.5288 0.3094 5.1913E+07 3.0379E+07 5.2465E+04 3.0655E+04 1146.6 670.80 1.4949E+04 3.5788E+12 3.5788E+12

659.68 0.4892 0.2862 5.2443E+07 3.0689E+07 4.0253E+04 2.3511E+04 1149.3 672.40 1.5098E+04 3.5788E+12 3.5788E+12

670.32 0.4512 0.2640 5.2841E+07 3.0921E+07 2.8020E+04 1.6354E+04 1150.7 673.19 1.5210E+04 3.5788E+12 3.5788E+12

680.96 0.4150 0.2428 5.3108E+07 3.1077E+07 1.5779E+04 9193.1 1150.7 673.17 1.5285E+04 3.5788E+12 3.5788E+12

691.60 0.3804 0.2225 5.3242E+07 3.1155E+07 3546.4 2036.5 1149.2 672.32 1.5322E+04 3.5788E+12 3.5788E+12

702.24 0.3475 0.2033 5.3245E+07 3.1156E+07 -8663.4 -5106.5 1146.3 670.61 1.5323E+04 3.5788E+12 3.5788E+12

712.88 0.3162 0.1850 5.3117E+07 3.1081E+07 -2.0834E+04 -1.2227E+04 1141.9 668.02 1.5287E+04 3.5788E+12 3.5788E+12

723.52 0.2867 0.1677 5.2858E+07 3.0929E+07 -3.2950E+04 -1.9315E+04 1135.9 664.55 1.5213E+04 3.5788E+12 3.5788E+12

734.16 0.2588 0.1514 5.2469E+07 3.0701E+07 -4.4995E+04 -2.6361E+04 1128.4 660.15 1.5103E+04 3.5788E+12 3.5788E+12

744.80 0.2326 0.1361 5.1950E+07 3.0397E+07 -5.6952E+04 -3.3356E+04 1119.3 654.81 1.4957E+04 3.5788E+12 3.5788E+12

755.44 0.2080 0.1217 5.1303E+07 3.0018E+07 -6.8802E+04 -4.0288E+04 1108.6 648.51 1.4775E+04 3.5788E+12 3.5788E+12

766.08 0.1851 0.1083 5.0530E+07 2.9565E+07 -8.0530E+04 -4.7149E+04 1096.1 641.22 1.4556E+04 3.5788E+12 3.5788E+12

776.72 0.1637 9.5784E-02 4.9630E+07 2.9039E+07 -9.2116E+04 -5.3927E+04 1081.9 632.91 1.4303E+04 3.5788E+12 3.5788E+12

Page 84: Willis Avenue Bridge – Pivot Pier

83

787.36 0.1440 8.4213E-02 4.8607E+07 2.8440E+07 -1.0354E+05 -6.0610E+04 1065.9 623.56 1.4014E+04 3.5788E+12 3.5788E+12

798.00 0.1257 7.3541E-02 4.7462E+07 2.7769E+07 -1.1479E+05 -6.7189E+04 1048.1 613.12 1.3691E+04 3.5788E+12 3.5788E+12

808.64 0.1090 6.3747E-02 4.6196E+07 2.7029E+07 -1.2583E+05 -7.3650E+04 1028.4 601.58 1.3335E+04 3.5788E+12 3.5788E+12

819.28 9.3696E-02 5.4809E-02 4.4813E+07 2.6219E+07 -1.3666E+05 -7.9983E+04 1006.7 588.88 1.2945E+04 3.5788E+12 3.5788E+12

829.92 7.9834E-02 4.6700E-02 4.3315E+07 2.5342E+07 -1.4724E+05 -8.6174E+04 982.98 575.00 1.2523E+04 3.5788E+12 3.5788E+12

840.56 6.7343E-02 3.9392E-02 4.1704E+07 2.4400E+07 -1.5756E+05 -9.2212E+04 957.17 559.90 1.2069E+04 3.5788E+12 3.5788E+12

851.20 5.6171E-02 3.2857E-02 3.9984E+07 2.3393E+07 -1.7096E+05 -1.0005E+05 1561.4 913.32 1.1584E+04 3.5788E+12 3.5788E+12

861.84 4.6264E-02 2.7061E-02 3.8085E+07 2.2282E+07 -1.8730E+05 -1.0961E+05 1510.0 883.25 1.1049E+04 3.5788E+12 3.5788E+12

872.48 3.7562E-02 2.1970E-02 3.6015E+07 2.1070E+07 -2.0212E+05 -1.1828E+05 1275.9 746.32 1.0466E+04 3.5788E+12 3.5788E+12

883.12 2.9998E-02 1.7546E-02 3.3799E+07 1.9773E+07 -2.1454E+05 -1.2554E+05 1058.9 619.37 9841.5 3.5788E+12 3.5788E+12

893.76 2.3504E-02 1.3748E-02 3.1462E+07 1.8406E+07 -2.2476E+05 -1.3151E+05 860.95 503.56 9183.2 3.5788E+12 3.5788E+12

904.40 1.8006E-02 1.0531E-02 2.9027E+07 1.6981E+07 -2.3297E+05 -1.3632E+05 683.48 399.75 8497.2 3.5788E+12 3.5788E+12

915.04 1.3425E-02 7.8519E-03 2.6514E+07 1.5511E+07 -2.3942E+05 -1.4009E+05 527.47 308.49 7789.2 3.5788E+12 3.5788E+12

925.68 9.6836E-03 5.6633E-03 2.3940E+07 1.4005E+07 -2.4431E+05 -1.4295E+05 393.34 230.04 7064.1 3.5788E+12 3.5788E+12

936.32 6.6991E-03 3.9177E-03 2.1321E+07 1.2472E+07 -2.4790E+05 -1.4505E+05 281.02 164.34 6326.3 3.5788E+12 3.5788E+12

946.96 4.3891E-03 2.5667E-03 1.8669E+07 1.0921E+07 -2.5041E+05 -1.4652E+05 189.96 111.08 5579.4 3.5788E+12 3.5788E+12

957.60 2.6697E-03 1.5611E-03 1.5996E+07 9.3564E+06 -2.5205E+05 -1.4748E+05 119.09 69.639 4826.3 3.5788E+12 3.5788E+12

968.24 1.4563E-03 8.5149E-04 1.3308E+07 7.7840E+06 -2.5304E+05 -1.4806E+05 66.902 39.117 4069.2 3.5788E+12 3.5788E+12

978.88 6.6389E-04 3.8813E-04 1.0613E+07 6.2068E+06 -2.5356E+05 -1.4836E+05 31.381 18.347 3310.0 3.5788E+12 3.5788E+12

989.52 2.0719E-04 1.2111E-04 7.9136E+06 4.6275E+06 -2.5378E+05 -1.4849E+05 10.069 5.8859 2549.6 3.5788E+12 3.5788E+12

1000.2 8.1869E-07 4.7673E-07 5.2129E+06 3.0473E+06 -2.8370E+05 -1.6591E+05 5614.5 3269.4 1749.8 3.5788E+12 3.5788E+12

1010.8 -4.0645E-05 -2.3761E-05 1.8765E+06 1.0969E+06 -2.4337E+05 -1.4227E+05 -1.3196E+04 -7714.3 771.73 3.5788E+12 3.5788E+12

1021.4 -2.2748E-05 -1.3298E-05 3.4039E+04 1.9883E+04 -1.1071E+05 -6.4717E+04 -1.1740E+04 -6862.9 214.80 3.5788E+12 3.5788E+12

1032.1 -3.7732E-06 -2.2057E-06 -4.7938E+05 -2.8023E+05 -7305.5 -4269.8 -7696.9 -4499.3 302.50 3.5788E+12 3.5788E+12

1042.7 3.6707E-08 2.1458E-08 -1.2143E+05 -7.0985E+04 2.2566E+04 1.3192E+04 2081.9 1217.1 164.31 3.5788E+12 3.5788E+12

1053.4 5.3207E-09 3.1103E-09 823.97 481.70 5706.4 3335.7 1087.2 635.53 93.189 3.5788E+12 3.5788E+12

1064.0 -4.8022E-15 -2.8074E-15 1.0814E-14 5.7456E-16 6.0491E-15 -3.8273E-16 -14.557 -8.5098 55.959 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 19

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

2.2573E-02 3.4596 2.0545 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

1.1759E+06 2.8767E+05 1.7073E+05 8.4490E+05 -6.6496E+07 1.1207E+08

STR,LBS/IN**2

3.2094E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

2.2573E-02 3.4596 2.0545 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

Page 85: Willis Avenue Bridge – Pivot Pier

84

1.1759E+06 2.8767E+05 1.7073E+05 8.4490E+05 -6.6496E+07 1.1207E+08

STR,LBS/IN**2

3.2094E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.4596 2.0545 -1.1207E+08 -6.6496E+07 2.8770E+05 1.7075E+05 0.0000 0.0000 3.2094E+04 3.5788E+12 3.5788E+12

10.640 3.4575 2.0532 -1.0901E+08 -6.4678E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 3.1229E+04 3.5788E+12 3.5788E+12

21.280 3.4519 2.0498 -1.0594E+08 -6.2859E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 3.0362E+04 3.5788E+12 3.5788E+12

31.920 3.4429 2.0444 -1.0287E+08 -6.1037E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 2.9494E+04 3.5788E+12 3.5788E+12

42.560 3.4307 2.0372 -9.9797E+07 -5.9213E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 2.8626E+04 3.5788E+12 3.5788E+12

53.200 3.4153 2.0280 -9.6720E+07 -5.7387E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 2.7756E+04 3.5788E+12 3.5788E+12

63.840 3.3969 2.0170 -9.3639E+07 -5.5558E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 2.6885E+04 3.5788E+12 3.5788E+12

74.480 3.3755 2.0043 -9.0555E+07 -5.3728E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 2.6013E+04 3.5788E+12 3.5788E+12

85.120 3.3512 1.9899 -8.7467E+07 -5.1896E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 2.5140E+04 3.5788E+12 3.5788E+12

95.760 3.3242 1.9738 -8.4376E+07 -5.0061E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 2.4266E+04 3.5788E+12 3.5788E+12

106.40 3.2945 1.9562 -8.1282E+07 -4.8225E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 2.3392E+04 3.5788E+12 3.5788E+12

117.04 3.2623 1.9370 -7.8185E+07 -4.6387E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 2.2516E+04 3.5788E+12 3.5788E+12

127.68 3.2275 1.9164 -7.5086E+07 -4.4547E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 2.1640E+04 3.5788E+12 3.5788E+12

138.32 3.1904 1.8943 -7.1983E+07 -4.2706E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 2.0763E+04 3.5788E+12 3.5788E+12

148.96 3.1510 1.8709 -6.8877E+07 -4.0863E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 1.9885E+04 3.5788E+12 3.5788E+12

159.60 3.1095 1.8462 -6.5769E+07 -3.9018E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 1.9006E+04 3.5788E+12 3.5788E+12

170.24 3.0658 1.8203 -6.2659E+07 -3.7172E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 1.8127E+04 3.5788E+12 3.5788E+12

180.88 3.0202 1.7932 -5.9546E+07 -3.5325E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 1.7247E+04 3.5788E+12 3.5788E+12

191.52 2.9727 1.7649 -5.6431E+07 -3.3476E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 1.6367E+04 3.5788E+12 3.5788E+12

202.16 2.9234 1.7356 -5.3314E+07 -3.1626E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 1.5485E+04 3.5788E+12 3.5788E+12

212.80 2.8724 1.7054 -5.0195E+07 -2.9775E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 1.4604E+04 3.5788E+12 3.5788E+12

223.44 2.8198 1.6741 -4.7074E+07 -2.7923E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 1.3721E+04 3.5788E+12 3.5788E+12

234.08 2.7657 1.6420 -4.3952E+07 -2.6069E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 1.2839E+04 3.5788E+12 3.5788E+12

244.72 2.7103 1.6091 -4.0827E+07 -2.4215E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 1.1956E+04 3.5788E+12 3.5788E+12

255.36 2.6535 1.5754 -3.7702E+07 -2.2360E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 1.1072E+04 3.5788E+12 3.5788E+12

266.00 2.5956 1.5410 -3.4574E+07 -2.0504E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 1.0188E+04 3.5788E+12 3.5788E+12

276.64 2.5366 1.5059 -3.1446E+07 -1.8647E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 9303.4 3.5788E+12 3.5788E+12

287.28 2.4765 1.4703 -2.8316E+07 -1.6790E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 8418.7 3.5788E+12 3.5788E+12

297.92 2.4156 1.4341 -2.5185E+07 -1.4932E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 7533.7 3.5788E+12 3.5788E+12

308.56 2.3539 1.3975 -2.2054E+07 -1.3073E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 6648.4 3.5788E+12 3.5788E+12

319.20 2.2915 1.3604 -1.8921E+07 -1.1214E+07 2.8751E+05 1.7063E+05 0.0000 0.0000 5762.9 3.5788E+12 3.5788E+12

329.84 2.2285 1.3230 -1.5788E+07 -9.3546E+06 2.8751E+05 1.7063E+05 0.0000 0.0000 4877.2 3.5788E+12 3.5788E+12

340.48 2.1650 1.2853 -1.2654E+07 -7.4947E+06 2.8751E+05 1.7063E+05 0.0000 0.0000 3991.3 3.5788E+12 3.5788E+12

351.12 2.1010 1.2473 -9.5202E+06 -5.6346E+06 2.8751E+05 1.7063E+05 0.0000 0.0000 3105.3 3.5788E+12 3.5788E+12

361.76 2.0368 1.2092 -6.3856E+06 -3.7743E+06 2.8751E+05 1.7063E+05 0.0000 0.0000 2219.2 3.5788E+12 3.5788E+12

372.40 1.9724 1.1709 -3.2508E+06 -1.9138E+06 2.8745E+05 1.7060E+05 10.929 6.4882 1333.0 3.5788E+12 3.5788E+12

383.04 1.9079 1.1326 -1.1705E+05 -5.3947E+04 2.8701E+05 1.7033E+05 72.433 43.000 447.25 3.5788E+12 3.5788E+12

393.68 1.8434 1.0943 3.0085E+06 1.8010E+06 2.8579E+05 1.6961E+05 156.14 92.690 1268.3 3.5788E+12 3.5788E+12

404.32 1.7789 1.0561 6.1162E+06 3.6454E+06 2.8356E+05 1.6829E+05 262.97 156.11 2146.8 3.5788E+12 3.5788E+12

414.96 1.7147 1.0179 9.1939E+06 5.4720E+06 2.8008E+05 1.6622E+05 391.51 232.42 3016.8 3.5788E+12 3.5788E+12

425.60 1.6508 0.9800 1.2227E+07 7.2721E+06 2.7510E+05 1.6326E+05 544.68 323.35 3874.2 3.5788E+12 3.5788E+12

436.24 1.5872 0.9422 1.5198E+07 9.0353E+06 2.6776E+05 1.5891E+05 836.71 496.70 4713.7 3.5788E+12 3.5788E+12

446.88 1.5241 0.9048 1.8074E+07 1.0742E+07 2.5873E+05 1.5355E+05 861.94 511.68 5526.1 3.5788E+12 3.5788E+12

457.52 1.4616 0.8677 2.0851E+07 1.2390E+07 2.4944E+05 1.4803E+05 886.09 526.01 6310.9 3.5788E+12 3.5788E+12

468.16 1.3998 0.8310 2.3527E+07 1.3978E+07 2.3989E+05 1.4236E+05 909.20 539.73 7067.0 3.5788E+12 3.5788E+12

478.80 1.3387 0.7947 2.6100E+07 1.5505E+07 2.3011E+05 1.3656E+05 931.29 552.84 7793.8 3.5788E+12 3.5788E+12

Page 86: Willis Avenue Bridge – Pivot Pier

85

489.44 1.2784 0.7589 2.8566E+07 1.6969E+07 2.2009E+05 1.3061E+05 952.37 565.35 8490.5 3.5788E+12 3.5788E+12

500.08 1.2190 0.7236 3.0923E+07 1.8368E+07 2.0986E+05 1.2454E+05 972.44 577.26 9156.5 3.5788E+12 3.5788E+12

510.72 1.1606 0.6890 3.3169E+07 1.9700E+07 1.9942E+05 1.1834E+05 991.47 588.56 9791.0 3.5788E+12 3.5788E+12

521.36 1.1033 0.6549 3.5302E+07 2.0966E+07 1.8878E+05 1.1202E+05 1009.5 599.24 1.0393E+04 3.5788E+12 3.5788E+12

532.00 1.0471 0.6216 3.7319E+07 2.2163E+07 1.7795E+05 1.0560E+05 1026.4 609.29 1.0963E+04 3.5788E+12 3.5788E+12

542.64 0.9920 0.5889 3.9218E+07 2.3290E+07 1.6695E+05 9.9066E+04 1042.3 618.71 1.1500E+04 3.5788E+12 3.5788E+12

553.28 0.9382 0.5569 4.0998E+07 2.4346E+07 1.5579E+05 9.2439E+04 1057.1 627.49 1.2003E+04 3.5788E+12 3.5788E+12

563.92 0.8857 0.5258 4.2657E+07 2.5330E+07 1.4447E+05 8.5723E+04 1070.7 635.60 1.2471E+04 3.5788E+12 3.5788E+12

574.56 0.8345 0.4954 4.4193E+07 2.6242E+07 1.3302E+05 7.8923E+04 1083.3 643.04 1.2905E+04 3.5788E+12 3.5788E+12

585.20 0.7848 0.4658 4.5605E+07 2.7079E+07 1.2144E+05 7.2048E+04 1094.7 649.79 1.3304E+04 3.5788E+12 3.5788E+12

595.84 0.7365 0.4372 4.6891E+07 2.7842E+07 1.0974E+05 6.5105E+04 1104.9 655.85 1.3667E+04 3.5788E+12 3.5788E+12

606.48 0.6896 0.4094 4.8050E+07 2.8530E+07 9.7942E+04 5.8101E+04 1113.9 661.19 1.3994E+04 3.5788E+12 3.5788E+12

617.12 0.6443 0.3825 4.9082E+07 2.9142E+07 8.6053E+04 5.1044E+04 1121.7 665.80 1.4285E+04 3.5788E+12 3.5788E+12

627.76 0.6005 0.3565 4.9984E+07 2.9677E+07 7.4088E+04 4.3942E+04 1128.2 669.67 1.4540E+04 3.5788E+12 3.5788E+12

638.40 0.5584 0.3314 5.0757E+07 3.0136E+07 6.2060E+04 3.6802E+04 1133.4 672.78 1.4758E+04 3.5788E+12 3.5788E+12

649.04 0.5178 0.3073 5.1400E+07 3.0517E+07 4.9983E+04 2.9634E+04 1137.4 675.12 1.4940E+04 3.5788E+12 3.5788E+12

659.68 0.4788 0.2842 5.1913E+07 3.0821E+07 3.7871E+04 2.2444E+04 1140.0 676.67 1.5084E+04 3.5788E+12 3.5788E+12

670.32 0.4415 0.2621 5.2294E+07 3.1047E+07 2.5739E+04 1.5243E+04 1141.2 677.41 1.5191E+04 3.5788E+12 3.5788E+12

680.96 0.4059 0.2409 5.2544E+07 3.1195E+07 1.3600E+04 8037.3 1141.1 677.32 1.5262E+04 3.5788E+12 3.5788E+12

691.60 0.3719 0.2207 5.2664E+07 3.1266E+07 1469.7 837.29 1139.5 676.39 1.5295E+04 3.5788E+12 3.5788E+12

702.24 0.3396 0.2015 5.2652E+07 3.1258E+07 -1.0636E+04 -6348.3 1136.5 674.60 1.5291E+04 3.5788E+12 3.5788E+12

712.88 0.3089 0.1833 5.2510E+07 3.1173E+07 -2.2702E+04 -1.3510E+04 1132.0 671.92 1.5251E+04 3.5788E+12 3.5788E+12

723.52 0.2799 0.1661 5.2237E+07 3.1011E+07 -3.4712E+04 -2.0639E+04 1126.0 668.34 1.5174E+04 3.5788E+12 3.5788E+12

734.16 0.2525 0.1499 5.1835E+07 3.0773E+07 -4.6650E+04 -2.7725E+04 1118.4 663.83 1.5060E+04 3.5788E+12 3.5788E+12

744.80 0.2268 0.1346 5.1305E+07 3.0457E+07 -5.8499E+04 -3.4757E+04 1109.2 658.37 1.4909E+04 3.5788E+12 3.5788E+12

755.44 0.2028 0.1203 5.0648E+07 3.0067E+07 -7.0241E+04 -4.1727E+04 1098.4 651.93 1.4723E+04 3.5788E+12 3.5788E+12

766.08 0.1803 0.1070 4.9864E+07 2.9601E+07 -8.1860E+04 -4.8623E+04 1085.9 644.50 1.4501E+04 3.5788E+12 3.5788E+12

776.72 0.1594 9.4588E-02 4.8955E+07 2.9061E+07 -9.3336E+04 -5.5434E+04 1071.6 636.04 1.4244E+04 3.5788E+12 3.5788E+12

787.36 0.1400 8.3099E-02 4.7924E+07 2.8449E+07 -1.0465E+05 -6.2150E+04 1055.6 626.52 1.3952E+04 3.5788E+12 3.5788E+12

798.00 0.1222 7.2509E-02 4.6771E+07 2.7764E+07 -1.1579E+05 -6.8759E+04 1037.7 615.91 1.3626E+04 3.5788E+12 3.5788E+12

808.64 0.1058 6.2798E-02 4.5499E+07 2.7009E+07 -1.2672E+05 -7.5249E+04 1018.0 604.18 1.3266E+04 3.5788E+12 3.5788E+12

819.28 9.0887E-02 5.3942E-02 4.4110E+07 2.6184E+07 -1.3744E+05 -8.1609E+04 996.27 591.29 1.2873E+04 3.5788E+12 3.5788E+12

829.92 7.7360E-02 4.5913E-02 4.2606E+07 2.5291E+07 -1.4791E+05 -8.7824E+04 972.54 577.20 1.2447E+04 3.5788E+12 3.5788E+12

840.56 6.5182E-02 3.8685E-02 4.0991E+07 2.4332E+07 -1.5812E+05 -9.3884E+04 946.74 561.88 1.1991E+04 3.5788E+12 3.5788E+12

851.20 5.4300E-02 3.2226E-02 3.9268E+07 2.3309E+07 -1.7131E+05 -1.0171E+05 1532.1 909.28 1.1503E+04 3.5788E+12 3.5788E+12

861.84 4.4661E-02 2.6505E-02 3.7369E+07 2.2182E+07 -1.8721E+05 -1.1115E+05 1457.7 865.10 1.0966E+04 3.5788E+12 3.5788E+12

872.48 3.6204E-02 2.1485E-02 3.5304E+07 2.0956E+07 -2.0151E+05 -1.1963E+05 1229.8 729.84 1.0382E+04 3.5788E+12 3.5788E+12

883.12 2.8863E-02 1.7129E-02 3.3099E+07 1.9647E+07 -2.1347E+05 -1.2673E+05 1018.8 604.63 9758.6 3.5788E+12 3.5788E+12

893.76 2.2570E-02 1.3394E-02 3.0777E+07 1.8268E+07 -2.2329E+05 -1.3256E+05 826.70 490.59 9102.0 3.5788E+12 3.5788E+12

904.40 1.7250E-02 1.0236E-02 2.8361E+07 1.6834E+07 -2.3117E+05 -1.3724E+05 654.78 388.56 8418.7 3.5788E+12 3.5788E+12

915.04 1.2827E-02 7.6115E-03 2.5869E+07 1.5354E+07 -2.3733E+05 -1.4089E+05 503.96 299.05 7714.1 3.5788E+12 3.5788E+12

925.68 9.2225E-03 5.4725E-03 2.3319E+07 1.3841E+07 -2.4201E+05 -1.4367E+05 374.61 222.29 6993.2 3.5788E+12 3.5788E+12

936.32 6.3558E-03 3.7712E-03 2.0726E+07 1.2302E+07 -2.4542E+05 -1.4569E+05 266.62 158.20 6260.0 3.5788E+12 3.5788E+12

946.96 4.1447E-03 2.4592E-03 1.8103E+07 1.0744E+07 -2.4779E+05 -1.4710E+05 179.38 106.43 5518.1 3.5788E+12 3.5788E+12

957.60 2.5063E-03 1.4869E-03 1.5458E+07 9.1738E+06 -2.4934E+05 -1.4802E+05 111.80 66.331 4770.2 3.5788E+12 3.5788E+12

968.24 1.3569E-03 8.0494E-04 1.2800E+07 7.5959E+06 -2.5027E+05 -1.4857E+05 62.333 36.978 4018.6 3.5788E+12 3.5788E+12

978.88 6.1233E-04 3.6322E-04 1.0134E+07 6.0136E+06 -2.5075E+05 -1.4886E+05 28.945 17.169 3264.9 3.5788E+12 3.5788E+12

989.52 1.8839E-04 1.1173E-04 7.4651E+06 4.4290E+06 -2.5096E+05 -1.4898E+05 9.1555 5.4300 2510.2 3.5788E+12 3.5788E+12

1000.2 5.8894E-07 3.4749E-07 4.7946E+06 2.8437E+06 -2.7234E+05 -1.6159E+05 4010.6 2366.3 1706.5 3.5788E+12 3.5788E+12

1010.8 -3.5538E-05 -2.1079E-05 1.6700E+06 9.9045E+05 -2.2590E+05 -1.3399E+05 -1.2739E+04 -7555.8 775.23 3.5788E+12 3.5788E+12

1021.4 -1.8838E-05 -1.1173E-05 -1.2567E+04 -7468.2 -9.8856E+04 -5.8631E+04 -1.1142E+04 -6608.6 259.29 3.5788E+12 3.5788E+12

1032.1 -2.5348E-06 -1.5034E-06 -4.3370E+05 -2.5723E+05 -3315.5 -1965.7 -6816.5 -4042.8 331.33 3.5788E+12 3.5788E+12

1042.7 4.8518E-08 2.8777E-08 -8.3132E+04 -4.9306E+04 2.0446E+04 1.2127E+04 2349.9 1393.8 185.64 3.5788E+12 3.5788E+12

1053.4 2.1203E-09 1.2576E-09 1399.7 830.19 3906.6 2317.0 759.05 450.19 116.24 3.5788E+12 3.5788E+12

1064.0 -2.2809E-14 -1.3529E-14 1.1836E-14 2.1386E-15 2.0975E-16 -3.9651E-15 -24.727 -14.666 69.736 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

Page 87: Willis Avenue Bridge – Pivot Pier

86

* PILE GROUP * 20

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

3.6075E-02 3.3540 2.0864 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

1.8801E+06 2.7749E+05 1.7254E+05 8.4490E+05 -6.7720E+07 1.0893E+08

STR,LBS/IN**2

3.1845E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

3.6075E-02 3.3540 2.0864 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

1.8801E+06 2.7749E+05 1.7254E+05 8.4490E+05 -6.7720E+07 1.0893E+08

STR,LBS/IN**2

3.1845E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.3540 2.0864 -1.0893E+08 -6.7720E+07 2.7754E+05 1.7258E+05 0.0000 0.0000 3.1845E+04 3.5788E+12 3.5788E+12

10.640 3.3519 2.0850 -1.0597E+08 -6.5884E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 3.1000E+04 3.5788E+12 3.5788E+12

21.280 3.3464 2.0816 -1.0301E+08 -6.4043E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 3.0152E+04 3.5788E+12 3.5788E+12

31.920 3.3377 2.0762 -1.0005E+08 -6.2199E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 2.9303E+04 3.5788E+12 3.5788E+12

42.560 3.3258 2.0688 -9.7073E+07 -6.0351E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 2.8452E+04 3.5788E+12 3.5788E+12

53.200 3.3109 2.0594 -9.4096E+07 -5.8499E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 2.7600E+04 3.5788E+12 3.5788E+12

63.840 3.2929 2.0483 -9.1112E+07 -5.6644E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 2.6746E+04 3.5788E+12 3.5788E+12

74.480 3.2721 2.0353 -8.8123E+07 -5.4785E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 2.5890E+04 3.5788E+12 3.5788E+12

85.120 3.2485 2.0206 -8.5129E+07 -5.2923E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 2.5033E+04 3.5788E+12 3.5788E+12

95.760 3.2222 2.0042 -8.2130E+07 -5.1058E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 2.4175E+04 3.5788E+12 3.5788E+12

106.40 3.1933 1.9863 -7.9126E+07 -4.9190E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 2.3315E+04 3.5788E+12 3.5788E+12

117.04 3.1619 1.9667 -7.6117E+07 -4.7319E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 2.2453E+04 3.5788E+12 3.5788E+12

127.68 3.1281 1.9457 -7.3103E+07 -4.5446E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 2.1591E+04 3.5788E+12 3.5788E+12

138.32 3.0920 1.9232 -7.0086E+07 -4.3569E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 2.0727E+04 3.5788E+12 3.5788E+12

148.96 3.0537 1.8993 -6.7064E+07 -4.1690E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 1.9862E+04 3.5788E+12 3.5788E+12

159.60 3.0132 1.8742 -6.4038E+07 -3.9809E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 1.8995E+04 3.5788E+12 3.5788E+12

170.24 2.9707 1.8477 -6.1008E+07 -3.7925E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 1.8128E+04 3.5788E+12 3.5788E+12

180.88 2.9263 1.8201 -5.7975E+07 -3.6039E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 1.7260E+04 3.5788E+12 3.5788E+12

Page 88: Willis Avenue Bridge – Pivot Pier

87

191.52 2.8801 1.7913 -5.4938E+07 -3.4150E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 1.6391E+04 3.5788E+12 3.5788E+12

202.16 2.8321 1.7615 -5.1898E+07 -3.2260E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 1.5520E+04 3.5788E+12 3.5788E+12

212.80 2.7825 1.7306 -4.8855E+07 -3.0368E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 1.4649E+04 3.5788E+12 3.5788E+12

223.44 2.7313 1.6988 -4.5809E+07 -2.8474E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 1.3777E+04 3.5788E+12 3.5788E+12

234.08 2.6787 1.6660 -4.2760E+07 -2.6578E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 1.2904E+04 3.5788E+12 3.5788E+12

244.72 2.6247 1.6325 -3.9709E+07 -2.4681E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 1.2031E+04 3.5788E+12 3.5788E+12

255.36 2.5695 1.5981 -3.6655E+07 -2.2782E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 1.1157E+04 3.5788E+12 3.5788E+12

266.00 2.5131 1.5630 -3.3600E+07 -2.0882E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 1.0282E+04 3.5788E+12 3.5788E+12

276.64 2.4557 1.5273 -3.0542E+07 -1.8980E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 9406.7 3.5788E+12 3.5788E+12

287.28 2.3972 1.4909 -2.7482E+07 -1.7078E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 8530.8 3.5788E+12 3.5788E+12

297.92 2.3380 1.4541 -2.4421E+07 -1.5174E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 7654.5 3.5788E+12 3.5788E+12

308.56 2.2779 1.4167 -2.1358E+07 -1.3270E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 6777.7 3.5788E+12 3.5788E+12

319.20 2.2172 1.3789 -1.8294E+07 -1.1365E+07 2.7724E+05 1.7239E+05 0.0000 0.0000 5900.6 3.5788E+12 3.5788E+12

329.84 2.1559 1.3408 -1.5229E+07 -9.4589E+06 2.7724E+05 1.7239E+05 0.0000 0.0000 5023.2 3.5788E+12 3.5788E+12

340.48 2.0941 1.3024 -1.2163E+07 -7.5524E+06 2.7724E+05 1.7239E+05 0.0000 0.0000 4145.5 3.5788E+12 3.5788E+12

351.12 2.0319 1.2637 -9.0963E+06 -5.6455E+06 2.7724E+05 1.7239E+05 0.0000 0.0000 3267.6 3.5788E+12 3.5788E+12

361.76 1.9694 1.2248 -6.0291E+06 -3.7383E+06 2.7724E+05 1.7239E+05 0.0000 0.0000 2389.6 3.5788E+12 3.5788E+12

372.40 1.9068 1.1859 -2.9614E+06 -1.8308E+06 2.7718E+05 1.7235E+05 10.782 6.7053 1511.4 3.5788E+12 3.5788E+12

383.04 1.8440 1.1468 1.0512E+05 7.5991E+04 2.7675E+05 1.7208E+05 70.822 44.046 696.55 3.5788E+12 3.5788E+12

393.68 1.7813 1.1078 3.1637E+06 1.9778E+06 2.7556E+05 1.7134E+05 152.81 95.035 1572.0 3.5788E+12 3.5788E+12

404.32 1.7186 1.0688 6.2047E+06 3.8688E+06 2.7337E+05 1.6998E+05 257.52 160.16 2442.5 3.5788E+12 3.5788E+12

414.96 1.6562 1.0300 9.2162E+06 5.7413E+06 2.6997E+05 1.6786E+05 383.43 238.46 3304.6 3.5788E+12 3.5788E+12

425.60 1.5940 0.9913 1.2184E+07 7.5866E+06 2.6509E+05 1.6483E+05 533.52 331.80 4154.1 3.5788E+12 3.5788E+12

436.24 1.5322 0.9529 1.5090E+07 9.3938E+06 2.5789E+05 1.6035E+05 821.60 510.96 4985.4 3.5788E+12 3.5788E+12

446.88 1.4709 0.9148 1.7903E+07 1.1143E+07 2.4903E+05 1.5484E+05 846.33 526.34 5789.8 3.5788E+12 3.5788E+12

457.52 1.4102 0.8770 2.0618E+07 1.2831E+07 2.3991E+05 1.4917E+05 869.97 541.04 6566.6 3.5788E+12 3.5788E+12

468.16 1.3501 0.8396 2.3234E+07 1.4458E+07 2.3054E+05 1.4334E+05 892.60 555.11 7314.8 3.5788E+12 3.5788E+12

478.80 1.2908 0.8027 2.5748E+07 1.6021E+07 2.2094E+05 1.3737E+05 914.21 568.55 8033.6 3.5788E+12 3.5788E+12

489.44 1.2322 0.7663 2.8156E+07 1.7518E+07 2.1111E+05 1.3126E+05 934.83 581.37 8722.4 3.5788E+12 3.5788E+12

500.08 1.1746 0.7305 3.0457E+07 1.8949E+07 2.0107E+05 1.2502E+05 954.44 593.56 9380.5 3.5788E+12 3.5788E+12

510.72 1.1179 0.6952 3.2649E+07 2.0311E+07 1.9083E+05 1.1865E+05 973.03 605.13 1.0007E+04 3.5788E+12 3.5788E+12

521.36 1.0623 0.6606 3.4728E+07 2.1604E+07 1.8039E+05 1.1216E+05 990.60 616.05 1.0602E+04 3.5788E+12 3.5788E+12

532.00 1.0077 0.6267 3.6693E+07 2.2826E+07 1.6977E+05 1.0555E+05 1007.1 626.33 1.1163E+04 3.5788E+12 3.5788E+12

542.64 0.9544 0.5935 3.8541E+07 2.3975E+07 1.5898E+05 9.8842E+04 1022.6 635.94 1.1692E+04 3.5788E+12 3.5788E+12

553.28 0.9022 0.5611 4.0272E+07 2.5051E+07 1.4803E+05 9.2033E+04 1037.0 644.89 1.2187E+04 3.5788E+12 3.5788E+12

563.92 0.8513 0.5294 4.1883E+07 2.6053E+07 1.3694E+05 8.5133E+04 1050.3 653.15 1.2647E+04 3.5788E+12 3.5788E+12

574.56 0.8017 0.4986 4.3372E+07 2.6979E+07 1.2570E+05 7.8148E+04 1062.4 660.72 1.3073E+04 3.5788E+12 3.5788E+12

585.20 0.7535 0.4686 4.4739E+07 2.7828E+07 1.1435E+05 7.1086E+04 1073.5 667.58 1.3464E+04 3.5788E+12 3.5788E+12

595.84 0.7068 0.4395 4.5982E+07 2.8601E+07 1.0288E+05 6.3955E+04 1083.3 673.71 1.3819E+04 3.5788E+12 3.5788E+12

606.48 0.6614 0.4113 4.7099E+07 2.9295E+07 9.1317E+04 5.6763E+04 1092.0 679.10 1.4138E+04 3.5788E+12 3.5788E+12

617.12 0.6176 0.3841 4.8090E+07 2.9911E+07 7.9665E+04 4.9517E+04 1099.5 683.74 1.4421E+04 3.5788E+12 3.5788E+12

627.76 0.5753 0.3578 4.8953E+07 3.0448E+07 6.7939E+04 4.2225E+04 1105.7 687.61 1.4668E+04 3.5788E+12 3.5788E+12

638.40 0.5345 0.3324 4.9689E+07 3.0905E+07 5.6154E+04 3.4896E+04 1110.7 690.69 1.4878E+04 3.5788E+12 3.5788E+12

649.04 0.4953 0.3080 5.0296E+07 3.1282E+07 4.4323E+04 2.7539E+04 1114.3 692.97 1.5051E+04 3.5788E+12 3.5788E+12

659.68 0.4577 0.2847 5.0774E+07 3.1579E+07 3.2460E+04 2.0161E+04 1116.7 694.43 1.5187E+04 3.5788E+12 3.5788E+12

670.32 0.4218 0.2623 5.1122E+07 3.1796E+07 2.0578E+04 1.2772E+04 1117.7 695.06 1.5286E+04 3.5788E+12 3.5788E+12

680.96 0.3874 0.2409 5.1341E+07 3.1932E+07 8692.3 5381.2 1117.3 694.83 1.5348E+04 3.5788E+12 3.5788E+12

691.60 0.3546 0.2205 5.1431E+07 3.1987E+07 -3182.1 -2003.1 1115.6 693.72 1.5373E+04 3.5788E+12 3.5788E+12

702.24 0.3235 0.2012 5.1391E+07 3.1962E+07 -1.5030E+04 -9370.9 1112.4 691.73 1.5361E+04 3.5788E+12 3.5788E+12

712.88 0.2940 0.1828 5.1222E+07 3.1857E+07 -2.6837E+04 -1.6713E+04 1107.7 688.81 1.5313E+04 3.5788E+12 3.5788E+12

723.52 0.2661 0.1655 5.0925E+07 3.1672E+07 -3.8586E+04 -2.4019E+04 1101.5 684.96 1.5227E+04 3.5788E+12 3.5788E+12

734.16 0.2398 0.1491 5.0500E+07 3.1407E+07 -5.0261E+04 -3.1279E+04 1093.8 680.15 1.5105E+04 3.5788E+12 3.5788E+12

744.80 0.2152 0.1338 4.9949E+07 3.1064E+07 -6.1846E+04 -3.8483E+04 1084.5 674.36 1.4946E+04 3.5788E+12 3.5788E+12

755.44 0.1921 0.1194 4.9271E+07 3.0643E+07 -7.3323E+04 -4.5620E+04 1073.5 667.56 1.4752E+04 3.5788E+12 3.5788E+12

766.08 0.1706 0.1061 4.8470E+07 3.0144E+07 -8.4676E+04 -5.2680E+04 1060.9 659.73 1.4522E+04 3.5788E+12 3.5788E+12

776.72 0.1506 9.3619E-02 4.7545E+07 2.9569E+07 -9.5886E+04 -5.9650E+04 1046.6 650.83 1.4257E+04 3.5788E+12 3.5788E+12

787.36 0.1321 8.2117E-02 4.6500E+07 2.8918E+07 -1.0693E+05 -6.6521E+04 1030.6 640.84 1.3957E+04 3.5788E+12 3.5788E+12

798.00 0.1150 7.1530E-02 4.5335E+07 2.8194E+07 -1.1780E+05 -7.3279E+04 1012.7 629.72 1.3623E+04 3.5788E+12 3.5788E+12

808.64 9.9442E-02 6.1835E-02 4.4052E+07 2.7396E+07 -1.2847E+05 -7.9912E+04 992.96 617.44 1.3255E+04 3.5788E+12 3.5788E+12

Page 89: Willis Avenue Bridge – Pivot Pier

88

819.28 8.5245E-02 5.3007E-02 4.2655E+07 2.6527E+07 -1.3892E+05 -8.6409E+04 971.30 603.97 1.2855E+04 3.5788E+12 3.5788E+12

829.92 7.2398E-02 4.5017E-02 4.1145E+07 2.5588E+07 -1.4913E+05 -9.2756E+04 947.65 589.26 1.2422E+04 3.5788E+12 3.5788E+12

840.56 6.0851E-02 3.7838E-02 3.9526E+07 2.4580E+07 -1.5907E+05 -9.8940E+04 921.94 573.27 1.1958E+04 3.5788E+12 3.5788E+12

851.20 5.0556E-02 3.1435E-02 3.7800E+07 2.3507E+07 -1.7179E+05 -1.0685E+05 1468.8 913.30 1.1464E+04 3.5788E+12 3.5788E+12

861.84 4.1456E-02 2.5777E-02 3.5906E+07 2.2329E+07 -1.8680E+05 -1.1618E+05 1353.1 841.33 1.0921E+04 3.5788E+12 3.5788E+12

872.48 3.3491E-02 2.0824E-02 3.3856E+07 2.1054E+07 -2.0005E+05 -1.2442E+05 1137.7 707.39 1.0334E+04 3.5788E+12 3.5788E+12

883.12 2.6598E-02 1.6538E-02 3.1675E+07 1.9698E+07 -2.1110E+05 -1.3129E+05 938.90 583.78 9709.6 3.5788E+12 3.5788E+12

893.76 2.0707E-02 1.2875E-02 2.9387E+07 1.8274E+07 -2.2013E+05 -1.3690E+05 758.48 471.59 9054.1 3.5788E+12 3.5788E+12

904.40 1.5745E-02 9.7898E-03 2.7011E+07 1.6797E+07 -2.2734E+05 -1.4139E+05 597.68 371.61 8373.7 3.5788E+12 3.5788E+12

915.04 1.1638E-02 7.2360E-03 2.4565E+07 1.5276E+07 -2.3295E+05 -1.4488E+05 457.26 284.29 7673.4 3.5788E+12 3.5788E+12

925.68 8.3083E-03 5.1654E-03 2.2067E+07 1.3722E+07 -2.3718E+05 -1.4751E+05 337.48 209.82 6957.9 3.5788E+12 3.5788E+12

936.32 5.6763E-03 3.5290E-03 1.9529E+07 1.2144E+07 -2.4024E+05 -1.4941E+05 238.12 148.04 6231.1 3.5788E+12 3.5788E+12

946.96 3.6621E-03 2.2766E-03 1.6963E+07 1.0548E+07 -2.4235E+05 -1.5072E+05 158.49 98.531 5496.3 3.5788E+12 3.5788E+12

957.60 2.1845E-03 1.3580E-03 1.4378E+07 8.9402E+06 -2.4371E+05 -1.5157E+05 97.450 60.579 4756.1 3.5788E+12 3.5788E+12

968.24 1.1617E-03 7.2214E-04 1.1781E+07 7.3252E+06 -2.4452E+05 -1.5207E+05 53.370 33.175 4012.5 3.5788E+12 3.5788E+12

978.88 5.1166E-04 3.1802E-04 9.1778E+06 5.7061E+06 -2.4493E+05 -1.5232E+05 24.186 15.033 3266.9 3.5788E+12 3.5788E+12

989.52 1.5190E-04 9.4402E-05 6.5710E+06 4.0849E+06 -2.4510E+05 -1.5243E+05 7.3822 4.5878 2520.5 3.5788E+12 3.5788E+12

1000.2 3.2706E-09 1.9818E-09 3.9630E+06 2.4629E+06 -2.4855E+05 -1.5452E+05 643.04 389.63 1695.4 3.5788E+12 3.5788E+12

1010.8 -2.6527E-05 -1.6486E-05 1.2821E+06 7.9677E+05 -1.8997E+05 -1.1806E+05 -1.1655E+04 -7243.3 851.22 3.5788E+12 3.5788E+12

1021.4 -1.2501E-05 -7.7691E-06 -7.9503E+04 -4.9409E+04 -7.5805E+04 -4.7111E+04 -9804.7 -6093.4 431.18 3.5788E+12 3.5788E+12

1032.1 -9.8995E-07 -6.1523E-07 -3.3109E+05 -2.0576E+05 2125.0 1320.7 -4843.9 -3010.4 428.14 3.5788E+12 3.5788E+12

1042.7 4.7613E-08 2.9590E-08 -3.4293E+04 -2.1312E+04 1.5628E+04 9712.7 2305.6 1432.9 268.77 3.5788E+12 3.5788E+12

1053.4 3.5012E-10 2.1759E-10 1483.0 921.65 1611.5 1001.5 329.12 204.54 185.43 3.5788E+12 3.5788E+12

1064.0 -5.5375E-14 -3.4415E-14 4.8039E-16 4.7002E-16 -7.8850E-15 4.1742E-15 -26.199 -16.282 111.37 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 21

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

3.0236E-02 3.4136 2.0821 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

1.5752E+06 2.8268E+05 1.7233E+05 8.4490E+05 -6.7441E+07 1.1064E+08

STR,LBS/IN**2

3.2057E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

3.0236E-02 3.4136 2.0821 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

1.5752E+06 2.8268E+05 1.7233E+05 8.4490E+05 -6.7441E+07 1.1064E+08

STR,LBS/IN**2

Page 90: Willis Avenue Bridge – Pivot Pier

89

3.2057E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.4136 2.0821 -1.1064E+08 -6.7441E+07 2.8272E+05 1.7236E+05 0.0000 0.0000 3.2057E+04 3.5788E+12 3.5788E+12

10.640 3.4115 2.0807 -1.0764E+08 -6.5606E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 3.1201E+04 3.5788E+12 3.5788E+12

21.280 3.4059 2.0773 -1.0462E+08 -6.3769E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 3.0343E+04 3.5788E+12 3.5788E+12

31.920 3.3971 2.0719 -1.0160E+08 -6.1928E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 2.9483E+04 3.5788E+12 3.5788E+12

42.560 3.3850 2.0645 -9.8577E+07 -6.0084E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 2.8622E+04 3.5788E+12 3.5788E+12

53.200 3.3698 2.0552 -9.5548E+07 -5.8237E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 2.7759E+04 3.5788E+12 3.5788E+12

63.840 3.3516 2.0441 -9.2514E+07 -5.6388E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 2.6896E+04 3.5788E+12 3.5788E+12

74.480 3.3305 2.0312 -8.9475E+07 -5.4535E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 2.6030E+04 3.5788E+12 3.5788E+12

85.120 3.3065 2.0166 -8.6432E+07 -5.2680E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 2.5164E+04 3.5788E+12 3.5788E+12

95.760 3.2798 2.0003 -8.3385E+07 -5.0822E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 2.4296E+04 3.5788E+12 3.5788E+12

106.40 3.2505 1.9824 -8.0333E+07 -4.8962E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 2.3427E+04 3.5788E+12 3.5788E+12

117.04 3.2186 1.9629 -7.7277E+07 -4.7099E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 2.2558E+04 3.5788E+12 3.5788E+12

127.68 3.1843 1.9420 -7.4218E+07 -4.5234E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 2.1686E+04 3.5788E+12 3.5788E+12

138.32 3.1476 1.9196 -7.1155E+07 -4.3366E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 2.0814E+04 3.5788E+12 3.5788E+12

148.96 3.1087 1.8958 -6.8088E+07 -4.1497E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 1.9941E+04 3.5788E+12 3.5788E+12

159.60 3.0676 1.8708 -6.5018E+07 -3.9625E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 1.9067E+04 3.5788E+12 3.5788E+12

170.24 3.0245 1.8445 -6.1945E+07 -3.7751E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 1.8192E+04 3.5788E+12 3.5788E+12

180.88 2.9794 1.8170 -5.8868E+07 -3.5876E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 1.7316E+04 3.5788E+12 3.5788E+12

191.52 2.9325 1.7883 -5.5789E+07 -3.3999E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 1.6439E+04 3.5788E+12 3.5788E+12

202.16 2.8837 1.7586 -5.2707E+07 -3.2119E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 1.5562E+04 3.5788E+12 3.5788E+12

212.80 2.8334 1.7279 -4.9622E+07 -3.0239E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 1.4684E+04 3.5788E+12 3.5788E+12

223.44 2.7814 1.6962 -4.6535E+07 -2.8357E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 1.3805E+04 3.5788E+12 3.5788E+12

234.08 2.7280 1.6636 -4.3445E+07 -2.6473E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 1.2925E+04 3.5788E+12 3.5788E+12

244.72 2.6732 1.6301 -4.0353E+07 -2.4588E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 1.2045E+04 3.5788E+12 3.5788E+12

255.36 2.6171 1.5959 -3.7260E+07 -2.2702E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 1.1164E+04 3.5788E+12 3.5788E+12

266.00 2.5598 1.5610 -3.4164E+07 -2.0815E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 1.0283E+04 3.5788E+12 3.5788E+12

276.64 2.5015 1.5254 -3.1067E+07 -1.8927E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 9400.7 3.5788E+12 3.5788E+12

287.28 2.4422 1.4893 -2.7968E+07 -1.7038E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 8518.4 3.5788E+12 3.5788E+12

297.92 2.3820 1.4525 -2.4868E+07 -1.5148E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 7635.8 3.5788E+12 3.5788E+12

308.56 2.3210 1.4153 -2.1766E+07 -1.3257E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 6752.7 3.5788E+12 3.5788E+12

319.20 2.2593 1.3777 -1.8664E+07 -1.1365E+07 2.8246E+05 1.7220E+05 0.0000 0.0000 5869.4 3.5788E+12 3.5788E+12

329.84 2.1971 1.3397 -1.5560E+07 -9.4734E+06 2.8246E+05 1.7220E+05 0.0000 0.0000 4985.8 3.5788E+12 3.5788E+12

340.48 2.1343 1.3015 -1.2456E+07 -7.5810E+06 2.8246E+05 1.7220E+05 0.0000 0.0000 4102.0 3.5788E+12 3.5788E+12

351.12 2.0711 1.2629 -9.3511E+06 -5.6881E+06 2.8246E+05 1.7220E+05 0.0000 0.0000 3218.0 3.5788E+12 3.5788E+12

361.76 2.0077 1.2243 -6.2458E+06 -3.7949E+06 2.8246E+05 1.7220E+05 0.0000 0.0000 2333.8 3.5788E+12 3.5788E+12

372.40 1.9440 1.1854 -3.1401E+06 -1.9016E+06 2.8240E+05 1.7216E+05 10.852 6.6171 1449.6 3.5788E+12 3.5788E+12

383.04 1.8803 1.1466 -3.5541E+04 -8934.6 2.8197E+05 1.7190E+05 71.671 43.703 566.07 3.5788E+12 3.5788E+12

393.68 1.8165 1.1077 3.0609E+06 1.8788E+06 2.8076E+05 1.7116E+05 154.54 94.236 1430.2 3.5788E+12 3.5788E+12

404.32 1.7529 1.0689 6.1397E+06 3.7558E+06 2.7856E+05 1.6982E+05 260.34 158.75 2306.8 3.5788E+12 3.5788E+12

414.96 1.6894 1.0302 9.1888E+06 5.6146E+06 2.7511E+05 1.6771E+05 387.60 236.35 3174.9 3.5788E+12 3.5788E+12

425.60 1.6263 0.9916 1.2193E+07 7.4464E+06 2.7018E+05 1.6471E+05 539.27 328.83 4030.3 3.5788E+12 3.5788E+12

436.24 1.5635 0.9534 1.5137E+07 9.2405E+06 2.6291E+05 1.6028E+05 829.13 505.57 4867.7 3.5788E+12 3.5788E+12

446.88 1.5012 0.9154 1.7985E+07 1.0977E+07 2.5396E+05 1.5482E+05 854.11 520.80 5678.1 3.5788E+12 3.5788E+12

457.52 1.4394 0.8777 2.0736E+07 1.2654E+07 2.4476E+05 1.4921E+05 878.01 535.38 6460.7 3.5788E+12 3.5788E+12

468.16 1.3784 0.8405 2.3386E+07 1.4270E+07 2.3530E+05 1.4344E+05 900.89 549.32 7214.8 3.5788E+12 3.5788E+12

478.80 1.3180 0.8037 2.5933E+07 1.5823E+07 2.2561E+05 1.3753E+05 922.74 562.65 7939.5 3.5788E+12 3.5788E+12

489.44 1.2585 0.7674 2.8375E+07 1.7311E+07 2.1569E+05 1.3148E+05 943.60 575.36 8634.0 3.5788E+12 3.5788E+12

500.08 1.1999 0.7316 3.0708E+07 1.8733E+07 2.0555E+05 1.2530E+05 963.44 587.46 9297.8 3.5788E+12 3.5788E+12

510.72 1.1422 0.6965 3.2931E+07 2.0088E+07 1.9521E+05 1.1900E+05 982.27 598.94 9930.1 3.5788E+12 3.5788E+12

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90

521.36 1.0856 0.6620 3.5041E+07 2.1374E+07 1.8467E+05 1.1257E+05 1000.1 609.78 1.0530E+04 3.5788E+12 3.5788E+12

532.00 1.0301 0.6281 3.7036E+07 2.2590E+07 1.7395E+05 1.0603E+05 1016.8 619.99 1.1098E+04 3.5788E+12 3.5788E+12

542.64 0.9758 0.5950 3.8914E+07 2.3735E+07 1.6305E+05 9.9389E+04 1032.5 629.55 1.1632E+04 3.5788E+12 3.5788E+12

553.28 0.9227 0.5626 4.0673E+07 2.4807E+07 1.5200E+05 9.2648E+04 1047.1 638.45 1.2132E+04 3.5788E+12 3.5788E+12

563.92 0.8709 0.5310 4.2312E+07 2.5806E+07 1.4079E+05 8.5815E+04 1060.6 646.67 1.2598E+04 3.5788E+12 3.5788E+12

574.56 0.8204 0.5002 4.3828E+07 2.6731E+07 1.2945E+05 7.8898E+04 1072.9 654.21 1.3029E+04 3.5788E+12 3.5788E+12

585.20 0.7714 0.4703 4.5221E+07 2.7580E+07 1.1798E+05 7.1905E+04 1084.2 661.05 1.3425E+04 3.5788E+12 3.5788E+12

595.84 0.7237 0.4413 4.6489E+07 2.8352E+07 1.0640E+05 6.4843E+04 1094.2 667.17 1.3786E+04 3.5788E+12 3.5788E+12

606.48 0.6775 0.4131 4.7630E+07 2.9048E+07 9.4713E+04 5.7719E+04 1103.1 672.57 1.4110E+04 3.5788E+12 3.5788E+12

617.12 0.6328 0.3859 4.8645E+07 2.9666E+07 8.2942E+04 5.0542E+04 1110.7 677.22 1.4399E+04 3.5788E+12 3.5788E+12

627.76 0.5897 0.3596 4.9531E+07 3.0207E+07 7.1095E+04 4.3319E+04 1117.1 681.11 1.4651E+04 3.5788E+12 3.5788E+12

638.40 0.5481 0.3342 5.0289E+07 3.0668E+07 5.9187E+04 3.6058E+04 1122.2 684.23 1.4866E+04 3.5788E+12 3.5788E+12

649.04 0.5081 0.3098 5.0917E+07 3.1051E+07 4.7232E+04 2.8769E+04 1126.0 686.56 1.5044E+04 3.5788E+12 3.5788E+12

659.68 0.4698 0.2864 5.1415E+07 3.1354E+07 3.5242E+04 2.1458E+04 1128.5 688.09 1.5185E+04 3.5788E+12 3.5788E+12

670.32 0.4330 0.2640 5.1783E+07 3.1578E+07 2.3233E+04 1.4136E+04 1129.7 688.78 1.5290E+04 3.5788E+12 3.5788E+12

680.96 0.3979 0.2426 5.2020E+07 3.1722E+07 1.1218E+04 6810.9 1129.5 688.64 1.5357E+04 3.5788E+12 3.5788E+12

691.60 0.3645 0.2222 5.2127E+07 3.1787E+07 -786.54 -508.46 1127.8 687.63 1.5387E+04 3.5788E+12 3.5788E+12

702.24 0.3327 0.2028 5.2104E+07 3.1773E+07 -1.2766E+04 -7812.5 1124.7 685.74 1.5380E+04 3.5788E+12 3.5788E+12

712.88 0.3025 0.1844 5.1951E+07 3.1679E+07 -2.4706E+04 -1.5092E+04 1120.2 682.95 1.5336E+04 3.5788E+12 3.5788E+12

723.52 0.2740 0.1670 5.1668E+07 3.1507E+07 -3.6588E+04 -2.2337E+04 1114.1 679.24 1.5255E+04 3.5788E+12 3.5788E+12

734.16 0.2471 0.1507 5.1257E+07 3.1256E+07 -4.8398E+04 -2.9537E+04 1106.4 674.58 1.5137E+04 3.5788E+12 3.5788E+12

744.80 0.2218 0.1353 5.0718E+07 3.0927E+07 -6.0119E+04 -3.6683E+04 1097.2 668.95 1.4983E+04 3.5788E+12 3.5788E+12

755.44 0.1982 0.1208 5.0053E+07 3.0521E+07 -7.1733E+04 -4.3764E+04 1086.4 662.33 1.4793E+04 3.5788E+12 3.5788E+12

766.08 0.1761 0.1074 4.9262E+07 3.0038E+07 -8.3223E+04 -5.0769E+04 1073.8 654.69 1.4568E+04 3.5788E+12 3.5788E+12

776.72 0.1556 9.4857E-02 4.8347E+07 2.9480E+07 -9.4570E+04 -5.7687E+04 1059.6 646.00 1.4307E+04 3.5788E+12 3.5788E+12

787.36 0.1366 8.3281E-02 4.7310E+07 2.8848E+07 -1.0576E+05 -6.4508E+04 1043.6 636.23 1.4011E+04 3.5788E+12 3.5788E+12

798.00 0.1191 7.2617E-02 4.6152E+07 2.8141E+07 -1.1676E+05 -7.1218E+04 1025.7 625.35 1.3681E+04 3.5788E+12 3.5788E+12

808.64 0.1031 6.2843E-02 4.4876E+07 2.7363E+07 -1.2757E+05 -7.7807E+04 1006.0 613.32 1.3317E+04 3.5788E+12 3.5788E+12

819.28 8.8468E-02 5.3935E-02 4.3484E+07 2.6514E+07 -1.3816E+05 -8.4261E+04 984.35 600.11 1.2921E+04 3.5788E+12 3.5788E+12

829.92 7.5233E-02 4.5865E-02 4.1979E+07 2.5596E+07 -1.4850E+05 -9.0569E+04 960.70 585.69 1.2492E+04 3.5788E+12 3.5788E+12

840.56 6.3325E-02 3.8606E-02 4.0363E+07 2.4610E+07 -1.5859E+05 -9.6717E+04 934.97 570.00 1.2031E+04 3.5788E+12 3.5788E+12

851.20 5.2695E-02 3.2124E-02 3.8638E+07 2.3559E+07 -1.7156E+05 -1.0463E+05 1503.9 916.80 1.1540E+04 3.5788E+12 3.5788E+12

861.84 4.3286E-02 2.6388E-02 3.6742E+07 2.2402E+07 -1.8708E+05 -1.1408E+05 1412.8 861.29 1.1000E+04 3.5788E+12 3.5788E+12

872.48 3.5040E-02 2.1361E-02 3.4684E+07 2.1147E+07 -2.0093E+05 -1.2253E+05 1190.3 725.61 1.0413E+04 3.5788E+12 3.5788E+12

883.12 2.7891E-02 1.7003E-02 3.2490E+07 1.9809E+07 -2.1250E+05 -1.2958E+05 984.53 600.18 9788.3 3.5788E+12 3.5788E+12

893.76 2.1770E-02 1.3271E-02 3.0182E+07 1.8402E+07 -2.2198E+05 -1.3536E+05 797.42 486.10 9131.1 3.5788E+12 3.5788E+12

904.40 1.6604E-02 1.0121E-02 2.7783E+07 1.6939E+07 -2.2957E+05 -1.3999E+05 630.26 384.19 8447.8 3.5788E+12 3.5788E+12

915.04 1.2316E-02 7.5075E-03 2.5312E+07 1.5432E+07 -2.3550E+05 -1.4360E+05 483.89 294.96 7743.9 3.5788E+12 3.5788E+12

925.68 8.8294E-03 5.3819E-03 2.2784E+07 1.3891E+07 -2.3998E+05 -1.4633E+05 358.64 218.61 7023.9 3.5788E+12 3.5788E+12

936.32 6.0634E-03 3.6958E-03 2.0214E+07 1.2324E+07 -2.4324E+05 -1.4832E+05 254.35 155.03 6292.1 3.5788E+12 3.5788E+12

946.96 3.9368E-03 2.3995E-03 1.7615E+07 1.0739E+07 -2.4550E+05 -1.4970E+05 170.38 103.85 5551.9 3.5788E+12 3.5788E+12

957.60 2.3675E-03 1.4429E-03 1.4996E+07 9.1418E+06 -2.4697E+05 -1.5059E+05 105.61 64.366 4805.9 3.5788E+12 3.5788E+12

968.24 1.2725E-03 7.7548E-04 1.2364E+07 7.5368E+06 -2.4784E+05 -1.5113E+05 58.457 35.625 4056.3 3.5788E+12 3.5788E+12

978.88 5.6862E-04 3.4649E-04 9.7244E+06 5.9275E+06 -2.4829E+05 -1.5140E+05 26.878 16.378 3304.6 3.5788E+12 3.5788E+12

989.52 1.7236E-04 1.0502E-04 7.0816E+06 4.3160E+06 -2.4848E+05 -1.5152E+05 8.3765 5.1037 2552.0 3.5788E+12 3.5788E+12

1000.2 1.1837E-07 7.1623E-08 4.4375E+06 2.7038E+06 -2.6222E+05 -1.5983E+05 2574.2 1557.5 1733.8 3.5788E+12 3.5788E+12

1010.8 -3.1747E-05 -1.9344E-05 1.5018E+06 9.1506E+05 -2.1058E+05 -1.2830E+05 -1.2281E+04 -7483.1 833.68 3.5788E+12 3.5788E+12

1021.4 -1.6104E-05 -9.8119E-06 -4.3503E+04 -2.6510E+04 -8.8975E+04 -5.4212E+04 -1.0576E+04 -6443.9 354.93 3.5788E+12 3.5788E+12

1032.1 -1.8364E-06 -1.1189E-06 -3.9156E+05 -2.3858E+05 -813.15 -495.25 -5995.9 -3653.2 391.07 3.5788E+12 3.5788E+12

1042.7 4.4381E-08 2.7042E-08 -6.0819E+04 -3.7057E+04 1.8463E+04 1.1249E+04 2372.6 1445.6 234.50 3.5788E+12 3.5788E+12

1053.4 1.2247E-09 7.4622E-10 1325.5 807.66 2858.1 1741.4 560.65 341.60 155.54 3.5788E+12 3.5788E+12

1064.0 -2.3337E-14 -1.4219E-14 -1.2768E-15 -2.5791E-15 -6.9935E-15 8.1072E-16 -23.418 -14.268 93.407 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 22

Page 92: Willis Avenue Bridge – Pivot Pier

91

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

1.7621E-02 3.5560 2.0821 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

9.1790E+05 2.9472E+05 1.7245E+05 8.4490E+05 -6.7092E+07 1.1469E+08

STR,LBS/IN**2

3.2626E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

1.7621E-02 3.5560 2.0821 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

9.1790E+05 2.9472E+05 1.7245E+05 8.4490E+05 -6.7092E+07 1.1469E+08

STR,LBS/IN**2

3.2626E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.5560 2.0821 -1.1469E+08 -6.7092E+07 2.9474E+05 1.7246E+05 0.0000 0.0000 3.2626E+04 3.5788E+12 3.5788E+12

10.640 3.5538 2.0807 -1.1155E+08 -6.5257E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 3.1742E+04 3.5788E+12 3.5788E+12

21.280 3.5480 2.0774 -1.0841E+08 -6.3419E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 3.0858E+04 3.5788E+12 3.5788E+12

31.920 3.5389 2.0720 -1.0527E+08 -6.1581E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 2.9973E+04 3.5788E+12 3.5788E+12

42.560 3.5264 2.0646 -1.0212E+08 -5.9740E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 2.9087E+04 3.5788E+12 3.5788E+12

53.200 3.5107 2.0554 -9.8976E+07 -5.7897E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 2.8200E+04 3.5788E+12 3.5788E+12

63.840 3.4918 2.0443 -9.5824E+07 -5.6053E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 2.7312E+04 3.5788E+12 3.5788E+12

74.480 3.4699 2.0315 -9.2669E+07 -5.4207E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 2.6424E+04 3.5788E+12 3.5788E+12

85.120 3.4451 2.0169 -8.9512E+07 -5.2360E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 2.5535E+04 3.5788E+12 3.5788E+12

95.760 3.4175 2.0007 -8.6353E+07 -5.0511E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 2.4645E+04 3.5788E+12 3.5788E+12

106.40 3.3871 1.9829 -8.3190E+07 -4.8661E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 2.3754E+04 3.5788E+12 3.5788E+12

117.04 3.3541 1.9636 -8.0026E+07 -4.6809E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 2.2863E+04 3.5788E+12 3.5788E+12

127.68 3.3186 1.9427 -7.6859E+07 -4.4956E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 2.1971E+04 3.5788E+12 3.5788E+12

138.32 3.2806 1.9205 -7.3689E+07 -4.3101E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 2.1078E+04 3.5788E+12 3.5788E+12

148.96 3.2403 1.8969 -7.0518E+07 -4.1246E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 2.0185E+04 3.5788E+12 3.5788E+12

159.60 3.1978 1.8720 -6.7345E+07 -3.9389E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 1.9291E+04 3.5788E+12 3.5788E+12

170.24 3.1531 1.8458 -6.4169E+07 -3.7531E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 1.8396E+04 3.5788E+12 3.5788E+12

180.88 3.1064 1.8185 -6.0992E+07 -3.5672E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 1.7502E+04 3.5788E+12 3.5788E+12

191.52 3.0578 1.7900 -5.7813E+07 -3.3811E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 1.6606E+04 3.5788E+12 3.5788E+12

202.16 3.0073 1.7604 -5.4632E+07 -3.1950E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 1.5710E+04 3.5788E+12 3.5788E+12

212.80 2.9551 1.7299 -5.1450E+07 -3.0088E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 1.4814E+04 3.5788E+12 3.5788E+12

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92

223.44 2.9013 1.6984 -4.8266E+07 -2.8225E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 1.3917E+04 3.5788E+12 3.5788E+12

234.08 2.8460 1.6660 -4.5081E+07 -2.6362E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 1.3020E+04 3.5788E+12 3.5788E+12

244.72 2.7892 1.6327 -4.1895E+07 -2.4497E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 1.2123E+04 3.5788E+12 3.5788E+12

255.36 2.7312 1.5987 -3.8707E+07 -2.2632E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 1.1225E+04 3.5788E+12 3.5788E+12

266.00 2.6719 1.5640 -3.5518E+07 -2.0766E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 1.0327E+04 3.5788E+12 3.5788E+12

276.64 2.6114 1.5286 -3.2328E+07 -1.8899E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 9428.1 3.5788E+12 3.5788E+12

287.28 2.5500 1.4926 -2.9137E+07 -1.7032E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 8529.4 3.5788E+12 3.5788E+12

297.92 2.4876 1.4561 -2.5946E+07 -1.5165E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 7630.5 3.5788E+12 3.5788E+12

308.56 2.4244 1.4191 -2.2753E+07 -1.3297E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 6731.3 3.5788E+12 3.5788E+12

319.20 2.3605 1.3817 -1.9560E+07 -1.1428E+07 2.9458E+05 1.7237E+05 0.0000 0.0000 5831.9 3.5788E+12 3.5788E+12

329.84 2.2959 1.3439 -1.6367E+07 -9.5598E+06 2.9458E+05 1.7237E+05 0.0000 0.0000 4932.4 3.5788E+12 3.5788E+12

340.48 2.2309 1.3058 -1.3173E+07 -7.6908E+06 2.9458E+05 1.7237E+05 0.0000 0.0000 4032.8 3.5788E+12 3.5788E+12

351.12 2.1654 1.2675 -9.9781E+06 -5.8216E+06 2.9458E+05 1.7237E+05 0.0000 0.0000 3133.0 3.5788E+12 3.5788E+12

361.76 2.0996 1.2289 -6.7833E+06 -3.9522E+06 2.9458E+05 1.7237E+05 0.0000 0.0000 2233.2 3.5788E+12 3.5788E+12

372.40 2.0336 1.1903 -3.5884E+06 -2.0828E+06 2.9453E+05 1.7234E+05 10.969 6.4204 1333.3 3.5788E+12 3.5788E+12

383.04 1.9675 1.1516 -3.9453E+05 -2.1394E+05 2.9408E+05 1.7207E+05 73.174 42.830 433.78 3.5788E+12 3.5788E+12

393.68 1.9014 1.1129 2.7910E+06 1.6500E+06 2.9285E+05 1.7135E+05 158.51 92.779 1112.9 3.5788E+12 3.5788E+12

404.32 1.8353 1.0742 5.9585E+06 3.5035E+06 2.9058E+05 1.7003E+05 266.78 156.15 2005.0 3.5788E+12 3.5788E+12

414.96 1.7695 1.0357 9.0957E+06 5.3391E+06 2.8705E+05 1.6796E+05 397.11 232.43 2888.6 3.5788E+12 3.5788E+12

425.60 1.7039 0.9973 1.2188E+07 7.1483E+06 2.8200E+05 1.6500E+05 552.37 323.30 3759.5 3.5788E+12 3.5788E+12

436.24 1.6387 0.9592 1.5217E+07 8.9206E+06 2.7457E+05 1.6065E+05 845.73 495.00 4612.3 3.5788E+12 3.5788E+12

446.88 1.5741 0.9213 1.8150E+07 1.0637E+07 2.6544E+05 1.5531E+05 871.30 509.96 5438.0 3.5788E+12 3.5788E+12

457.52 1.5099 0.8837 2.0983E+07 1.2295E+07 2.5605E+05 1.4981E+05 895.77 524.28 6235.8 3.5788E+12 3.5788E+12

468.16 1.4465 0.8466 2.3715E+07 1.3893E+07 2.4639E+05 1.4416E+05 919.20 538.00 7004.9 3.5788E+12 3.5788E+12

478.80 1.3838 0.8099 2.6342E+07 1.5430E+07 2.3650E+05 1.3837E+05 941.61 551.11 7744.4 3.5788E+12 3.5788E+12

489.44 1.3219 0.7737 2.8861E+07 1.6904E+07 2.2637E+05 1.3245E+05 963.00 563.62 8453.8 3.5788E+12 3.5788E+12

500.08 1.2609 0.7380 3.1271E+07 1.8314E+07 2.1602E+05 1.2639E+05 983.37 575.54 9132.1 3.5788E+12 3.5788E+12

510.72 1.2010 0.7029 3.3569E+07 1.9658E+07 2.0546E+05 1.2021E+05 1002.7 586.86 9778.9 3.5788E+12 3.5788E+12

521.36 1.1420 0.6684 3.5752E+07 2.0935E+07 1.9470E+05 1.1391E+05 1021.0 597.57 1.0393E+04 3.5788E+12 3.5788E+12

532.00 1.0843 0.6346 3.7818E+07 2.2144E+07 1.8375E+05 1.0750E+05 1038.3 607.66 1.0975E+04 3.5788E+12 3.5788E+12

542.64 1.0277 0.6015 3.9766E+07 2.3284E+07 1.7262E+05 1.0099E+05 1054.4 617.11 1.1523E+04 3.5788E+12 3.5788E+12

553.28 0.9724 0.5691 4.1593E+07 2.4353E+07 1.6133E+05 9.4377E+04 1069.5 625.93 1.2038E+04 3.5788E+12 3.5788E+12

563.92 0.9183 0.5375 4.3298E+07 2.5350E+07 1.4988E+05 8.7676E+04 1083.4 634.09 1.2518E+04 3.5788E+12 3.5788E+12

574.56 0.8657 0.5067 4.4879E+07 2.6275E+07 1.3829E+05 8.0892E+04 1096.3 641.59 1.2963E+04 3.5788E+12 3.5788E+12

585.20 0.8145 0.4767 4.6335E+07 2.7127E+07 1.2656E+05 7.4031E+04 1107.9 648.41 1.3372E+04 3.5788E+12 3.5788E+12

595.84 0.7647 0.4476 4.7664E+07 2.7904E+07 1.1472E+05 6.7102E+04 1118.4 654.53 1.3746E+04 3.5788E+12 3.5788E+12

606.48 0.7165 0.4193 4.8865E+07 2.8607E+07 1.0278E+05 6.0111E+04 1127.7 659.95 1.4084E+04 3.5788E+12 3.5788E+12

617.12 0.6698 0.3920 4.9937E+07 2.9233E+07 9.0741E+04 5.3066E+04 1135.7 664.65 1.4386E+04 3.5788E+12 3.5788E+12

627.76 0.6247 0.3656 5.0878E+07 2.9784E+07 7.8625E+04 4.5975E+04 1142.5 668.62 1.4651E+04 3.5788E+12 3.5788E+12

638.40 0.5812 0.3401 5.1690E+07 3.0259E+07 6.6443E+04 3.8846E+04 1148.0 671.83 1.4879E+04 3.5788E+12 3.5788E+12

649.04 0.5393 0.3156 5.2369E+07 3.0656E+07 5.4209E+04 3.1686E+04 1152.1 674.27 1.5070E+04 3.5788E+12 3.5788E+12

659.68 0.4991 0.2921 5.2917E+07 3.0976E+07 4.1938E+04 2.4505E+04 1155.0 675.94 1.5224E+04 3.5788E+12 3.5788E+12

670.32 0.4605 0.2695 5.3332E+07 3.1219E+07 2.9644E+04 1.7310E+04 1156.5 676.80 1.5341E+04 3.5788E+12 3.5788E+12

680.96 0.4237 0.2479 5.3616E+07 3.1384E+07 1.7341E+04 1.0110E+04 1156.6 676.84 1.5420E+04 3.5788E+12 3.5788E+12

691.60 0.3885 0.2274 5.3766E+07 3.1472E+07 5044.6 2914.1 1155.2 676.05 1.5462E+04 3.5788E+12 3.5788E+12

702.24 0.3550 0.2078 5.3784E+07 3.1482E+07 -7229.7 -4268.9 1152.4 674.40 1.5467E+04 3.5788E+12 3.5788E+12

712.88 0.3233 0.1892 5.3671E+07 3.1415E+07 -1.9466E+04 -1.1430E+04 1148.1 671.88 1.5435E+04 3.5788E+12 3.5788E+12

723.52 0.2932 0.1716 5.3426E+07 3.1271E+07 -3.1649E+04 -1.8559E+04 1142.3 668.46 1.5366E+04 3.5788E+12 3.5788E+12

734.16 0.2648 0.1550 5.3050E+07 3.1051E+07 -4.3761E+04 -2.5648E+04 1134.9 664.12 1.5259E+04 3.5788E+12 3.5788E+12

744.80 0.2381 0.1394 5.2544E+07 3.0754E+07 -5.5787E+04 -3.2685E+04 1125.8 658.84 1.5116E+04 3.5788E+12 3.5788E+12

755.44 0.2131 0.1247 5.1909E+07 3.0382E+07 -6.7707E+04 -3.9661E+04 1115.2 652.60 1.4937E+04 3.5788E+12 3.5788E+12

766.08 0.1897 0.1110 5.1146E+07 2.9936E+07 -7.9506E+04 -4.6565E+04 1102.8 645.36 1.4722E+04 3.5788E+12 3.5788E+12

776.72 0.1679 9.8276E-02 5.0257E+07 2.9415E+07 -9.1164E+04 -5.3387E+04 1088.7 637.10 1.4472E+04 3.5788E+12 3.5788E+12

787.36 0.1478 8.6465E-02 4.9243E+07 2.8821E+07 -1.0266E+05 -6.0115E+04 1072.8 627.79 1.4186E+04 3.5788E+12 3.5788E+12

798.00 0.1291 7.5565E-02 4.8107E+07 2.8156E+07 -1.1398E+05 -6.6739E+04 1055.1 617.41 1.3865E+04 3.5788E+12 3.5788E+12

808.64 0.1120 6.5556E-02 4.6850E+07 2.7420E+07 -1.2510E+05 -7.3247E+04 1035.4 605.90 1.3511E+04 3.5788E+12 3.5788E+12

819.28 9.6410E-02 5.6415E-02 4.5474E+07 2.6614E+07 -1.3600E+05 -7.9626E+04 1013.8 593.25 1.3123E+04 3.5788E+12 3.5788E+12

829.92 8.2227E-02 4.8115E-02 4.3982E+07 2.5741E+07 -1.4666E+05 -8.5864E+04 990.19 579.41 1.2703E+04 3.5788E+12 3.5788E+12

840.56 6.9436E-02 4.0630E-02 4.2377E+07 2.4801E+07 -1.5706E+05 -9.1948E+04 964.45 564.34 1.2250E+04 3.5788E+12 3.5788E+12

Page 94: Willis Avenue Bridge – Pivot Pier

93

851.20 5.7985E-02 3.3929E-02 4.0661E+07 2.3797E+07 -1.7063E+05 -9.9888E+04 1586.5 928.32 1.1767E+04 3.5788E+12 3.5788E+12

861.84 4.7820E-02 2.7981E-02 3.8765E+07 2.2687E+07 -1.8738E+05 -1.0969E+05 1560.8 913.26 1.1233E+04 3.5788E+12 3.5788E+12

872.48 3.8882E-02 2.2750E-02 3.6691E+07 2.1473E+07 -2.0271E+05 -1.1866E+05 1320.8 772.80 1.0648E+04 3.5788E+12 3.5788E+12

883.12 3.1104E-02 1.8199E-02 3.4466E+07 2.0170E+07 -2.1557E+05 -1.2618E+05 1098.0 642.41 1.0021E+04 3.5788E+12 3.5788E+12

893.76 2.4417E-02 1.4286E-02 3.2116E+07 1.8795E+07 -2.2617E+05 -1.3239E+05 894.37 523.28 9359.4 3.5788E+12 3.5788E+12

904.40 1.8746E-02 1.0967E-02 2.9664E+07 1.7360E+07 -2.3472E+05 -1.3738E+05 711.57 416.32 8668.6 3.5788E+12 3.5788E+12

915.04 1.4013E-02 8.1981E-03 2.7131E+07 1.5877E+07 -2.4143E+05 -1.4131E+05 550.54 322.10 7954.9 3.5788E+12 3.5788E+12

925.68 1.0138E-02 5.9310E-03 2.4534E+07 1.4357E+07 -2.4655E+05 -1.4431E+05 411.79 240.91 7223.3 3.5788E+12 3.5788E+12

936.32 7.0393E-03 4.1180E-03 2.1890E+07 1.2810E+07 -2.5031E+05 -1.4651E+05 295.29 172.75 6478.5 3.5788E+12 3.5788E+12

946.96 4.6331E-03 2.7103E-03 1.9212E+07 1.1242E+07 -2.5295E+05 -1.4805E+05 200.52 117.30 5724.1 3.5788E+12 3.5788E+12

957.60 2.8347E-03 1.6581E-03 1.6511E+07 9.6612E+06 -2.5469E+05 -1.4907E+05 126.45 73.968 4963.2 3.5788E+12 3.5788E+12

968.24 1.5586E-03 9.1163E-04 1.3795E+07 8.0716E+06 -2.5574E+05 -1.4968E+05 71.602 41.879 4198.0 3.5788E+12 3.5788E+12

978.88 7.1893E-04 4.2045E-04 1.1071E+07 6.4770E+06 -2.5630E+05 -1.5001E+05 33.983 19.874 3430.5 3.5788E+12 3.5788E+12

989.52 2.2945E-04 1.3417E-04 8.3424E+06 4.8800E+06 -2.5654E+05 -1.5015E+05 11.151 6.5207 2661.9 3.5788E+12 3.5788E+12

1000.2 3.8824E-06 2.2640E-06 5.6124E+06 3.2821E+06 -2.9388E+05 -1.7193E+05 7007.3 4086.3 1854.8 3.5788E+12 3.5788E+12

1010.8 -4.4149E-05 -2.5821E-05 2.0889E+06 1.2215E+06 -2.5917E+05 -1.5157E+05 -1.3531E+04 -7913.4 824.97 3.5788E+12 3.5788E+12

1021.4 -2.6101E-05 -1.5264E-05 9.7197E+04 5.6790E+04 -1.2210E+05 -7.1401E+04 -1.2235E+04 -7155.2 227.00 3.5788E+12 3.5788E+12

1032.1 -4.9786E-06 -2.9113E-06 -5.0938E+05 -2.9790E+05 -1.2039E+04 -7037.8 -8452.9 -4943.0 306.40 3.5788E+12 3.5788E+12

1042.7 3.0721E-08 1.7969E-08 -1.5900E+05 -9.2982E+04 2.3953E+04 1.4008E+04 1687.6 987.05 171.35 3.5788E+12 3.5788E+12

1053.4 1.0161E-08 5.9420E-09 328.74 192.35 7471.9 4369.4 1410.3 824.72 90.522 3.5788E+12 3.5788E+12

1064.0 -1.8382E-15 -1.0756E-15 -3.2967E-14 5.3115E-15 -2.7347E-17 -2.5832E-15 -5.8076 -3.3982 54.437 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 23

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

1.2901E-02 3.6156 2.0864 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

6.7203E+05 2.9960E+05 1.7276E+05 8.4490E+05 -6.7079E+07 1.1636E+08

STR,LBS/IN**2

3.2888E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

1.2901E-02 3.6156 2.0864 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

6.7203E+05 2.9960E+05 1.7276E+05 8.4490E+05 -6.7079E+07 1.1636E+08

STR,LBS/IN**2

3.2888E+04

Page 95: Willis Avenue Bridge – Pivot Pier

94

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.6156 2.0864 -1.1636E+08 -6.7079E+07 2.9962E+05 1.7277E+05 0.0000 0.0000 3.2888E+04 3.5788E+12 3.5788E+12

10.640 3.6133 2.0851 -1.1317E+08 -6.5241E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 3.1993E+04 3.5788E+12 3.5788E+12

21.280 3.6075 2.0817 -1.0998E+08 -6.3401E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 3.1098E+04 3.5788E+12 3.5788E+12

31.920 3.5982 2.0763 -1.0679E+08 -6.1560E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 3.0202E+04 3.5788E+12 3.5788E+12

42.560 3.5856 2.0689 -1.0359E+08 -5.9717E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 2.9305E+04 3.5788E+12 3.5788E+12

53.200 3.5696 2.0597 -1.0039E+08 -5.7873E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 2.8408E+04 3.5788E+12 3.5788E+12

63.840 3.5505 2.0486 -9.7193E+07 -5.6028E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 2.7510E+04 3.5788E+12 3.5788E+12

74.480 3.5283 2.0358 -9.3992E+07 -5.4182E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 2.6612E+04 3.5788E+12 3.5788E+12

85.120 3.5032 2.0213 -9.0788E+07 -5.2335E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 2.5713E+04 3.5788E+12 3.5788E+12

95.760 3.4751 2.0051 -8.7583E+07 -5.0486E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 2.4813E+04 3.5788E+12 3.5788E+12

106.40 3.4443 1.9873 -8.4375E+07 -4.8637E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 2.3913E+04 3.5788E+12 3.5788E+12

117.04 3.4108 1.9679 -8.1166E+07 -4.6786E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 2.3012E+04 3.5788E+12 3.5788E+12

127.68 3.3748 1.9471 -7.7955E+07 -4.4934E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 2.2111E+04 3.5788E+12 3.5788E+12

138.32 3.3363 1.9249 -7.4742E+07 -4.3082E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 2.1210E+04 3.5788E+12 3.5788E+12

148.96 3.2954 1.9013 -7.1528E+07 -4.1228E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 2.0308E+04 3.5788E+12 3.5788E+12

159.60 3.2523 1.8763 -6.8312E+07 -3.9374E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 1.9406E+04 3.5788E+12 3.5788E+12

170.24 3.2070 1.8502 -6.5095E+07 -3.7519E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 1.8503E+04 3.5788E+12 3.5788E+12

180.88 3.1596 1.8229 -6.1877E+07 -3.5663E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 1.7600E+04 3.5788E+12 3.5788E+12

191.52 3.1103 1.7944 -5.8657E+07 -3.3806E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 1.6696E+04 3.5788E+12 3.5788E+12

202.16 3.0591 1.7649 -5.5436E+07 -3.1949E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 1.5792E+04 3.5788E+12 3.5788E+12

212.80 3.0062 1.7343 -5.2214E+07 -3.0091E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 1.4888E+04 3.5788E+12 3.5788E+12

223.44 2.9516 1.7028 -4.8990E+07 -2.8232E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 1.3983E+04 3.5788E+12 3.5788E+12

234.08 2.8955 1.6704 -4.5766E+07 -2.6372E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 1.3078E+04 3.5788E+12 3.5788E+12

244.72 2.8379 1.6372 -4.2540E+07 -2.4512E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 1.2173E+04 3.5788E+12 3.5788E+12

255.36 2.7790 1.6032 -3.9314E+07 -2.2652E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 1.1268E+04 3.5788E+12 3.5788E+12

266.00 2.7189 1.5685 -3.6087E+07 -2.0791E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 1.0362E+04 3.5788E+12 3.5788E+12

276.64 2.6576 1.5331 -3.2859E+07 -1.8930E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 9456.4 3.5788E+12 3.5788E+12

287.28 2.5952 1.4971 -2.9630E+07 -1.7068E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 8550.4 3.5788E+12 3.5788E+12

297.92 2.5319 1.4606 -2.6401E+07 -1.5206E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 7644.2 3.5788E+12 3.5788E+12

308.56 2.4678 1.4236 -2.3171E+07 -1.3343E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 6737.8 3.5788E+12 3.5788E+12

319.20 2.4030 1.3862 -1.9941E+07 -1.1481E+07 2.9950E+05 1.7271E+05 0.0000 0.0000 5831.3 3.5788E+12 3.5788E+12

329.84 2.3375 1.3484 -1.6710E+07 -9.6175E+06 2.9950E+05 1.7271E+05 0.0000 0.0000 4924.7 3.5788E+12 3.5788E+12

340.48 2.2715 1.3103 -1.3479E+07 -7.7543E+06 2.9950E+05 1.7271E+05 0.0000 0.0000 4018.0 3.5788E+12 3.5788E+12

351.12 2.2051 1.2720 -1.0248E+07 -5.8910E+06 2.9950E+05 1.7271E+05 0.0000 0.0000 3111.2 3.5788E+12 3.5788E+12

361.76 2.1383 1.2335 -7.0161E+06 -4.0275E+06 2.9950E+05 1.7271E+05 0.0000 0.0000 2204.4 3.5788E+12 3.5788E+12

372.40 2.0713 1.1948 -3.7844E+06 -2.1639E+06 2.9945E+05 1.7267E+05 11.010 6.3508 1297.5 3.5788E+12 3.5788E+12

383.04 2.0042 1.1561 -5.5379E+05 -3.0100E+05 2.9900E+05 1.7241E+05 73.444 42.365 390.93 3.5788E+12 3.5788E+12

393.68 1.9371 1.1174 2.6685E+06 1.5571E+06 2.9775E+05 1.7170E+05 160.11 92.357 988.77 3.5788E+12 3.5788E+12

404.32 1.8701 1.0787 5.8726E+06 3.4047E+06 2.9547E+05 1.7038E+05 269.36 155.37 1887.9 3.5788E+12 3.5788E+12

414.96 1.8032 1.0401 9.0460E+06 5.2347E+06 2.9190E+05 1.6832E+05 400.91 231.25 2778.4 3.5788E+12 3.5788E+12

425.60 1.7367 1.0017 1.2174E+07 7.0384E+06 2.8680E+05 1.6538E+05 557.61 321.64 3656.2 3.5788E+12 3.5788E+12

436.24 1.6705 0.9636 1.5238E+07 8.8055E+06 2.7931E+05 1.6106E+05 852.14 491.53 4515.9 3.5788E+12 3.5788E+12

446.88 1.6048 0.9257 1.8206E+07 1.0517E+07 2.7011E+05 1.5575E+05 877.94 506.41 5348.4 3.5788E+12 3.5788E+12

457.52 1.5397 0.8881 2.1074E+07 1.2170E+07 2.6064E+05 1.5029E+05 902.64 520.65 6153.0 3.5788E+12 3.5788E+12

468.16 1.4752 0.8509 2.3839E+07 1.3765E+07 2.5092E+05 1.4468E+05 926.29 534.29 6928.8 3.5788E+12 3.5788E+12

478.80 1.4115 0.8142 2.6499E+07 1.5299E+07 2.4094E+05 1.3893E+05 948.91 547.34 7675.0 3.5788E+12 3.5788E+12

489.44 1.3487 0.7779 2.9051E+07 1.6770E+07 2.3074E+05 1.3304E+05 970.51 559.80 8390.8 3.5788E+12 3.5788E+12

500.08 1.2867 0.7422 3.1493E+07 1.8178E+07 2.2030E+05 1.2702E+05 991.09 571.66 9075.7 3.5788E+12 3.5788E+12

510.72 1.2258 0.7070 3.3821E+07 1.9521E+07 2.0966E+05 1.2088E+05 1010.6 582.93 9728.9 3.5788E+12 3.5788E+12

521.36 1.1659 0.6725 3.6035E+07 2.0797E+07 1.9881E+05 1.1463E+05 1029.1 593.60 1.0350E+04 3.5788E+12 3.5788E+12

532.00 1.1072 0.6386 3.8131E+07 2.2005E+07 1.8777E+05 1.0826E+05 1046.6 603.66 1.0938E+04 3.5788E+12 3.5788E+12

542.64 1.0496 0.6054 4.0108E+07 2.3145E+07 1.7655E+05 1.0179E+05 1062.9 613.09 1.1492E+04 3.5788E+12 3.5788E+12

Page 96: Willis Avenue Bridge – Pivot Pier

95

553.28 0.9934 0.5730 4.1964E+07 2.4215E+07 1.6516E+05 9.5219E+04 1078.2 621.88 1.2013E+04 3.5788E+12 3.5788E+12

563.92 0.9384 0.5413 4.3696E+07 2.5214E+07 1.5362E+05 8.8561E+04 1092.3 630.03 1.2499E+04 3.5788E+12 3.5788E+12

574.56 0.8849 0.5104 4.5305E+07 2.6141E+07 1.4193E+05 8.1819E+04 1105.3 637.53 1.2950E+04 3.5788E+12 3.5788E+12

585.20 0.8328 0.4803 4.6787E+07 2.6995E+07 1.3011E+05 7.5001E+04 1117.2 644.35 1.3366E+04 3.5788E+12 3.5788E+12

595.84 0.7821 0.4511 4.8141E+07 2.7776E+07 1.1817E+05 6.8114E+04 1127.8 650.48 1.3746E+04 3.5788E+12 3.5788E+12

606.48 0.7330 0.4228 4.9367E+07 2.8483E+07 1.0612E+05 6.1166E+04 1137.2 655.92 1.4089E+04 3.5788E+12 3.5788E+12

617.12 0.6855 0.3954 5.0464E+07 2.9115E+07 9.3982E+04 5.4163E+04 1145.4 660.65 1.4397E+04 3.5788E+12 3.5788E+12

627.76 0.6395 0.3689 5.1429E+07 2.9671E+07 8.1760E+04 4.7114E+04 1152.4 664.64 1.4667E+04 3.5788E+12 3.5788E+12

638.40 0.5952 0.3433 5.2263E+07 3.0152E+07 6.9471E+04 4.0026E+04 1158.0 667.90 1.4901E+04 3.5788E+12 3.5788E+12

649.04 0.5525 0.3187 5.2965E+07 3.0556E+07 5.7129E+04 3.2908E+04 1162.4 670.39 1.5098E+04 3.5788E+12 3.5788E+12

659.68 0.5115 0.2950 5.3534E+07 3.0884E+07 4.4747E+04 2.5767E+04 1165.3 672.11 1.5257E+04 3.5788E+12 3.5788E+12

670.32 0.4722 0.2723 5.3970E+07 3.1135E+07 3.2342E+04 1.8612E+04 1167.0 673.04 1.5379E+04 3.5788E+12 3.5788E+12

680.96 0.4346 0.2507 5.4273E+07 3.1309E+07 1.9926E+04 1.1451E+04 1167.2 673.16 1.5464E+04 3.5788E+12 3.5788E+12

691.60 0.3987 0.2300 5.4442E+07 3.1406E+07 7515.3 4293.3 1166.0 672.46 1.5511E+04 3.5788E+12 3.5788E+12

702.24 0.3646 0.2103 5.4479E+07 3.1427E+07 -4874.6 -2852.4 1163.3 670.90 1.5521E+04 3.5788E+12 3.5788E+12

712.88 0.3321 0.1916 5.4382E+07 3.1371E+07 -1.7228E+04 -9977.0 1159.1 668.48 1.5494E+04 3.5788E+12 3.5788E+12

723.52 0.3014 0.1738 5.4153E+07 3.1239E+07 -2.9529E+04 -1.7071E+04 1153.4 665.17 1.5430E+04 3.5788E+12 3.5788E+12

734.16 0.2724 0.1571 5.3793E+07 3.1030E+07 -4.1760E+04 -2.4125E+04 1146.1 660.96 1.5328E+04 3.5788E+12 3.5788E+12

744.80 0.2451 0.1414 5.3302E+07 3.0746E+07 -5.3906E+04 -3.1130E+04 1137.1 655.81 1.5190E+04 3.5788E+12 3.5788E+12

755.44 0.2195 0.1266 5.2680E+07 3.0388E+07 -6.5947E+04 -3.8074E+04 1126.6 649.70 1.5016E+04 3.5788E+12 3.5788E+12

766.08 0.1956 0.1128 5.1931E+07 2.9955E+07 -7.7867E+04 -4.4949E+04 1114.3 642.61 1.4805E+04 3.5788E+12 3.5788E+12

776.72 0.1732 9.9910E-02 5.1054E+07 2.9449E+07 -8.9648E+04 -5.1743E+04 1100.3 634.51 1.4559E+04 3.5788E+12 3.5788E+12

787.36 0.1526 8.7977E-02 5.0051E+07 2.8870E+07 -1.0127E+05 -5.8445E+04 1084.4 625.38 1.4277E+04 3.5788E+12 3.5788E+12

798.00 0.1334 7.6957E-02 4.8925E+07 2.8220E+07 -1.1271E+05 -6.5044E+04 1066.7 615.17 1.3961E+04 3.5788E+12 3.5788E+12

808.64 0.1159 6.6829E-02 4.7676E+07 2.7500E+07 -1.2396E+05 -7.1529E+04 1047.1 603.86 1.3610E+04 3.5788E+12 3.5788E+12

819.28 9.9834E-02 5.7572E-02 4.6309E+07 2.6710E+07 -1.3498E+05 -7.7887E+04 1025.5 591.40 1.3226E+04 3.5788E+12 3.5788E+12

829.92 8.5247E-02 4.9159E-02 4.4824E+07 2.5854E+07 -1.4577E+05 -8.4107E+04 1001.9 577.77 1.2809E+04 3.5788E+12 3.5788E+12

840.56 7.2078E-02 4.1564E-02 4.3225E+07 2.4931E+07 -1.5629E+05 -9.0175E+04 976.19 562.92 1.2360E+04 3.5788E+12 3.5788E+12

851.20 6.0276E-02 3.4758E-02 4.1514E+07 2.3944E+07 -1.7011E+05 -9.8142E+04 1620.8 934.61 1.1880E+04 3.5788E+12 3.5788E+12

861.84 4.9787E-02 2.8709E-02 3.9619E+07 2.2851E+07 -1.8736E+05 -1.0809E+05 1623.2 935.99 1.1348E+04 3.5788E+12 3.5788E+12

872.48 4.0552E-02 2.3383E-02 3.7540E+07 2.1651E+07 -2.0333E+05 -1.1730E+05 1377.5 794.31 1.0765E+04 3.5788E+12 3.5788E+12

883.12 3.2504E-02 1.8742E-02 3.5304E+07 2.0361E+07 -2.1676E+05 -1.2504E+05 1147.4 661.59 1.0137E+04 3.5788E+12 3.5788E+12

893.76 2.5573E-02 1.4745E-02 3.2937E+07 1.8996E+07 -2.2785E+05 -1.3144E+05 936.72 540.11 9472.5 3.5788E+12 3.5788E+12

904.40 1.9684E-02 1.1349E-02 3.0463E+07 1.7569E+07 -2.3681E+05 -1.3660E+05 747.19 430.82 8778.3 3.5788E+12 3.5788E+12

915.04 1.4759E-02 8.5093E-03 2.7905E+07 1.6093E+07 -2.4387E+05 -1.4067E+05 579.85 334.32 8060.1 3.5788E+12 3.5788E+12

925.68 1.0716E-02 6.1782E-03 2.5280E+07 1.4579E+07 -2.4927E+05 -1.4379E+05 435.27 250.95 7323.3 3.5788E+12 3.5788E+12

936.32 7.4729E-03 4.3083E-03 2.2605E+07 1.3036E+07 -2.5325E+05 -1.4608E+05 313.48 180.73 6572.6 3.5788E+12 3.5788E+12

946.96 4.9450E-03 2.8508E-03 1.9894E+07 1.1472E+07 -2.5606E+05 -1.4770E+05 214.02 123.38 5811.8 3.5788E+12 3.5788E+12

957.60 3.0465E-03 1.7561E-03 1.7159E+07 9.8947E+06 -2.5792E+05 -1.4877E+05 135.90 78.340 5044.1 3.5788E+12 3.5788E+12

968.24 1.6907E-03 9.7452E-04 1.4408E+07 8.3078E+06 -2.5905E+05 -1.4943E+05 77.669 44.769 4271.9 3.5788E+12 3.5788E+12

978.88 7.9069E-04 4.5571E-04 1.1648E+07 6.7157E+06 -2.5967E+05 -1.4978E+05 37.375 21.541 3497.2 3.5788E+12 3.5788E+12

989.52 2.5915E-04 1.4934E-04 8.8832E+06 5.1210E+06 -2.5993E+05 -1.4993E+05 12.594 7.2576 2721.3 3.5788E+12 3.5788E+12

1000.2 8.6233E-06 4.9586E-06 6.1170E+06 3.5254E+06 -3.0627E+05 -1.7658E+05 8697.3 5001.1 1917.1 3.5788E+12 3.5788E+12

1010.8 -4.8400E-05 -2.7898E-05 2.3661E+06 1.3635E+06 -2.7858E+05 -1.6056E+05 -1.3901E+04 -8012.8 837.17 3.5788E+12 3.5788E+12

1021.4 -3.0576E-05 -1.7622E-05 1.8887E+05 1.0876E+05 -1.3645E+05 -7.8638E+04 -1.2814E+04 -7385.2 199.14 3.5788E+12 3.5788E+12

1032.1 -6.7774E-06 -3.9058E-06 -5.3769E+05 -3.0991E+05 -1.8949E+04 -1.0916E+04 -9273.6 -5344.3 270.17 3.5788E+12 3.5788E+12

1042.7 1.2231E-08 7.0530E-09 -2.1438E+05 -1.2355E+05 2.5225E+04 1.4539E+04 970.22 559.49 152.82 3.5788E+12 3.5788E+12

1053.4 2.0401E-08 1.1757E-08 -903.17 -520.36 1.0074E+04 5805.7 1877.7 1082.1 66.460 3.5788E+12 3.5788E+12

1064.0 2.2048E-15 1.2703E-15 2.2267E-14 -1.3406E-14 -1.0501E-14 -6.7926E-15 15.956 9.1928 39.855 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 24

* PILE TOP DISPLACEMENTS AND REACTIONS *

Page 97: Willis Avenue Bridge – Pivot Pier

96

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

2.7757E-02 3.4848 2.1115 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

1.4459E+06 2.8749E+05 1.7411E+05 8.4490E+05 -6.8149E+07 1.1255E+08

STR,LBS/IN**2

3.2497E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

2.7757E-02 3.4848 2.1115 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

1.4459E+06 2.8749E+05 1.7411E+05 8.4490E+05 -6.8149E+07 1.1255E+08

STR,LBS/IN**2

3.2497E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.4848 2.1115 -1.1255E+08 -6.8149E+07 2.8753E+05 1.7414E+05 0.0000 0.0000 3.2497E+04 3.5788E+12 3.5788E+12

10.640 3.4826 2.1102 -1.0949E+08 -6.6296E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 3.1627E+04 3.5788E+12 3.5788E+12

21.280 3.4770 2.1068 -1.0642E+08 -6.4439E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 3.0756E+04 3.5788E+12 3.5788E+12

31.920 3.4680 2.1013 -1.0335E+08 -6.2580E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 2.9883E+04 3.5788E+12 3.5788E+12

42.560 3.4557 2.0938 -1.0028E+08 -6.0718E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 2.9010E+04 3.5788E+12 3.5788E+12

53.200 3.4403 2.0845 -9.7199E+07 -5.8853E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 2.8135E+04 3.5788E+12 3.5788E+12

63.840 3.4218 2.0732 -9.4116E+07 -5.6986E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 2.7258E+04 3.5788E+12 3.5788E+12

74.480 3.4003 2.0602 -9.1028E+07 -5.5116E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 2.6381E+04 3.5788E+12 3.5788E+12

85.120 3.3759 2.0454 -8.7936E+07 -5.3243E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 2.5502E+04 3.5788E+12 3.5788E+12

95.760 3.3488 2.0289 -8.4840E+07 -5.1368E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 2.4622E+04 3.5788E+12 3.5788E+12

106.40 3.3189 2.0108 -8.1740E+07 -4.9491E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 2.3741E+04 3.5788E+12 3.5788E+12

117.04 3.2865 1.9912 -7.8636E+07 -4.7611E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 2.2859E+04 3.5788E+12 3.5788E+12

127.68 3.2516 1.9700 -7.5529E+07 -4.5729E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 2.1976E+04 3.5788E+12 3.5788E+12

138.32 3.2143 1.9474 -7.2418E+07 -4.3845E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 2.1092E+04 3.5788E+12 3.5788E+12

148.96 3.1747 1.9234 -6.9304E+07 -4.1959E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 2.0207E+04 3.5788E+12 3.5788E+12

159.60 3.1329 1.8981 -6.6187E+07 -4.0071E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 1.9321E+04 3.5788E+12 3.5788E+12

170.24 3.0891 1.8715 -6.3067E+07 -3.8182E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 1.8434E+04 3.5788E+12 3.5788E+12

180.88 3.0432 1.8437 -5.9944E+07 -3.6290E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 1.7546E+04 3.5788E+12 3.5788E+12

191.52 2.9954 1.8147 -5.6818E+07 -3.4397E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 1.6658E+04 3.5788E+12 3.5788E+12

202.16 2.9459 1.7847 -5.3690E+07 -3.2503E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 1.5769E+04 3.5788E+12 3.5788E+12

212.80 2.8946 1.7536 -5.0559E+07 -3.0606E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 1.4879E+04 3.5788E+12 3.5788E+12

223.44 2.8417 1.7216 -4.7425E+07 -2.8709E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 1.3988E+04 3.5788E+12 3.5788E+12

234.08 2.7874 1.6886 -4.4290E+07 -2.6810E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 1.3097E+04 3.5788E+12 3.5788E+12

244.72 2.7316 1.6548 -4.1153E+07 -2.4910E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 1.2206E+04 3.5788E+12 3.5788E+12

Page 98: Willis Avenue Bridge – Pivot Pier

97

255.36 2.6745 1.6203 -3.8013E+07 -2.3009E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 1.1313E+04 3.5788E+12 3.5788E+12

266.00 2.6163 1.5849 -3.4872E+07 -2.1106E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 1.0421E+04 3.5788E+12 3.5788E+12

276.64 2.5569 1.5490 -3.1730E+07 -1.9203E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 9527.6 3.5788E+12 3.5788E+12

287.28 2.4965 1.5124 -2.8586E+07 -1.7299E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 8634.0 3.5788E+12 3.5788E+12

297.92 2.4353 1.4753 -2.5440E+07 -1.5394E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 7740.1 3.5788E+12 3.5788E+12

308.56 2.3732 1.4376 -2.2294E+07 -1.3488E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 6845.8 3.5788E+12 3.5788E+12

319.20 2.3104 1.3996 -1.9146E+07 -1.1582E+07 2.8729E+05 1.7399E+05 0.0000 0.0000 5951.2 3.5788E+12 3.5788E+12

329.84 2.2470 1.3612 -1.5998E+07 -9.6752E+06 2.8729E+05 1.7399E+05 0.0000 0.0000 5056.4 3.5788E+12 3.5788E+12

340.48 2.1831 1.3225 -1.2849E+07 -7.7680E+06 2.8729E+05 1.7399E+05 0.0000 0.0000 4161.4 3.5788E+12 3.5788E+12

351.12 2.1188 1.2835 -9.6987E+06 -5.8604E+06 2.8729E+05 1.7399E+05 0.0000 0.0000 3266.2 3.5788E+12 3.5788E+12

361.76 2.0542 1.2444 -6.5485E+06 -3.9526E+06 2.8729E+05 1.7399E+05 0.0000 0.0000 2370.9 3.5788E+12 3.5788E+12

372.40 1.9894 1.2051 -3.3980E+06 -2.0445E+06 2.8723E+05 1.7395E+05 10.871 6.5853 1475.5 3.5788E+12 3.5788E+12

383.04 1.9244 1.1658 -2.4860E+05 -1.3715E+05 2.8679E+05 1.7369E+05 72.518 43.929 580.46 3.5788E+12 3.5788E+12

393.68 1.8595 1.1264 2.8926E+06 1.7653E+06 2.8557E+05 1.7295E+05 156.22 94.631 1335.2 3.5788E+12 3.5788E+12

404.32 1.7946 1.0871 6.0160E+06 3.6569E+06 2.8334E+05 1.7160E+05 263.01 159.32 2222.9 3.5788E+12 3.5788E+12

414.96 1.7300 1.0480 9.1094E+06 5.5303E+06 2.7986E+05 1.6949E+05 391.52 237.17 3102.0 3.5788E+12 3.5788E+12

425.60 1.6656 1.0090 1.2158E+07 7.3766E+06 2.7488E+05 1.6647E+05 544.64 329.92 3968.4 3.5788E+12 3.5788E+12

436.24 1.6016 0.9702 1.5144E+07 9.1852E+06 2.6755E+05 1.6203E+05 835.25 505.96 4816.7 3.5788E+12 3.5788E+12

446.88 1.5381 0.9317 1.8036E+07 1.0936E+07 2.5854E+05 1.5657E+05 860.46 521.23 5637.8 3.5788E+12 3.5788E+12

457.52 1.4752 0.8936 2.0829E+07 1.2628E+07 2.4926E+05 1.5095E+05 884.59 535.84 6431.1 3.5788E+12 3.5788E+12

468.16 1.4129 0.8559 2.3520E+07 1.4258E+07 2.3974E+05 1.4518E+05 907.68 549.83 7195.6 3.5788E+12 3.5788E+12

478.80 1.3514 0.8186 2.6108E+07 1.5825E+07 2.2997E+05 1.3927E+05 929.76 563.20 7930.6 3.5788E+12 3.5788E+12

489.44 1.2907 0.7818 2.8590E+07 1.7328E+07 2.1997E+05 1.3321E+05 950.84 575.96 8635.4 3.5788E+12 3.5788E+12

500.08 1.2309 0.7456 3.0963E+07 1.8765E+07 2.0976E+05 1.2702E+05 970.90 588.11 9309.2 3.5788E+12 3.5788E+12

510.72 1.1721 0.7100 3.3224E+07 2.0134E+07 1.9933E+05 1.2071E+05 989.93 599.64 9951.4 3.5788E+12 3.5788E+12

521.36 1.1143 0.6750 3.5372E+07 2.1435E+07 1.8871E+05 1.1427E+05 1007.9 610.54 1.0561E+04 3.5788E+12 3.5788E+12

532.00 1.0577 0.6407 3.7404E+07 2.2665E+07 1.7790E+05 1.0773E+05 1024.9 620.81 1.1138E+04 3.5788E+12 3.5788E+12

542.64 1.0022 0.6071 3.9318E+07 2.3824E+07 1.6692E+05 1.0108E+05 1040.8 630.43 1.1682E+04 3.5788E+12 3.5788E+12

553.28 0.9480 0.5742 4.1112E+07 2.4911E+07 1.5578E+05 9.4325E+04 1055.6 639.39 1.2191E+04 3.5788E+12 3.5788E+12

563.92 0.8951 0.5422 4.2786E+07 2.5924E+07 1.4448E+05 8.7481E+04 1069.3 647.68 1.2666E+04 3.5788E+12 3.5788E+12

574.56 0.8435 0.5109 4.4336E+07 2.6863E+07 1.3304E+05 8.0553E+04 1081.8 655.29 1.3107E+04 3.5788E+12 3.5788E+12

585.20 0.7933 0.4805 4.5762E+07 2.7726E+07 1.2147E+05 7.3548E+04 1093.2 662.20 1.3511E+04 3.5788E+12 3.5788E+12

595.84 0.7446 0.4510 4.7062E+07 2.8513E+07 1.0979E+05 6.6473E+04 1103.5 668.40 1.3880E+04 3.5788E+12 3.5788E+12

606.48 0.6974 0.4224 4.8235E+07 2.9224E+07 9.8010E+04 5.9335E+04 1112.5 673.88 1.4213E+04 3.5788E+12 3.5788E+12

617.12 0.6517 0.3947 4.9280E+07 2.9856E+07 8.6137E+04 5.2143E+04 1120.4 678.61 1.4510E+04 3.5788E+12 3.5788E+12

627.76 0.6075 0.3680 5.0196E+07 3.0411E+07 7.4186E+04 4.4904E+04 1126.9 682.59 1.4770E+04 3.5788E+12 3.5788E+12

638.40 0.5650 0.3422 5.0982E+07 3.0886E+07 6.2173E+04 3.7628E+04 1132.2 685.80 1.4992E+04 3.5788E+12 3.5788E+12

649.04 0.5240 0.3174 5.1637E+07 3.1283E+07 5.0109E+04 3.0321E+04 1136.2 688.22 1.5178E+04 3.5788E+12 3.5788E+12

659.68 0.4847 0.2936 5.2162E+07 3.1600E+07 3.8010E+04 2.2992E+04 1138.9 689.84 1.5327E+04 3.5788E+12 3.5788E+12

670.32 0.4471 0.2708 5.2555E+07 3.1838E+07 2.5889E+04 1.5650E+04 1140.2 690.63 1.5438E+04 3.5788E+12 3.5788E+12

680.96 0.4111 0.2490 5.2817E+07 3.1997E+07 1.3761E+04 8304.7 1140.2 690.59 1.5512E+04 3.5788E+12 3.5788E+12

691.60 0.3767 0.2282 5.2947E+07 3.2075E+07 1641.4 963.82 1138.7 689.69 1.5549E+04 3.5788E+12 3.5788E+12

702.24 0.3441 0.2084 5.2946E+07 3.2074E+07 -1.0455E+04 -6362.9 1135.7 687.91 1.5548E+04 3.5788E+12 3.5788E+12

712.88 0.3131 0.1897 5.2815E+07 3.1994E+07 -2.2513E+04 -1.3666E+04 1131.3 685.23 1.5510E+04 3.5788E+12 3.5788E+12

723.52 0.2838 0.1719 5.2552E+07 3.1835E+07 -3.4515E+04 -2.0936E+04 1125.4 681.63 1.5435E+04 3.5788E+12 3.5788E+12

734.16 0.2562 0.1552 5.2160E+07 3.1597E+07 -4.6447E+04 -2.8162E+04 1117.9 677.09 1.5323E+04 3.5788E+12 3.5788E+12

744.80 0.2302 0.1394 5.1640E+07 3.1282E+07 -5.8290E+04 -3.5336E+04 1108.8 671.58 1.5175E+04 3.5788E+12 3.5788E+12

755.44 0.2058 0.1247 5.0991E+07 3.0888E+07 -7.0029E+04 -4.2445E+04 1098.1 665.08 1.4990E+04 3.5788E+12 3.5788E+12

766.08 0.1831 0.1109 5.0216E+07 3.0418E+07 -8.1644E+04 -4.9481E+04 1085.7 657.57 1.4769E+04 3.5788E+12 3.5788E+12

776.72 0.1619 9.8063E-02 4.9315E+07 2.9873E+07 -9.3119E+04 -5.6430E+04 1071.6 649.01 1.4513E+04 3.5788E+12 3.5788E+12

787.36 0.1423 8.6192E-02 4.8291E+07 2.9252E+07 -1.0443E+05 -6.3283E+04 1055.7 639.37 1.4222E+04 3.5788E+12 3.5788E+12

798.00 0.1242 7.5247E-02 4.7146E+07 2.8558E+07 -1.1557E+05 -7.0028E+04 1037.9 628.62 1.3896E+04 3.5788E+12 3.5788E+12

808.64 0.1077 6.5205E-02 4.5880E+07 2.7792E+07 -1.2651E+05 -7.6652E+04 1018.3 616.74 1.3536E+04 3.5788E+12 3.5788E+12

819.28 9.2533E-02 5.6042E-02 4.4498E+07 2.6954E+07 -1.3723E+05 -8.3144E+04 996.74 603.67 1.3142E+04 3.5788E+12 3.5788E+12

829.92 7.8813E-02 4.7732E-02 4.3001E+07 2.6047E+07 -1.4770E+05 -8.9490E+04 973.16 589.38 1.2717E+04 3.5788E+12 3.5788E+12

840.56 6.6452E-02 4.0245E-02 4.1391E+07 2.5072E+07 -1.5792E+05 -9.5678E+04 947.51 573.84 1.2259E+04 3.5788E+12 3.5788E+12

851.20 5.5401E-02 3.3552E-02 3.9673E+07 2.4030E+07 -1.7117E+05 -1.0370E+05 1543.6 934.83 1.1770E+04 3.5788E+12 3.5788E+12

861.84 4.5605E-02 2.7619E-02 3.7778E+07 2.2882E+07 -1.8730E+05 -1.1347E+05 1488.5 901.47 1.1231E+04 3.5788E+12 3.5788E+12

872.48 3.7005E-02 2.2410E-02 3.5713E+07 2.1631E+07 -2.0191E+05 -1.2232E+05 1257.0 761.25 1.0644E+04 3.5788E+12 3.5788E+12

Page 99: Willis Avenue Bridge – Pivot Pier

98

883.12 2.9533E-02 1.7885E-02 3.3504E+07 2.0293E+07 -2.1414E+05 -1.2973E+05 1042.5 631.33 1.0016E+04 3.5788E+12 3.5788E+12

893.76 2.3122E-02 1.4002E-02 3.1175E+07 1.8883E+07 -2.2419E+05 -1.3581E+05 846.94 512.89 9353.9 3.5788E+12 3.5788E+12

904.40 1.7697E-02 1.0717E-02 2.8749E+07 1.7413E+07 -2.3227E+05 -1.4071E+05 671.76 406.80 8664.3 3.5788E+12 3.5788E+12

915.04 1.3181E-02 7.9819E-03 2.6246E+07 1.5897E+07 -2.3860E+05 -1.4454E+05 517.88 313.60 7952.6 3.5788E+12 3.5788E+12

925.68 9.4958E-03 5.7501E-03 2.3683E+07 1.4344E+07 -2.4341E+05 -1.4745E+05 385.71 233.56 7224.0 3.5788E+12 3.5788E+12

936.32 6.5596E-03 3.9719E-03 2.1076E+07 1.2765E+07 -2.4692E+05 -1.4958E+05 275.17 166.62 6482.7 3.5788E+12 3.5788E+12

946.96 4.2901E-03 2.5976E-03 1.8436E+07 1.1166E+07 -2.4938E+05 -1.5106E+05 185.67 112.42 5732.3 3.5788E+12 3.5788E+12

957.60 2.6037E-03 1.5765E-03 1.5775E+07 9.5533E+06 -2.5098E+05 -1.5203E+05 116.15 70.324 4975.7 3.5788E+12 3.5788E+12

968.24 1.4164E-03 8.5752E-04 1.3099E+07 7.9327E+06 -2.5195E+05 -1.5262E+05 65.069 39.394 4215.1 3.5788E+12 3.5788E+12

978.88 6.4347E-04 3.8954E-04 1.0416E+07 6.3072E+06 -2.5245E+05 -1.5293E+05 30.416 18.413 3452.3 3.5788E+12 3.5788E+12

989.52 2.0001E-04 1.2107E-04 7.7286E+06 4.6794E+06 -2.5267E+05 -1.5305E+05 9.7205 5.8838 2688.3 3.5788E+12 3.5788E+12

1000.2 1.0424E-06 6.2881E-07 5.0400E+06 3.0508E+06 -2.7877E+05 -1.6880E+05 4898.1 2954.6 1864.2 3.5788E+12 3.5788E+12

1010.8 -3.8497E-05 -2.3304E-05 1.7966E+06 1.0875E+06 -2.3593E+05 -1.4281E+05 -1.2951E+04 -7839.8 883.40 3.5788E+12 3.5788E+12

1021.4 -2.1203E-05 -1.2835E-05 1.9395E+04 1.1723E+04 -1.0607E+05 -6.4204E+04 -1.1459E+04 -6936.5 319.98 3.5788E+12 3.5788E+12

1032.1 -3.2954E-06 -1.9947E-06 -4.6053E+05 -2.7877E+05 -5930.3 -3588.9 -7363.6 -4457.3 387.56 3.5788E+12 3.5788E+12

1042.7 4.3848E-08 2.6543E-08 -1.0682E+05 -6.4657E+04 2.1695E+04 1.3132E+04 2171.0 1314.2 229.74 3.5788E+12 3.5788E+12

1053.4 4.0681E-09 2.4625E-09 1128.9 683.39 5019.6 3038.4 963.48 583.20 142.77 3.5788E+12 3.5788E+12

1064.0 -1.3353E-14 -8.0833E-15 1.1887E-14 -5.5604E-15 -3.2978E-15 -2.4391E-15 -19.944 -12.073 85.751 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 25

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

3.8358E-02 3.4093 2.1417 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

1.9991E+06 2.7992E+05 1.7578E+05 8.4490E+05 -6.9238E+07 1.1027E+08

STR,LBS/IN**2

3.2361E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

3.8358E-02 3.4093 2.1417 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

1.9991E+06 2.7992E+05 1.7578E+05 8.4490E+05 -6.9238E+07 1.1027E+08

STR,LBS/IN**2

3.2361E+04

* EFFECTS FOR LATERALLY LOADED PILE *

Page 100: Willis Avenue Bridge – Pivot Pier

99

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.4093 2.1417 -1.1027E+08 -6.9238E+07 2.7998E+05 1.7581E+05 0.0000 0.0000 3.2361E+04 3.5788E+12 3.5788E+12

10.640 3.4072 2.1403 -1.0729E+08 -6.7367E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 3.1505E+04 3.5788E+12 3.5788E+12

21.280 3.4016 2.1368 -1.0431E+08 -6.5491E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 3.0648E+04 3.5788E+12 3.5788E+12

31.920 3.3928 2.1312 -1.0131E+08 -6.3612E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 2.9789E+04 3.5788E+12 3.5788E+12

42.560 3.3808 2.1237 -9.8314E+07 -6.1728E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 2.8928E+04 3.5788E+12 3.5788E+12

53.200 3.3656 2.1141 -9.5308E+07 -5.9841E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 2.8065E+04 3.5788E+12 3.5788E+12

63.840 3.3475 2.1027 -9.2296E+07 -5.7949E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 2.7200E+04 3.5788E+12 3.5788E+12

74.480 3.3264 2.0895 -8.9279E+07 -5.6055E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 2.6334E+04 3.5788E+12 3.5788E+12

85.120 3.3025 2.0745 -8.6256E+07 -5.4156E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 2.5466E+04 3.5788E+12 3.5788E+12

95.760 3.2759 2.0577 -8.3227E+07 -5.2254E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 2.4597E+04 3.5788E+12 3.5788E+12

106.40 3.2466 2.0393 -8.0193E+07 -5.0349E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 2.3726E+04 3.5788E+12 3.5788E+12

117.04 3.2148 2.0193 -7.7154E+07 -4.8440E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 2.2854E+04 3.5788E+12 3.5788E+12

127.68 3.1806 1.9978 -7.4110E+07 -4.6529E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 2.1980E+04 3.5788E+12 3.5788E+12

138.32 3.1440 1.9748 -7.1061E+07 -4.4615E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 2.1105E+04 3.5788E+12 3.5788E+12

148.96 3.1052 1.9504 -6.8008E+07 -4.2697E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 2.0228E+04 3.5788E+12 3.5788E+12

159.60 3.0642 1.9247 -6.4951E+07 -4.0777E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 1.9351E+04 3.5788E+12 3.5788E+12

170.24 3.0212 1.8976 -6.1890E+07 -3.8855E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 1.8472E+04 3.5788E+12 3.5788E+12

180.88 2.9762 1.8694 -5.8824E+07 -3.6930E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 1.7592E+04 3.5788E+12 3.5788E+12

191.52 2.9293 1.8399 -5.5755E+07 -3.5003E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 1.6711E+04 3.5788E+12 3.5788E+12

202.16 2.8807 1.8094 -5.2682E+07 -3.3073E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 1.5829E+04 3.5788E+12 3.5788E+12

212.80 2.8304 1.7778 -4.9606E+07 -3.1142E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 1.4946E+04 3.5788E+12 3.5788E+12

223.44 2.7786 1.7452 -4.6527E+07 -2.9208E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 1.4062E+04 3.5788E+12 3.5788E+12

234.08 2.7252 1.7117 -4.3445E+07 -2.7273E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 1.3177E+04 3.5788E+12 3.5788E+12

244.72 2.6705 1.6774 -4.0360E+07 -2.5335E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 1.2292E+04 3.5788E+12 3.5788E+12

255.36 2.6146 1.6422 -3.7273E+07 -2.3397E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 1.1405E+04 3.5788E+12 3.5788E+12

266.00 2.5574 1.6063 -3.4183E+07 -2.1456E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 1.0519E+04 3.5788E+12 3.5788E+12

276.64 2.4992 1.5697 -3.1092E+07 -1.9515E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 9631.0 3.5788E+12 3.5788E+12

287.28 2.4400 1.5325 -2.7998E+07 -1.7572E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 8742.9 3.5788E+12 3.5788E+12

297.92 2.3798 1.4947 -2.4902E+07 -1.5628E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 7854.3 3.5788E+12 3.5788E+12

308.56 2.3190 1.4565 -2.1805E+07 -1.3683E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 6965.2 3.5788E+12 3.5788E+12

319.20 2.2574 1.4178 -1.8706E+07 -1.1737E+07 2.7965E+05 1.7561E+05 0.0000 0.0000 6075.7 3.5788E+12 3.5788E+12

329.84 2.1952 1.3787 -1.5607E+07 -9.7909E+06 2.7965E+05 1.7561E+05 0.0000 0.0000 5185.9 3.5788E+12 3.5788E+12

340.48 2.1325 1.3394 -1.2506E+07 -7.8437E+06 2.7965E+05 1.7561E+05 0.0000 0.0000 4295.8 3.5788E+12 3.5788E+12

351.12 2.0695 1.2998 -9.4044E+06 -5.8961E+06 2.7965E+05 1.7561E+05 0.0000 0.0000 3405.5 3.5788E+12 3.5788E+12

361.76 2.0061 1.2600 -6.3023E+06 -3.9481E+06 2.7965E+05 1.7561E+05 0.0000 0.0000 2515.0 3.5788E+12 3.5788E+12

372.40 1.9425 1.2200 -3.1998E+06 -1.9998E+06 2.7959E+05 1.7557E+05 10.763 6.7600 1624.4 3.5788E+12 3.5788E+12

383.04 1.8789 1.1801 -9.8261E+04 -5.2170E+04 2.7915E+05 1.7530E+05 71.332 44.801 734.16 3.5788E+12 3.5788E+12

393.68 1.8152 1.1401 2.9952E+06 1.8904E+06 2.7796E+05 1.7454E+05 153.76 96.570 1568.1 3.5788E+12 3.5788E+12

404.32 1.7516 1.1001 6.0710E+06 3.8219E+06 2.7576E+05 1.7317E+05 258.96 162.64 2451.0 3.5788E+12 3.5788E+12

414.96 1.6883 1.0603 9.1171E+06 5.7347E+06 2.7233E+05 1.7101E+05 385.52 242.13 3325.4 3.5788E+12 3.5788E+12

425.60 1.6252 1.0207 1.2119E+07 7.6198E+06 2.6743E+05 1.6793E+05 536.34 336.85 4187.1 3.5788E+12 3.5788E+12

436.24 1.5625 0.9813 1.5059E+07 9.4663E+06 2.6021E+05 1.6340E+05 823.91 517.46 5030.4 3.5788E+12 3.5788E+12

446.88 1.5002 0.9422 1.7906E+07 1.1254E+07 2.5132E+05 1.5781E+05 848.74 533.06 5846.7 3.5788E+12 3.5788E+12

457.52 1.4386 0.9035 2.0655E+07 1.2980E+07 2.4217E+05 1.5207E+05 872.50 547.98 6635.1 3.5788E+12 3.5788E+12

468.16 1.3776 0.8652 2.3304E+07 1.4643E+07 2.3278E+05 1.4617E+05 895.23 562.25 7394.8 3.5788E+12 3.5788E+12

478.80 1.3173 0.8273 2.5850E+07 1.6242E+07 2.2315E+05 1.4012E+05 916.96 575.89 8125.0 3.5788E+12 3.5788E+12

489.44 1.2578 0.7900 2.8290E+07 1.7775E+07 2.1329E+05 1.3393E+05 937.69 588.91 8824.9 3.5788E+12 3.5788E+12

500.08 1.1993 0.7532 3.0623E+07 1.9239E+07 2.0322E+05 1.2761E+05 957.41 601.30 9493.8 3.5788E+12 3.5788E+12

510.72 1.1417 0.7170 3.2845E+07 2.0635E+07 1.9295E+05 1.2115E+05 976.12 613.05 1.0131E+04 3.5788E+12 3.5788E+12

521.36 1.0851 0.6815 3.4955E+07 2.1960E+07 1.8248E+05 1.1458E+05 993.81 624.15 1.0736E+04 3.5788E+12 3.5788E+12

532.00 1.0297 0.6467 3.6950E+07 2.3212E+07 1.7182E+05 1.0789E+05 1010.5 634.61 1.1308E+04 3.5788E+12 3.5788E+12

542.64 0.9754 0.6126 3.8829E+07 2.4392E+07 1.6100E+05 1.0109E+05 1026.0 644.40 1.1847E+04 3.5788E+12 3.5788E+12

553.28 0.9223 0.5793 4.0589E+07 2.5497E+07 1.5001E+05 9.4191E+04 1040.6 653.51 1.2351E+04 3.5788E+12 3.5788E+12

563.92 0.8706 0.5468 4.2228E+07 2.6526E+07 1.3888E+05 8.7198E+04 1054.0 661.93 1.2821E+04 3.5788E+12 3.5788E+12

574.56 0.8202 0.5151 4.3746E+07 2.7479E+07 1.2761E+05 8.0120E+04 1066.3 669.65 1.3256E+04 3.5788E+12 3.5788E+12

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100

585.20 0.7711 0.4843 4.5140E+07 2.8354E+07 1.1621E+05 7.2963E+04 1077.4 676.65 1.3656E+04 3.5788E+12 3.5788E+12

595.84 0.7235 0.4544 4.6409E+07 2.9151E+07 1.0470E+05 6.5735E+04 1087.4 682.93 1.4019E+04 3.5788E+12 3.5788E+12

606.48 0.6773 0.4254 4.7553E+07 2.9869E+07 9.3095E+04 5.8444E+04 1096.2 688.45 1.4347E+04 3.5788E+12 3.5788E+12

617.12 0.6327 0.3973 4.8569E+07 3.0507E+07 8.1398E+04 5.1098E+04 1103.8 693.22 1.4638E+04 3.5788E+12 3.5788E+12

627.76 0.5896 0.3703 4.9457E+07 3.1065E+07 6.9627E+04 4.3705E+04 1110.2 697.21 1.4892E+04 3.5788E+12 3.5788E+12

638.40 0.5480 0.3442 5.0217E+07 3.1542E+07 5.7794E+04 3.6274E+04 1115.3 700.41 1.5110E+04 3.5788E+12 3.5788E+12

649.04 0.5081 0.3191 5.0847E+07 3.1937E+07 4.5914E+04 2.8813E+04 1119.1 702.80 1.5290E+04 3.5788E+12 3.5788E+12

659.68 0.4697 0.2950 5.1347E+07 3.2251E+07 3.3999E+04 2.1330E+04 1121.6 704.36 1.5433E+04 3.5788E+12 3.5788E+12

670.32 0.4330 0.2719 5.1717E+07 3.2483E+07 2.2065E+04 1.3836E+04 1122.7 705.08 1.5539E+04 3.5788E+12 3.5788E+12

680.96 0.3979 0.2499 5.1957E+07 3.2634E+07 1.0126E+04 6337.5 1122.5 704.94 1.5607E+04 3.5788E+12 3.5788E+12

691.60 0.3645 0.2289 5.2067E+07 3.2702E+07 -1803.6 -1154.4 1120.9 703.92 1.5638E+04 3.5788E+12 3.5788E+12

702.24 0.3327 0.2089 5.2046E+07 3.2689E+07 -1.3709E+04 -8630.9 1117.8 701.99 1.5631E+04 3.5788E+12 3.5788E+12

712.88 0.3025 0.1900 5.1896E+07 3.2595E+07 -2.5574E+04 -1.6082E+04 1113.3 699.14 1.5588E+04 3.5788E+12 3.5788E+12

723.52 0.2740 0.1721 5.1616E+07 3.2419E+07 -3.7382E+04 -2.3498E+04 1107.2 695.34 1.5507E+04 3.5788E+12 3.5788E+12

734.16 0.2471 0.1552 5.1208E+07 3.2162E+07 -4.9119E+04 -3.0869E+04 1099.7 690.58 1.5389E+04 3.5788E+12 3.5788E+12

744.80 0.2219 0.1393 5.0673E+07 3.1826E+07 -6.0767E+04 -3.8184E+04 1090.5 684.83 1.5235E+04 3.5788E+12 3.5788E+12

755.44 0.1982 0.1245 5.0010E+07 3.1410E+07 -7.2309E+04 -4.5432E+04 1079.7 678.05 1.5044E+04 3.5788E+12 3.5788E+12

766.08 0.1762 0.1106 4.9223E+07 3.0915E+07 -8.3728E+04 -5.2603E+04 1067.3 670.24 1.4817E+04 3.5788E+12 3.5788E+12

776.72 0.1556 9.7739E-02 4.8311E+07 3.0342E+07 -9.5006E+04 -5.9685E+04 1053.1 661.35 1.4555E+04 3.5788E+12 3.5788E+12

787.36 0.1367 8.5815E-02 4.7278E+07 2.9693E+07 -1.0612E+05 -6.6667E+04 1037.2 651.35 1.4258E+04 3.5788E+12 3.5788E+12

798.00 0.1192 7.4831E-02 4.6124E+07 2.8968E+07 -1.1706E+05 -7.3537E+04 1019.5 640.22 1.3926E+04 3.5788E+12 3.5788E+12

808.64 0.1031 6.4763E-02 4.4852E+07 2.8169E+07 -1.2780E+05 -8.0282E+04 999.90 627.92 1.3561E+04 3.5788E+12 3.5788E+12

819.28 8.8516E-02 5.5586E-02 4.3463E+07 2.7297E+07 -1.3833E+05 -8.6890E+04 978.39 614.40 1.3162E+04 3.5788E+12 3.5788E+12

829.92 7.5278E-02 4.7272E-02 4.1962E+07 2.6354E+07 -1.4861E+05 -9.3348E+04 954.89 599.64 1.2730E+04 3.5788E+12 3.5788E+12

840.56 6.3368E-02 3.9792E-02 4.0350E+07 2.5341E+07 -1.5863E+05 -9.9642E+04 929.33 583.58 1.2267E+04 3.5788E+12 3.5788E+12

851.20 5.2733E-02 3.3114E-02 3.8630E+07 2.4260E+07 -1.7155E+05 -1.0775E+05 1498.2 940.82 1.1772E+04 3.5788E+12 3.5788E+12

861.84 4.3321E-02 2.7204E-02 3.6738E+07 2.3072E+07 -1.8704E+05 -1.1748E+05 1414.0 887.90 1.1229E+04 3.5788E+12 3.5788E+12

872.48 3.5071E-02 2.2023E-02 3.4684E+07 2.1782E+07 -2.0090E+05 -1.2618E+05 1191.3 748.09 1.0639E+04 3.5788E+12 3.5788E+12

883.12 2.7918E-02 1.7531E-02 3.2492E+07 2.0406E+07 -2.1248E+05 -1.3345E+05 985.49 618.82 1.0010E+04 3.5788E+12 3.5788E+12

893.76 2.1793E-02 1.3684E-02 3.0188E+07 1.8958E+07 -2.2197E+05 -1.3941E+05 798.26 501.25 9347.9 3.5788E+12 3.5788E+12

904.40 1.6623E-02 1.0438E-02 2.7791E+07 1.7453E+07 -2.2957E+05 -1.4419E+05 630.99 396.21 8659.6 3.5788E+12 3.5788E+12

915.04 1.2332E-02 7.7433E-03 2.5321E+07 1.5901E+07 -2.3551E+05 -1.4791E+05 484.51 304.23 7950.3 3.5788E+12 3.5788E+12

925.68 8.8419E-03 5.5518E-03 2.2794E+07 1.4315E+07 -2.3999E+05 -1.5073E+05 359.15 225.51 7224.7 3.5788E+12 3.5788E+12

936.32 6.0730E-03 3.8131E-03 2.0226E+07 1.2701E+07 -2.4326E+05 -1.5278E+05 254.76 159.95 6487.2 3.5788E+12 3.5788E+12

946.96 3.9438E-03 2.4761E-03 1.7627E+07 1.1069E+07 -2.4552E+05 -1.5420E+05 170.68 107.16 5740.9 3.5788E+12 3.5788E+12

957.60 2.3723E-03 1.4894E-03 1.5008E+07 9.4244E+06 -2.4699E+05 -1.5513E+05 105.83 66.440 4988.9 3.5788E+12 3.5788E+12

968.24 1.2755E-03 8.0075E-04 1.2376E+07 7.7714E+06 -2.4787E+05 -1.5567E+05 58.595 36.786 4233.1 3.5788E+12 3.5788E+12

978.88 5.7023E-04 3.5796E-04 9.7369E+06 6.1138E+06 -2.4832E+05 -1.5596E+05 26.954 16.921 3475.2 3.5788E+12 3.5788E+12

989.52 1.7297E-04 1.0858E-04 7.0940E+06 4.4539E+06 -2.4851E+05 -1.5608E+05 8.4064 5.2767 2716.3 3.5788E+12 3.5788E+12

1000.2 1.2604E-07 7.8716E-08 4.4497E+06 2.7931E+06 -2.6236E+05 -1.6473E+05 2595.4 1620.9 1873.7 3.5788E+12 3.5788E+12

1010.8 -3.1961E-05 -2.0062E-05 1.5114E+06 9.4869E+05 -2.1104E+05 -1.3247E+05 -1.2241E+04 -7683.8 948.72 3.5788E+12 3.5788E+12

1021.4 -1.6238E-05 -1.0192E-05 -4.1256E+04 -2.5899E+04 -8.9651E+04 -5.6274E+04 -1.0577E+04 -6639.3 446.12 3.5788E+12 3.5788E+12

1032.1 -1.8195E-06 -1.1421E-06 -3.9645E+05 -2.4885E+05 -932.84 -585.39 -6099.3 -3828.6 468.27 3.5788E+12 3.5788E+12

1042.7 5.7561E-08 3.6131E-08 -6.1123E+04 -3.8367E+04 1.8712E+04 1.1746E+04 2406.6 1510.6 292.89 3.5788E+12 3.5788E+12

1053.4 1.0858E-09 6.8158E-10 1751.0 1099.1 2872.3 1803.0 570.84 358.32 197.22 3.5788E+12 3.5788E+12

1064.0 -5.4187E-14 -3.4014E-14 3.2431E-15 -1.7492E-15 5.8259E-15 -5.8768E-15 -30.933 -19.417 118.42 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 26

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

Page 102: Willis Avenue Bridge – Pivot Pier

101

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

2.4980E-02 3.5603 2.1417 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

1.3012E+06 2.9264E+05 1.7594E+05 8.4490E+05 -6.8866E+07 1.1457E+08

STR,LBS/IN**2

3.2956E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

2.4980E-02 3.5603 2.1417 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

1.3012E+06 2.9264E+05 1.7594E+05 8.4490E+05 -6.8866E+07 1.1457E+08

STR,LBS/IN**2

3.2956E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.5603 2.1417 -1.1457E+08 -6.8866E+07 2.9268E+05 1.7596E+05 0.0000 0.0000 3.2956E+04 3.5788E+12 3.5788E+12

10.640 3.5581 2.1403 -1.1145E+08 -6.6993E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 3.2072E+04 3.5788E+12 3.5788E+12

21.280 3.5524 2.1368 -1.0833E+08 -6.5118E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 3.1187E+04 3.5788E+12 3.5788E+12

31.920 3.5432 2.1313 -1.0521E+08 -6.3240E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 3.0301E+04 3.5788E+12 3.5788E+12

42.560 3.5307 2.1238 -1.0208E+08 -6.1359E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 2.9414E+04 3.5788E+12 3.5788E+12

53.200 3.5150 2.1143 -9.8948E+07 -5.9476E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 2.8526E+04 3.5788E+12 3.5788E+12

63.840 3.4962 2.1029 -9.5812E+07 -5.7590E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 2.7636E+04 3.5788E+12 3.5788E+12

74.480 3.4743 2.0898 -9.2671E+07 -5.5702E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 2.6745E+04 3.5788E+12 3.5788E+12

85.120 3.4495 2.0748 -8.9527E+07 -5.3812E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 2.5853E+04 3.5788E+12 3.5788E+12

95.760 3.4219 2.0582 -8.6380E+07 -5.1920E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 2.4961E+04 3.5788E+12 3.5788E+12

106.40 3.3915 2.0399 -8.3228E+07 -5.0025E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 2.4067E+04 3.5788E+12 3.5788E+12

117.04 3.3585 2.0200 -8.0074E+07 -4.8128E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 2.3172E+04 3.5788E+12 3.5788E+12

127.68 3.3230 1.9986 -7.6916E+07 -4.6230E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 2.2276E+04 3.5788E+12 3.5788E+12

138.32 3.2850 1.9758 -7.3755E+07 -4.4329E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 2.1379E+04 3.5788E+12 3.5788E+12

148.96 3.2447 1.9515 -7.0590E+07 -4.2427E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 2.0482E+04 3.5788E+12 3.5788E+12

159.60 3.2022 1.9259 -6.7423E+07 -4.0523E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 1.9583E+04 3.5788E+12 3.5788E+12

170.24 3.1575 1.8991 -6.4253E+07 -3.8617E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 1.8684E+04 3.5788E+12 3.5788E+12

180.88 3.1108 1.8710 -6.1081E+07 -3.6709E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 1.7784E+04 3.5788E+12 3.5788E+12

191.52 3.0622 1.8417 -5.7906E+07 -3.4800E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 1.6884E+04 3.5788E+12 3.5788E+12

202.16 3.0117 1.8114 -5.4729E+07 -3.2890E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 1.5983E+04 3.5788E+12 3.5788E+12

212.80 2.9596 1.7799 -5.1549E+07 -3.0978E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 1.5081E+04 3.5788E+12 3.5788E+12

223.44 2.9057 1.7476 -4.8367E+07 -2.9065E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 1.4178E+04 3.5788E+12 3.5788E+12

234.08 2.8504 1.7143 -4.5183E+07 -2.7151E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 1.3275E+04 3.5788E+12 3.5788E+12

244.72 2.7936 1.6801 -4.1998E+07 -2.5236E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 1.2371E+04 3.5788E+12 3.5788E+12

255.36 2.7355 1.6452 -3.8810E+07 -2.3320E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 1.1467E+04 3.5788E+12 3.5788E+12

266.00 2.6761 1.6095 -3.5621E+07 -2.1402E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 1.0563E+04 3.5788E+12 3.5788E+12

276.64 2.6157 1.5731 -3.2431E+07 -1.9484E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 9657.7 3.5788E+12 3.5788E+12

Page 103: Willis Avenue Bridge – Pivot Pier

102

287.28 2.5542 1.5361 -2.9239E+07 -1.7565E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 8752.4 3.5788E+12 3.5788E+12

297.92 2.4918 1.4985 -2.6046E+07 -1.5646E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 7846.7 3.5788E+12 3.5788E+12

308.56 2.4285 1.4605 -2.2852E+07 -1.3725E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 6940.7 3.5788E+12 3.5788E+12

319.20 2.3646 1.4220 -1.9657E+07 -1.1804E+07 2.9246E+05 1.7583E+05 0.0000 0.0000 6034.4 3.5788E+12 3.5788E+12

329.84 2.3000 1.3832 -1.6461E+07 -9.8829E+06 2.9246E+05 1.7583E+05 0.0000 0.0000 5127.9 3.5788E+12 3.5788E+12

340.48 2.2349 1.3440 -1.3265E+07 -7.9611E+06 2.9246E+05 1.7583E+05 0.0000 0.0000 4221.2 3.5788E+12 3.5788E+12

351.12 2.1694 1.3046 -1.0068E+07 -6.0390E+06 2.9246E+05 1.7583E+05 0.0000 0.0000 3314.4 3.5788E+12 3.5788E+12

361.76 2.1035 1.2650 -6.8706E+06 -4.1166E+06 2.9246E+05 1.7583E+05 0.0000 0.0000 2407.4 3.5788E+12 3.5788E+12

372.40 2.0375 1.2253 -3.6729E+06 -2.1941E+06 2.9240E+05 1.7580E+05 10.892 6.5502 1500.4 3.5788E+12 3.5788E+12

383.04 1.9713 1.1855 -4.7626E+05 -2.7220E+05 2.9195E+05 1.7553E+05 72.660 43.696 593.63 3.5788E+12 3.5788E+12

393.68 1.9051 1.1457 2.7122E+06 1.6448E+06 2.9073E+05 1.7479E+05 158.00 95.017 1231.3 3.5788E+12 3.5788E+12

404.32 1.8390 1.1059 5.8826E+06 3.5509E+06 2.8847E+05 1.7344E+05 265.85 159.87 2130.6 3.5788E+12 3.5788E+12

414.96 1.7731 1.0663 9.0226E+06 5.4388E+06 2.8495E+05 1.7132E+05 395.69 237.95 3021.3 3.5788E+12 3.5788E+12

425.60 1.7074 1.0268 1.2118E+07 7.2995E+06 2.7992E+05 1.6829E+05 550.36 330.97 3899.2 3.5788E+12 3.5788E+12

436.24 1.6422 0.9875 1.5150E+07 9.1224E+06 2.7252E+05 1.6384E+05 841.71 506.17 4758.8 3.5788E+12 3.5788E+12

446.88 1.5774 0.9486 1.8086E+07 1.0888E+07 2.6344E+05 1.5838E+05 867.17 521.48 5591.2 3.5788E+12 3.5788E+12

457.52 1.5132 0.9100 2.0923E+07 1.2594E+07 2.5409E+05 1.5276E+05 891.53 536.13 6395.5 3.5788E+12 3.5788E+12

468.16 1.4497 0.8718 2.3659E+07 1.4238E+07 2.4449E+05 1.4699E+05 914.86 550.15 7171.0 3.5788E+12 3.5788E+12

478.80 1.3869 0.8340 2.6290E+07 1.5820E+07 2.3464E+05 1.4106E+05 937.17 563.57 7916.8 3.5788E+12 3.5788E+12

489.44 1.3249 0.7967 2.8813E+07 1.7337E+07 2.2457E+05 1.3500E+05 958.47 576.37 8632.2 3.5788E+12 3.5788E+12

500.08 1.2639 0.7600 3.1227E+07 1.8788E+07 2.1427E+05 1.2881E+05 978.76 588.57 9316.5 3.5788E+12 3.5788E+12

510.72 1.2038 0.7239 3.3529E+07 2.0172E+07 2.0376E+05 1.2249E+05 998.02 600.15 9969.0 3.5788E+12 3.5788E+12

521.36 1.1448 0.6884 3.5717E+07 2.1487E+07 1.9305E+05 1.1605E+05 1016.2 611.11 1.0589E+04 3.5788E+12 3.5788E+12

532.00 1.0870 0.6536 3.7788E+07 2.2732E+07 1.8215E+05 1.0950E+05 1033.4 621.43 1.1176E+04 3.5788E+12 3.5788E+12

542.64 1.0303 0.6195 3.9741E+07 2.3906E+07 1.7108E+05 1.0284E+05 1049.5 631.11 1.1730E+04 3.5788E+12 3.5788E+12

553.28 0.9749 0.5862 4.1573E+07 2.5008E+07 1.5984E+05 9.6080E+04 1064.5 640.14 1.2249E+04 3.5788E+12 3.5788E+12

563.92 0.9208 0.5537 4.3283E+07 2.6036E+07 1.4844E+05 8.9228E+04 1078.4 648.49 1.2733E+04 3.5788E+12 3.5788E+12

574.56 0.8680 0.5220 4.4869E+07 2.6989E+07 1.3691E+05 8.2291E+04 1091.2 656.17 1.3183E+04 3.5788E+12 3.5788E+12

585.20 0.8167 0.4911 4.6330E+07 2.7867E+07 1.2524E+05 7.5275E+04 1102.8 663.16 1.3597E+04 3.5788E+12 3.5788E+12

595.84 0.7669 0.4611 4.7664E+07 2.8669E+07 1.1345E+05 6.8189E+04 1113.3 669.43 1.3975E+04 3.5788E+12 3.5788E+12

606.48 0.7186 0.4321 4.8870E+07 2.9394E+07 1.0157E+05 6.1040E+04 1122.5 674.99 1.4316E+04 3.5788E+12 3.5788E+12

617.12 0.6718 0.4039 4.9947E+07 3.0041E+07 8.9584E+04 5.3835E+04 1130.5 679.80 1.4622E+04 3.5788E+12 3.5788E+12

627.76 0.6265 0.3768 5.0894E+07 3.0610E+07 7.7524E+04 4.6584E+04 1137.3 683.87 1.4890E+04 3.5788E+12 3.5788E+12

638.40 0.5829 0.3505 5.1710E+07 3.1101E+07 6.5399E+04 3.9292E+04 1142.8 687.17 1.5121E+04 3.5788E+12 3.5788E+12

649.04 0.5410 0.3253 5.2395E+07 3.1512E+07 5.3221E+04 3.1970E+04 1147.0 689.68 1.5315E+04 3.5788E+12 3.5788E+12

659.68 0.5007 0.3011 5.2948E+07 3.1844E+07 4.1006E+04 2.4625E+04 1149.8 691.40 1.5471E+04 3.5788E+12 3.5788E+12

670.32 0.4620 0.2778 5.3368E+07 3.2096E+07 2.8768E+04 1.7266E+04 1151.3 692.29 1.5590E+04 3.5788E+12 3.5788E+12

680.96 0.4251 0.2556 5.3656E+07 3.2269E+07 1.6521E+04 9902.1 1151.4 692.35 1.5671E+04 3.5788E+12 3.5788E+12

691.60 0.3898 0.2344 5.3812E+07 3.2362E+07 4280.2 2541.8 1150.1 691.56 1.5715E+04 3.5788E+12 3.5788E+12

702.24 0.3563 0.2142 5.3835E+07 3.2376E+07 -7939.1 -4805.6 1147.3 689.89 1.5721E+04 3.5788E+12 3.5788E+12

712.88 0.3245 0.1951 5.3726E+07 3.2310E+07 -2.0121E+04 -1.2131E+04 1143.1 687.33 1.5690E+04 3.5788E+12 3.5788E+12

723.52 0.2943 0.1770 5.3485E+07 3.2165E+07 -3.2250E+04 -1.9424E+04 1137.3 683.85 1.5621E+04 3.5788E+12 3.5788E+12

734.16 0.2659 0.1599 5.3114E+07 3.1941E+07 -4.4309E+04 -2.6675E+04 1130.0 679.43 1.5515E+04 3.5788E+12 3.5788E+12

744.80 0.2391 0.1438 5.2612E+07 3.1640E+07 -5.6282E+04 -3.3874E+04 1121.0 674.05 1.5373E+04 3.5788E+12 3.5788E+12

755.44 0.2140 0.1287 5.1982E+07 3.1260E+07 -6.8151E+04 -4.1010E+04 1110.4 667.68 1.5193E+04 3.5788E+12 3.5788E+12

766.08 0.1905 0.1146 5.1223E+07 3.0804E+07 -7.9899E+04 -4.8074E+04 1098.2 660.29 1.4978E+04 3.5788E+12 3.5788E+12

776.72 0.1687 0.1014 5.0339E+07 3.0272E+07 -9.1507E+04 -5.5053E+04 1084.2 651.87 1.4727E+04 3.5788E+12 3.5788E+12

787.36 0.1484 8.9242E-02 4.9329E+07 2.9664E+07 -1.0296E+05 -6.1938E+04 1068.4 642.37 1.4440E+04 3.5788E+12 3.5788E+12

798.00 0.1297 7.8004E-02 4.8197E+07 2.8983E+07 -1.1423E+05 -6.8715E+04 1050.7 631.77 1.4118E+04 3.5788E+12 3.5788E+12

808.64 0.1126 6.7683E-02 4.6944E+07 2.8229E+07 -1.2530E+05 -7.5374E+04 1031.2 620.02 1.3763E+04 3.5788E+12 3.5788E+12

819.28 9.6891E-02 5.8255E-02 4.5572E+07 2.7404E+07 -1.3616E+05 -8.1901E+04 1009.7 607.10 1.3373E+04 3.5788E+12 3.5788E+12

829.92 8.2653E-02 4.9694E-02 4.4084E+07 2.6509E+07 -1.4678E+05 -8.8285E+04 986.24 592.97 1.2951E+04 3.5788E+12 3.5788E+12

840.56 6.9809E-02 4.1971E-02 4.2483E+07 2.5546E+07 -1.5713E+05 -9.4511E+04 960.65 577.57 1.2496E+04 3.5788E+12 3.5788E+12

851.20 5.8309E-02 3.5057E-02 4.0771E+07 2.4516E+07 -1.7068E+05 -1.0265E+05 1585.4 953.20 1.2010E+04 3.5788E+12 3.5788E+12

861.84 4.8099E-02 2.8918E-02 3.8878E+07 2.3378E+07 -1.8746E+05 -1.1275E+05 1569.9 943.85 1.1473E+04 3.5788E+12 3.5788E+12

872.48 3.9119E-02 2.3518E-02 3.6806E+07 2.2132E+07 -2.0289E+05 -1.2202E+05 1328.8 798.90 1.0885E+04 3.5788E+12 3.5788E+12

883.12 3.1303E-02 1.8819E-02 3.4582E+07 2.0794E+07 -2.1583E+05 -1.2980E+05 1105.0 664.30 1.0254E+04 3.5788E+12 3.5788E+12

893.76 2.4581E-02 1.4778E-02 3.2231E+07 1.9380E+07 -2.2650E+05 -1.3622E+05 900.38 541.29 9586.9 3.5788E+12 3.5788E+12

904.40 1.8879E-02 1.1349E-02 2.9777E+07 1.7905E+07 -2.3510E+05 -1.4139E+05 716.61 430.81 8890.6 3.5788E+12 3.5788E+12

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103

915.04 1.4118E-02 8.4872E-03 2.7241E+07 1.6380E+07 -2.4187E+05 -1.4545E+05 554.69 333.45 8171.1 3.5788E+12 3.5788E+12

925.68 1.0219E-02 6.1433E-03 2.4641E+07 1.4816E+07 -2.4703E+05 -1.4855E+05 415.10 249.54 7433.4 3.5788E+12 3.5788E+12

936.32 7.1003E-03 4.2681E-03 2.1993E+07 1.3224E+07 -2.5082E+05 -1.5083E+05 297.85 179.04 6682.1 3.5788E+12 3.5788E+12

946.96 4.6768E-03 2.8112E-03 1.9311E+07 1.1610E+07 -2.5348E+05 -1.5243E+05 202.41 121.67 5920.9 3.5788E+12 3.5788E+12

957.60 2.8642E-03 1.7216E-03 1.6605E+07 9.9830E+06 -2.5524E+05 -1.5349E+05 127.77 76.798 5153.1 3.5788E+12 3.5788E+12

968.24 1.5769E-03 9.4775E-04 1.3883E+07 8.3465E+06 -2.5630E+05 -1.5413E+05 72.441 43.539 4381.0 3.5788E+12 3.5788E+12

978.88 7.2875E-04 4.3796E-04 1.1153E+07 6.7047E+06 -2.5687E+05 -1.5447E+05 34.447 20.702 3606.4 3.5788E+12 3.5788E+12

989.52 2.3342E-04 1.4027E-04 8.4188E+06 5.0603E+06 -2.5711E+05 -1.5462E+05 11.344 6.8168 2830.6 3.5788E+12 3.5788E+12

1000.2 4.4132E-06 2.6463E-06 5.6827E+06 3.4150E+06 -2.9555E+05 -1.7766E+05 7213.4 4325.3 2000.5 3.5788E+12 3.5788E+12

1010.8 -4.4833E-05 -2.6944E-05 2.1299E+06 1.2799E+06 -2.6192E+05 -1.5740E+05 -1.3534E+04 -8134.1 939.62 3.5788E+12 3.5788E+12

1021.4 -2.6704E-05 -1.6048E-05 1.0917E+05 6.5562E+04 -1.2447E+05 -7.4798E+04 -1.2301E+04 -7392.4 313.97 3.5788E+12 3.5788E+12

1032.1 -5.1220E-06 -3.0779E-06 -5.1892E+05 -3.1185E+05 -1.2856E+04 -7723.5 -8679.3 -5215.6 378.18 3.5788E+12 3.5788E+12

1042.7 4.5268E-08 2.7208E-08 -1.6442E+05 -9.8804E+04 2.4419E+04 1.4675E+04 1672.7 1005.4 226.07 3.5788E+12 3.5788E+12

1053.4 1.1355E-08 6.8239E-09 713.07 428.66 7726.4 4643.0 1464.9 880.33 128.40 3.5788E+12 3.5788E+12

1064.0 -7.0301E-14 -4.2262E-14 3.6516E-15 2.5293E-14 3.0961E-15 8.6194E-16 -12.597 -7.5729 77.172 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

* PILE GROUP * 27

* PILE TOP DISPLACEMENTS AND REACTIONS *

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

3.4295E-02 3.4848 2.1619 2.7962E-04 2.4774E-05 -3.6324E-05

FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

1.7874E+06 2.8545E+05 1.7701E+05 8.4490E+05 -6.9653E+07 1.1234E+08

STR,LBS/IN**2

3.2765E+04

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

3.4295E-02 3.4848 2.1619 2.7962E-04 2.4774E-05 -3.6324E-05

AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

1.7874E+06 2.8545E+05 1.7701E+05 8.4490E+05 -6.9653E+07 1.1234E+08

STR,LBS/IN**2

3.2765E+04

* EFFECTS FOR LATERALLY LOADED PILE *

x DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

Page 105: Willis Avenue Bridge – Pivot Pier

104

********** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

0.0000 3.4848 2.1619 -1.1234E+08 -6.9653E+07 2.8550E+05 1.7704E+05 0.0000 0.0000 3.2765E+04 3.5788E+12 3.5788E+12

10.640 3.4826 2.1605 -1.0930E+08 -6.7769E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 3.1896E+04 3.5788E+12 3.5788E+12

21.280 3.4770 2.1570 -1.0626E+08 -6.5881E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 3.1025E+04 3.5788E+12 3.5788E+12

31.920 3.4680 2.1514 -1.0320E+08 -6.3989E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 3.0152E+04 3.5788E+12 3.5788E+12

42.560 3.4558 2.1438 -1.0015E+08 -6.2094E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 2.9278E+04 3.5788E+12 3.5788E+12

53.200 3.4404 2.1342 -9.7086E+07 -6.0195E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 2.8402E+04 3.5788E+12 3.5788E+12

63.840 3.4219 2.1227 -9.4019E+07 -5.8293E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 2.7525E+04 3.5788E+12 3.5788E+12

74.480 3.4004 2.1094 -9.0946E+07 -5.6387E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 2.6646E+04 3.5788E+12 3.5788E+12

85.120 3.3761 2.0943 -8.7868E+07 -5.4479E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 2.5765E+04 3.5788E+12 3.5788E+12

95.760 3.3490 2.0774 -8.4785E+07 -5.2567E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 2.4883E+04 3.5788E+12 3.5788E+12

106.40 3.3192 2.0589 -8.1697E+07 -5.0652E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 2.4000E+04 3.5788E+12 3.5788E+12

117.04 3.2868 2.0388 -7.8605E+07 -4.8734E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 2.3116E+04 3.5788E+12 3.5788E+12

127.68 3.2519 2.0172 -7.5508E+07 -4.6814E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 2.2230E+04 3.5788E+12 3.5788E+12

138.32 3.2146 1.9941 -7.2407E+07 -4.4891E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 2.1343E+04 3.5788E+12 3.5788E+12

148.96 3.1751 1.9695 -6.9301E+07 -4.2965E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 2.0454E+04 3.5788E+12 3.5788E+12

159.60 3.1334 1.9436 -6.6192E+07 -4.1037E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 1.9565E+04 3.5788E+12 3.5788E+12

170.24 3.0895 1.9164 -6.3079E+07 -3.9107E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 1.8675E+04 3.5788E+12 3.5788E+12

180.88 3.0437 1.8880 -5.9963E+07 -3.7174E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 1.7783E+04 3.5788E+12 3.5788E+12

191.52 2.9960 1.8584 -5.6843E+07 -3.5239E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 1.6891E+04 3.5788E+12 3.5788E+12

202.16 2.9464 1.8276 -5.3720E+07 -3.3303E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 1.5997E+04 3.5788E+12 3.5788E+12

212.80 2.8952 1.7959 -5.0594E+07 -3.1364E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 1.5103E+04 3.5788E+12 3.5788E+12

223.44 2.8424 1.7631 -4.7465E+07 -2.9424E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 1.4208E+04 3.5788E+12 3.5788E+12

234.08 2.7881 1.7294 -4.4334E+07 -2.7482E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 1.3312E+04 3.5788E+12 3.5788E+12

244.72 2.7323 1.6948 -4.1199E+07 -2.5538E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 1.2416E+04 3.5788E+12 3.5788E+12

255.36 2.6753 1.6594 -3.8063E+07 -2.3593E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 1.1519E+04 3.5788E+12 3.5788E+12

266.00 2.6171 1.6233 -3.4924E+07 -2.1647E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 1.0621E+04 3.5788E+12 3.5788E+12

276.64 2.5577 1.5865 -3.1784E+07 -1.9699E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 9722.6 3.5788E+12 3.5788E+12

287.28 2.4974 1.5490 -2.8642E+07 -1.7751E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 8823.7 3.5788E+12 3.5788E+12

297.92 2.4361 1.5110 -2.5498E+07 -1.5801E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 7924.4 3.5788E+12 3.5788E+12

308.56 2.3741 1.4725 -2.2352E+07 -1.3850E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 7024.6 3.5788E+12 3.5788E+12

319.20 2.3113 1.4336 -1.9205E+07 -1.1899E+07 2.8520E+05 1.7686E+05 0.0000 0.0000 6124.5 3.5788E+12 3.5788E+12

329.84 2.2479 1.3943 -1.6058E+07 -9.9469E+06 2.8520E+05 1.7686E+05 0.0000 0.0000 5224.1 3.5788E+12 3.5788E+12

340.48 2.1840 1.3547 -1.2909E+07 -7.9943E+06 2.8520E+05 1.7686E+05 0.0000 0.0000 4323.4 3.5788E+12 3.5788E+12

351.12 2.1198 1.3148 -9.7595E+06 -6.0413E+06 2.8520E+05 1.7686E+05 0.0000 0.0000 3422.6 3.5788E+12 3.5788E+12

361.76 2.0552 1.2747 -6.6096E+06 -4.0879E+06 2.8520E+05 1.7686E+05 0.0000 0.0000 2521.5 3.5788E+12 3.5788E+12

372.40 1.9903 1.2345 -3.4592E+06 -2.1343E+06 2.8514E+05 1.7682E+05 10.801 6.6993 1620.4 3.5788E+12 3.5788E+12

383.04 1.9254 1.1942 -3.0990E+05 -1.8130E+05 2.8470E+05 1.7655E+05 72.053 44.690 719.50 3.5788E+12 3.5788E+12

393.68 1.8605 1.1540 2.8313E+06 1.7666E+06 2.8349E+05 1.7580E+05 155.67 96.553 1443.5 3.5788E+12 3.5788E+12

404.32 1.7957 1.1137 5.9547E+06 3.7035E+06 2.8127E+05 1.7442E+05 262.03 162.52 2336.9 3.5788E+12 3.5788E+12

414.96 1.7310 1.0736 9.0481E+06 5.6218E+06 2.7780E+05 1.7227E+05 390.04 241.92 3221.7 3.5788E+12 3.5788E+12

425.60 1.6666 1.0337 1.2097E+07 7.5124E+06 2.7284E+05 1.6919E+05 542.56 336.51 4093.8 3.5788E+12 3.5788E+12

436.24 1.6027 0.9940 1.5083E+07 9.3645E+06 2.6554E+05 1.6466E+05 831.35 515.63 4947.4 3.5788E+12 3.5788E+12

446.88 1.5392 0.9546 1.7975E+07 1.1158E+07 2.5657E+05 1.5910E+05 856.45 531.20 5774.0 3.5788E+12 3.5788E+12

457.52 1.4762 0.9156 2.0769E+07 1.2890E+07 2.4734E+05 1.5338E+05 880.47 546.09 6572.4 3.5788E+12 3.5788E+12

468.16 1.4140 0.8770 2.3462E+07 1.4560E+07 2.3786E+05 1.4750E+05 903.46 560.35 7342.1 3.5788E+12 3.5788E+12

478.80 1.3524 0.8388 2.6051E+07 1.6165E+07 2.2814E+05 1.4147E+05 925.45 573.98 8082.1 3.5788E+12 3.5788E+12

489.44 1.2917 0.8011 2.8534E+07 1.7705E+07 2.1819E+05 1.3530E+05 946.43 586.99 8791.7 3.5788E+12 3.5788E+12

500.08 1.2319 0.7640 3.0908E+07 1.9177E+07 2.0803E+05 1.2899E+05 966.40 599.38 9470.3 3.5788E+12 3.5788E+12

510.72 1.1731 0.7276 3.3171E+07 2.0581E+07 1.9765E+05 1.2256E+05 985.36 611.14 1.0117E+04 3.5788E+12 3.5788E+12

521.36 1.1153 0.6917 3.5321E+07 2.1914E+07 1.8708E+05 1.1600E+05 1003.3 622.25 1.0731E+04 3.5788E+12 3.5788E+12

532.00 1.0586 0.6566 3.7355E+07 2.3175E+07 1.7633E+05 1.0933E+05 1020.2 632.72 1.1313E+04 3.5788E+12 3.5788E+12

542.64 1.0031 0.6222 3.9271E+07 2.4363E+07 1.6540E+05 1.0255E+05 1036.0 642.53 1.1860E+04 3.5788E+12 3.5788E+12

553.28 0.9489 0.5885 4.1069E+07 2.5478E+07 1.5430E+05 9.5674E+04 1050.7 651.67 1.2374E+04 3.5788E+12 3.5788E+12

563.92 0.8960 0.5557 4.2744E+07 2.6517E+07 1.4306E+05 8.8700E+04 1064.4 660.13 1.2852E+04 3.5788E+12 3.5788E+12

574.56 0.8444 0.5237 4.4297E+07 2.7480E+07 1.3168E+05 8.1640E+04 1076.9 667.89 1.3296E+04 3.5788E+12 3.5788E+12

585.20 0.7942 0.4926 4.5726E+07 2.8365E+07 1.2017E+05 7.4501E+04 1088.3 674.94 1.3704E+04 3.5788E+12 3.5788E+12

595.84 0.7454 0.4623 4.7029E+07 2.9173E+07 1.0854E+05 6.7290E+04 1098.5 681.26 1.4076E+04 3.5788E+12 3.5788E+12

606.48 0.6982 0.4330 4.8204E+07 2.9902E+07 9.6811E+04 6.0016E+04 1107.5 686.85 1.4412E+04 3.5788E+12 3.5788E+12

Page 106: Willis Avenue Bridge – Pivot Pier

105

617.12 0.6525 0.4046 4.9252E+07 3.0552E+07 8.4992E+04 5.2687E+04 1115.3 691.68 1.4711E+04 3.5788E+12 3.5788E+12

627.76 0.6083 0.3773 5.0171E+07 3.1121E+07 7.3097E+04 4.5309E+04 1121.8 695.75 1.4973E+04 3.5788E+12 3.5788E+12

638.40 0.5657 0.3508 5.0960E+07 3.1610E+07 6.1139E+04 3.7893E+04 1127.1 699.02 1.5198E+04 3.5788E+12 3.5788E+12

649.04 0.5247 0.3254 5.1619E+07 3.2018E+07 4.9131E+04 3.0446E+04 1131.1 701.50 1.5386E+04 3.5788E+12 3.5788E+12

659.68 0.4854 0.3010 5.2146E+07 3.2345E+07 3.7088E+04 2.2976E+04 1133.8 703.16 1.5537E+04 3.5788E+12 3.5788E+12

670.32 0.4477 0.2777 5.2543E+07 3.2591E+07 2.5022E+04 1.5494E+04 1135.1 703.98 1.5649E+04 3.5788E+12 3.5788E+12

680.96 0.4117 0.2553 5.2808E+07 3.2755E+07 1.2950E+04 8006.5 1135.1 703.94 1.5725E+04 3.5788E+12 3.5788E+12

691.60 0.3773 0.2340 5.2941E+07 3.2838E+07 885.26 524.31 1133.6 703.03 1.5762E+04 3.5788E+12 3.5788E+12

702.24 0.3446 0.2137 5.2944E+07 3.2839E+07 -1.1156E+04 -6943.7 1130.7 701.23 1.5763E+04 3.5788E+12 3.5788E+12

712.88 0.3136 0.1945 5.2815E+07 3.2759E+07 -2.3159E+04 -1.4388E+04 1126.3 698.51 1.5725E+04 3.5788E+12 3.5788E+12

723.52 0.2843 0.1763 5.2556E+07 3.2598E+07 -3.5108E+04 -2.1798E+04 1120.4 694.85 1.5651E+04 3.5788E+12 3.5788E+12

734.16 0.2566 0.1591 5.2167E+07 3.2357E+07 -4.6986E+04 -2.9164E+04 1113.0 690.23 1.5539E+04 3.5788E+12 3.5788E+12

744.80 0.2306 0.1430 5.1650E+07 3.2035E+07 -5.8777E+04 -3.6477E+04 1103.9 684.63 1.5390E+04 3.5788E+12 3.5788E+12

755.44 0.2062 0.1279 5.1004E+07 3.1635E+07 -7.0463E+04 -4.3724E+04 1093.3 678.02 1.5205E+04 3.5788E+12 3.5788E+12

766.08 0.1834 0.1138 5.0232E+07 3.1156E+07 -8.2027E+04 -5.0896E+04 1081.0 670.37 1.4984E+04 3.5788E+12 3.5788E+12

776.72 0.1622 0.1006 4.9335E+07 3.0599E+07 -9.3451E+04 -5.7980E+04 1066.9 661.65 1.4727E+04 3.5788E+12 3.5788E+12

787.36 0.1426 8.8442E-02 4.8314E+07 2.9966E+07 -1.0472E+05 -6.4967E+04 1051.1 651.84 1.4434E+04 3.5788E+12 3.5788E+12

798.00 0.1245 7.7217E-02 4.7172E+07 2.9257E+07 -1.1580E+05 -7.1843E+04 1033.5 640.90 1.4107E+04 3.5788E+12 3.5788E+12

808.64 0.1079 6.6919E-02 4.5910E+07 2.8474E+07 -1.2669E+05 -7.8596E+04 1013.9 628.79 1.3746E+04 3.5788E+12 3.5788E+12

819.28 9.2754E-02 5.7521E-02 4.4531E+07 2.7619E+07 -1.3737E+05 -8.5215E+04 992.50 615.49 1.3351E+04 3.5788E+12 3.5788E+12

829.92 7.9009E-02 4.8996E-02 4.3037E+07 2.6692E+07 -1.4780E+05 -9.1685E+04 969.04 600.94 1.2923E+04 3.5788E+12 3.5788E+12

840.56 6.6626E-02 4.1316E-02 4.1431E+07 2.5696E+07 -1.5797E+05 -9.7994E+04 943.52 585.10 1.2463E+04 3.5788E+12 3.5788E+12

851.20 5.5553E-02 3.4449E-02 3.9716E+07 2.4632E+07 -1.7119E+05 -1.0619E+05 1540.7 955.45 1.1972E+04 3.5788E+12 3.5788E+12

861.84 4.5736E-02 2.8362E-02 3.7824E+07 2.3458E+07 -1.8733E+05 -1.1620E+05 1492.8 925.69 1.1430E+04 3.5788E+12 3.5788E+12

872.48 3.7116E-02 2.3016E-02 3.5761E+07 2.2179E+07 -2.0198E+05 -1.2528E+05 1260.8 781.82 1.0840E+04 3.5788E+12 3.5788E+12

883.12 2.9627E-02 1.8372E-02 3.3554E+07 2.0810E+07 -2.1425E+05 -1.3289E+05 1045.8 648.50 1.0208E+04 3.5788E+12 3.5788E+12

893.76 2.3199E-02 1.4386E-02 3.1226E+07 1.9366E+07 -2.2433E+05 -1.3914E+05 849.76 526.93 9542.3 3.5788E+12 3.5788E+12

904.40 1.7759E-02 1.1012E-02 2.8800E+07 1.7861E+07 -2.3244E+05 -1.4417E+05 674.13 418.01 8848.2 3.5788E+12 3.5788E+12

915.04 1.3231E-02 8.2039E-03 2.6297E+07 1.6308E+07 -2.3879E+05 -1.4811E+05 519.82 322.33 8131.8 3.5788E+12 3.5788E+12

925.68 9.5339E-03 5.9115E-03 2.3733E+07 1.4718E+07 -2.4361E+05 -1.5110E+05 387.26 240.12 7398.2 3.5788E+12 3.5788E+12

936.32 6.5878E-03 4.0847E-03 2.1124E+07 1.3100E+07 -2.4714E+05 -1.5329E+05 276.35 171.35 6651.7 3.5788E+12 3.5788E+12

946.96 4.3100E-03 2.6723E-03 1.8483E+07 1.1462E+07 -2.4961E+05 -1.5482E+05 186.53 115.65 5895.9 3.5788E+12 3.5788E+12

957.60 2.6169E-03 1.6225E-03 1.5819E+07 9.8100E+06 -2.5122E+05 -1.5582E+05 116.74 72.377 5133.7 3.5788E+12 3.5788E+12

968.24 1.4242E-03 8.8297E-04 1.3142E+07 8.1493E+06 -2.5219E+05 -1.5642E+05 65.428 40.563 4367.6 3.5788E+12 3.5788E+12

978.88 6.4727E-04 4.0126E-04 1.0456E+07 6.4835E+06 -2.5270E+05 -1.5673E+05 30.596 18.967 3599.1 3.5788E+12 3.5788E+12

989.52 2.0108E-04 1.2464E-04 7.7666E+06 4.8153E+06 -2.5291E+05 -1.5687E+05 9.7721 6.0574 2829.5 3.5788E+12 3.5788E+12

1000.2 5.6862E-07 3.5152E-07 5.0754E+06 3.1461E+06 -2.7958E+05 -1.7335E+05 5002.4 3092.4 1985.0 3.5788E+12 3.5788E+12

1010.8 -3.9386E-05 -2.4415E-05 1.8176E+06 1.1267E+06 -2.3733E+05 -1.4712E+05 -1.2943E+04 -8023.2 980.24 3.5788E+12 3.5788E+12

1021.4 -2.1844E-05 -1.3541E-05 2.5025E+04 1.5505E+04 -1.0737E+05 -6.6556E+04 -1.1486E+04 -7119.6 395.44 3.5788E+12 3.5788E+12

1032.1 -3.5103E-06 -2.1760E-06 -4.6728E+05 -2.8966E+05 -6507.3 -4033.3 -7473.8 -4632.8 450.58 3.5788E+12 3.5788E+12

1042.7 4.1811E-08 2.5918E-08 -1.1347E+05 -7.0337E+04 2.2008E+04 1.3642E+04 2113.8 1310.3 278.64 3.5788E+12 3.5788E+12

1053.4 4.4890E-09 2.7826E-09 1037.9 643.39 5332.2 3305.3 1020.6 632.66 176.18 3.5788E+12 3.5788E+12

1064.0 -1.0606E-14 -6.5746E-15 3.6006E-15 -7.6608E-16 -4.5545E-15 2.8866E-15 -18.336 -11.366 105.88 3.5788E+12 3.5788E+12

NUMBER OF ITERATIONS IN LLP = 12

Page 107: Willis Avenue Bridge – Pivot Pier

106

Summary File =========================================================================

GROUP for Windows, Version 2013.8.18

Serial Number : 155948612

Analysis of A Group of Piles

Subjected to Axial and Lateral Loading

(c) Copyright ENSOFT, Inc., 1987-2013

All Rights Reserved

=========================================================================

-------------------------------------------------------------------------

Time and Date of Analysis

-------------------------------------------------------------------------

Date: December 17, 2015 Time: 14:04:41

***** COMPUTATION RESULTS *****

New Group

***** LOAD CASES RESULTS *****

LOAD CASE : 1

CASE NAME : Load Case

LOAD TYPE : Seismic, EQ

* TABLE L * COMPUTATION ON PILE CAP

* EQUIVALENT CONC. LOAD AT ORIGIN *

VERT. LOAD, LBS HOR. LOAD Y, LBS HOR. LOAD Z, LBS

2.07250E+07 7.87200E+06 4.53700E+06

MOMENT X ,IN-LBS MOMENT Y,IN-LBS MOMENT Z,IN-LBS

1.19148E+08 1.27531E+09 -1.39639E+09

Page 108: Willis Avenue Bridge – Pivot Pier

107

* DISPLACEMENT OF GROUPED PILE FOUNDATION AT ORIGIN *

VERTICAL ,IN HORIZONTAL Y,IN HORIZONTAL Z,IN

0.0146804 3.48478 2.01088

ANGLE ROT. X,RAD ANGLE ROT. Y,RAD ANGLE ROT. Z,RAD

2.79616E-04 2.47745E-05 -3.63243E-05

* TABLE M * COMPUTATION ON INDIVIDUAL PILE

THE GLOBAL STRUCTURAL COORDINATE SYSTEM

---------------------------------------

* PILE TOP DISPLACEMENTS *

PILE GROUP DISP. X,IN DISP. Y,IN DISP. Z,IN ROT. X,RAD ROT. Y,RAD ROT. Z,RAD

********** *********** *********** *********** *********** *********** ***********

1 -4.9348E-03 3.4848 1.8599 2.7962E-04 2.4775E-05 -3.6324E-05

2 -8.9976E-03 3.5603 1.8801 2.7962E-04 2.4775E-05 -3.6324E-05

3 4.3806E-03 3.4093 1.8801 2.7962E-04 2.4775E-05 -3.6324E-05

4 1.6036E-03 3.4848 1.9102 2.7962E-04 2.4775E-05 -3.6324E-05

5 1.6460E-02 3.3540 1.9354 2.7962E-04 2.4775E-05 -3.6324E-05

6 1.1740E-02 3.4136 1.9397 2.7962E-04 2.4775E-05 -3.6324E-05

7 -8.7540E-04 3.5560 1.9397 2.7962E-04 2.4775E-05 -3.6324E-05

8 -6.7142E-03 3.6156 1.9354 2.7962E-04 2.4775E-05 -3.6324E-05

9 6.7877E-03 3.5099 1.9673 2.7962E-04 2.4775E-05 -3.6324E-05

10 1.1247E-02 3.4596 1.9673 2.7962E-04 2.4775E-05 -3.6324E-05

11 2.8059E-02 3.3338 2.0109 2.7962E-04 2.4775E-05 -3.6324E-05

12 2.3599E-02 3.3841 2.0109 2.7962E-04 2.4775E-05 -3.6324E-05

13 1.9140E-02 3.4345 2.0109 2.7962E-04 2.4775E-05 -3.6324E-05

14 1.4680E-02 3.4848 2.0109 2.7962E-04 2.4775E-05 -3.6324E-05

15 1.0221E-02 3.5351 2.0109 2.7962E-04 2.4775E-05 -3.6324E-05

16 5.7615E-03 3.5854 2.0109 2.7962E-04 2.4775E-05 -3.6324E-05

17 1.3021E-03 3.6358 2.0109 2.7962E-04 2.4775E-05 -3.6324E-05

18 1.8114E-02 3.5099 2.0545 2.7962E-04 2.4775E-05 -3.6324E-05

19 2.2573E-02 3.4596 2.0545 2.7962E-04 2.4775E-05 -3.6324E-05

20 3.6075E-02 3.3540 2.0864 2.7962E-04 2.4775E-05 -3.6324E-05

21 3.0236E-02 3.4136 2.0821 2.7962E-04 2.4775E-05 -3.6324E-05

22 1.7621E-02 3.5560 2.0821 2.7962E-04 2.4775E-05 -3.6324E-05

23 1.2901E-02 3.6156 2.0864 2.7962E-04 2.4775E-05 -3.6324E-05

24 2.7757E-02 3.4848 2.1115 2.7962E-04 2.4775E-05 -3.6324E-05

25 3.8358E-02 3.4093 2.1417 2.7962E-04 2.4775E-05 -3.6324E-05

26 2.4980E-02 3.5603 2.1417 2.7962E-04 2.4775E-05 -3.6324E-05

27 3.4295E-02 3.4848 2.1619 2.7962E-04 2.4775E-05 -3.6324E-05

MINIMUM -8.9976E-03 3.3338 1.8599 2.7962E-04 2.4775E-05 -3.6324E-05

Pile N. 2 11 1 1 1 1

MAXIMUM 3.8358E-02 3.6358 2.1619 2.7962E-04 2.4775E-05 -3.6324E-05

Pile N. 25 17 27 1 1 1

* PILE TOP REACTIONS *

PILE GROUP FOR. X,LBS FOR. Y,LBS FOR. Z,LBS MOM X,LBS-IN MOM Y,LBS-IN MOM Z,LBS-IN

********** *********** *********** *********** *********** *********** ***********

1 -2.3992E+05 2.9755E+05 1.5863E+05 8.4490E+05 -6.0519E+07 1.1357E+08

Page 109: Willis Avenue Bridge – Pivot Pier

108

2 -4.3746E+05 3.0315E+05 1.5990E+05 8.4490E+05 -6.0960E+07 1.1562E+08

3 2.2819E+05 2.9037E+05 1.5997E+05 8.4490E+05 -6.1320E+07 1.1134E+08

4 8.3534E+04 2.9561E+05 1.6188E+05 8.4490E+05 -6.2060E+07 1.1337E+08

5 8.5742E+05 2.8348E+05 1.6345E+05 8.4490E+05 -6.3146E+07 1.0955E+08

6 6.1154E+05 2.8836E+05 1.6372E+05 8.4490E+05 -6.3130E+07 1.1123E+08

7 -4.2561E+04 3.0050E+05 1.6375E+05 8.4490E+05 -6.2789E+07 1.1527E+08

8 -3.2644E+05 3.0569E+05 1.6346E+05 8.4490E+05 -6.2518E+07 1.1696E+08

9 3.5358E+05 2.9546E+05 1.6546E+05 8.4490E+05 -6.3737E+07 1.1385E+08

10 5.8588E+05 2.9118E+05 1.6544E+05 8.4490E+05 -6.3858E+07 1.1242E+08

11 1.4616E+06 2.7878E+05 1.6806E+05 8.4490E+05 -6.5493E+07 1.0866E+08

12 1.2293E+06 2.8303E+05 1.6808E+05 8.4490E+05 -6.5366E+07 1.1010E+08

13 9.9702E+05 2.8729E+05 1.6809E+05 8.4490E+05 -6.5241E+07 1.1153E+08

14 7.6472E+05 2.9156E+05 1.6812E+05 8.4490E+05 -6.5118E+07 1.1296E+08

15 5.3242E+05 2.9584E+05 1.6815E+05 8.4490E+05 -6.4997E+07 1.1439E+08

16 3.0013E+05 3.0013E+05 1.6818E+05 8.4490E+05 -6.4878E+07 1.1581E+08

17 6.7830E+04 3.0444E+05 1.6823E+05 8.4490E+05 -6.4760E+07 1.1724E+08

18 9.4356E+05 2.9194E+05 1.7076E+05 8.4490E+05 -6.6373E+07 1.1350E+08

19 1.1759E+06 2.8767E+05 1.7073E+05 8.4490E+05 -6.6496E+07 1.1207E+08

20 1.8801E+06 2.7749E+05 1.7254E+05 8.4490E+05 -6.7720E+07 1.0893E+08

21 1.5752E+06 2.8268E+05 1.7233E+05 8.4490E+05 -6.7441E+07 1.1064E+08

22 9.1790E+05 2.9472E+05 1.7245E+05 8.4490E+05 -6.7092E+07 1.1469E+08

23 6.7202E+05 2.9960E+05 1.7276E+05 8.4490E+05 -6.7079E+07 1.1636E+08

24 1.4459E+06 2.8749E+05 1.7411E+05 8.4490E+05 -6.8149E+07 1.1255E+08

25 1.9991E+06 2.7992E+05 1.7578E+05 8.4490E+05 -6.9238E+07 1.1027E+08

26 1.3012E+06 2.9264E+05 1.7594E+05 8.4490E+05 -6.8866E+07 1.1456E+08

27 1.7874E+06 2.8545E+05 1.7701E+05 8.4490E+05 -6.9654E+07 1.1234E+08

MINIMUM -4.3746E+05 2.7749E+05 1.5863E+05 8.4490E+05 -6.9654E+07 1.0866E+08

Pile N. 2 20 1 1 27 11

MAXIMUM 1.9991E+06 3.0569E+05 1.7701E+05 8.4490E+05 -6.0519E+07 1.1724E+08

Pile N. 25 8 27 1 1 17

THE PILE COORDINATE SYSTEM (LOCAL AXES)

---------------------------------------

* PILE TOP DISPLACEMENTS *

PILE GROUP DISP. x,IN DISP. y,IN DISP. z,IN ROT. x,RAD ROT. y,RAD ROT. z,RAD

********** *********** *********** *********** *********** *********** ***********

1 -4.9348E-03 3.4848 1.8599 2.7962E-04 2.4775E-05 -3.6324E-05

2 -8.9976E-03 3.5603 1.8801 2.7962E-04 2.4775E-05 -3.6324E-05

3 4.3806E-03 3.4093 1.8801 2.7962E-04 2.4775E-05 -3.6324E-05

4 1.6036E-03 3.4848 1.9102 2.7962E-04 2.4775E-05 -3.6324E-05

5 1.6460E-02 3.3540 1.9354 2.7962E-04 2.4775E-05 -3.6324E-05

6 1.1740E-02 3.4136 1.9397 2.7962E-04 2.4775E-05 -3.6324E-05

7 -8.7540E-04 3.5560 1.9397 2.7962E-04 2.4775E-05 -3.6324E-05

8 -6.7142E-03 3.6156 1.9354 2.7962E-04 2.4775E-05 -3.6324E-05

9 6.7877E-03 3.5099 1.9673 2.7962E-04 2.4775E-05 -3.6324E-05

10 1.1247E-02 3.4596 1.9673 2.7962E-04 2.4775E-05 -3.6324E-05

11 2.8059E-02 3.3338 2.0109 2.7962E-04 2.4775E-05 -3.6324E-05

12 2.3599E-02 3.3841 2.0109 2.7962E-04 2.4775E-05 -3.6324E-05

13 1.9140E-02 3.4345 2.0109 2.7962E-04 2.4775E-05 -3.6324E-05

14 1.4680E-02 3.4848 2.0109 2.7962E-04 2.4775E-05 -3.6324E-05

15 1.0221E-02 3.5351 2.0109 2.7962E-04 2.4775E-05 -3.6324E-05

16 5.7615E-03 3.5854 2.0109 2.7962E-04 2.4775E-05 -3.6324E-05

17 1.3021E-03 3.6358 2.0109 2.7962E-04 2.4775E-05 -3.6324E-05

18 1.8114E-02 3.5099 2.0545 2.7962E-04 2.4775E-05 -3.6324E-05

19 2.2573E-02 3.4596 2.0545 2.7962E-04 2.4775E-05 -3.6324E-05

Page 110: Willis Avenue Bridge – Pivot Pier

109

20 3.6075E-02 3.3540 2.0864 2.7962E-04 2.4775E-05 -3.6324E-05

21 3.0236E-02 3.4136 2.0821 2.7962E-04 2.4775E-05 -3.6324E-05

22 1.7621E-02 3.5560 2.0821 2.7962E-04 2.4775E-05 -3.6324E-05

23 1.2901E-02 3.6156 2.0864 2.7962E-04 2.4775E-05 -3.6324E-05

24 2.7757E-02 3.4848 2.1115 2.7962E-04 2.4775E-05 -3.6324E-05

25 3.8358E-02 3.4093 2.1417 2.7962E-04 2.4775E-05 -3.6324E-05

26 2.4980E-02 3.5603 2.1417 2.7962E-04 2.4775E-05 -3.6324E-05

27 3.4295E-02 3.4848 2.1619 2.7962E-04 2.4775E-05 -3.6324E-05

MINIMUM -8.9976E-03 3.3338 1.8599 2.7962E-04 2.4775E-05 -3.6324E-05

Pile N. 2 11 1 1 1 1

MAXIMUM 3.8358E-02 3.6358 2.1619 2.7962E-04 2.4775E-05 -3.6324E-05

Pile N. 25 17 27 1 1 1

* PILE TOP REACTIONS *

PILE GROUP AXIAL,LBS LAT. y,LBS LAT. z,LBS MOM x,LBS-IN MOM y,LBS-IN MOM z,LBS-IN

********** *********** *********** *********** *********** *********** ***********

1 -2.3992E+05 2.9755E+05 1.5863E+05 8.4490E+05 -6.0519E+07 1.1357E+08

2 -4.3746E+05 3.0315E+05 1.5990E+05 8.4490E+05 -6.0960E+07 1.1562E+08

3 2.2819E+05 2.9037E+05 1.5997E+05 8.4490E+05 -6.1320E+07 1.1134E+08

4 8.3534E+04 2.9561E+05 1.6188E+05 8.4490E+05 -6.2060E+07 1.1337E+08

5 8.5742E+05 2.8348E+05 1.6345E+05 8.4490E+05 -6.3146E+07 1.0955E+08

6 6.1154E+05 2.8836E+05 1.6372E+05 8.4490E+05 -6.3130E+07 1.1123E+08

7 -4.2561E+04 3.0050E+05 1.6375E+05 8.4490E+05 -6.2789E+07 1.1527E+08

8 -3.2644E+05 3.0569E+05 1.6346E+05 8.4490E+05 -6.2518E+07 1.1696E+08

9 3.5358E+05 2.9546E+05 1.6546E+05 8.4490E+05 -6.3737E+07 1.1385E+08

10 5.8588E+05 2.9118E+05 1.6544E+05 8.4490E+05 -6.3858E+07 1.1242E+08

11 1.4616E+06 2.7878E+05 1.6806E+05 8.4490E+05 -6.5493E+07 1.0866E+08

12 1.2293E+06 2.8303E+05 1.6808E+05 8.4490E+05 -6.5366E+07 1.1010E+08

13 9.9702E+05 2.8729E+05 1.6809E+05 8.4490E+05 -6.5241E+07 1.1153E+08

14 7.6472E+05 2.9156E+05 1.6812E+05 8.4490E+05 -6.5118E+07 1.1296E+08

15 5.3242E+05 2.9584E+05 1.6815E+05 8.4490E+05 -6.4997E+07 1.1439E+08

16 3.0013E+05 3.0013E+05 1.6818E+05 8.4490E+05 -6.4878E+07 1.1581E+08

17 6.7830E+04 3.0444E+05 1.6823E+05 8.4490E+05 -6.4760E+07 1.1724E+08

18 9.4356E+05 2.9194E+05 1.7076E+05 8.4490E+05 -6.6373E+07 1.1350E+08

19 1.1759E+06 2.8767E+05 1.7073E+05 8.4490E+05 -6.6496E+07 1.1207E+08

20 1.8801E+06 2.7749E+05 1.7254E+05 8.4490E+05 -6.7720E+07 1.0893E+08

21 1.5752E+06 2.8268E+05 1.7233E+05 8.4490E+05 -6.7441E+07 1.1064E+08

22 9.1790E+05 2.9472E+05 1.7245E+05 8.4490E+05 -6.7092E+07 1.1469E+08

23 6.7202E+05 2.9960E+05 1.7276E+05 8.4490E+05 -6.7079E+07 1.1636E+08

24 1.4459E+06 2.8749E+05 1.7411E+05 8.4490E+05 -6.8149E+07 1.1255E+08

25 1.9991E+06 2.7992E+05 1.7578E+05 8.4490E+05 -6.9238E+07 1.1027E+08

26 1.3012E+06 2.9264E+05 1.7594E+05 8.4490E+05 -6.8866E+07 1.1456E+08

27 1.7874E+06 2.8545E+05 1.7701E+05 8.4490E+05 -6.9654E+07 1.1234E+08

MINIMUM -4.3746E+05 2.7749E+05 1.5863E+05 8.4490E+05 -6.9654E+07 1.0866E+08

Pile N. 2 20 1 1 27 11

MAXIMUM 1.9991E+06 3.0569E+05 1.7701E+05 8.4490E+05 -6.0519E+07 1.1724E+08

Pile N. 25 8 27 1 1 17

PILE GROUP STRESS,LBS/IN**2

********** ****************

1 3.1368E+04

2 3.1930E+04

3 3.0982E+04

4 3.1449E+04

5 3.1042E+04

6 3.1307E+04

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110

7 3.1924E+04

8 3.2356E+04

9 3.1844E+04

10 3.1639E+04

11 3.1360E+04

12 3.1561E+04

13 3.1764E+04

14 3.1967E+04

15 3.2172E+04

16 3.2377E+04

17 3.2583E+04

18 3.2297E+04

19 3.2094E+04

20 3.1845E+04

21 3.2057E+04

22 3.2626E+04

23 3.2888E+04

24 3.2497E+04

25 3.2361E+04

26 3.2956E+04

27 3.2765E+04

MINIMUM 3.0982E+04

Pile N. 3

MAXIMUM 3.2956E+04

Pile N. 26

* EFFECTS FOR LATERALLY LOADED PILE *

* MINIMUM VALUES AND LOCATIONS *

PILE DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

****** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

1 -3.5952E-05 -1.9146E-05 -1.1357E+08 -6.0519E+07 -2.7555E+05 -1.4685E+05 -1.3028E+04 -6937.8 6.1231E-07 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

2 -4.2917E-05 -2.2618E-05 -1.1562E+08 -6.0960E+07 -2.9260E+05 -1.5429E+05 -1.3655E+04 -7196.5 1.1164E-06 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

3 -2.9147E-05 -1.6040E-05 -1.1134E+08 -6.1320E+07 -2.5809E+05 -1.4214E+05 -1.2256E+04 -6744.6 13.533 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

4 -3.6394E-05 -1.9912E-05 -1.1337E+08 -6.2060E+07 -2.7616E+05 -1.5118E+05 -1.3016E+04 -7121.2 4.9541 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

5 -2.4807E-05 -1.4289E-05 -1.0955E+08 -6.3147E+07 -2.4581E+05 -1.4168E+05 -1.1641E+04 -6705.6 50.850 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

6 -3.0146E-05 -1.7099E-05 -1.1123E+08 -6.3130E+07 -2.6001E+05 -1.4758E+05 -1.2295E+04 -6974.1 36.268 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

7 -4.3261E-05 -2.3557E-05 -1.1527E+08 -6.2789E+07 -2.9237E+05 -1.5928E+05 -1.3597E+04 -7404.1 1.0862E-07 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

8 -4.7357E-05 -2.5307E-05 -1.1696E+08 -6.2518E+07 -3.0481E+05 -1.6295E+05 -1.3988E+04 -7475.1 8.3311E-07 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

9 -3.9675E-05 -2.2201E-05 -1.1385E+08 -6.3737E+07 -2.8258E+05 -1.5820E+05 -1.3220E+04 -7397.6 20.969 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

10 -3.4688E-05 -1.9693E-05 -1.1242E+08 -6.3858E+07 -2.7106E+05 -1.5397E+05 -1.2755E+04 -7241.5 34.746 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

11 -2.3979E-05 -1.4445E-05 -1.0866E+08 -6.5493E+07 -2.4361E+05 -1.4689E+05 -1.1411E+04 -6873.9 86.683 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 989.52 989.52 1010.8 1010.8 1064.0 0.0000 0.0000

12 -2.8248E-05 -1.6763E-05 -1.1010E+08 -6.5366E+07 -2.5425E+05 -1.5094E+05 -1.1979E+04 -7108.5 72.906 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

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111

13 -3.2732E-05 -1.9138E-05 -1.1153E+08 -6.5241E+07 -2.6599E+05 -1.5559E+05 -1.2505E+04 -7311.3 59.129 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

14 -3.7504E-05 -2.1611E-05 -1.1296E+08 -6.5118E+07 -2.7744E+05 -1.5994E+05 -1.2980E+04 -7479.1 45.353 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

15 -4.1964E-05 -2.3836E-05 -1.1439E+08 -6.4997E+07 -2.8857E+05 -1.6398E+05 -1.3404E+04 -7613.9 31.576 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

16 -4.5854E-05 -2.5681E-05 -1.1581E+08 -6.4878E+07 -2.9928E+05 -1.6767E+05 -1.3763E+04 -7708.1 17.799 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

17 -4.9469E-05 -2.7322E-05 -1.1724E+08 -6.4760E+07 -3.0966E+05 -1.7108E+05 -1.4052E+04 -7760.9 4.0227 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

18 -4.0645E-05 -2.3761E-05 -1.1350E+08 -6.6373E+07 -2.8370E+05 -1.6591E+05 -1.3196E+04 -7714.3 55.959 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

19 -3.5538E-05 -2.1079E-05 -1.1207E+08 -6.6496E+07 -2.7234E+05 -1.6159E+05 -1.2739E+04 -7555.8 69.736 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

20 -2.6527E-05 -1.6486E-05 -1.0893E+08 -6.7720E+07 -2.4855E+05 -1.5452E+05 -1.1655E+04 -7243.3 111.37 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

21 -3.1747E-05 -1.9344E-05 -1.1064E+08 -6.7441E+07 -2.6222E+05 -1.5983E+05 -1.2281E+04 -7483.1 93.407 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

22 -4.4149E-05 -2.5821E-05 -1.1469E+08 -6.7092E+07 -2.9388E+05 -1.7193E+05 -1.3531E+04 -7913.4 54.437 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

23 -4.8400E-05 -2.7898E-05 -1.1636E+08 -6.7079E+07 -3.0627E+05 -1.7658E+05 -1.3901E+04 -8012.8 39.855 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

24 -3.8497E-05 -2.3304E-05 -1.1255E+08 -6.8149E+07 -2.7877E+05 -1.6880E+05 -1.2951E+04 -7839.8 85.751 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

25 -3.1961E-05 -2.0062E-05 -1.1027E+08 -6.9238E+07 -2.6236E+05 -1.6473E+05 -1.2241E+04 -7683.8 118.42 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

26 -4.4833E-05 -2.6944E-05 -1.1457E+08 -6.8866E+07 -2.9555E+05 -1.7766E+05 -1.3534E+04 -8134.1 77.172 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

27 -3.9386E-05 -2.4415E-05 -1.1234E+08 -6.9653E+07 -2.7958E+05 -1.7335E+05 -1.2943E+04 -8023.2 105.88 3.5788E+12 3.5788E+12

x(IN) 1010.8 1010.8 0.0000 0.0000 1000.2 1000.2 1010.8 1010.8 1064.0 0.0000 0.0000

Min. -4.9469E-05 -2.7898E-05 -1.1724E+08 -6.9653E+07 -3.0966E+05 -1.7766E+05 -1.4052E+04 -8134.1 1.0862E-07 3.5788E+12 3.5788E+12

Pile N. 17 23 17 27 17 26 17 26 7 1 1

* MAXIMUM VALUES AND LOCATIONS *

PILE DISPL. DISPL. MOMENT MOMENT SHEAR SHEAR SOIL REACT SOIL REACT TOTAL FLEX. RIG. FLEX. RIG.

y-DIR z-DIR z-DIR y-DIR y-DIR z-DIR y-DIR z-DIR STRESS z-DIR y-DIR

IN IN LBS-IN LBS-IN LBS LBS LBS/IN LBS/IN LBS/IN**2 LBS-IN**2 LBS-IN**2

****** ********** ********** ********** ********** ********** ********** ********** ********** ********** ********** **********

1 3.4848 1.8599 5.2971E+07 2.8258E+07 2.9759E+05 1.5865E+05 4531.2 2393.0 3.1368E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 691.60 691.60 10.640 10.640 1000.2 1000.2 0.0000 0.0000 0.0000

2 3.5603 1.8801 5.3836E+07 2.8414E+07 3.0322E+05 1.5994E+05 6922.7 3629.7 3.1930E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 702.24 702.24 117.04 106.40 1000.2 1000.2 0.0000 0.0000 0.0000

3 3.4093 1.8801 5.2104E+07 2.8721E+07 2.9037E+05 1.5998E+05 2484.8 1367.4 3.0982E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 691.60 691.60 0.0000 0.0000 1042.7 1042.7 0.0000 0.0000 0.0000

4 3.4848 1.9102 5.2965E+07 2.9021E+07 2.9561E+05 1.6188E+05 4600.8 2499.0 3.1449E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 691.60 691.60 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

5 3.3540 1.9354 5.1457E+07 2.9683E+07 2.8350E+05 1.6347E+05 2309.3 1330.2 3.1042E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 691.60 691.60 0.0000 0.0000 1042.7 1042.7 0.0000 0.0000 0.0000

6 3.4136 1.9397 5.2146E+07 2.9620E+07 2.8838E+05 1.6373E+05 2481.8 1407.7 3.1307E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 691.60 691.60 0.0000 0.0000 1042.7 1042.7 0.0000 0.0000 0.0000

7 3.5560 1.9397 5.3783E+07 2.9324E+07 3.0051E+05 1.6376E+05 6869.9 3724.1 3.1924E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 702.24 702.24 31.920 21.280 1000.2 1000.2 0.0000 0.0000 0.0000

8 3.6156 1.9354 5.4475E+07 2.9146E+07 3.0574E+05 1.6349E+05 8579.9 4568.3 3.2356E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 702.24 702.24 159.60 170.24 1000.2 1000.2 0.0000 0.0000 0.0000

9 3.5099 1.9673 5.3248E+07 2.9834E+07 2.9547E+05 1.6547E+05 5489.2 3055.5 3.1844E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 691.60 691.60 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

10 3.4596 1.9673 5.2673E+07 2.9941E+07 2.9119E+05 1.6545E+05 3851.0 2170.3 3.1639E+04 3.5788E+12 3.5788E+12

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x(IN) 0.0000 0.0000 691.60 691.60 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

11 3.3338 2.0109 5.1208E+07 3.0880E+07 2.7883E+05 1.6809E+05 2218.8 1336.6 3.1360E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 691.60 691.60 0.0000 0.0000 1042.7 1042.7 0.0000 0.0000 0.0000

12 3.3841 2.0109 5.1795E+07 3.0769E+07 2.8307E+05 1.6810E+05 2410.1 1430.1 3.1561E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 691.60 691.60 0.0000 0.0000 1042.7 1042.7 0.0000 0.0000 0.0000

13 3.4345 2.0109 5.2378E+07 3.0658E+07 2.8732E+05 1.6811E+05 3126.1 1813.6 3.1764E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 691.60 691.60 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

14 3.4848 2.0109 5.2957E+07 3.0549E+07 2.9158E+05 1.6813E+05 4744.2 2719.4 3.1967E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 691.60 691.60 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

15 3.5351 2.0109 5.3540E+07 3.0444E+07 2.9586E+05 1.6816E+05 6303.6 3566.2 3.2172E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 702.24 702.24 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

16 3.5854 2.0109 5.4126E+07 3.0345E+07 3.0014E+05 1.6819E+05 7783.6 4344.9 3.2377E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 702.24 702.24 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

17 3.6358 2.0109 5.4708E+07 3.0246E+07 3.0444E+05 1.6823E+05 9204.7 5069.5 3.2583E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 702.24 702.24 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

18 3.5099 2.0545 5.3245E+07 3.1156E+07 2.9196E+05 1.7078E+05 5614.5 3269.4 3.2297E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 702.24 702.24 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

19 3.4596 2.0545 5.2664E+07 3.1266E+07 2.8770E+05 1.7075E+05 4010.6 2366.3 3.2094E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 691.60 691.60 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

20 3.3540 2.0864 5.1431E+07 3.1987E+07 2.7754E+05 1.7258E+05 2305.6 1432.9 3.1845E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 691.60 691.60 0.0000 0.0000 1042.7 1042.7 0.0000 0.0000 0.0000

21 3.4136 2.0821 5.2127E+07 3.1787E+07 2.8272E+05 1.7236E+05 2574.2 1557.5 3.2057E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 691.60 691.60 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

22 3.5560 2.0821 5.3784E+07 3.1482E+07 2.9474E+05 1.7246E+05 7007.3 4086.3 3.2626E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 702.24 702.24 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

23 3.6156 2.0864 5.4479E+07 3.1427E+07 2.9962E+05 1.7277E+05 8697.3 5001.1 3.2888E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 702.24 702.24 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

24 3.4848 2.1115 5.2947E+07 3.2075E+07 2.8753E+05 1.7414E+05 4898.1 2954.6 3.2497E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 691.60 691.60 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

25 3.4093 2.1417 5.2067E+07 3.2702E+07 2.7998E+05 1.7581E+05 2595.4 1620.9 3.2361E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 691.60 691.60 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

26 3.5603 2.1417 5.3835E+07 3.2376E+07 2.9268E+05 1.7596E+05 7213.4 4325.3 3.2956E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 702.24 702.24 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

27 3.4848 2.1619 5.2944E+07 3.2839E+07 2.8550E+05 1.7704E+05 5002.4 3092.4 3.2765E+04 3.5788E+12 3.5788E+12

x(IN) 0.0000 0.0000 702.24 702.24 0.0000 0.0000 1000.2 1000.2 0.0000 0.0000 0.0000

Max. 3.6358 2.1619 5.4708E+07 3.2839E+07 3.0574E+05 1.7704E+05 9204.7 5069.5 3.2956E+04 3.5788E+12 3.5788E+12

Pile N. 17 27 17 27 8 27 17 17 26 1 1

***** SUMMARY FOR LOAD CASES AND COMBINATIONS *****

* TABLE L * COMPUTATION ON PILE CAP

***** LOAD CASES RESULTS *****

LOAD CASE : 1

* EQUIVALENT CONCENTRATED LOAD AT ORIGIN *

LOAD X,LBS LOAD Y,LBS LOAD Z,LBS MOM X,IN-LBS MOM Y,IN-LBS MOM Z,IN-LBS

2.07250E+07 7.87200E+06 4.53700E+06 1.19148E+08 1.27531E+09 -1.39639E+09

* DISPLACEMENT OF GROUPED PILE FOUNDATION AT ORIGIN *

DISP X,IN DISP Y,IN DISP Z,IN ROT X,RAD ROT Y,RAD ROT Z,RAD

0.0146804 3.48478 2.01088 2.79616E-04 2.47745E-05 -3.63243E-05