20-E. 21WB-11 BEAM REMEDIATION FLEXURE AND SHEAR CAPACITY CALCS L21 L22 L23.pdf

PDF 11 MB Posted

Attached to
Broward County Judicial Court West Tower Repairs
Solicitation number
PNC2132739C1
Issued by
Broward County, Florida

About this file

This is a structural engineering calculation document prepared by AECOM for the Broward County Judicial Complex (BCJC) West Tower beam strengthening project in Florida. The document contains post-tensioned (PT) beam flexural design calculations and shear capacity analyses for beam 21WB-11 at the 5-foot position following jacking operations, dated November 14, 2025. The calculations address Level 21 beam strengthening and comply with ACI 318-19 Code References. The project scope includes field verification of existing conditions, installation of scaffolding, core drilling, surface preparation, application of FRP strengthening systems, installation of engineered structural posts and base plates from the 21st floor to roof level with required anchorage, relocation of HVAC and electrical equipment within ceiling spaces, application of corrosion protection measures, and coordination of structural inspections. All work must comply with applicable building codes and safety standards while minimizing disruption to courthouse operations.

The technical specifications detail the PT beam design parameters including low relaxation strand characteristics (0.5-inch diameter with 0.153 square inch area and 270,000 psi ultimate tensile strength), effective prestress values of 182,710 psi after losses, concrete compressive strength of 6,950 psi, and beam dimensions of 26 inches width by 30 inches total depth. The document designates four tendons positioned 15 inches from the bottom of the beam at the transfer column location, with calculations establishing the tendon centroid from the compression fiber and effective cover to mild steel flexure reinforcement of 2.5 inches. This is classified as confidential and privileged attorney-client communication documentation and represents the engineered structural solution for the fixed-price contract to repair structural beams at the Broward County Judicial Complex West Tower.

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Text version

Broward County Court House - Level 21 Beam Strengthening Calculations

Confidential and Privileged Attorney Client Communication Documents

AECOM Response

PT Beam Flexural design Calculations /21WB-11@5ft after jacking

11/14/2025

21WB-11 @5ft (transfer column location) Calculation of PT Transfer Girder flexural strength & ACI 318-19 Code References

Low relaxation Strand (0.5" dia) area 0.153 sq.in fpu(Minimum ultimate tensile strength)

270000 psi Tendon effective stress per PT shop drawings at Level 21 Final effective stress in Tendon = Tendon jacking force - total losses. See below for values considered in ETABS fse(average effective prestress after losses along length of tendon per shop dwgs)

182710 psi fpy(0.9fpu (for low relaxation strand)) 245000 psi f'c 6950 psi fy 60000 psi beta1 0.7025 # of tendons Tendon centroid from bottom of beam at post location

Aps (in^2) 0.612 in^2 4 15 in.

dp (tendon centroid @ max positive moment)from compression fiber (in.)

15 in.

eff. cover to mild steel flexure reinforcement

2.5 in.

1/21

AECOM Response

PT Beam Flexural design Calculations /21WB-11@5ft after jacking

11/14/2025

B(width of beam) (in.) 26 in.

D (Total Depth of beam) (in.) 30 in.

0.001569231

6.668 <35

Unbonded tendon tensile stress calculation (fps) (psi)

236999 psi refer to calcs in rows below

236999 psi

242710 psi

245000 psi a (compression block depth based on

PT tendons taking all loads without mild reinf)

0.94 in a = Aps*fps/ (0.85*f'c*b)

158 kip-ft Moment capacity based on post tensioned strands alone.

If Bending Moment (demand) is less than the bending moment capacity based on strands alone, only minimum mild steel reinforcement (0.004Ac) will be required

Min. flexural reinforcement for beams with post tensioned strands As, Min

1.56 in^2

Act 390 in^2 width*depth/2

Mu (Beam 21WB-11) maximum positive moment at/near column transfer location

329 k-ft Based on ETABS Model

As,min 1.56 sq.in

2/21

AECOM Response

PT Beam Flexural design Calculations /21WB-11@5ft after jacking

11/14/2025

As,Provided at bottom of beam 5.08 sq.in.

Moment Capacity based on PT + Non-PT reinforcement provided a=(Apsfps+Asfy)/ 0.85f'c*b 2.93 in.

slab thickness 7.00 in.

beff 82 in. beff = Beam width + 8*slab thickness a based T-beam flange width for positive moment

0.929 in. 1.322 Neutral axis depth from compression face a used for moment capacity 0.929 in.

phi*Mn =0.9[Apsfps(dp-a/2)+Asfy(d-a/2)]

776 k-ft Beam Reinforcement, Moment Capacity is Adequate

Based on ETABS model P-M Checks.

DCR Ratio is

0.6

3/21

AECOM Response

PT Beam Flexural design Calculations /22B-5@ PosMomExistColFaceC-3.7

11/14/2025

22B-5 @ Existing Column face(GRID C/3.7) (positive moment after jacking) Calculation of PT Transfer Girder flexural strength & ACI 318-19 Code References

Low relaxation Strand (0.5" dia) area 0.153 sq.in fpu(Minimum ultimate tensile strength)

270000 psi fse(average effective prestress after losses along length of tendon per shop dwgs)

187890 psi fpy(0.9fpu (for low relaxation strand)) 245000 psi f'c 6950 psi fy 60000 psi beta1 0.7025 # of tendons Tendon centroid from bottom of beam

Aps (in^2) 0.765 in^2 5 12.5 in.

dp (tendon centroid @ max positive moment)from compression fiber (in.)

12.5 in.

eff. cover to mild steel flexure reinforcement

2.5 in.

4/21

AECOM Response

PT Beam Flexural design Calculations /22B-5@ PosMomExistColFaceC-3.7

11/14/2025

B(width of beam) (in.) 36 in.

D (Total Depth of beam) (in.) 25 in.

0.0017

10.56 <35

Unbonded tendon tensile stress calculation (fps) (psi)

238772 psi refer to calcs in rows below

238772 psi

247890 psi

245000 psi a (compression block depth based on

PT tendons taking all loads without mild reinf)

0.86 in a = Aps*fps/ (0.85*f'c*b)

165 kip-ft Moment capacity based on post tensioned strands alone.

If Bending Moment (demand) is less than the bending moment capacity based on strands alone, only minimum mild steel reinforcement (0.004Ac) will be required

Min. flexural reinforcement for beams with post tensioned strands As, Min

1.80 in^2

Act 450 in^2 width*depth/2

Mu (Beam 22B-5) maximum positive moment at/near existing column face

528 k-ft Based on ETABS Model Moments

As,min 1.80 sq.in

5/21

AECOM Response

PT Beam Flexural design Calculations /22B-5@ PosMomExistColFaceC-3.7

11/14/2025

As,Provided at bottom of beam 4 sq.in.

Moment Capacity based on PT + Non-PT reinforcement provided a=(Apsfps+Asfy)/ 0.85f'c*b 1.99 in.

slab thickness 5.00 in.

beff 76 in. beff = Beam width + 8*slab thickness a based T-beam flange width for positive moment

0.941 in. 1.340 Neutral axis depth from compression face a used for moment capacity 0.941 in.

phi*Mn =0.9[Apsfps(dp-a/2)+Asfy(d-a/2)]

561 k-ft Beam Reinforcement, Moment Capacity is Adequate

6/21

AECOM Response

PT Beam Flexural design Calculations /22B-5@Jacking locationC-3.5

11/14/2025

22B-5 @ Jacking location - Calculation of PT Girder flexural strength & ACI 318-19 Code References

Low relaxation Strand (0.5" dia) area 0.153 sq.in fpu(Minimum ultimate tensile strength)

270000 psi fse(average effective prestress after losses along length of tendon per shop dwgs)

187890 psi fpy(0.9fpu (for low relaxation strand)) 245000 psi f'c 6950 psi fy 60000 psi beta1 0.7025 # of 0.5" dia tendons

Aps (in^2) 0.765 in^2 5

7/21

AECOM Response

PT Beam Flexural design Calculations /22B-5@Jacking locationC-3.5

11/14/2025 dp (tendon centroid @ max negative moment)from compression fiber

(in.)

12.5 in.

eff. cover to mild steel flexure reinforcement

2 in.

B(width of beam) (in.) 36 in.

D (Total Depth of beam) (in.) 25 in.

0.0017

10.56 <35

Unbonded tendon tensile stress calculation (fps) (psi)

238772 psi refer to calcs in rows below

238772 psi

247890 psi

245000 psi a (compression block depth based on

PT tendons taking all loads without mild reinf)

0.86 in a = Aps*fps/ (0.85*f'c*b)

165 kip-ft Moment capacity based on post tensioned strands alone.

If Bending Moment (demand) is less than the bending moment capacity based on strands alone, only minimum mild steel reinforcement (0.004Ac) will be required

Min. flexural reinforcement for beams with post tensioned strands As, Min

1.80 in^2

Act 450 in^2 width*depth/2

8/21

AECOM Response

PT Beam Flexural design Calculations /22B-5@Jacking locationC-3.5

11/14/2025

Mu (Beam 22B-5) maximum negative moment at Jacking location

360 k-ft Based on ETABS Model Moments

As,min 1.80 sq.in

As,Provided at top of beam near jacking location

7.62 sq.in.

Moment Capacity based on PT + Non-PT reinforcement provided a=(Apsfps+Asfy)/ 0.85f'c*b 3.01 in.

phi*Mn =0.9[Apsfps(dp-a/2)+Asfy(d-a/2)]

888 k-ft Beam Reinforcement, Moment Capacity is Adequate

9/21

AECOM Response

PT Beam Flexural design Calculations /22B-5@ COL FACE C-3

11/14/2025

22B-5 @ Column Face at Grid C/3 - Calculation of PT Girder flexural strength & ACI 318-19 Code References

Low relaxation Strand (0.5" dia) area 0.153 sq.in fpu(Minimum ultimate tensile strength)

270000 psi fse(average effective prestress after losses along length of tendon per shop dwgs)

187890 psi fpy(0.9fpu (for low relaxation strand)) 245000 psi f'c 6950 psi fy 60000 psi beta1 0.7025 # of 0.5" dia tendons

Aps (in^2) 0.765 in^2 5

10/21

AECOM Response

PT Beam Flexural design Calculations /22B-5@ COL FACE C-3

11/14/2025 dp (tendon centroid @ max negative moment)from compression fiber

(in.)

12.5 in.

eff. cover to mild steel flexure reinforcement

2 in.

B(width of beam) (in.) 36 in.

D (Total Depth of beam) (in.) 25 in.

0.0017

10.56 <35

Unbonded tendon tensile stress calculation (fps) (psi)

238772 psi refer to calcs in rows below

238772 psi

247890 psi

245000 psi a (compression block depth based on

PT tendons taking all loads without mild reinf)

0.86 in a = Aps*fps/ (0.85*f'c*b)

165 kip-ft Moment capacity based on post tensioned strands alone.

If Bending Moment (demand) is less than the bending moment capacity based on strands alone, only minimum mild steel reinforcement (0.004Ac) will be required

Min. flexural reinforcement for beams with post tensioned strands As, Min

1.80 in^2

Act 450 in^2 width*depth/2

11/21

AECOM Response

PT Beam Flexural design Calculations /22B-5@ COL FACE C-3

11/14/2025

Mu (Beam 22B-5) maximum negative moment at column face at grid C/3 location

220 k-ft Based on ETABS Model Moments

As,min 1.80 sq.in

As,Provided at top of beam near column at C/3

7.62 sq.in.

Moment Capacity based on PT + Non-PT reinforcement provided a=(Apsfps+Asfy)/ 0.85f'c*b 3.01 in.

phi*Mn =0.9[Apsfps(dp-a/2)+Asfy(d-a/2)]

888 k-ft Beam Reinforcement, Moment Capacity is Adequate

12/21

AECOM Response

PT Beam Flexural design Calculations /23B-9@ Mom Exist Col Face C-3.7

11/14/2025

23B-9 @ Existing Column Face (C/3.7 grid Intersection)( moment after jacking) Calculation of flexural strength & ACI 318-19 Code References f'c 6950 psi fy 60000 psi beta1 0.7025 eff. cover to mild steel flexure reinforcement

2.5 in.

B(width of beam) (in.) 30 in.

D (Total Depth of beam) (in.) 48 in.

Mu (Beam 23B-9) maximum negative moment at/near existing column face

Grid C/3.7

1950 k-ft Based on ETABS Model Moments

As,Provided at top of beam at column C/3.7

16 sq.in.

Moment Capacity based on PT + Non-PT reinforcement provided a=(Asfy)/ 0.85f'c*b 5.42 in.

a used for moment capacity 5.417 in.

phi*Mn =0.9[Asfy(d-a/2)] 3081 k-ft Beam Reinforcement, Moment Capacity is Adequate

DCR from P-M interaction 0.625 see below for reference

13/21

AECOM Response

PT Beam Flexural design Calculations /23B-9@ Mom Exist Col Face C-3.7

11/14/2025

14/21

AECOM Response

PT Beam Flexural design Calculations /23B-9@ Mom Exist Col Face C-3.7

15/21

AECOM Response

PT Beam Flexural design Calculations /23B-9@ Mom new post Face C-3.5

11/14/2025

23B-9 @ New Post Face (C/3.5 grid Intersection)( moment after jacking) Calculation of flexural strength & ACI 318-19 Code References f'c 6950 psi fy 60000 psi beta1 0.7025 eff. cover to mild steel flexure reinforcement

2.5 in.

B(width of beam) (in.) 30 in.

D (Total Depth of beam) (in.) 48 in.

Mu (Beam 23B-9) maximum negative moment at/near NEW pipe column face Grid C/3.5

967 k-ft Based on ETABS Model Moments

As,Provided at top of beam at column C/3.5

5 sq.in. 3 sq.in steel excluded to take tension force of 134 kips in the beam.

Conservatively taken only 8-#9 bars instead of 16-#9 present with full development length available at new post face Grid C/3.5. See shop drawings below for details

Moment Capacity based on PT + Non-PT reinforcement provided a=(Asfy)/ 0.85f'c*b 1.69 in.

a used for moment capacity 1.693 in.

phi*Mn =0.9[Asfy(d-a/2)] 1005 k-ft Beam Reinforcement, Moment Capacity is Adequate

16/21

AECOM Response

PT Beam Flexural design Calculations /23B-9@ Mom new post Face C-3.5

17/21

AECOM Response

PT Beam Flexural design Calculations /23B-9@ Mom new post Face C-3.5

18/21

AECOM Response

PT Beam Flexural design Calculations /Shear DCR

11/14/2025

BEAM BEAM

Beam

Length

TENDON

PROPER

TIES

Station

(ft)

Design

Combinati on

Story

Level

Beam

Unique ID Name

Width

(in)

Depth

(in) Length (ft)

Tendon

Unique ID F'c (psi) Vu (kips) Mu (kip.ft) Vci (kips) Vcw (kips)

Vc per

ACE318-

22.5.6.3

VcptA_ACI

318_19_22

_5_6_2

Vc (kips)

Vs required

(kips)

Shear

Reinf

Provided

(in^2/ft)

Asv,DCR Vs,Prov phi*(Vc+V

s) DCR Notes

T.O. COOLING TOWER7833 23B-9 30 48 16.67 No Tendon 6950 1.08 LRFD_1.2D+1L+1.6RWDI4+PT - 196.4 690.8 116.7 236.1 116.7 280.9 216.1 0.0 0.22 1.71 50.05 199.6 0.48

T.O. COOLING TOWER7833 23B-9 30 48 16.67 No Tendon 6950 2.99 LRFD_1.2D+1L+1.6RWDI4+PT - 199.9 504.0 116.7 236.1 116.7 280.9 216.1 0.0 0.22 1.71 50.05 199.6 0.5

T.O. COOLING TOWER7833 23B-9 30 48 16.67 No Tendon 6950 4.89 LRFD_1.2D+1L+1.6RWDI4+PT - 1103.3 310.8 116.7 236.1 116.7 280.9 216.1 0.0 0.22 1.71 50.05 199.6 0.52

T.O. COOLING TOWER7833 23B-9 30 48 16.67 No Tendon 6950 6.79 LRFD_1.2D+1L+1.6RWDI4+PT - 1106.7 111.0 116.7 236.1 116.7 280.9 216.1 0.0 0.22 1.71 50.05 199.6 0.53

T.O. COOLING TOWER7833 23B-9 30 48 16.67 No Tendon 6950 8.70 LRFD_1.2D+1L+1.6RWDI4+PT - 1110.1 -95.3 116.7 236.1 116.7 280.9 216.1 0.0 0.22 1.71 50.05 199.6 0.55

T.O. COOLING TOWER7833 23B-9 30 48 16.67 No Tendon 6950 10.60 LRFD_1.2D+1L+1.6RWDI4+PT - 1113.6 -308.1 116.7 236.1 116.7 280.9 216.1 0.0 0.22 1.71 50.05 199.6 0.57

T.O. COOLING TOWER7833 23B-9 30 48 16.67 No Tendon 6950 12.50 LRFD_1.2D+1L+1.6RWDI4+PT - 1117.0 -527.4 116.7 236.1 116.7 280.9 216.1 0.0 0.22 1.71 50.05 199.6 0.59

T.O. COOLING TOWER7833 23B-9 30 48 16.67 No Tendon 6950 14.40 LRFD_1.2D+1L+1.6RWDI4+PT - 1120.4 -753.3 116.7 236.1 116.7 280.9 216.1 0.0 0.22 1.71 50.05 199.6 0.6

T.O. COOLING TOWER7833 23B-9 30 48 16.67 No Tendon 6950 16.31 LRFD_1.2D+1L+1.6RWDI4+PT - 1123.8 -985.7 116.7 236.1 116.7 280.9 216.1 0.0 0.22 1.71 50.05 199.6 0.62

T.O. COOLING TOWER7834 23B-9E 30 48 5 No Tendon 6950 0.36 LRFD_0.9D+1.6RWDI13+PT - 1-36.4 -647.1 116.7 236.1 116.7 280.9 216.1 0.0 0.22 0 50.05 199.6 0.18

T.O. COOLING TOWER7834 23B-9E 30 48 5 No Tendon 6950 2.18 LRFD_0.9D+1.6RWDI13+PT - 1-33.9 -583.1 116.7 236.1 116.7 280.9 216.1 0.0 0.22 0 50.05 199.6 0.17

T.O. COOLING TOWER7834 23B-9E 30 48 5 No Tendon 6950 4.00 LRFD_0.9D+1.6RWDI13+PT - 1-31.5 -523.6 116.7 236.1 116.7 280.9 216.1 0.0 0.22 0 50.05 199.6 0.16

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 1.08 LRFD_1.2D+1.6Lr+0.8RWDI5+PT - 1-72.1 -213.5 153.0 275.4 153.0 337.6 153.0 0.0 0.53 0.03 59.62 159.46 0.45

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 2.67 LRFD_1.2D+1.6Lr+0.8RWDI5+PT - 1-70.7 -101.1 163.9 275.4 163.9 337.6 163.9 0.0 0.53 0.03 59.62 167.66 0.42

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 3.75 LRFD_1.2D+1.6Lr+1.0L - 1-38.0 -36.0 1135.9 275.4 275.4 337.6 275.4 0.0 0.53 0 59.62 251.25 0.15

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 4.84 LRFD_1.2D+1.6Lr+1.0L - 1-37.0 4.7 1324.0 275.4 275.4 337.6 275.4 0.0 0.53 0 59.62 251.25 0.15

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 5.93 LRFD_1.2D+1.6Lr+1.0L - 1-33.8 -13.9 952.4 275.4 275.4 337.6 275.4 0.0 0.53 0 59.62 251.25 0.13

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 7.01 LRFD_1.2D+1.6Lr+1.0L - 1-32.8 22.2 218.4 275.4 218.4 337.6 218.4 0.0 0.53 0 59.62 208.54 0.16

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 8.67 LRFD_1.2D+1L+1.6RWDI4+PT - 143.7 31.2 735.1 275.4 275.4 337.6 275.4 0.0 0.53 0 59.62 251.25 0.17

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 9.78 LRFD_1.2D+1L+1.6RWDI4+PT - 144.7 -17.8 8210.4 275.4 275.4 337.6 275.4 0.0 0.53 0 59.62 251.25 0.18

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 10.89 LRFD_1.2D+1L+1.6RWDI4+PT - 146.2 -38.2 333.0 275.4 275.4 337.6 275.4 0.0 0.53 0 59.62 251.25 0.18

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 11.99 LRFD_1.2D+1L+1.6RWDI4+PT - 147.2 -90.1 144.3 275.4 144.3 337.6 144.3 0.0 0.53 0 59.62 152.93 0.31

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 13.10 LRFD_1.2D+1L+1.6RWDI4+PT - 148.4 -114.8 120.6 275.4 120.6 289.3 120.6 0.0 0.53 0.03 59.62 135.15 0.36

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 14.67 LRFD_1.2D+1L+1.6RWDI4+PT - 191.9 -177.9 140.2 275.4 140.2 337.6 140.2 0.0 0.53 0.03 59.62 149.9 0.61

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 15.32 LRFD_1.2D+1L+1.6RWDI4+PT - 192.5 -238.4 117.8 275.4 117.8 269.7 117.8 5.5 0.53 0.09 59.62 133.09 0.7

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 16.67 LRFD_1.4D-1+PT Final - 1-243.7 -358.8 179.8 275.4 179.8 337.6 179.8 145.1 4 2.43 450 472.35 0.52

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 17.44 LRFD_1.2D+1.6Lr+1.0L - 1-229.3 -270.9 214.4 275.4 214.4 337.6 214.4 91.4 4 1.53 450 498.27 0.46

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 18.49 LRFD_1.4D-1+PT Final - 1-247.9 16.6 4663.7 275.4 275.4 337.6 275.4 55.2 4 0.93 450 544.04 0.46

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 19.55 LRFD_1.2D+1L+1.6RWDI5+PT - 1-245.6 321.7 195.0 275.4 195.0 337.6 195.0 132.5 4 2.22 450 483.78 0.51

MECH ROOF 1517 22B-5 36 25 21.67 1540005 6950 20.67 LRFD_1.2D+1L+1.6RWDI5+PT - 1-246.1 527.2 140.0 275.4 140.0 329.8 140.0 188.2 0.53 3.16 59.62 149.68 1.64

LEVEL 21 2526 21WB-11 26 30 16.67 2529011 6950 1.08 LRFD_1.4D-1+PT Final - 1-111.8 -66.8 851.8 236.1 236.1 292.6 236.1 0.0 0.44 0.04 60.5 222.42 0.5

LEVEL 21 2526 21WB-11 26 30 16.67 2529011 6950 2.50 LRFD_1.4D-1+PT Final - 1-110.4 90.7 186.2 236.1 186.2 292.6 186.2 0.0 0.44 0.04 60.5 185.03 0.6

LEVEL 21 2526 21WB-11 26 30 16.67 2529011 6950 4.00 LRFD_1.4D-1+PT Final - 1-103.8 201.0 154.9 236.1 154.9 292.6 154.9 0.0 0.44 0.04 60.5 161.51 0.64

LEVEL 21 2526 21WB-11 26 30 16.67 2529011 6950 5.00 LRFD_1.4D-1+PT Final - 1-72.6 257.3 193.1 236.1 193.1 208.4 193.1 0.0 0.44 0.04 60.5 190.18 0.38

LEVEL 21 2526 21WB-11 26 30 16.67 2529011 6950 6.25 LRFD_1.2D+1L+1.6RWDI12+PT - 168.6 243.5 99.5 236.1 99.5 208.1 117.0 0.0 0.44 0.04 60.5 133.16 0.52

LEVEL 21 2526 21WB-11 26 30 16.67 2529011 6950 7.50 LRFD_1.2D+1L+1.6RWDI12+PT - 171.1 199.6 109.6 236.1 109.6 253.8 117.0 0.0 0.44 0.04 60.5 133.16 0.53

LEVEL 21 2526 21WB-11 26 30 16.67 2529011 6950 8.75 LRFD_1.4D-1+PT Final - 144.4 129.2 99.5 236.1 99.5 246.4 117.0 0.0 0.44 0.04 60.5 133.16 0.33

LEVEL 21 2526 21WB-11 26 30 16.67 2529011 6950 10.00 LRFD_1.2D+1L+1.6RWDI12+PT - 1109.1 91.2 994.0 236.1 236.1 292.6 236.1 0.0 0.44 0.04 60.5 222.42 0.49

LEVEL 21 2526 21WB-11 26 30 16.67 2529011 6950 11.23 LRFD_1.2D+1L+1.6RWDI12+PT - 1110.1 -43.3 485.8 236.1 236.1 292.6 236.1 0.0 0.44 0.04 60.5 222.42 0.5

LEVEL 21 2526 21WB-11 26 30 16.67 2529011 6950 12.46 LRFD_1.2D+1L+1.6RWDI12+PT - 1111.5 -80.5 242.4 236.1 236.1 292.6 236.1 0.0 0.44 0.04 60.5 222.42 0.5

LEVEL 21 2526 21WB-11 26 30 16.67 2529011 6950 13.69 LRFD_1.2D+1L+1.6RWDI12+PT - 1112.5 -218.4 140.7 236.1 140.7 292.6 140.7 9.3 0.44 0.16 60.5 150.91 0.75

LEVEL 21 2526 21WB-11 26 30 16.67 2529011 6950 14.92 LRFD_1.2D+1L+1.6RWDI12+PT - 1128.4 -281.2 133.7 236.1 133.7 292.6 133.7 37.6 0.44 0.63 60.5 145.63 0.88

LEVEL 21 2526 21WB-11 26 30 16.67 2529011 6950 15.58 LRFD_1.2D+1L+1.6RWDI12+PT - 1129.0 -367.3 113.9 236.1 113.9 250.8 117.0 54.9 0.44 0.92 60.5 133.16 0.97

Beam Section

Continuous 3/8" web plates on both sides of beam web included

DESIGN

COMBINATION

FORCES DESIGN RESULTS

19/21

AECOM Response

PT Beam Flexural design Calculations /column at Grid C-3.7 tension

11/14/2025

Existing Column P-M Checks (C/3.7 grid Intersection)( moment after jacking) Calculation of Axial- flexural Interaction strength & ACI 318-19 Code References

Column will be in tension when the beam at level 21 , 21WB-11 unloaded by the jacking force applied at Grid C/3.5 between Level 21 &22.

Shop drawings indicate the column longitudinal reinforcement is fully lap spliced to transfer tension between Levels 21 to 23. See refernces below

Max. column DCR = 0.66 < 1.0

Based on ETABS Model Moments

Beam Reinforcement, Capacity not adequate

.6

20/21

AECOM Response

PT Beam Flexural design Calculations /column at Grid C-3.7 tension

21/21

File details come from the government source that posted it. Updated .