07-mathcad wall spread soil

17
N.Y.S. DEPARTMENT OF TRANSPORTATION OFFICE OF STRUCTURES, DESIGN BUREAU 1:59 PM 7/30/2009 NYSDOT CANTILEVER RETAINING WALL ANALYSIS SPREAD FOOTING ON SOIL AASHTO LRFD - FOURTH EDITION 2007 (2008 INTERIM) Click here to go to Table of Contents. Disclaimer (Expand/Collapse) About this worksheet (Expand/Collapse) JOB DESCRIPTION: FORT DRUM CONNECTOR OVER ROUTE 11 780426.122.75 1079160 PIN: BIN: BEG. RW SEC 1 AT ST 8+048.79 WALL: MD RATAN DESIGNED BY: CARMAN DENISE CHECKED BY: Material and Geotechnical data inputs: 413 MPa Yield strength of reinforcing bars 21 MPa Compressive strength of concrete 50 mm Clear Cover of reinforcement in wall 75 mm Clear Cover of reinforcement in Footing 1 Exposure Factor. 1.0 for Class 1 Exposure & 0.75 for Class 2 Exposure . LRFD Art. 5.7.3.4 (2007) P:\Office of Engineering\abwall\abwall\

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Page 1: 07-Mathcad Wall Spread Soil

N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

NYSDOT CANTILEVER RETAINING WALL ANALYSIS

SPREAD FOOTING ON SOIL AASHTO LRFD - FOURTH EDITION 2007

(2008 INTERIM)

Click here to go to Table of Contents.

Disclaimer (Expand/Collapse)

About this worksheet (Expand/Collapse)

JOB DESCRIPTION:

FORT DRUM CONNECTOR OVER ROUTE 11

780426.122.75 1079160PIN: BIN:

BEG. RW SEC 1 AT ST 8+048.79WALL:

MD RATANDESIGNED BY:

CARMAN DENISECHECKED BY:

Material and Geotechnical data inputs:413 MPa Yield strength of reinforcing bars

21 MPa Compressive strength of concrete

50 mm Clear Cover of reinforcement in wall

75 mm Clear Cover of reinforcement in Footing

1 Exposure Factor. 1.0 for Class 1 Exposure & 0.75 for Class 2Exposure. LRFD Art. 5.7.3.4 (2007)

P:\Office of Engineering\abwall\abwall\

Page 2: 07-Mathcad Wall Spread Soil

N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

230 kPa Service bearing resistance of soil

0.58 Coefficient of sliding (friction)

0.8 Resistance factor for Sliding

35 deg Internal angle of friction for backfill

20 kN/m3 Unit weight of backfill

30 deg Internal angle of friction for soil under the footing

18 kN/m3 Unit weight of soil under the footing

0.45 Resistance Factor for bearing.LRFD T 10.5.5.2.2-1 (2007)

0 m Berm Width

0 deg Berm Slope

Note: Input Berm Width = 0 and Berm Slope = 0 for following conditions:1.The ground surface in front of abutment is level.2.There is a very long berm with a slope. (Roughly: b/B > 6, see Figure.)3.There is a reasonable berm with slope but the bottom of footing is below the toe of slope.

140.00 m Elevation of water table

139.3 m Elevation at bottom of Footing

0 m Distance of Traffic edge (See following Figure)

Extra Loads:

27.57 kN/m XDL1 Extra Dead Load 1

33 mm DXDL1 Distance of Extra Load 1 from the front face of wall

0 kN/m XDL2 Extra Dead Load 2

0 mm DXDL2 Distance of Extra Load 2 from the front face of wall

P:\Office of Engineering\abwall\abwall\

Page 3: 07-Mathcad Wall Spread Soil

N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

Wall Geometric Inputs:

1100 mm Thickness of Footing

3.9 m Heel Width

2.0 m Toe Width

9.67 m Fill height over heel (See following Figure)

0 mm Height of Reveal (See following Figure)

0 deg Slope of backfill over heel ( See following Figure)

0 m Distance of slope of backfill over heel (See following Figure)

457 mm Thickness of wall at top (See following Figure)

800 mm Thickness of step (See following Figure)

6.397 m Height of Step (See following Figure)

0.4 m Fill height over toe (See following Figure)

23 m Length of wall

P:\Office of Engineering\abwall\abwall\

Page 4: 07-Mathcad Wall Spread Soil

N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

Input Program

Live Load Surcharge (Expand/Collapse)

Figure:

dLLS 0 m= VextEqH 0.61 m= dsh 0 m=

dext

αh 0 deg⋅=Hr 0 m=

twall 0.457 m=

Hfh 9.67 m= tstep 0.8 m=

Hstep 6.397 m= BW 0 m=

Hft 0.4 m=

αt 0 deg⋅=tftg 1.1 m=

ELbf 139.3 m=dw 0.7− m=

Wh 3.9 m= Wt 2 m= ELw 140 m=

Figure:

P:\Office of Engineering\abwall\abwall\

Page 5: 07-Mathcad Wall Spread Soil

N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

Loads Calculation

Load Factors & Design Data

Analyze and Combine Force Effect

Rebar sizes

Temp & Shrinkage Reinforcement for wall

Reinforcement Graph

Temp & Shrinkage Reinforcement Graph

Program for Reinforcement in Wall at Section (d)

Program for Reinforcement in Wall at Section (c)

Program for Reinforcement in Wall at Section (b)

Program for Reinforcement in Wall at Section (a)

Overturning Check

Sliding check

Structural design of FootingBearing Resistance Calculation

Bearing resistance check

Temp. and Shrinkage Reinforcement in footing

Programming for Reinforcement in bottom footing

Programming for Reinforcement in top footing

Shear design of footing

Output Programming

P:\Office of Engineering\abwall\abwall\

Page 6: 07-Mathcad Wall Spread Soil

N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

RESULTS:

LOAD FACTORS:

LOAD_FACTORS

"LOADS / CASES"

"WALL DL"

"FOOTING DL"

"EXTRA DL 1"

"EXTRA DL 2"

"FILL.AT.HEEL (EV)"

"FILL.AT.TOE (EV)"

"VERT. LS AT HEEL"

"VERT.COM. OF EH"

"VERT.COM. OF LS"

"HOR. COM OF EH"

"HOR. COM OF LS"

"Strength I-a"

0.9

0.9

0.9

0.9

1

1

0

1.5

1.75

1.5

1.75

"Strength I-b"

1.25

1.25

1.25

1.25

1.35

1.35

1.75

1.5

1.75

1.5

1.75

"Service I"

1

1

1

1

1

1

1

1

1

1

1

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎠

=

Strength I-a: Min. vertical load and Max. lateral load (without the vertical component of LS) Strength I-b: Max. vertical load and Max. lateral load Service I: Unfactored load for bearing and serviceability check

EQUIVALENT HEIGHT OF LIVE LOAD SURCHARGE:

EqH 0.61 m=

FACTORED VERTICAL LOADS ON WALL:

VLwall

"LOADS / CASES"

"WALL DL"

"EXTRA DL 1"

"EXTRA DL 2"

"TOTAL"

"Strength I-a"

202.191

24.806

0

226.997

"Strength I-b"

280.821

34.453

0

315.274

"Service I"

224.656

27.563

0

252.219

"UNIT"

"kN"

"kN"

"kN"

"kN"

⎛⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎠

=

P:\Office of Engineering\abwall\abwall\

Page 7: 07-Mathcad Wall Spread Soil

N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

ADJUSTED BACKFILL SLOPE ANGLE: βh 0=

COEFFICIENT OF ACTIVE EARTH PRESSURE: Ka 0.271=

FACTORED HORIZONTAL LOADS ON WALL:

HLwall

"LOADS / CASES"

"HOR. COM OF EH"

"HOR. COM OF LS"

"TOTAL"

"Strength I-a"

379.998

55.895

435.894

"Strength I-b"

379.998

55.895

435.894

"Service I"

253.332

31.94

285.272

"UNIT"

"kN"

"kN"

"kN"

⎛⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎠

=

FACTORED VERTICAL LOADS ON FOOTING:

VLftg

"LOADS / CASES"

"WALL DL"

"FOOTING DL"

"EXTRA DL 1"

"EXTRA DL 2"

"FILL.AT.HEEL (EV)"

"FILL.AT.TOE (EV)"

"VERT. LS AT HEEL"

"VERT.COM. OF EH"

"VERT.COM. OF LS"

"TOTAL"

"Strength I-a"

202.191

166.91

24.806

0

806.412

15.996

0

0

0

1216.315

"Strength I-b"

280.821

231.82

34.453

0

1088.657

21.594

100.252

0

0

1757.597

"Service I"

224.656

185.456

27.563

0

806.412

15.996

57.287

0

0

1317.37

"UNIT"

"kN"

"kN"

"kN"

"kN"

"kN"

"kN"

"kN"

"kN"

"kN"

"kN"

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎠

=

P:\Office of Engineering\abwall\abwall\

Page 8: 07-Mathcad Wall Spread Soil

N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

FACTORED HORIZONTAL LOADS ON FOOTING:

HLftg

"LOADS / CASES"

"HOR. COM OF EH"

"HOR. COM OF LS"

"TOTAL"

"Strength I-a"

471.368

62.254

533.622

"Strength I-b"

471.368

62.254

533.622

"Service I"

314.245

35.574

349.819

"UNIT"

"kN"

"kN"

"kN"

⎛⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎠

=

MOMENT ARMS:NOTE:ARM SIGNS ARE ACCORDING TO COORDINATE SYSTEMS

Marms

"*********"

"WALL DL"

"FOOTING DL"

"EXTRA DL 1"

"EXTRA DL 2"

"FILL.AT.HEEL (EV)"

"FILL.AT.TOE (EV)"

"VERT. LS AT HEEL"

"VERT.COM. OF EH"

"VERT.COM. OF LS"

"HOR. COM OF EH"

"HOR. COM OF LS"

"About Wall CG. (m)"

0

0

0.533

0

0

0

0

0

0

3.223

4.835

"About Footing Toe (m)"

2.566−

3.578−

2.033−

0

5.054−

1−

4.807−

7.157−

7.157−

3.59

5.385

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎠

=

P:\Office of Engineering\abwall\abwall\

Page 9: 07-Mathcad Wall Spread Soil

N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

MOMENT ABOUT WALL CENTER OF GRAVITY:

Mwall

"LOADS / CASES"

"WALL DL"

"EXTRA DL 1"

"EXTRA DL 2"

"HOR. COM OF EH"

"HOR. COM OF LS"

"TOTAL"

"Strength I-a"

0

13.22

0

1225.13

270.31

1508.66

"Strength I-b"

0

18.36

0

1225.13

270.31

1513.8

"Service I"

0

14.69

0

816.75

154.46

985.9

"UNIT"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎠

=

MOMENT ABOUT FOOTING TOE:

Mtoe

"LOADS / CASES"

"WALL DL"

"FOOTING DL"

"EXTRA DL 1"

"EXTRA DL 2"

"FILL.AT.HEEL (EV)"

"FILL.AT.TOE (EV)"

"VERT. LS AT HEEL"

"VERT.COM. OF EH"

"VERT.COM. OF LS"

"HOR. COM OF EH"

"HOR. COM OF LS"

"TOTAL"

"Strength I-a"

518.89−

597.42−

50.44−

0

4076.84−

16−

0

0

0

1692.58

335.31

3231.7−

"Strength I-b"

720.68−

829.75−

70.06−

0

5503.74−

21.6−

482.02−

0

0

1692.58

335.31

5599.95−

"Service I"

576.54−

663.8−

56.05−

0

4076.84−

16−

275.44−

0

0

1128.39

191.61

4344.68−

"UNIT"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎠

=

P:\Office of Engineering\abwall\abwall\

Page 10: 07-Mathcad Wall Spread Soil

N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

MOMENT ABOUT FOOTING CENTER OF GRAVITY:

Mftg.cg

"LOADS / CASES"

"WALL DL"

"FOOTING DL"

"EXTRA DL 1"

"EXTRA DL 2"

"FILL.AT.HEEL (EV)"

"FILL.AT.TOE (EV)"

"VERT. LS AT HEEL"

"VERT.COM. OF EH"

"VERT.COM. OF LS"

"HOR. COM OF EH"

"HOR. COM OF LS"

"TOTAL"

"Strength I-a"

204.81

0

38.35

0

1190.47−

41.25

0

0

0

1692.58

335.31

1121.83

"Strength I-b"

284.46

0

53.26

0

1607.13−

55.69

123.19−

0

0

1692.58

335.31

690.98

"Service I"

227.57

0

42.61

0

1190.47−

41.25

70.39−

0

0

1128.39

191.61

370.56

"UNIT"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

"kN-m"

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎠

=

SLIDING,OVERTURNING AND BEARING RESISTANCE CHECK:

Stabilityftg

"STABILITY/BEARING CHECK:"

"Vertical Force"

"Lateral Force"

"Sliding Resistance"

"Sliding Check"

"Moment about toe"

"Moment about cg. of footing"

"Eccentricity"

"Allowable Eccentricity"

"Eccentricity Check"

"Bearing Pressure"

"Bearing Resistance"

"Bearing Check"

"Strength I-a"

1216.315

533.622

564.37

"OK"

3231.702−

1121.83

0.922

1.789

"OK"

229.002

422.211

"OK"

"Strength I-b"

1757.597

533.622

815.525

"OK"

5599.95−

690.979

0.393

1.789

"OK"

275.951

422.211

"OK"

"Service I"

1317.37

349.819

611.26

"OK"

4344.677−

370.558

0.281

1.193

"OK"

199.819

229.999

"OK"

"UNIT"

"kN"

"kN"

"kN"

"**"

"kN-m"

"kN-m"

"m"

"m"

"**"

"kPa"

"kPa"

"**"

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎠

=

P:\Office of Engineering\abwall\abwall\

Page 11: 07-Mathcad Wall Spread Soil

N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

GEOTECHNICAL OUTPUT:

FOOTING IS NEAR SLOPE

GEOTECH

"Is footing on or near slope?"

"Int.Angle.of.Friction"

"Df"

"Dw"

"B"

"N.gama"

"S.gama"

"N.gama.m"

"C.w.gamma"

"N.q"

"S.q"

"d.q"

"N.qm"

"C.w.q"

"q.n"

"q.R"

"No"

30

1.5

0.8

7.157

17

0.876

14.884

0.5

18

1.18

1.044

22.169

0.767

0.938

0.422

"****"

"deg"

"m"

"m"

"m"

"****"

"****"

"****"

"****"

"****"

"****"

"****"

"****"

"****"

"MPa"

"MPa"

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎠

=

FOOTING IS ON SLOPE

LRFD A 10.6.3.1 (2007) US

Note: For factored bearing resistance calculation the AASHTO LRFD approach along with relative NYSDOT blue pages isfollowed. The load inclination factors are omitted according toLRFD C 10.6.3.1.2a, page 10-63, 2nd paragraph. Figure10.6.3.1.2c-2 is used for modified bearing capacity factors.

qu ϕb qn⋅=

Footing not on or near slope Footing on or near slope:

qn γs Df⋅ Nqm⋅ Cwq⋅ 0.5 γs⋅ B⋅ Nγm⋅ Cwγ⋅+= qn 0.5 γs⋅ B⋅ Nγm⋅ Cwγ⋅=

P:\Office of Engineering\abwall\abwall\

Page 12: 07-Mathcad Wall Spread Soil

N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

MOMENT & SHEAR FOR FOOTING DESIGN:

Footingtable

"**************"

"Toe Pressure"

"Heel Pressure"

"Dx"

"Toe Moment"

"Heel Moment"

"Toe Shear"

"Heel Sheer"

"Allowable Shear"

"Shear Check"

"Strength I-a"

301.404

38.58

0

491.169−

991.699−

255.93−

415.385−

671.675

"OK"

"Strength I-b"

326.583

164.7

0

536.586−

911.201−

276.79−

413.357−

671.675

"OK"

"Service I"

227.523

140.708

0

371.018−

566.699−

190.821−

261.81−

671.675

"OK"

"UNIT"

"kPa"

"kPa"

"m"

"kN-m"

"kN-m"

"kN"

"kN"

"kN"

"****"

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎟⎠

=

FLAG:

BEARING "OK"=

OVERTURNING "OK"=

SLIDING "OK"=

SHEAR "OK"=

GO TO DATA INPUT

P:\Office of Engineering\abwall\abwall\

Page 13: 07-Mathcad Wall Spread Soil

N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

REINFORCEMENT SUMMARY

D1-Bars

"**********"

"Wall at (a)"

"Wall at (d)"

"D1-Bar."

16

16

"S(mm)"

450

200

"Design Control"

"Shri-Temp. A 5.10.8"

"Shri-Temp. A 5.10.8"

⎛⎜⎜⎝

⎞⎟⎟⎠

=

M-Bars

"**********"

"Wall at (a)"

"Wall at (b)"

"Wall at (c)"

"Wall at (d)"

"Footing at (e)"

"Footing at (f)"

"Ht.FromTop(m)"

2.417

4.835

7.252

9.67

9.745

10.684

"M-Bar."

16

16

22

29

25

22

"S(mm)"

450

250

175

175

150

175

"Design Control"

"NYSDOT BM A 15.2"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"Moment"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"Gov. Limit"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-a"

"Strength I-b"

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎠

=

Expand the folllowing region for alternative bar sizes.

Reinforcement Table in Detail (Expand/Collapse)

P:\Office of Engineering\abwall\abwall\

Page 14: 07-Mathcad Wall Spread Soil

N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

Reinforcement in Back Face of Wall at Section a: Hw.sec.a 7.252 m= from the top of footing

Barsw.sec.a

"Bar No."

16

19

22

25

29

32

36

"Vert. Bar Sp. (mm)"

450

450

450

450

450

450

450

"Design Control"

"NYSDOT BM A 15.2"

"NYSDOT BM A 15.2"

"NYSDOT BM A 15.2"

"NYSDOT BM A 15.2"

"NYSDOT BM A 15.2"

"NYSDOT BM A 15.2"

"NYSDOT BM A 15.2"

"Governing Limit State"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎟⎠

=

Reinforcement in Back Face of Wall at Section b: Hw.sec.b 4.835 m= from the top of footing

Barsw.sec.b

"Bar No."

16

19

22

25

29

32

36

"Vert. Bar Sp. (mm)"

250

375

450

450

450

450

450

"Design Control"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"NYSDOT BM A 15.2"

"NYSDOT BM A 15.2"

"NYSDOT BM A 15.2"

"NYSDOT BM A 15.2"

"NYSDOT BM A 15.2"

"Governing Limit State"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎟⎠

=

Reinforcement in Back Face of Wall at Section c: Hw.sec.c 2.417 m= from the top of footing

Barsw.sec.c

"Bar No."

16

19

22

25

29

32

36

"Vert. Bar Sp. (mm)"

75

125

175

225

300

375

450

"Design Control"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"NYSDOT BM A 15.2"

"Governing Limit State"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎟⎠

=

P:\Office of Engineering\abwall\abwall\

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N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

Reinforcement in Back Face of Wall at Section d: Hw.sec.d 0= from the top of footing

Barsw.sec.d

"Bar No."

16

19

22

25

29

32

36

"Vert. Bar Sp. (mm)"

50

75

100

125

175

225

275

"Design Control"

"Moment"

"Moment"

"Moment"

"Moment"

"Moment"

"Moment"

"Moment"

"Governing Limit State"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎟⎠

=

Reinforcement in Footing Top:

Barsftg.top

"Bar No."

16

19

22

25

29

32

36

"Trans. Bar Sp. (mm)"

50

75

125

150

200

250

325

"Design Control"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"Governing Limit State"

"Strength I-a"

"Strength I-a"

"Strength I-a"

"Strength I-a"

"Strength I-a"

"Strength I-a"

"Strength I-a"

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎟⎠

=

Reinforcement in Footing Bottom :

Barsftg.bot

"Bar No."

16

19

22

25

29

32

36

"Trans. Bar Sp. (mm)"

100

125

175

250

325

400

450

"Design Control"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"Min. Req. A5.7.3.3.2"

"NYSDOT BM A 15.2"

"Governing Limit State"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

"Strength I-b"

⎛⎜⎜⎜⎜⎜⎜⎜⎜⎜⎝

⎞⎟⎟⎟⎟⎟⎟⎟⎟⎟⎠

=

Reinforcement Table in Detail (Expand/Collapse)

P:\Office of Engineering\abwall\abwall\

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N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

Reinforcement Graph

0 2 4 6 8 10

100

200

300

400

500

BAR SIZE # 5 (16)BAR SIZE # 6 (19)BAR SIZE # 7 (22)BAR SIZE # 8 (25)BAR SIZE # 9 (29)BAR SIZE # 10 (32)BAR SIZE # 11 (36)

FLEXURAL REINFORCEMENT (M BARS) IN WALL

HEIGHT OF WALL (ZERO AT TOP OF FOOTING)

SPA

CIN

G

P:\Office of Engineering\abwall\abwall\

Page 17: 07-Mathcad Wall Spread Soil

N.Y.S. DEPARTMENT OF TRANSPORTATIONOFFICE OF STRUCTURES, DESIGN BUREAU

1:59 PM 7/30/2009

0 2 4 6 8 10200

300

400

500

400

600

800

1000

1200

1400

BAR SIZE # 5 (16)BAR SIZE # 6 (19)BAR SIZE # 7 (22)THICKNESS OF WALL

TEMPERATURE AND SHRINKAGE REINFORCEMENT IN WALL

HEIGHT OF WALL (ZERO AT TOP OF FOOTING)

SPA

CIN

G

THIC

KN

ESS

OF

WA

LLReinforcement Graph

GO TO DATA INPUT

P:\Office of Engineering\abwall\abwall\