psc box shear design (p 213-228)

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  • 7/31/2019 Psc Box Shear Design (P 213-228)

    1/16

    DL FPDL SIDL LL FPLL DL FPDL SIDL LL FPLL

    91 0 36 62 0 171 0 76 131 0

    134 0 45 72 0 596 0 228 371 0

    105 0 32 48 0 962 0 347 542 0

    116 0 34 47 0 1391 0 481 722 0

    130 0 36 48 0 1888 0 630 911 0

    144 0 38 47 0 2456 0 795 1105 0

    159 0 40 47 0 3098 0 974 1307 0

    175 0 42 46 0 3819 0 1168 1514 0

    192 0 43 45 0 4625 0 1377 1730 0

    171 0 40 64 0 3504 0 1023 1320 0

    151 0 37 61 0 2842 0 851 1104 0

    134 0 35 54 0 2263 0 695 974 0

    118 0 33 46 0 1761 0 553 843 0

    104 0 30 39 0 1324 0 426 712 0

    91 0 27 37 0 950 0 315 581 0

    78 0 24 34 0 637 0 218 451 0

    92 0 30 54 0 381 0 137 319 0

    69 0 24 58 0 181 0 70 187 0

    section 14

    section 15

    section 17

    section 26

    section 22

    section 23

    section 24

    section 25

    section 18

    section 19

    section 21

    1.25*(DL+FPDL) + 2.0*(SIDL) + 2.5*(LL+FPLL)

    corr moment in tm

    section 7

    section 8

    section 9

    section 10

    calculation of ultimate shear, corresponding ultimate moment and ultimate torsion

    shear force in ton

    section / load

    ultimate shear in ton ultimate moment in tm

    9088

    341

    438

    315

    331

    section 11

    section 12

    section 13

    355

    374

    396

    693

    2129

    3252

    4506

    5898

    7423

    418

    439

    454

    415

    10895

    12860

    9726

    8015

    6654

    5415

    4287

    373

    329

    288

    3270

    2360

    1548

    834

    231

    310

    279

    260

  • 7/31/2019 Psc Box Shear Design (P 213-228)

    2/16

    1.25*(DL+FPDL) + 2.0*(SIDL) + 2.5*(LL+FPLL)

    DL FPDL SIDL LL FPLL

    0 0 0 46 0

    0 0 0 52 0

    0 0 0 34 0

    0 0 0 33 0

    0 0 0 32 0

    0 0 0 32 0

    0 0 0 31 0

    0 0 0 29 0

    0 0 0 27 00 0 0 46 0

    0 0 0 44 0

    0 0 0 40 0

    0 0 0 34 0

    0 0 0 29 0

    0 0 0 28 0

    0 0 0 24 0

    0 0 0 36 0

    0 0 0 40 0

    85

    73

    70

    60

    90

    100

    0

    0

    0

    0

    0

    73

    68115

    110

    100

    0

    00

    0

    0

    0

    130

    0

    section 9

    section 10

    section 11

    section 12

    section / load

    section 7

    section 8

    115

    section 13

    torsion in tm

    CENTRIFUGAL

    0

    0

    0

    0

    0

    0

    78

    ultimate torsion in tm

    80

    80

    85

    83

    section 14

    section 15section 17

    section 18

    section 24

    section 25

    section 26

    section 19

    section 21

    section 22

    section 23

  • 7/31/2019 Psc Box Shear Design (P 213-228)

    3/16

    grade of concrete = M 40

    ton ton m m m4 m2 m m m t/m2 t/m2 ton ton

    0.0 621.0 2.100 0.8750 1.941 3.382 0.70 0 0.70 142.7 183.6 209.7 209.7

    0.0 1064.7 2.100 0.8750 1.941 3.382 0.70 0 0.70 165.8 314.8 243.8 243.8

    0.0 1506.2 2.429 1.0179 2.807 3.613 0.70 0 0.70 181.8 416.9 309.2 309.2

    0.0 1523.1 2.757 1.1630 3.863 3.842 0.70 0 0.70 178.8 396.4 345.0 345.0

    0.0 1757.6 3.086 1.3107 5.127 4.073 0.70 0 0.70 184.0 431.5 397.5 397.5

    0.0 1997.2 3.414 1.4597 6.604 4.302 0.70 0 0.70 188.8 464.2 451.2 451.2

    43.5 2214.5 3.743 1.6107 8.317 4.532 0.70 0 0.70 192.3 488.6 503.8 538.6

    50.2 2422.9 4.071 1.7625 10.267 4.762 0.70 0 0.70 195.1 508.8 556.1 596.2

    0.0 2803.8 4.400 2.1255 14.684 5.544 0.70 0 0.70 194.7 505.7 599.7 599.7

    0.0 2812.5 4.400 2.1255 14.684 5.544 0.70 0 0.70 194.9 507.3 600.4 600.4

    93.7 2417.1 4.071 1.7625 10.267 4.762 0.70 0 0.70 195.0 507.6 555.6 630.6

    0.0 1790.1 3.743 1.6107 8.317 4.532 0.70 0 0.70 178.5 395.0 467.8 467.8

    0.0 1545.2 3.414 1.4182 6.153 3.723 0.50 0 0.50 181.6 415.0 309.9 309.9

    0.0 1528.6 3.086 1.2743 4.808 3.559 0.50 0 0.50 183.7 429.5 283.5 283.5

    0.0 1295.6 2.757 1.1320 3.648 3.395 0.50 0 0.50 176.5 381.6 243.3 243.3

    0.0 1281.5 2.429 0.9923 2.671 3.231 0.50 0 0.50 178.8 396.6 217.1 217.1

    0.0 856.5 2.100 0.8549 1.862 3.066 0.50 0 0.50 159.9 279.4 167.9 167.9

    70.6 417.3 2.100 0.8549 1.862 3.066 0.50 0 0.50 133.3 136.1 139.9 196.4

    section 18

    section 24

    section 25

    section 26

    section 19

    section 21

    section 22

    section 23

    section 14

    section 15

    section 17

    section

    Vco' =

    Vco +

    0.8*verti

    compo of

    prestress

    value of b

    as per

    IRC cl

    14.1.2

    Vco/bD as

    per IRC cl

    14.1.2

    value of

    fcp as per

    IRC cl

    14.1.2

    Vco

    section 7

    section uncracked in flexure

    vertical

    compo of

    prestress

    after all

    losses

    horizontal

    compo of

    prestress

    after all

    losses

    overall

    depth of

    section

    neutral

    axis depth

    from top

    moment

    of inertiaarea

    total web

    thickness

    total I.D of

    sheathing

    for

    reduction

    in web

    section 8

    section 9

    section 10

    section 11

    section 12

    section 13

  • 7/31/2019 Psc Box Shear Design (P 213-228)

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    t/m2 m ton tm m m m4 m2 tm ton m m ton ton ton

    sec 7 390.7 top 0.135 341 693 2.100 0.8750 1.941 3.382 1212.2 595.8 1.965 0.70 628.0 209.7 209.7 uncrack

    sec 8 663.8 top 0.148 438 2129 2.100 0.8750 1.941 3.382 1696.7 348.8 1.952 0.70 380.7 243.8 243.8 uncrack

    sec 9 889.8 top 0.152 315 3252 2.429 1.0179 2.807 3.613 2608.4 252.9 2.277 0.70 290.2 309.2 290.2 crack

    sec 10 860.0 top 0.152 331 4506 2.757 1.1630 3.863 3.842 3062.3 224.6 2.605 0.70 267.3 345.0 267.3 crack

    sec 11 952.0 top 0.152 355 5898 3.086 1.3107 5.127 4.073 3894.3 234.1 2.934 0.70 282.1 397.5 282.1 crack

    sec 12 1032.6 top 0.172 374 7423 3.414 1.4597 6.604 4.302 4796.3 241.3 3.242 0.70 294.5 451.2 294.5 crack

    sec 13 1084.9 top 0.229 396 9088 3.743 1.6107 8.317 4.532 5689.9 248.1 3.514 0.70 305.7 538.6 305.7 crack

    sec 14 1145.1 top 0.273 418 10895 4.071 1.7625 10.267 4.762 6699.7 256.9 3.798 0.70 319.1 596.2 319.1 crack

    sec 15 1232.8 top 0.348 439 12860 4.400 2.1255 14.684 5.544 8430.2 287.4 4.052 0.70 353.8 599.7 353.8 crack

    sec 17 1236.7 top 0.348 454 9726 4.400 2.1255 14.684 5.544 8451.8 394.3 4.052 0.70 460.7 600.4 460.7 crack

    sec 18 1124.3 top 0.294 415 8015 4.071 1.7625 10.267 4.762 6602.8 342.1 3.777 0.70 404.0 630.6 404.0 crack

    sec 19 893.8 top 0.172 373 6654 3.743 1.6107 8.317 4.532 4900.5 274.3 3.571 0.70 332.8 467.8 332.8 crack

    sec 21 867.0 top 0.149 329 5415 3.414 1.4182 6.153 3.723 4024.2 244.1 3.265 0.50 282.3 309.9 282.3 crack

    sec 22 885.3 top 0.149 288 4287 3.086 1.2743 4.808 3.559 3555.0 238.4 2.937 0.50 272.8 283.5 272.8 crack

    sec 23 777.1 top 0.148 260 3270 2.757 1.1320 3.648 3.395 2757.6 219.5 2.609 0.50 250.0 243.3 243.3 uncrack

    sec 24 798.4 top 0.148 231 2360 2.429 0.9923 2.671 3.231 2349.3 229.5 2.281 0.50 256.2 217.1 217.1 uncrack

    sec 25 556.1 top 0.151 310 1548 2.100 0.8549 1.862 3.066 1478.3 296.1 1.949 0.50 318.9 167.9 167.9 uncrack

    sec 26 247.1 top 0.294 279 834 2.100 0.8549 1.862 3.066 940.0 314.8 1.806 0.50 336.0 196.4 196.4 uncrack

    net shear

    resistance

    Vc (min of

    Vcr &

    Vco)

    remark

    section cracked in flexure

    dist from

    extreme

    compressi

    on fibre to

    CG of

    cable db

    value of b

    as per

    IRC

    Vcr

    Vco' =

    Vco +

    verti

    compo of

    prestress

    overall

    depth of

    section

    neutral

    axis depth

    from top

    moment

    of inertiaarea

    value of

    Mt as per

    IRC

    Mt*V/Msection

    fpt as per

    IRC (max

    comp

    stress

    after all

    losses)

    tensile

    face at

    dist

    between

    cable CG

    and

    extreme

    tension

    fibre

    ultimate

    shear

    force V

    corr

    ultimate

    moment

    M

  • 7/31/2019 Psc Box Shear Design (P 213-228)

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    2.8

    1.9

    1.41.4

    1.4

    1.9

    1.9

    1.9

    1.9

    1.4

    4.8

    1.00.3

    0.4

    0.4

    4.8

    2.8

    1.4

    1.4

    1.4

    1.4

    1.4

    1.7

    1.3

    0.0

    0.2

    0.7

    1.9

    1.9

    1.9

    1.9

    1.9

    1.4336304

    271

    238

    205

    205

    0.50

    0.50

    0.50

    0.50

    0.50

    402

    435

    435

    402

    369

    0.70

    0.70

    0.70

    0.70

    0.70

    0.5046.214.7

    17.0

    13.4

    142.1

    82.8

    272.8

    243.3

    217.1

    167.9

    196.4

    98.6

    84.7

    0.0

    11.3

    39.7

    319.1

    353.8

    460.7

    404.0

    332.8

    282.3329288

    260

    231

    310

    279

    section 22

    section 23

    section 24

    section 25

    section 26

    418

    439

    454

    415

    373

    section 14

    section 15

    section 17

    section 18

    section 19

    section 21

    calculation of shear reinforcement

    section

    design ultimate shear

    force V

    net shear resistance

    Vc

    net design shear =V-

    Vcvalue of b as per IRC

    dt =(overall depth -

    5cm)

    min Ast /m length in

    each face of web as

    per cl 14.1.4

    Ast req per m length

    for V-Vc in each face

    of web as per cl

    14.1.4

    Ast to be provided

    per m length in each

    face of web

    cm cm2 cm2 cm2ton ton ton m

    section 13

    341

    438

    315331

    355

    374

    396

    section 7

    section 8

    290.2267.3

    section 11

    section 12

    section 9section 10

    282.1

    294.5

    305.7

    131.0

    193.7

    25.163.2

    72.4

    79.0

    90.6

    209.7

    243.8

    0.70

    205

    205

    238271

    304

    336

    369

    0.70

    0.70

    1.9

    1.9

    1.91.9

    0.70

    0.70

    0.700.70

    4.4

    6.5

    1.91.9

    4.4

    6.5

    0.71.6

    1.9

    1.9

    1.9

    1.9

    1.9

    1.9

    1.7

    1.6

    1.7

  • 7/31/2019 Psc Box Shear Design (P 213-228)

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    see cl 14.2.3.3

    tm m m m m m m m2 m

    115 2.65 2.65 0.24 0.24 0.35 1.86 4.9 9.0130 2.65 2.65 0.24 0.24 0.35 1.86 4.9 9.0

    85 2.65 2.65 0.24 0.24 0.35 2.19 5.8 9.7

    83 2.65 2.65 0.24 0.24 0.35 2.52 6.7 10.3

    80 2.65 2.65 0.24 0.24 0.35 2.85 7.5 11.0

    80 2.65 2.65 0.24 0.24 0.35 3.17 8.4 11.6

    78 2.65 2.65 0.24 0.24 0.35 3.50 9.3 12.3

    73 2.65 2.65 0.24 0.24 0.35 3.83 10.2 13.0

    68 2.65 2.65 0.24 0.48 0.35 4.04 10.7 13.4

    115 2.65 2.65 0.24 0.48 0.35 4.04 10.7 13.4

    110 2.65 2.65 0.24 0.24 0.35 3.83 10.2 13.0

    100 2.65 2.65 0.24 0.24 0.35 3.50 9.3 12.3

    85 2.75 2.75 0.24 0.24 0.25 3.17 8.7 11.8

    73 2.75 2.75 0.24 0.24 0.25 2.85 7.8 11.2

    70 2.75 2.75 0.24 0.24 0.25 2.52 6.9 10.5

    60 2.75 2.75 0.24 0.24 0.25 2.19 6.0 9.9

    90 2.75 2.75 0.24 0.24 0.25 1.86 5.1 9.2

    100 2.75 2.75 0.24 0.24 0.25 1.86 5.1 9.2

    torsional effect

    section 24

    section 25

    section 26

    ultimate

    torsion

    section 19

    section 21

    section 22

    section 23

    section 14

    section 15

    section

    section 7section 8

    section 9

    section 17

    section 18

    section 10

    section 11

    section 12

    section 13

    avr

    thickness

    of web

    c/c

    distance

    between

    top and

    bottom

    slab

    area

    enclosed

    Ao

    perimeter

    of area Ao

    c/c

    distance

    between

    web at top

    c/c

    distance

    between

    web at

    bottom

    avr

    thickness

    of deck

    slab

    within web

    portion

    avr

    thickness

    of bottom

    slab

  • 7/31/2019 Psc Box Shear Design (P 213-228)

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    FOR WEB : FOR BOTTOM SLAB :

    m m2 tm t/m2 t/m2 m m2 tm t/m2 t/m2

    0.35 4.9 115 33.3 42.9 0.24 4.9 115 48.6 42.9

    0.35 4.9 130 37.7 42.9 0.24 4.9 130 54.9 42.9

    0.35 5.8 85 20.9 42.9 0.24 5.8 85 30.5 42.9

    0.35 6.7 83 17.7 42.9 0.24 6.7 83 25.8 42.9

    0.35 7.5 80 15.2 42.9 0.24 7.5 80 22.1 42.9

    0.35 8.4 80 13.6 42.9 0.24 8.4 80 19.8 42.9

    0.35 9.3 78 11.9 42.9 0.24 9.3 78 17.4 42.9

    0.35 10.2 73 10.2 42.9 0.24 10.2 73 14.9 42.9

    0.35 10.7 68 9.0 42.9 0.48 10.7 68 6.6 42.9

    0.35 10.7 115 15.3 42.9 0.48 10.7 115 11.2 42.9

    0.35 10.2 110 15.5 42.9 0.24 10.2 110 22.6 42.9

    0.35 9.3 100 15.4 42.9 0.24 9.3 100 22.4 42.9

    0.25 8.7 85 19.5 42.9 0.24 8.7 85 20.3 42.90.25 7.8 73 18.5 42.9 0.24 7.8 73 19.3 42.9

    0.25 6.9 70 20.2 42.9 0.24 6.9 70 21.1 42.9

    0.25 6.0 60 19.9 42.9 0.24 6.0 60 20.8 42.9

    0.25 5.1 90 35.2 42.9 0.24 5.1 90 36.7 42.9

    0.25 5.1 100 39.1 42.9 0.24 5.1 100 40.7 42.9

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    0.00.0

    0.0

    0.0

    0.0

    0.0

    section 13 0.0 section 13

    torsional Ast /m

    length in each face of

    web as per cl 14.2.2

    and 14.2.3.3

    cm2

    section 7

    section 8

    section 9

    section 10

    section 11

    section 12

    torsional reinforcement and stresses

    sectionhwo Ao

    torsional

    moment

    torsional

    shear

    stress Vt

    Vtc as per

    table 7Ao

    torsional

    moment

    torsional

    shear

    stress Vt

    hwo

    section 8

    section 11

    0.0

    0.0

    0.0

    0.0

    section 9

    section 10

    0.0

    Vtc as per

    table 7

    torsional Ast /m

    length in each face of

    web as per cl 14.2.2

    and 14.2.3.3

    cm2

    section 7 3.2

    0.0

    0.0

    section 12 0.0

    3.7

    section 14

    section

    section 19

    section 21section 22

    section 23

    section 14

    section 15

    section 17

    section 18

    section 15

    section 17

    section 18

    section 19

    section 21

    section 23

    section 22

    section 24

    section 25

    section 26

    section 24

    section 25

    section 26

    0.0

    0.00.0

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

  • 7/31/2019 Psc Box Shear Design (P 213-228)

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    DECK SLAB : INNER FACE OF WEB DECK SLAB : END OF HAUNCH AND C/L OF SYMM.

    m m2 tm t/m2 t/m2 m m2 tm t/m2 t/m2

    0.34 4.9 115 34.3 42.9 0.19 4.9 115 61.5 42.9

    0.34 4.9 130 38.8 42.9 0.19 4.9 130 69.5 42.9

    0.34 5.8 85 21.6 42.9 0.19 5.8 85 38.6 42.9

    0.34 6.7 83 18.2 42.9 0.19 6.7 83 32.6 42.9

    0.34 7.5 80 15.6 42.9 0.19 7.5 80 28.0 42.9

    0.34 8.4 80 14.0 42.9 0.19 8.4 80 25.1 42.9

    0.34 9.3 78 12.3 42.9 0.19 9.3 78 22.0 42.9

    0.34 10.2 73 10.5 42.9 0.19 10.2 73 18.8 42.9

    0.34 10.7 68 9.3 42.9 0.19 10.7 68 16.6 42.9

    0.34 10.7 115 15.8 42.9 0.19 10.7 115 28.3 42.9

    0.34 10.2 110 15.9 42.9 0.19 10.2 110 28.6 42.9

    0.34 9.3 100 15.9 42.9 0.19 9.3 100 28.4 42.9

    0.34 8.7 85 14.3 42.9 0.19 8.7 85 25.7 42.9

    0.34 7.8 73 13.6 42.9 0.19 7.8 73 24.4 42.9

    0.34 6.9 70 14.9 42.9 0.19 6.9 70 26.6 42.9

    0.34 6.0 60 14.7 42.9 0.19 6.0 60 26.3 42.90.34 5.1 90 25.9 42.9 0.19 5.1 90 46.4 42.9

    0.34 5.1 100 28.8 42.9 0.19 5.1 100 51.5 42.9

    0.00.0

    0.0

    section 25

    2.7

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    2.4

    section 23

    section 24

    section 26

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    section 24section 25

    section 26

    section 14

    section 15

    section 17

    section 18

    section 19

    section 21

    section 22

    section 14 0.0

    sectionhwo Ao

    torsional

    moment

    section 8 0.0

    section 19

    section 21

    section 22

    section 23

    section 15

    section 17

    section 18

    section 9 0.0

    Vtc as per

    table 7

    torsional Ast /mlength in each face of

    web as per cl 14.2.2

    and 14.2.3.3

    cm2

    section 7 0.0

    torsional

    shear

    stress Vt

    section 10 0.0

    section 13 0.0

    section 11 0.0

    section 12 0.0

    torsional Ast /mlength in each face of

    web as per cl 14.2.2

    and 14.2.3.3

    cm2

    section 7 3.2

    Aotorsional

    moment

    torsional

    shear

    stress Vt

    Vtc as per

    table 7sectionhwo

    3.7

    section 9 0.0

    section 10 0.0

    section 8

    0.0

    section 12 0.0

    section 13 0.0

    section 11

  • 7/31/2019 Psc Box Shear Design (P 213-228)

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    see cl 14.2.3.3 we are conservatively providing longitudinal reinforcement for max torsional reinforcement

    total no of distribution faces for longitudinal reinforcement 8 max torsional moment 130 tm

    Asl per face = (T/8*Ao*0.87fy) *(0.5* perimeter of Ao) enclosed area Ao 4.9 m2

    perimeter of area Ao 9.0 m

    total longi r/f for said torsion Asl req on each face of web, deck slab and bottom slab 4.1 cm2

    2.22.65 0.64 4.1

    design reinforcement on each

    face per m length of the member

    bottom slab

    1.86 0.65 4.1 4.9 cl 15.3 2.6

    5.7 cl 15.4 (ii)

    max r/f due to torsion

    on each face as

    above

    cm2 cm2

    referencemembermin Ast on each face

    cm2

    total length of

    membertotal area of member

    m m2

    2.65 0.64

    web

    deck slab 4.1 5.7 2.2cl 15.4 (i)

    calculation of longitudinal reinforcement

  • 7/31/2019 Psc Box Shear Design (P 213-228)

    10/16

    m m m m ton ton t/m2 t/m2 t/m2 t/m2

    1.965 1.680 1.965 0.70 341 uncrack 0.0 247.7 33.3 281.1 479.6 safe

    1.952 1.680 1.952 0.70 438 uncrack 0.0 320.2 37.7 357.9 479.6 safe

    2.277 1.943 2.277 0.70 315 crack 0.0 197.8 20.9 218.7 479.6 safe

    2.605 2.206 2.605 0.70 331 crack 0.0 181.2 17.7 198.9 479.6 safe

    2.934 2.469 2.934 0.70 355 crack 0.0 172.6 15.2 187.8 479.6 safe

    3.242 2.731 3.242 0.70 374 crack 0.0 164.6 13.6 178.2 479.6 safe

    3.514 2.994 3.514 0.70 396 crack 0.0 161.1 11.9 173.0 479.6 safe

    3.798 3.257 3.798 0.70 418 crack 0.0 157.1 10.2 167.3 479.6 safe

    4.052 3.520 4.052 0.70 439 crack 0.0 154.6 9.0 163.6 479.6 safe

    4.052 3.520 4.052 0.70 454 crack 0.0 160.0 15.3 175.3 479.6 safe

    3.777 3.257 3.777 0.70 415 crack 0.0 157.1 15.5 172.5 479.6 safe

    3.571 2.994 3.571 0.70 373 crack 0.0 149.0 15.4 164.4 479.6 safe3.265 2.731 3.265 0.50 329 crack 0.0 201.2 19.5 220.7 479.6 safe

    2.937 2.469 2.937 0.50 288 crack 0.0 195.8 18.5 214.3 479.6 safe

    2.609 2.206 2.609 0.50 260 uncrack 0.0 199.5 20.2 219.7 479.6 safe

    2.281 1.943 2.281 0.50 231 uncrack 0.0 202.1 19.9 222.0 479.6 safe

    1.949 1.680 1.949 0.50 310 uncrack 0.0 318.1 35.2 353.3 479.6 safe

    1.806 1.680 1.806 0.50 279 uncrack 56.5 246.7 39.1 285.8 479.6 safesection 26

    section 19section 21

    section 22

    section 23

    section 24

    section 25

    section 18

    section 15

    section 17

    section 13

    shear

    governing

    criteria

    section 9

    section 10

    section 11

    section 12

    max

    allowable

    stress as

    per

    table_6

    section 7

    section 14

    max shear stress and section checking

    section

    dist

    between

    top of

    deck and

    CG of

    cable db

    0.8*overal

    l depth cl

    14.1.5

    value of

    db cl

    14.1.5

    value of b

    cl 14.1.2

    ultimate

    shear

    force Vremark

    relief due

    to verti

    compo of

    prest. cl

    14.1.5 &

    14.12

    section 8

    total

    shear

    stress

    (V+Vt)

    net shear

    stress due

    to ultimate

    shear V

    torsional

    shear

    stress due

    to Vt

  • 7/31/2019 Psc Box Shear Design (P 213-228)

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    section 21

    section 22

    section 14

    section 15

    section 17

    section 18

    section 19

    section 9top face

    bottom face

    top face

    " ---------- do ---------- "

    " ---------- do ---------- "

    " 12tor@100c/c " = 11.3 cm2

    " 10tor@200c/c " = 3.92 cm2

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    total reinforcement in deck slab : INNER FACE OF WEB

    location

    r/f due to transverse

    analysisr/f due to torsion

    cm2 cm2 cm2 cm2 cm2

    total r/f req as per

    design

    min r/f as per

    cl_15.4(i)required r/f

    section 7

    section 8top face 7.70 0.0

    bottom face 0.06 0.0

    3.1 7.77.7

    bottom face 0.06 0.0

    top face 7.70 0.0

    0.1 3.1 3.1

    0.1 3.1 3.17.7 3.1 7.7

    7.7

    0.1

    3.1

    7.70 0.0

    bottom face 0.06 0.0

    7.7

    section 10

    section 11

    section 12

    3.1 7.7

    " ---------- do ---------- "

    0.1 3.1 3.1

    " ---------- do ---------- "

    section 13

    0.067.700.06

    top face

    bottom facetop face

    bottom facetop face

    bottom face

    0.0

    0.0

    0.00.00.0

    7.70

    0.067.700.06

    7.70

    3.13.13.1

    7.70.17.7

    0.1

    7.7

    3.17.73.1

    7.70.1

    3.1

    3.13.13.1

    " ---------- do ---------- "

    7.7

    3.17.73.1

    7.73.1

    7.73.1

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    provided r/f

    section 23

    section 24

    section 25

    section 26

    0.0

    0.00.0

    top facebottom face

    top face

    bottom face

    top facebottom face

    top facebottom face

    top face

    bottom facetop facebottom face

    top facebottom face

    top facebottom face

    7.700.06

    7.700.06

    top facebottom face

    top facebottom face

    top facebottom face

    7.700.06

    7.700.06

    7.700.067.70

    0.06

    0.0

    0.0

    7.700.067.700.06

    7.70

    0.067.700.06

    0.00.0

    0.00.00.00.0

    7.7

    0.1

    0.00.00.00.0

    0.0

    0.00.00.0

    7.70.1

    7.70.17.70.1

    7.70.1

    7.70.1

    0.00.0

    0.00.0

    0.00.0

    3.1

    3.1

    7.70.17.70.1

    7.7

    0.17.70.1

    3.1

    3.13.13.1

    3.13.1

    3.13.13.13.1

    7.73.1

    7.73.1

    7.73.1

    7.7

    3.1

    3.13.1

    3.13.1

    3.13.1

    3.13.13.13.1

    7.73.17.73.1

    7.7

    3.17.73.1

    7.73.1

    7.70.1

    7.700.06

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    6.9

    4.27.14.27.1

    6.69.8

    4.27.14.29.61.7

    1.71.71.7

    4.27.14.2

    7.14.27.1

    1.71.71.7

    1.71.71.7

    9.66.69.86.9

    1.71.7

    1.71.71.71.7

    4.27.1

    7.1

    4.27.14.20.0

    2.42.42.72.7

    7.14.2

    7.14.27.1

    0.00.00.00.0

    0.00.0

    0.00.00.0

    0.00.00.0

    4.187.124.187.124.18

    0.00.0

    0.00.00.0

    4.187.124.187.12

    4.187.12

    4.187.124.18

    7.124.187.12

    bottom facetop face

    bottom facetop face

    bottom face

    7.124.18

    7.124.187.12

    bottom facetop face

    bottom facetop face

    bottom facetop face

    bottom facetop face

    bottom face

    top facebottom face

    top face

    section 22

    section 23

    section 24

    section 25

    section 26

    top facebottom face

    top facebottom facetop face

    section 14

    section 15

    section 17

    section 18

    section 19

    section 21

    4.2

    7.14.27.14.2

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    7.14.2

    " ---------- do ---------- "

    " ---------- do ---------- "

    4.2 1.7 4.2

    1.71.7

    1.71.71.71.7

    " ---------- do ---------- "

    section 13top face 7.12 0.0

    bottom face 4.18 0.07.1 1.7

    " ---------- do ---------- "

    4.2 1.7 4.27.1

    7.14.2

    7.14.27.1

    " ---------- do ---------- "

    section 12top face 7.12 0.0

    bottom face 4.18 0.07.1 1.7

    " ---------- do ---------- "

    4.2 1.7 4.27.1

    " ---------- do ---------- "

    section 11top face 7.12 0.0

    bottom face 4.18 0.07.1 1.7

    " ---------- do ---------- "

    4.2 1.7 4.2

    7.1" ---------- do ---------- "

    section 10top face 7.12 0.0

    bottom face 4.18 0.07.1 1.7

    7.1

    " ---------- do ---------- "4.2 1.7 4.2

    7.1

    " ---------- do ---------- "7.1

    section 9top face 7.12 0.0

    bottom face 4.18 0.0

    " ---------- do ---------- "7.8 1.7 7.8

    1.7

    10.8 1.7 10.8section 8

    top face 7.12 3.7bottom face 4.18 3.7

    1.7 10.4 " 12tor@100c/c " = 11.3 cm2

    bottom face 4.18 3.2 7.4 1.7 7.4 12tor@200+10tor@200=9.57 cm2

    cm2 cm2 cm2 cm2 cm2

    section 7top face 7.12 3.2 10.4

    total reinforcement in deck slab : END OF HAUNCH AND C/L OF SYMM.

    location

    r/f due to transverse

    analysisr/f due to torsion

    total r/f req as per

    design

    min r/f as per

    cl_15.4(i)required r/f

    provided r/f

    mailto:12tor@200+10tor@200=9.57%20cm2mailto:12tor@200+10tor@200=9.57%20cm2
  • 7/31/2019 Psc Box Shear Design (P 213-228)

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    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    6.0 3.5 6.0" ---------- do ---------- "

    0.0 3.5 3.5section 13

    top face 6.04 0.0bottom face 0.00 0.0

    6.0 3.5 6.0" ---------- do ---------- "

    0.0 3.5 3.5section 12

    top face 6.04 0.0bottom face 0.00 0.0

    6.0 3.5 6.00.0 3.5 3.5

    section 11top face 6.04 0.0

    bottom face 0.00 0.0

    6.0 3.5 6.00.0 3.5 3.5

    0.0 3.5 3.5section 10

    top face 6.04 0.0bottom face 0.00 0.0

    6.0 3.5 6.0section 9

    top face 6.04 0.0

    bottom face 0.00 0.0

    0.0 3.5 3.56.0 3.5 6.0

    section 8top face 6.04 0.0

    bottom face 0.00 0.0

    0.06.0 3.5 6.0 " 12tor@100c/c " = 11.3 cm20.0 3.5 3.5 " 10tor@200c/c " = 3.92 cm2

    cm2 cm2 cm2 cm2

    section 7top face 6.04 0.0

    bottom face 0.00

    total reinforcement in deck slab : CANTILEVER SLAB AT WEB FACE

    location

    r/f due to transverse

    analysisr/f due to torsion

    total r/f req as per

    design

    min r/f as per

    cl_15.4(i)required r/f

    provided r/f

    cm2

    section 14

    section 15

    section 17

    section 18

    section 26

    top facebottom face

    top facebottom facetop face

    bottom facetop face

    section 19

    section 21

    bottom facetop face

    bottom facetop face

    section 24

    section 25

    section 22

    section 23bottom face

    top facebottom face

    top face

    bottom face

    top facebottom face

    top face

    bottom facetop face

    bottom face

    6.040.00

    6.040.006.04

    0.006.04

    0.006.04

    0.006.040.006.04

    0.00

    0.00.0

    0.00.00.0

    0.00.0

    0.00

    6.04

    0.00.00.00.0

    0.006.04

    0.006.04

    0.00

    6.04

    6.0

    0.06.0

    0.0

    0.00.0

    0.0

    0.00.00.0

    6.0

    0.0

    6.00.06.0

    0.00.0

    6.00.0

    0.0

    0.06.00.06.0

    3.53.5

    3.53.5

    3.5

    6.00.0

    6.00.03.5

    3.5

    3.5

    3.5

    3.53.53.5

    3.53.5

    6.0

    3.5

    3.53.53.53.5

    3.56.03.56.0

    6.03.5

    6.03.56.0

    3.5

    3.5

    6.03.56.0

    3.5

    6.03.56.0

    3.5

    3.53.53.5

    0.06.00.0

    0.00.0

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    3.56.0

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    2.0 3.6 3.61.8 3.6 3.6

    section 13top face 2.03 0.0

    bottom face 1.76 0.0

    2.0 3.6 3.61.8 3.6 3.6

    section 12top face 2.03 0.0

    bottom face 1.76 0.0

    2.0 3.6 3.61.8 3.6 3.6

    section 11top face 2.03 0.0

    bottom face 1.76 0.0

    2.0 3.6 3.61.8 3.6 3.6

    section 10top face 2.03 0.0

    bottom face 1.76 0.0

    0.0

    2.0 3.6 3.6 " 12tor@200c/c "

    1.8 3.6 3.6 = 5.65 cm2 both face

    5.7 3.6 5.7

    section 9top face 2.03 0.0

    bottom face 1.76

    5.4 3.6 5.4section 8

    top face 2.03 3.7bottom face 1.76 3.7

    5.3 3.6 5.3 " 12tor@100c/c "

    5.0 3.6 5.0 = 11.3 cm2 both facesection 7

    top face 2.03 3.2

    bottom face 1.76 3.2

    total r/f req as per

    design

    min r/f as per

    cl_15.4(ii)required r/f

    provided r/f

    cm2cm2 cm2 cm2 cm2

    section 14

    section 21

    section 22

    section 23

    section 24

    section 15

    section 17

    section 18

    section 19

    section 25

    section 26

    top face

    bottom face

    top facebottom face

    top face

    bottom facetop face

    bottom face

    2.03

    1.76

    top facebottom face

    top face

    bottom face

    top face

    bottom facetop facebottom face

    2.03

    1.76

    2.031.762.03

    1.76

    2.03

    1.76

    2.031.76

    top face

    bottom face

    top face

    bottom face

    top facebottom face

    0.0

    0.0

    2.031.76

    2.03

    1.76

    2.03

    1.762.031.76

    0.0

    0.0

    0.00.00.0

    0.02.0

    1.8

    0.00.0

    0.0

    0.0

    0.0

    0.00.00.0

    2.0

    1.8

    2.01.82.0

    1.8

    2.0

    1.8

    2.01.8

    0.0

    0.0

    0.0

    0.0

    0.00.0

    3.6

    3.6

    2.01.8

    2.0

    1.8

    2.0

    1.82.01.8

    3.6

    3.6

    3.63.6

    3.6

    3.6

    7.27.27.2

    7.23.6

    3.6

    3.63.6

    3.6

    3.6

    3.6

    3.63.63.6

    3.6

    3.6

    3.63.6

    3.6

    3.6

    7.27.27.2

    7.2

    3.63.6

    3.6

    3.6

    3.6

    3.63.63.6

    3.6

    3.6

    2.0

    1.8

    2.03

    1.76

    3.6

    3.6

    " 12tor@200c/c "

    = 5.65 cm2 both face

    total reinforcement in bottom slab

    location

    r/f due to transverse

    analysisr/f due to torsion

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " 12tor@100c/c "= 11.3 cm2 both face

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

  • 7/31/2019 Psc Box Shear Design (P 213-228)

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    cm2 cm2 cm2 cm2 cm2 cm2

    2.15 4.4 0.0 6.6 3.2 6.6

    2.15 6.5 0.0 8.7 3.2 8.7

    2.21 1.9 0.0 4.1 3.2 4.1

    2.21 1.9 0.0 4.1 3.2 4.1

    2.17 1.9 0.0 4.1 3.2 4.12.17 1.9 0.0 4.1 3.2 4.1

    2.11 1.9 0.0 4.0 3.2 4.0

    2.11 1.9 0.0 4.0 3.2 4.0

    2.10 1.9 0.0 4.0 3.2 4.0

    2.10 1.9 0.0 4.0 3.2 4.0

    2.11 1.9 0.0 4.0 3.2 4.0

    2.11 1.9 0.0 4.0 3.2 4.0

    2.71 1.4 0.0 4.1 2.3 4.1

    2.88 1.4 0.0 4.3 2.3 4.3

    2.88 1.4 0.0 4.3 2.3 4.3

    3.03 1.4 0.0 4.4 2.3 4.43.03 4.8 0.0 7.8 2.3 7.8

    3.03 2.8 0.0 5.8 2.3 5.8

    " ---------- do ---------- "

    " 12tor@200c/c " = 5.65 cm2

    " ---------- do ---------- "

    " ---------- do ---------- "" ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    section 26 outer face

    r/f due to

    trans

    analysis

    r/f due to

    shear

    section 12 outer face

    section 24section 25

    outer faceouter face

    section 13 outer face

    section 22

    section 23

    outer face

    outer face

    section 19

    section 21

    outer face

    outer face

    section 9 outer face

    section 17

    section 18

    outer face

    outer face

    section 10 outer face

    section 11 outer face

    required

    r/f

    r/f due to

    torsion

    total r/f

    req as per

    design

    " 12tor@200c/c + 12tor@200c/c " = 11.3 cm2section 7

    section 8 outer face

    outer face

    " 12tor@200c/c + 12tor@200c/c " = 11.3 cm2

    section 14

    section 15

    outer face

    outer face

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    total reinforcement in web : OUTER FACE

    location provided r/f

    min r/f as

    per

    cl_15.2

    " ---------- do ---------- "

    " ---------- do ---------- "" 12tor@200c/c + 12tor@200c/c " = 11.3 cm2

    " 12tor@200c/c + 12tor@200c/c " = 11.3 cm2

  • 7/31/2019 Psc Box Shear Design (P 213-228)

    16/16

    cm2 cm2 cm2 cm2 cm2 cm2

    1.94 4.4 0.0 6.4 3.2 6.4

    1.94 6.5 0.0 8.5 3.2 8.5

    1.75 1.9 0.0 3.7 3.2 3.7

    1.75 1.9 0.0 3.7 3.2 3.7

    1.61 1.9 0.0 3.5 3.2 3.51.61 1.9 0.0 3.5 3.2 3.5

    1.50 1.9 0.0 3.4 3.2 3.4

    1.56 1.9 0.0 3.5 3.2 3.5

    1.56 1.9 0.0 3.5 3.2 3.5

    1.56 1.9 0.0 3.5 3.2 3.5

    1.56 1.9 0.0 3.5 3.2 3.5

    1.50 1.9 0.0 3.4 3.2 3.4

    1.12 1.4 0.0 2.5 2.3 2.5

    1.27 1.4 0.0 2.7 2.3 2.7

    1.27 1.4 0.0 2.7 2.3 2.7

    1.47 1.4 0.0 2.9 2.3 2.91.47 4.8 0.0 6.3 2.3 6.3

    1.47 2.8 0.0 4.3 2.3 4.3

    section 25

    section 26

    inner face

    inner face

    inner face

    inner face

    inner face

    inner face

    inner face

    section 21

    section 22

    section 23

    section 24 inner face

    section 13 inner face " ---------- do ---------- "

    inner face

    section 14

    section 15

    section 17

    section 18

    section 19

    section 10 inner face " ---------- do ---------- "

    inner face

    section 11 inner face " ---------- do ---------- "

    inner face

    section 12 inner face

    section 9 inner face " 12tor@200c/c " = 5.65 cm2

    section 8 inner face " 12tor@200c/c + 12tor@200c/c " = 11.3 cm2

    section 7 inner face " 12tor@200c/c + 12tor@200c/c " = 11.3 cm2

    total reinforcement in web : INNER FACE

    location

    r/f due to

    trans

    analysis

    r/f due to

    shear

    r/f due to

    torsion

    total r/f

    req as per

    design

    min r/f as

    per

    cl_15.2

    required

    r/f provided r/f

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "" 12tor@200c/c + 12tor@200c/c " = 11.3 cm2

    " 12tor@200c/c + 12tor@200c/c " = 11.3 cm2

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "

    " ---------- do ---------- "