Design of 7m Pier 12 May 12

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    8) 1

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    8) 2

    (a

    (b

    (c

    (a

    (b

    (c

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    7 m

    Hoist Placement 1650.50

    Pier top 1646.00

    MWL 1645.84FRL 1643.50

    Kink 1639.00

    1636.10

    Crest Level 1633.50

    density 2.4

    A 7.89 m

    B 5 m

    L1 15.625 m

    W1 577.27 t 3.5 m

    W2 2793 t 13.3 m

    W3 1570.8 t 5.5 m

    W4-1 422.142 t 4.37 m

    W4-2 403.788 t 4.37 m

    W5 120.12 t 2.75 m

    W6 120.07 t 3.5 m

    Total weight 6007.19t

    W per m of run 194.313095t/m

    Weight of spillway bridge on the pier:

    7m Pier

    Lenghts

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    This load is transferred to the pier through the bearings of the bridge and this is assumed to be 20 T/m run

    Assume 15 t/m

    S.W per m run 209.31 t/m

    10 % increment 230.24t/m

    Total Uplift-I 552.3 tTotal Uplift-II 546.875 t

    Total uplift 1099.175 t

    Uplift-I per m run 70 t/m

    Uplift-II per m run 35 t/m

    PH 500t

    MH 1666.67t-m

    PT 50.66t

    Earthquake forces

    Description w Seismic coffe. Inertia L.A

    W1 577.27 0.12 69.27 6.25

    W2 2793.00 0.12 335.16 6.25

    W3 1570.80 0.12 188.496 8.5

    W4-1 422.14 0.12 50.66 9.33

    W4-2 403.79 0.12 48.45 5.50

    W5 120.12 0.12 14.41 2.60

    W6 120.07 0.12 14.41 2.60720.86

    Inertia force per m length 23.32t/m

    Moment per m length 159.93t-m/m

    Description w Vertical coffe. Inertia

    W1 577.27 0.09 51.95

    W2 2793.00 0.09 251.37

    W3 1570.80 0.09 141.37

    W4-1 422.14 0.09 37.99

    W4-2 403.79 0.09 36.34

    W5 120.12 0.09 10.81W6 120.07 0.09 10.81

    540.65

    Inertia force per m 17.49

    Hydrodynamic forces

    y 10

    h 47.5

    Total

    Total

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    Cm 0.735

    Cs 0.364

    p 2.075

    VH - I 15.06

    MH - I 62.04

    VH - II 5.27

    MH - II 62.04

    Without Earthquake

    Bending Moment 129.299 t-m

    20 % increment, M1 284.458 t-m

    Vertical weight, P1 160.24

    Horizontal weight, H1 38.790

    M2 136.681

    Mt 37.120Vertical weight, P2 195.24

    Horizontal weight, H2 18.34

    With Earthqu ake

    Moment without earthquake 284.458

    Moment due to horizontal inertia 159.93

    Moment due to hydrodynamic forces 62.04

    Moment due to vertical inertia 0

    Total 506.425

    Vertical forces 160.24vertical inertia forces 17.49

    Total, 142.76

    Horizontal forces 38.790

    Horizontal inertia forces 23.32

    Horizontal hydrodynamic forces 15.06

    Total, 77.171

    Moment without earthquake 136.681

    Moment due to horizontal inertia 159.93

    Moment due to hydrodynamic forces 62.04

    Moment due to vertical inertia 0Total 358.647 F1/b

    P1/b

    Vertical forces 195.24 6M/b2

    vertical inertia forces 17.49

    Total, 177.76

    Horizontal forces 18.34

    Zone-I

    Zone-II

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    Horizontal inertia forces 23.32

    Horizontal hydrodynamic forces 5.27

    Total, 46.93

    Zone-III

    Area 113.567m2

    equivalent width 3.674 m

    Effective cover 0.15 m

    d 3.674 m

    d1 3.524 m

    d1/d 0.959 4962.94231M1/bd 0.0536 6.170912507

    P/bd 0.0555

    0.002702 chart 5.2 0.002415

    Asc=Ast 49.629cm IN ZONE-I 44.35790406

    Considering Earthquake in Zone-II

    M1/bd 0.0380

    P/bd 0.0691

    0.0007Asc=Ast 12.8573635cm IN ZONE-II

    Multiplication factors

    F1/b -11.0244257

    P1/b 20.3937465

    6M/b2

    -62.0111797

    Table HORIZONTAL ANCHORAGE

    Coeff x Coeff

    50 % of the reinforcement provided in the zone-I or 25 dia @ 300 mm,

    whichever is more. It should not be less than 25 dia @ 300 mm in any

    case

    X/b

    Y/b

    0.25Contribution

    of x due to

    0.5

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    Shear force 0.6994 -7.710483 2.925

    Direct Load 1 20.393747 1

    Moment 0.5 -31.00559 1

    Total -18.32233

    Shear force 0.385 -4.244404 0.602

    Direct Load 0.3929 8.012703 0.347

    Moment 0.004 -0.248045 0.046Total 3.5202544

    Shear force 0.1474 -1.625 0.2577

    Direct Load 0.1862 3.7973156 0.2251

    Moment -0.0544 3.3734082 -0.0326

    Total 5.545723

    Shear force 0.0598 -0.659261 0.1215

    Direct Load 0.0978 1.9945084 0.1424

    Moment -0.0408 2.5300561 -0.0398

    Total 3.8653039

    Shear force 0.0269 -0.296557 0.0615

    Direct Load 0.0551 1.1236954 0.0908

    Moment -0.0262 1.6246929 -0.0321Total 2.451831

    Shear force 0.0134 -0.147727 0.0332

    Direct Load 0.0332 0.6770724 0.0595

    Moment -0.0168 1.0417878 -0.0236

    Total 1.5711329

    Shear force 0.0072 -0.079376 0.0191

    Direct Load 0.212 4.3234743 0.0403

    Moment -0.0111 0.6883241 -0.0171

    Total 4.9324225

    16.6265 Extended upto

    576.3965

    0.03605699

    Total Tensile force (Shaded area) 364.043297 t/m

    80 % of permissible tensile stress in steel 1.84t/cm

    Area of steel 197.849618cm

    dia of bar 32 mm

    Area of one bar 804.248mm2

    No of bars 24.6005818

    in two tiers

    Table

    Coeff y Coeff

    Shear force 0.00

    1.5

    VERTICAL ANCHORAGE

    Vertical anchorage

    X/b

    Y/b

    Contribution

    of y due to

    0.25 0.50

    1

    1.25

    0

    0.25

    0.5

    0.75

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    Direct Load 1.00

    Moment 1.00

    Total

    Shear force 0.30

    Direct Load 0.50

    Moment 0.35

    TotalShear force 0.25

    Direct Load 0.48

    Moment 0.23

    Total

    Shear force 0.20

    Direct Load 0.45

    Moment 0.14

    Total

    Shear force 0.16

    Direct Load 0.41

    Moment 0.09

    TotalShear force 0.12

    Direct Load 0.37

    Moment 0.06

    Total

    Shear force 0.10

    Direct Load 0.33

    Moment 0.04

    Total

    Shear force 0.08

    Direct Load 0.30

    Moment 0.03

    TotalShear force 0.06

    Direct Load 0.27

    Moment 0.02

    Total

    Total Tensile force ( Shaded Area ) t/m Zone-I

    80 % of permissible tensile stress in steel 1.84t/cm 39.69855 t/m

    Area of steel cm 21.575299cm

    dia of bar 490.873852 5 2454.3693 25 @ 200C/C

    Area of one bar

    No of bars

    1.5

    1.75

    2

    0

    0.25

    0.5

    0.75

    1

    1.25

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    Angle 11.4543

    Zone-I 20.29

    Zone-II 10.625

    Alpha-H 0.12

    Alpha-V 0.09

    should check

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    M

    432.95

    2094.75

    1602.22

    472.80

    266.50

    37.48

    37.464944.16

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    -6.70483 2.925 -19.61 1.0246 -6.87 M1/bd2

    0.037967

    25.3937 1 25.39 0 0.00 P/bd 0.069126

    -51.2353 1 -51.24 0 0.00 0.0007

    -45.45 -6.87 Asc=Ast 12.85736

    0.602 -4.04 50% of zone-I should

    0.347 8.81

    0.046 -2.36

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    2.42

    25% of zone I

    horizontal anchorage 25@300 in zone-II 50% of Zone-II

    25@300

    Area of on 804.248162.0506 Provided 160mm

    (chart 5.3)

    in 2 rows

    490.87 10 4908.74 49.09cm2

    Zone-I

    490.87 5 2454.37 24.54cm2

    Zone-II

    490.87 4 1963.50 19.63cm Zone-III

    17.58741

    -71.4513 -0.43075

    1.319245

    x Coeff x

    0.75

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    -32.2464 1.0246 -11.2956

    20.3937 0 0 1.1076

    -62.0112 0 0 126.376 84.16431

    -73.8639 -11.2956 0.142432

    -6.6367 0.6695 -7.38085

    7.07663 0.2851 5.814257

    -2.85251 0.0929 -5.76084-2.41259 -7.32743

    -2.84099 0.3488 -3.84532 -73.8639

    4.59063 0.2489 5.076004

    2.02156 0.0245 -1.51927

    3.7712 -0.28859

    -1.33947 0.1873 -2.06487

    2.90407 0.1806 3.683111

    2.46804 -0.01 0.620112 1.75

    4.03265 2.238347

    -0.678 0.1019 -1.12339

    1.85175 0.1269 2.587966

    1.99056 -0.0194 1.2030173.16431 2.667594 -20

    -0.36601 0.0612 -0.67469

    1.21343 0.0892 1.819122 -2.41259cm2

    1.46346 -0.0193 1.196816

    2.31088 2.341243

    -0.21057 0.0373 -0.41121

    0.82187 0.0636 1.297042

    1.06039 -0.0164 1.016983

    1.67169 1.902815

    3.771202

    3006 mm

    61.9007 t/m

    1.84

    33.6417 cm2

    3364.167mm

    Noof bars 4.182998

    490.87 7 3436.117 34.36 cm2

    spacing 142.86 mm

    y Coeff y

    0.00 0 0.00 0.00 0

    0.75

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    20.39 0 0.00 1.00 25.39375

    -62.01 0 0.00 1.00 -51.2353

    -41.62 0.00 -25.8416

    -3.30 0.147 -1.62 0.30 -2.00877

    10.13 0.089 1.82 0.50 12.61815

    -21.52 0.06 -3.72 0.35 -17.7838

    -14.69 -3.53 -7.17439-2.81 0.21 -2.32

    9.78 0.214 4.36

    -13.96 0.109 -6.76

    -6.98 -4.71 Y/b=0.5 is sufficient but minimum 5m depth of anchorage should be

    -2.25 0.202 -2.23

    9.14 0.271 5.53

    -8.83 0.102 -6.33

    -1.94 -3.03

    -1.76 0.176 -1.94 -41.62

    8.35 0.288 5.87

    -5.63 0.081 -5.02

    0.96 -1.09-1.37 0.147 -1.62

    7.55 0.285 5.81

    -3.69 0.06 -3.72 1.75

    2.49 0.47

    -1.08 0.122 -1.34

    6.81 0.273 5.57

    -2.50 0.045 -2.79

    3.24 1.43

    -0.86 0.01 -0.11

    6.17 0.258 5.26

    -1.74 0.033 -2.05

    3.56 3.10-0.70 0.084 -0.93

    5.60 0.242 4.94

    -1.26 0.025 -1.55

    3.64 2.46

    Zone-II

    10.94 t/m

    5.94565cm

    -14.69

    20t/m2

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    cm2

    e provided 24.81471 cm2

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    12.40736mm2

    12.40736mm2

    490.8739 4 1963.495 19.63495mm2

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    t

    1.319245

    -0.43075

    1.75

    20t/m2

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    provided.

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    Coeff Txy Coeff

    Shear force

    Direct Load

    Moment 0 0

    Total

    Shear force

    Direct Load

    Moment 0 -0.73

    Total

    Shear force

    Direct Load

    Moment 0 -0.94

    Total

    Shear force

    Direct Load

    Moment 0 -0.72

    Total

    Shear force

    Direct Load

    Moment 0 -0.5

    Total

    Shear force

    Direct LoadMoment 0 -0.35

    Total

    Shear force

    Direct Load

    Moment 0 -0.27

    Total

    Shear force

    Direct Load

    Moment 0 -0.16

    Total

    Shear force

    Direct LoadMoment 0 -0.12

    Total

    1.75

    2

    0

    1.25

    1.5

    0

    0.25

    0.5

    0.75

    1

    X/b

    Y/bContribution of

    x due to

    0.

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    Unit Moment

    Txy Coeff Txy Coeff Txy Coeff Txy Coeff Txy

    0 0 0 0

    -0.91 -0.43 0.5 0.28

    -0.97 -0.42 0.37 0.6

    -0.9 -0.45 0.03 0.48

    -0.7 -0.53 -0.13 0.22

    -0.55 -0.34 -0.12 0.03

    -0.38 -0.33 -0.19 -0.1

    -0.26 -0.27 -0.21 -0.14

    -0.2 -0.22 -0.19 -0.17

    1 1.250.755 0.5

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    Coeff Txy Coeff Txy Coeff Txy

    0 0 0

    0.27 0.22 0.13

    0.38 0.26 0.21

    0.34 0.27 0.22

    0.24 0.2 0.19

    0.09 0.13 0.11

    0 0.03 0.09

    -0.09 0 0.04

    -0.09 -0.04 0

    1.5 1.75 2