Design of Abutment-ROB (1)

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    Project: Br.No: ROB Ch: Chainpal

    Width of carriage way 7.5 m Bed block & dirt wall Fly wing

    Road width including shoulders 11.23 m Top width of dirt wall 0.4 m

    Skew angle 35.40194444 Deg Bottom width of dirt wall 0.4 m

    Levels Thickness of bed block 0.6 mTop of formation level 80.14 mGround level 71.92 m Abutment dataTop of foundation level 71.35 m Design material RCC Pedestals

    Thickness of wall at bed block 1.325 m Shorter dimemsionSuper structure Earth side batter 2 Longer dimensionType of super structure Conc.girder Height from bottom of bed block to batter 0 m ThicknessHeight of super structure 1.75 m Span side batter 25Clear span 32 m Height from bottom of bed block to batter 0 m Seismic ZoneEffective span 33.794 m Grade of concrete M30Over all span including long. cantilever 34.294 m Percentage of steel Fe415 0.8 %Expansion and other clearence 0.025 m Foundation data Safe in stabilityBearing Type of foundation Single rectangular Factor of safety against OTType of bearing Elastomeric be Width Height Factor of safety against

    No of bearings on each abutment 4 nos Length of heel slab 0.75 3.25 m Safe in foundation pres

    Thickness of bearing 80 mm Length of toe slab 0.75 1.75 m Max. foundation pressurShorter dimension of bearing in plan 450 mm Thickness of footing 0.75 1.25 m Min. foundation pressur

    Longer dimension of bearing in plan 650 mm m Safe in stressesLoading Depth of foundation is safe Bending comp. Stress iClass of loading 70R t Dia of main reinforcement 32 Comp. stress in steel 4Dead load from super structure 450 t Dia of distribution reinforcement 12 Tensile stress in steel 621Programmed at Centralised Design Section of S E Railway, Chandrasekharpur, Bhubaneswar. By: P C Dash, J.E.(works) and K.P.Dash, J.E.(works)

    Chainpal

    Elastomeric bearing

    70R

    Conc.girde

    RCC

    Single rectangulSingle rectangul

    M30To Standard Data >>

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    Chainage ChainpalDate & time

    Geometry of abutmentLength of abutment 13.777 mTop width of abutment 1.325 mEarth side batter 0Height from bottom of bed block to batter 0 mSpan side batter 0Height from bottom of bed block to batter 0 mTotal height of abutment 80.14 - 71.35 8.79 mHeight of super structure 1.75 mNo of pedestals 4Shorter dimension 0.75 mLonger side of pedestal 0.95 mHeight of pedestal 0.15 mThickness of bearing 0.08 mHeight of dirt wall 1.75 + 0.08 + 0.15 1.98 mTop width of dirt wall 0.4 mBottom width of dirt wall 0.4 mWidth of bed block (( 34.294-32 )/2 + 0.025) * 0.815 + 0.4 1.355 mThickness of bed block 0.6 mHeight of abutment up to bottom of bed block m

    8.79 - 1.98 - 0.6 6.21 mHeight of triangular wedge on earth side

    6.21 - 6.21 0 mBottom width of earth side wedge

    0 / 0 0 mHeight of triangular wedge on span side

    6.21 - 6.21 0 mBottom width of span side wedge

    0 / 0 0 mBottom width of abutment

    1.325 + 0 + 0 1.325 mCross section at cut off level

    13.777 * 1.325 18.255 sqmSection modulus at cut off about long. Axis of abutment

    13.777 * 1.325 2 / 6 4.031 cumSection modulus at cut off about trans. Axis of abutment

    1.626 * 11.23 2 / 6 34.167 cumLength of fly wing = 0 mHeight of fly wing at support = 0 mHeight of fly wing at free end = 0 mThicknessof fly wing = 0 mUnit weight of abutment material 2.5 t/sqm

    Forces and moments calculated at centroid of area at top of foundation1 Self weight

    Dirt wall13.777 * 1.98 * ( 0.4 + 0.4 ) / 2 * 2.5 27.278 t

    Long. Eccentrity0 + 1.355 - 0.2 - 1.325 / 2 0.493 mPedestal

    4 * 0.75 * 0.95 * 0.15 * 2.5 1.06875 tLong. Eccentrity 0.2345 m

    Bed block13.777 * 1.355 * 0.6 * 2.5 28.002 t

    Long. Eccentrity0 + 1.355 / 2 - 1.325 / 2 0.015 m

    10/5/2013 4:37

    177781183.xls.ms_office 10/5/20134:38 AM

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    Z 0.16Sa/ 2.5

    a h 0.12a v 0.06l 3.239700296

    3.65222278

    Lever arm 7.915 mVertical seismic force 27 tLever arm 0.2345 m

    Lever arm 7.04 m3 Seismic effect of dead load from sub-structure

    Dirt wall

    Vertical force 1.63668 tLever arm 0.493 m

    Bed blockHorizontal force 3.36024 t

    Lever arm 0.015 m Abutment wall

    Horizontal force 34.00824 t

    D namic incrememnt of earth ressure due to scemic force0.2991506 0.3036696 0.3037

    Intensit at the bottom of dirt wall0.3037 * 1.9 * 1.98 1.143 t/s m

    Total active earth ressure on dirt wall corres ondin to trian ular ressure dia ram0.5 * 1.98 * 1.143 * 13.777 15.59 t

    Lever arm 6.21 + 0.6 + 0.5 * 1.98 7.8 mVertical com onent 0.549 tLever arm 1.325 / 2 - 0 - 5 * 0 0.6625 m

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    Distance between two successive 70R trains 90 mDistance between two successive Class A or 20 m70R trackedOver all width of track 2.9 m Class of loWidth of each Track 0.84 m Criticality oLength of track 4.57 m No of traffiTotal load of one track 70 t No of trainTotal load of track1 70 t First train lTotal load of track2 0 t Second traiCG of total load from head of trac 2.285Maximum support reaction 65.26691 t MaximumMinimum edge distanceLess than 5.5m width of carriage 0.6 mMore than including 5.5m 1.2 mDistance between two vehicles 2.4 m

    70R wheeledOver all widht of wheeled vehicle 2.79 mWidth of wheel 0.86 mContact length along span 0.61 m

    Load Distance8 0

    12 3.9612 1.5217 2.1317 1.3717 3.0517 1.37

    100 13.417 0 8 017 1.37 12 3.9617 4.42 12 5.4817 5.79 17 7.6112 7.92 17 8.9812 9.44 17 12.03

    8 13.4 17 13.40 103.4 0 103.40 104.77 0 107.360 107.82 0 108.880 109.19 0 111.010 111.32 0 112.380 112.84 0 115.430 116.8 0 116.8

    Load from 100 t 100Load from 0 t 0CG of load 5.1238 m 8.2762Max supp 84.83814 t 75.50985

    Minimum edge distanceLess than 5.5m width of carriage 0.6 mMore than including 5.5m 1.2 mContact length along span 0.61 mDistance between two vehicles 2.4 m

    70R BogieOver all width of wheeled vehicle 2.79 m

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    Width of wheel 0.86 m

    Load20 020 1.2

    Maximum support reaction39.28981 t

    Minimum edge distanceLess than 5.5m width of carriage 0.6 mMore than including 5.5m 1.2 mContact length along span 0.61 mDistance between two vehicles 2.4 m

    Class AOver all width of vehicle 1.8 mWidth of wheel 0.5 m

    Load Distance2.7 02.7 1

    11.4 3.2

    11.4 1.26.8 4.36.8 36.8 36.8 3

    55.4 18.7Load1 6.8 0 2.7 0Load2 6.8 3 2.7 1Load3 6.8 6 11.4 4.2 11.4 0Load4 6.8 9 11.4 5.4 11.4 1.2Load5 11.4 13.3 6.8 9.7 6.8 5.5Load6 11.4 14.5 6.8 12.7 6.8 8.5Load7 2.7 17.7 6.8 15.7 6.8 11.5Load8 2.7 18.7 6.8 18.7 6.8 14.5Load9 0 38.7 0 38.7 0 34.5Load10 0 41.7 0 39.7 0 35.5Load11 0 44.7 0 42.9 0 38.7Load12 0 47.7 0 44.1 0 39.9Load13 0 52 0 48.4 0 44.2Load14 0 53.2 0 51.4 0 47.2Load15 0 56.4 0 54.4 0 50.2Load16 0 57.4 0 57.4 0 53.2First train l 55.4 55.4 50Second tra 0 0 0CG of load 9.703971 8.996029 5.7136Max support reaction 39.49185 40.65241 41.54643Edge distance for all widths 0.15 m

    Contact length along span 0.25 mDistance between two vehicles--For less than 5.5m width 0.4 m-For 7.5m and above 1.2 m

    Class BOver all width of vehicle 1.8 mWidth of wheel 0.38 m

    Load Distance

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    1.6 01.6 16.8 3.26.8 1.24.1 4.34.1 34.1 34.1 3

    33.2 18.7Load1 4.1 0 1.6 0Load2 4.1 3 1.6 1Load3 4.1 6 6.8 4.2 6.8 0Load4 4.1 9 6.8 5.4 6.8 1.2Load5 6.8 13.3 4.1 9.7 4.1 5.5Load6 6.8 14.5 4.1 12.7 4.1 8.5Load7 1.6 17.7 4.1 15.7 4.1 11.5Load8 1.6 18.7 4.1 18.7 4.1 14.5Load9 0 38.7 0 38.7 0 34.5Load10 0 41.7 0 39.7 0 35.5Load11 0 44.7 0 42.9 0 38.7

    Load12 0 47.7 0 44.1 0 39.9Load13 0 52 0 48.4 0 44.2Load14 0 53.2 0 51.4 0 47.2Load15 0 56.4 0 54.4 0 50.2Load16 0 57.4 0 57.4 0 53.2First train l 33.2 33.2 30Second tra 0 0 0CG of load 9.671084 9.028916 5.738667Max support reaction 23.69891 24.32979 24.9056Load12Edge distance for all widths 0.15 mContact length along span 0.2 mDistance between two vehicles--For less than 5.5m width 0.4 m-For 7.5m and above 1.2 m

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    ding 70Rf tracked, wheeled or bogie Wheeled to be examined from all cases

    lanes 11

    ad 100in load 0

    uport reaction 84.838 t

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    IS 456Table-17: Permissible shear stress in concrete(N/sqmm)100Ast/bd

    M15 M20 M25 M30 M35 m400.25 0.22 0.22 0.23 0.23 0.23 0.23

    0.5 0.29 0.3 0.31 0.31 0.31 0.320.75 0.34 0.35 0.36 0.37 0.37 0.38

    1 0.37 0.39 0.4 0.41 0.42 0.421.25 0.4 0.42 0.44 0.45 0.45 0.46

    1.5 0.42 0.45 0.46 0.48 0.49 0.491.75 0.44 0.47 0.49 0.5 0.52 0.52

    2 0.44 0.49 0.51 0.56 0.54 0.552.25 0.44 0.51 0.53 0.55 0.56 0.57

    2.5 0.44 0.51 0.55 0.57 0.58 0.62.75 0.44 0.21 0.56 0.58 0.6 0.62

    3 0.44 0.51 0.57 0.6 0.62 0.63Table-18 :Maximum shear stress(N/sqmm)

    Grade M15 M20 M25 M30 M35 m40Permissible shear 1.6 1.8 1.9 2.2 2.3 2.5Design bond stres 1 1.2 1.4 1.5 1.7 1.9

    SBC 0.04*Fc

    IRC 21, Table 6 :Basic permissible stresses in concreteProperties/Permissib M15 M20 M25 M30 M35 m40Moduluss of elasticit 20 25 28 31 33 36Permissible direct co 3.8 5 6.2 7.5 8.5 8.5Permissible bending 5 6.7 9.3 10 11.5 11.5Permissible tensile s -0.14 -0.17 -0.2 -0.23 -0.25 -0.257 day modulus of rup 2.1 2.4 2.7 3 3.2 3.4Shear stress t co (MPa 0.28 0.34 0.4 0.45 0.5 0.5IRC 21, Table 7Fe415 Tension, shear or flexure 200 MPa

    Direct compression 170 MPa

    Grade of concrete

    Shear

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    Table of wind pressure and wind velocities Zone factoHeight Velocity Pressure Zone

    80 40 II2 91 52 III

    4 100 63 IV6 107 73 V8 113 82

    10 118 91 Importanc15 128 107 Important20 136 119 Other Brid25 142 13030 147 14140 155 15750 162 17160 168 18370 173 193

    80 177 20290 180 210100 183 217110 186 224

    Conversion factor from deg. to radian 0.01745

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    r Zone factor

    0.10.16

    0.240.36

    factor 1.5

    1