Waterway Design

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    WATERWAY DESIGN for RLYBRIDGES and WEIR for RAT

    A CASE STUDYA CASE STUDYCHENNAICHENNAIGUDUR SECTIONGUDUR SECTION

    S.RLYS.RLY

    Presented By

    Sri D . Stanley

    ADEN / SW /DHONE SCR

    Sri S . Shanmughom

    AXEN / MC / TVC SR

    Guided By

    Shri G.Bansal,Professor

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    INTRODUCTION

    Design of water way for Rly Bridges have been carried out

    in the following circumstances.

    1. Construction of New Lines

    2. Doubling and Gauge Conversion

    3. Rebuilding / Rehabilitation of Bridges

    4. HFL raises above DL

    5. Water over flowing the track

    6. During Floods and breaches of track and Bridges

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    Breach in embankment

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    BR.NO.245

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    DESIGN OF WATERWAY OF RLY BRIDGES

    Criteria for design - based on catchment areafor catchment area < 25 Sq.Km

    Using Improved Rational Formula

    by IMD,RDSO and CWC( RBF-16)

    for catchment area > 25 Sq.Km

    Using Synthetic Unit Hydrograph Methodby IMD,RDSO and CWC ( Sub-zonal Report )

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    CASE STUDY in S.RLY

    Flash Flood on 15/16-Oct-2001. ( Rain fall =245mm )

    MAS GDR Section @ Km.114 to Km.118

    Touched the bottom of Girder @Br.239(6x12.2mGB )

    Water crossed DL @ Br.No.240 (7x12.2m GB

    Water Level above BOS @ Br.No.245 ( 2x1.83mRCC Slab-DN Line & 1x4.57PSC Slab UP Line

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    Estmation of Q 50 Discharge forBr.244 and 245

    Lattitude = 130

    58 N , Longitude 790

    54 ESub Zone 4(b)

    Length,L = 1.5 Km

    Height of Ridge above bed level ,H= 29.50 22.565 = 6.935m

    Time of Concentration TC = (1.53/6.935)0.345

    = 0.78 hours

    R 50 ( 24 hours ) = 320mm

    From graph short duration ratio for TC = 0.3

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    ISOPLUVIAL MAP

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    0.850.780.6825134

    0.860.790.7013530.870.800.7152.52

    0.880.810.722.501

    60 - 18030 - 60< 30ToFrom

    ( in Minutes )( Sq.Km. )

    Time of Concentration

    catchment

    Area

    Sl.No.

    Areal Reduction Factor

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    Run off Coeffecient Constant(K)

    0.498Hilly soil / Barren areas5

    0.456Black cotton / Plain &Barren

    //Submontene/Plateau areas

    4

    0.415Red soil / Clayey /Cultivated Plains / Tall

    crops / wooded areas

    3

    0.332Alluivium / Silty / Coastalareas

    2

    0.249Sandy Soil/Arid Areas1

    Value of K Description of CatchmentS.No

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    Contd

    Intensity of Rain fall , I= 0.30 * 320 / 0.78 = 123mm/hour

    Catchment area ( A ) = 1.22 Sq.Km

    ,Areial Reduction Factor,F = 0.81

    Run off Coeff,C = 0.415 *( 32* 0.81 )0.20 = 0.795

    Using Improved Rational FormulaQ 50 = 0.278 * C*I*A = 0.278 * 0.795*123*1.22

    = 33.18Cumecs.

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    Capacity of Br.No.245( Exg 2 x 1.83m RCC Slab DN

    and 1x 4.57 PSC slab UP )

    B.O.S = 24.705 , Bed Level = 22.565

    HFL = 24.800,Std VC = 0.600 + 3.180 * 0.60/269= 0.610m

    Max Allowable HFL = 24.705 0.610= 24.095Max depth pf flow , DF = 1.53m

    Wetted area , W A = ( 2*1.83 + 0.90 ) *1.53 =

    6.98m2

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    Wetted perimeter , WP = 4.56 + 2 * 1.53 = 7.62m

    Hydraulic Mean radius , R = 6.98 / 7.62 = 0.92mSlope , S = 1 in 220

    Velocity, V = (1 / 0.03) * ( 0.92) 0.67 * ( 1/220)0.50

    = 2.12m/secDischarge, Q = 0.9 * 2 * 1.83 * 1.53 * 2.12

    = 10.68 cumecs ( DN line Br. Capacity

    I.e. < 33.18 cumecs ( Q 50 )

    HFL Discharge of Br.245 ( UP line )

    Similarly HFL Discharge = 25.94 cumecs < 250

    VC available ( UP ) = 25.435 24.800 = 0.635

    > 0.620m

    VC (DN ) = 24.705 24.800 = -0.095 m

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    Proposed 2 x 4.57m PSC slabBr.245Probable HFL = 24.165DF = 24.165 22.565 = 1.600m

    Q = 0.90* 2 * 4.57 * 1.56 * 2.57 = 33.8 cumecs > Q 50VC available ( UP ) = 25.435 24.095 = 1.340 > 0.620m

    VC (DN ) = 25.045 24.165 = 0.880 m > 0.620m

    Free Board Available = 26.225 0.675 24.165 =1.385

    I.e > 1.0m Hence OK

    Hence It is proposed to rebuild Br.245 as 2 x 4.57 PSCslab ( UP & DN )

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    Details of breaches of Tanks

    16Damaragunta Tank ( RAT )11

    140Kotambedu Tank10

    25Chilamanuru Tank9

    70Sangavaram Tank8

    66Bhatlakanupuru Tank7

    12Vengamamba puram Tank5

    120Sagatooru Tank4

    638Machavaram Tank3

    60Mummayapalem Tank2

    296Nemallapudi Tank ( RAT )1

    Length of thebreach

    Name of the TankSl.No.

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    Estmation of Q 50 Discharge forBr.239 and 240

    Latitude = 130 57 N , Longitude 790 47 E

    Sub Zone 4(b)

    Length,L = 32.47 Km,Lc=17.05 kmR 50 ( 24 hours ) = 340 mm

    Catchment Area =250 SQ KM

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    Computation of Equivalent slope

    27.087180.58

    118.790.1513732.75

    1288.56

    207.16103.5

    8

    61.7928032.554

    591.2963.5841.799.36030.553463.0321.7921.7921.254021.252

    000018.2101

    Lix(Di-

    1+Di

    Di-

    1+Di

    Ht

    Abov

    Datm

    (Di)

    Length

    (Li)

    Redcd

    levl

    Dist

    Fm Br

    Sl No

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    Tp=0.376(L*Lc/SQRT(S))0.43

    S=1288.567/32.7^2=1.2 m/km : Tp=5.62 hrs=5.5 hrs

    qp = 1.215/(tp)0.691 = 0.374cumcs / sq.km

    W 50 = 2.211 / ( qp )1.07 = 6.33 hours

    W 75 = 1.312 / ( qp ) 1.003 = 3.518 hours

    WR 50 = 0.808 / ( qp )1.053 = 2.276 hours

    WR 75 = 0.542 / ( qp ) 0.965 = 1.40 hours

    TB = 7.621 * ( tp )0.623 = 22.04 hours

    QP = qp * A = 0.374 * 250 = 93.50 cumecs

    TM = tp + tr / 2 = 6 hours

    Determination of Synthetic Unit

    graph Parameters

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    Unit Hydrograph

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    l Estimation of Base FlowQb = 0.536 / ( A ) 0.523 = 0.03 cumecs / sq.km

    Total base flow = 0.03 * 250 = 7.50 cumecs

    Estimation of design storm duration :

    Design storm duration , TD = 1.1tp=1.1*5.5

    = 6 hoursEstimation of point rain fall & aerial rain fall

    6 hour point rain fall coeff = 0.6950 year 6 h point rain fall = 0.69 * 340

    Ariel fraction factor = 0.82

    50 year 6hour aerial rain fall = 0.69 * 340 * 0.82= 192 mm

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    Time distribution of Aerial Rain fall and Estimation of

    Effective Rain fall units

    0.00

    0.410.40

    1.55

    3.09

    9.62

    1 houreffective

    rain fall( in cm )

    0.38

    1.161.15

    2.30

    3.84

    10.37

    1 hour rainfall incriment

    ( in cm )

    0.75

    0.750.75

    0.75

    0.75

    0.75

    Designloss rate(

    in cm /hour )

    19.201.006

    18.820.98517.660.924

    16.510.863

    14.210.742

    10.370.541

    StormRain

    fall

    DistCoeff

    Duration (

    inhour)

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    Estimation of 50 yr Flood Peak

    56.00

    70.00

    84.00

    93.50

    76.00

    UGordinates(

    cumecs )

    1327.93Total22.400.409

    28.700.418

    259.563.097

    899.479.626

    117.781.555

    Direct Runoff ( cumecs

    )

    1 hr effectiverain fall ( in

    cm )

    Time( inhours )

    Q50 = 1327.93 + 7.50 = 1335 cumecs

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    HFL Discharge of Br.No.239

    ( 6 x 12.2m ) GB & Br.No.240( 7 x 12.20mGB )HFL = 25.225 , BL = 18.900

    DF = 25.225 18.9 = 6.325

    WA =( 6 * 1.2.20 + 5 *1.60 ) * 6.325 = 513.2sq.m

    WP = 6 * 12.19 + 5 * 1.60 + 2 * 6.325 = 93.79 m

    R = 513.2/93.79 = 5.47 m

    V = ( 1/ 0.03 ) * (5.47 ) 0.67 * ( 1 / 975 ) 0.50 = 3.32m/sec

    HFL , Q = 0.9 * 6 * 12.2 * 6.325 * 3.32 = 1380 cumecsVC available ( DN ) = 25.475 25.225 = 0.250m < 1.50m ( Std VC )

    Similarly HFL discharge of Br.No.240 ( exg 7 x12.20m GB ) = 1346.67cumecsTotal HFL = 1380 + 1346.67 = 2726 . 67 >> 1335 cumecsVC available ( DN ) = 25.860 25.575 = 0.285m

    < 1.50m ( Std VC )

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    Capacity of Br.No.239

    ( 6 x 12.2m ) GB & Br.No.240 ( 7 x 12.20m GB )Probable,HFL = 23.270 , BL = 18.900Depth of Flow , DF = 23.270 18.9 = 4.370m

    WA =( 6 * 1.2.20 + 5 *1.60 ) * 4.370 = 354.58sq.mWP = 6 * 12.19 + 5 * 1.60 + 2 * 4.370 = 89.88 mR = 354.58 /89.88 = 3.945 mV = ( 1/ 0.03 ) * (3.945 ) 0.67 * ( 1 / 975 ) 0.50 = 2.67m/secQ = 0.9 * 6 * 12.2 * 4.370 * 2.67 = 767 cumecs

    VC available ( DN ) = 25.475 23.270 = 2.20m > 1.50m ( Std VC )VC is available ( UP ) = 25.505 23.270 = 2.235mSimilarly capacity of Br.N0.240 ,Q = 0.9 * 7 * 12.2 * 3.300 * 2.26 = 573.60 cumecs

    Total HFL = 767 + 573.60 = 1340 > 1335 ( Q 50 )

    VC available ( DN ) = 25.860 23.270= 2.590m > 1.50m ( Std VC )VC ( UP ) = 25.800 23.270 = 2.530 > 1.50m ( Std VC )

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    Catchment Area of tanks

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    Flow pattern of Breached tanks

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    Water way design of surplus weir for RAT

    RAT Is a tank , a breach / damage / substandard

    maintenance or an act of negligence or omission indue operation of which result in danger to anyrailway in the opinion of responsible railway officernot less than DEN.

    Nemalla pudi Tank ( RAT ) Catchment area = 52.80 sq.m.Q 50 Discharge = 52.80 * 1335.43/ 250 = 278 cumecs.

    Design depth of flow( H ) = 1.03 m = 1.03/0.305=3.37FT.Q = 2 * L * H 1.50 ( FPS units ).

    Length of Weir required.L = 278 * 35.31 / ( 2 * (3.37 )1.50 ) = 790 ft = 790 * 0.305 = 240m.

    Existing weir length = 42m.Hence Additional weir length is required.with 1.03m designed depth, 240 42 = 198m.

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    Additional length of weir required

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    Proposals & Conclusions1. Adequacy of waterway should be checked for all minor

    bridges and major / important bridges, if it is affected by

    RAT / RAW

    2. The catchment area of RAT s and connected upper tanks

    should be studied and length of surplus weir to be checked

    for adequacy.

    3. The ADEN in charge of the section should conduct joint

    inspection with the engineers of state irrigation department

    regarding the stability of bunds ,water way etc beforeonsoon as per guide lines specified in the relevant manuals

    and codes.

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    References

    1. Flood Estimation Methods for catchments

    < 25 sq.km in area ( RBF 16 ) by RDSO

    2. Flood Estimation Report Eastern Coast Region

    ( Sub Zones 4 a,b, &c ) CWC and RDSO

    3. IRS Code for sub structure and foundations

    4. IRS Bridge Manual

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    Acknowledgements

    we are very much thankful to IRICEN Institute in

    providing the well equipped library and computer centre as well as in the hostel premises also. For this we extend our sincere

    thanks to the Director, IRICEN and faculty members.

    We are very much grateful to our project guide shri G. Bansal , professor /Bridges, IRICEN ,Pune for his valuable

    guidance in preparing the project work entrusted to us.

    We extend our sincere thanks to the Chief BridgeEngineers office( Flood Section ) / Southern Railway and state

    irrigation dept , GUDUR for providing us the records for the

    case study.

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    THANK YOU