Download - Free Board Calculation of Dams

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Page 1: Free Board Calculation of Dams

Master CopyReference- IS6512-1984, Appendix AFull Reservoir Level FRL = 146.3 mReservoir Maximum Fetch Fmax = 11 kmReservoir Effective Fetch Fe = 5.1 kmMaximum wind Velocity over Land UL 140 km/h 93.33333Wind Ratio, (Table-A-1.5) Wr 1.27 1.27Wind Velocity over Water, UW=Wr*UL UW 177.8 km/h 118.5333Significant wave Height, (From Fig 5) Hs 2.8 m 2.8Design wave Height, (From Table A-1.7) H 3.6 m 3.6Wind Set up=V2Fmax/(62000D) HWS 0.3 m 0.1Computed Free Bard=4/3(H)+HWS FBcomp 5.1 m 4.9Similar computation should be done with reference to MWL for 2/3 wind velocity.Minimum Free board to be Provided above MWL 1 mTop of Dam=max of (FRL+Fbcomp), (MWL+FBcompMWL),MWL+1)

151.4Calculation of Effective Fetch

x1 in km42 0.743 Aa 3 2.2336 0.809 Ab 4.85 3.9230 0.866 Ac 3.65 3.1624 0.914 Ad 4.8 4.3918 0.951 Ae 5.5 5.2312 0.978 Af 5.9 5.776 0.995 Ag 6 5.970 1.000 AB 4.5 4.506 0.995 Ag' 4.7 4.67

12 0.978 Af' 5.3 5.1818 0.951 Ae' 4.2 3.9924 0.914 Ad' 5.25 4.8030 0.866 Ac' 6.2 5.3736 0.809 Ab' 6.55 5.3042 0.743 Aa' 5.1 3.79

13.511 68.285.1 km

ii) Maximum Fetch CD 11 km

Computation of Fetch of Water Along Fetch Line C-DS. No. FRL in m GL in m Depth in m

1 146.3 146.3 0

α0 Cosα x1Cosα

i) Effective Fetch=sum(x1Cosα)/sum(Cosα)

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2 146.3 140 6.33 146.3 135 11.34 146.3 130 16.35 146.3 125 21.36 146.3 120 26.37 146.3 115 31.38 146.3 112 34.3

Total 147.1Average depth=Total/8 18.3875 m

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Master CopyReference- IS6512-1984, Appendix AFull Reservoir Level FRL = 424.8 mReservoir Maximum Fetch Fmax = 2.95 km From DrawingReservoir Effective Fetch Fe = 0.8 km From DrawingMaximum wind Velocity over Land UL 158.4 km/hWind Ratio, (Table-A-1.5) Wr 1.1Wind Velocity over Water, UW=Wr*UL UW 174.24 km/hSignificant wave Height, (From Fig 5) Hs 1.028 mDesign wave Height, (From Table A-1.7) H 1.4 mWind Set up=V2Fmax/(62000D) HWS 0.000 mComputed Free Bard=4/3(H)+HWS FBcomp 1.87 mSimilar computation should be done with reference to MWL for 2/3 wind velocity.Minimum Free board to be Provided above MWL 1 mTop of Dam=max of (FRL+Fbcomp), (MWL+FBcompMWL),MWL+1)

426.67 mCalculation of Effective Fetch

x1 in m42 0.743 Aa 268.03 199.1936 0.809 Ab 296.08 239.5330 0.866 Ac 324.9 281.3724 0.914 Ad 354.27 323.6418 0.951 Ae 388.24 369.2412 0.978 Af 1350.54 1321.036 0.995 Ag 1646.74 1637.720 1.000 AB 2945.64 2945.646 0.995 Ag' 736.13 732.10

12 0.978 Af' 666.79 652.2218 0.951 Ae' 628.04 597.3024 0.914 Ad' 571.42 522.0230 0.866 Ac' 456.37 395.2336 0.809 Ab' 398.7 322.5642 0.743 Aa' 119.1 88.51

13.511 10627.280.79 km

ii) Maximum Fetch CD 2.95 km

Computation of Fetch of Water Along Fetch Line C-DS. No. FRL in m GL in m Depth in m

1 424.8 294.5 130.3

α0 Cosα x1Cosα

i) Effective Fetch=sum(x1Cosα)/sum(Cosα)

1. Computation of free board - FRL Condition

FRL 424.80 m2.95 km0.79 km

158.40 km p h

Depth of water (D) = 87.41 mStep 1 Step 2 Step 3 Step 4 Step 5 Step 6 Step 7 Step 8 Step 9

Step 10

174.21 km p h1.084 m1.38 m0.01651.86 m

426.66 m

Reservoir maximum fetch

Top of the dam

Reservoir effective fetchmaximum wind velocity over landWind velocity overwater=158.40X1.1Significant Wave height ( Hs )

Wind set up = V F/62000DComputed free board = 1.33 X H + wind setup

Design Wave height (H)= 1.27 X Hs2

Provided - 426 .80 m

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2 424.8 360 64.83 424.8 390 34.84 424.8 340 84.85 424.8 295.5 129.36 424.8 296.5 128.37 424.8 390 34.88 424.8 340 84.89 424.8 330 94.8

Total 786.7Average depth=Total/9 87.41111 m

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From DrawingFrom Drawing

1. Computation of free board - FRL Condition

FRL 424.80 m2.95 km0.79 km

158.40 km p h

Depth of water (D) = 87.41 mStep 1 Step 2 Step 3 Step 4 Step 5 Step 6 Step 7 Step 8 Step 9

Step 10

174.21 km p h1.084 m1.38 m0.01651.86 m

426.66 m

Reservoir maximum fetch

Top of the dam

Reservoir effective fetchmaximum wind velocity over landWind velocity overwater=158.40X1.1Significant Wave height ( Hs )

Wind set up = V F/62000DComputed free board = 1.33 X H + wind setup

Design Wave height (H)= 1.27 X Hs2

Provided - 426 .80 m

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