ABCDEFGHIJKLMNOPQRSTUVWXYZ
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Hydrodynamic Forces on the Walls of Forebay due to Horizontal Earthquakes
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Based on Westergaard Formula (ADVANCE DAM ENGINEERING (1988 edition), For Design Construction and Rehabilitation, by Robert B. Jansen)
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Westergaard formula for computing hydrodynamic pressure (forces), using the parabolic apporoximation:
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Input Data:
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a = Seismic Coefficient (a fraction of g)
m0,15
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h = Total depth of water (ft.)
14,2546,75197ft.
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Ce = Factor depending principally on the height of the dam and the eathquake period, te, in seconds
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k = Hydrodynamic pressure coefficient
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te = Earthquake period, in seconds (often assumed as one second)
1Sec.
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q = Angle of wall face from vertical
0Degrees.
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Values of Ce for different slopes
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Wall Slope Angle from the Vertical
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0o10o20o30o40o50o60o70o
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k10,920,830,730,630,510,4050,285
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Ce51,04046,95742,36337,25932,15526,03020,67114,546
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HydroDynamic Pressure Pe (lbs/ft2) on the Vertical and Sloping Faces Due to Horz. E.quakes
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Wall Slope Angle from the Vertical
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0o10o20o30o40o50o60o70o
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1357,934329,300297,085261,292225,499182,547144,963102,011
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0,95348,871320,962289,563254,676219,789177,924141,29399,428
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0,9339,566312,401281,840247,883213,927173,179137,52496,776
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0,85329,999303,599273,899240,899207,899168,300133,65094,050
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0,8320,146294,535265,721233,707201,692163,275129,65991,242
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0,75309,980285,182257,284226,286195,288158,090125,54288,344
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0,7299,469275,512248,560218,613188,666152,729121,28585,349
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0,65288,576265,490239,518210,660181,803147,174116,87382,244
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0,6277,255255,074230,121202,396174,670141,400112,28879,018
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0,55265,451244,215220,324193,779167,234135,380107,50875,654
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0,5253,098232,850210,071184,761159,452129,080102,50572,133
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0,45240,110220,901199,291175,280151,269122,45697,24468,431
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0,4226,378208,267187,893165,256142,618115,45391,68364,518
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0,35211,757194,816175,758154,582133,407107,99685,76260,351
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0,3196,049180,365162,720143,116123,51199,98579,40055,874
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0,25178,967164,650148,543130,646112,74991,27372,48251,006
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0,2160,073147,267132,861116,853100,84681,63764,83045,621
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0,15138,627127,537115,061101,19887,33570,70056,14439,509
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0,1113,189104,13493,94782,62871,30957,72645,84132,259
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0,0580,03773,63466,43058,42750,42340,81932,41522,810
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00,0000,0000,0000,0000,0000,0000,0000,000
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Pe, in KN/m2.
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Wall Slope Angle from the Vertical
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0o10o20o30o40o50o60o70o
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117,13715,76614,22412,51010,7968,7406,9414,884
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0,9516,70315,36713,86412,19310,5238,5196,7654,760
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0,916,25814,95713,49411,86810,2428,2916,5844,633
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0,8515,80014,53613,11411,5349,9548,0586,3994,503
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0,815,32814,10212,72211,1899,6577,8176,2084,368
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0,7514,84113,65412,31810,8349,3507,5696,0114,230
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0,714,33813,19111,90110,4679,0337,3125,8074,086
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0,6513,81612,71111,46810,0868,7047,0465,5963,938
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0,613,27412,21211,0189,6908,3636,7705,3763,783
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0,5512,70911,69310,5499,2788,0076,4825,1473,622
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0,512,11811,14810,0588,8467,6346,1804,9083,454
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0,4511,49610,5769,5428,3927,2425,8634,6563,276
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0,410,8389,9718,9967,9126,8285,5284,3903,089
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0,3510,1389,3278,4157,4016,3875,1714,1062,889
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0,39,3868,6357,7916,8525,9134,7873,8012,675
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0,258,5697,8837,1126,2555,3984,3703,4702,442
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0,27,6647,0516,3615,5954,8283,9093,1042,184
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0,156,6376,1065,5094,8454,1813,3852,6881,892
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0,15,4194,9864,4983,9563,4142,7642,1951,544
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0,053,8323,5253,1812,7972,4141,9541,5521,092
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00,0000,0000,0000,0000,0000,0000,0000,000
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