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设计
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例题三、计算实例大坝实用剖面图荷载计算简图坝体自重计算静水压力泥沙压力浪压力计算扬压力计算坝体自重计算 W1=1/2×24×21×21×0.2×1=1058.4(kN) 力臂=28.56/2-2/3×21×0.2=11.48(m) 坝顶宽度=(34.8-28.8)×0.7=4.2(m) 坝基宽度=34.8×0.7+21×0.2=28.56(m) 力矩=1058.4×11.48=12150.432(kN•m) W2=24×4.2×34.8×1=3507.84(kN) 力臂=28.56/2-21×0.2-4.2/2=7.98(m) 力矩=3507.84×7.98=27992.563(kN•m) W3=1/2×24×28.8×28.8×0.7×1=6967.296(kN) 力臂=28.56/2-28.8×0.7×2/3=0.84(m) 力矩=-6967.296×0.84=-5852.529(kN•m)回计算简图静水压力计算 PH1=1/2×9.81×33×33×1=5341.545(kN)力臂=1/3×33=11.0(m) 力矩=-5341.545×11.0=-58756.995(kN•m) PH2=-1/2×9.81×2.1×2.1×1=-21.631(kN)力臂=1/3×2.1=0.7(m) 力矩=21.631×0.7=15.142(kN•m) PV1=9.81×(33-21)×21×0.2=494.424(kN) 力臂=28.56/2-21×0.2/2=12.18(m) 力矩=494.424×12.18=6022.084(kN•m) PV2=1/2×9.81×21×21×0.2=432.621(kN) 力臂=28.56/2-21×0.2/3=12.88(m) 力矩=432.621×12.88=5572.158(kN•m) PV3=1/2×9.81×2.1×2.1×0.7=15.142(kN) 力臂=28.56/2-2.1×0.7/3=13.79(m) 力矩=-15.142×13.79=-208.805(kN•m)回计算简图回计算简图泥沙压力计算 PsH=1/2×6.5×11.1×11.1×tan2(45-18/2)=211.374(kN) 力臂=1/3×11.1=3.7(m) 力矩=-211.374×3.7=-782.084(kN•m) PsV=1/2×6.5×11.1×11.1×0.2=80.087(kN) 力臂=28.56/2-11.1×0.2/3=13.54(m) 力矩=80.087×13.54=1084.378(kN•m)回计算简图浪压力计算 计算风速V0=1.5×12=18(m/s),D=900(m) hL=0.59(m),Lm=6.88(m) 由于gD/V02=27.25,hL=h5%,h1%=1.241h5%=0.737,hZ=0.248。Hcr=0.89,H=33>Hcr,且H>Lm/2,深水波 PL=1/4×9.81×6.88×(0.737+0.248)=16.62(kN) 力矩=-16.62×33=-548.36(kN•m)回计算简图扬压力计算 U1=-9.81×2.1×28.56×1=-588.365(kN) 力臂=0(m)力矩=0(kN•m) U2=-9.81×6.9×0.25×(33-2.1)=-522.898(kN) 力臂=28.56/2-6.9/2=10.83(m)力矩=-5662.98(kN•m) U3=-9.81×1/2×(28.56-6.9)×0.25×(33-2.1)=-820.722(kN) 力臂=2/3×(28.56-6.9)-28.56/2=0.16(m)力矩=-131.32(kN•m) U4=-9.81×1/2×6.9×(1-0.25)×(33-2.1)=-784.346(kN) 力臂=28.56/2-1/3×6.9=11.98(m)力矩=-9487.70(kN•m)荷载作用标准值作用设计值力臂(m)弯矩标准值(kN·m)弯矩设计值(kN·m)垂直荷载(kN)水平荷载(kN)垂直荷载(kN)水平荷载(kN)自重W11058.401058.4011.4812150.4312150.43W23507.843507.847.9827992.5627992.56W36967.306967.30-0.84-5852.53-5852.53水平水压力PH15341.555341.55-11.00-58757.00-58757.00PH2-21.63-21.63-0.7015.1415.14垂直水压力PV1494.42494.4212.186022.086022.08PV2432.62432.6212.885572.165572.16PV315.1415.14-13.79-208.80-208.80泥沙压力Psv80.0980.0913.541084.371084.37PsH211.37253.65-3.70-782.08-938.50浪压力PL16.6219.94-33.00-548.36-658.04扬压力浮托力U1-588.36-588.360.000.000.00渗透压力U2-522.90-627.4810.83-5662.98-6795.58U3-820.72-984.870.16-131.32-157.58U4-784.35-941.2211.98-9396.47-11275.76∑9839.485547.909413.895593.50-28502.79-31807.03∑WK∑PK∑WR∑PR∑MK∑MR设计洪水位情况荷载作用标准值作用设计值力臂(m)弯矩标准值(kN·m)弯矩设计值(kN·m)垂直荷载(kN)水平荷载(kN)垂直荷载(kN)水平荷载(kN)自重W11058.401058.4011.4812150.4312150.43W23507.843507.847.9827992.5627992.56W36967.306967.30-0.84-5852.53-5852.53水平水压力PH15838.185838.18-11.50-67139.03-67139.03PH2-53.42-53.42-1.1058.7658.76垂直水压力PV1556.23556.2312.186774.846774.84PV2432.62432.6212.885572.165572.16PV337.3937.39-13.51-505.15-505.15泥沙压力Psv80.0980.0913.541084.371084.37PsH211.37253.65-3.70-782.08-938.50浪压力PL6.517.81-34.50-224.51-269.41扬压力浮托力U1-924.57-924.570.000.000.00渗透压力U2-527.97-633.5710.83-5717.96-6861.55U3-828.69-994.430.16-132.59-159.11U4-791.96-950.3511.98-9487.70-11385.24∑9566.666002.649136.946046.22-36208.42-39477.38∑WK∑PK∑WR∑PR∑MK∑MR校核洪水位情况