圓形水池計算

1、底固定，頂自由圓形水池內力 水池高h5.5m水池直徑d12.8m池壁厚度h 三角形荷載q-105kn矩形荷載p-79kn頂端彎矩m0 側壁內力： 0.0h0.1h0.2h0.3h0.4h 豎向彎矩 mx553505398274158 環(huán)向彎矩 m9284664626 環(huán)向力 n-3011-1781-981-523-301 剪力 vx頂端0底端-1260 符號規(guī)定：外壁受拉為正；環(huán)向力受拉為正；剪力向外為正 說明：根據特種結構設計（計劃出版社）編制 0.8m水池半徑r6.4m 553kn*m 0.5h0.6h0.7h0.75h0.8h0.85h0.9h0.95h1.0h 640-31-32-23

2、-22973133 110-5-5-4051222 -216-188-161-139-110-75-40-120 圓形水池底板計算： 池底厚度h10.80m上部荷載8600kn水池自重 混凝土彈性模量e30000000kn/m2地基土的變形模量e020000 混凝土的泊松比v0.16地基土的泊松比v00.15 固端彎矩mb133kn*m均布荷載p-73kn集中力f 圓板的柔性指數s1.020752532 底板固端彎矩md87kn*m 池壁下端剛度mmbk1eh3/h=1972680.992 池壁下端剛度mmdeh13/10r=240000 分配系數：池壁b=mmb/(mmb+mmd)=0.89

3、15343 池底d=mmd/(mmb+mmd)=0.1084657 分配彎矩池壁mb=b(mb-md)=41.261506 池底md=d(mb-md)=5.0199507 底板內力： 00.20.40.60.8 徑向彎矩mr-38-28350106 環(huán)向彎矩mt-38-33-19533 徑向固端彎矩mf92 說明： 地基土的泊松比參考地基與基礎第144頁表7-1-1，碎石土0.150.2 地基土的變形模量e0，參考第150頁表7-1-2，低壓縮性土e0/es1，取值1， 土的壓縮模量es參考勘測報告取值20mpa,e0=20mpa。 804kn kn/m2 0kn 1 133 58 地基土的泊

4、松比參考地基與基礎第144頁表7-1-1，碎石土0.150.2 地基土的變形模量e0，參考第150頁表7-1-2，低壓縮性土e0/es1，取值1， 土的壓縮模量es參考勘測報告取值20mpa,e0=20mpa。 底固定，頂自由圓形水池內力系數 三角形荷載 水池高h5.5m水池直徑d12.8m水池半徑r h2/dh 豎向彎矩系數kmx 123456 0.0h0.1h0.2h0.3h0.4h0.5h 10.2 20.4 30.6 40.8 51 61.5 7200.0010.00350.00680.00990.0118 8300.00060.00230.00460.00710.0091 94 10

5、500.00010.00060.00160.00290.0046 116000.00030.00080.00180.0032 127 138 149 1510 1612 1714 1816 1920 2024 2128 2232 2340 2448 2556 豎向彎矩 mxkmxqh20-2-7-15-23-29 環(huán)向彎矩 mmx/600-1-2-4-5 符號規(guī)定：外壁受拉為正 6.4m池壁厚度h0.8m荷載q-105kn 7891011121314 0.6h0.7h0.75h0.8h0.85h0.9h0.95h1.0h 0.01140.00740.0035-0.002-0.0092 -0.0

6、184 -0.0207 -0.0434 0.00970.00770.00510.0012-0.0043 -0.0117 -0.0212 -0.0331 0.00590.00590.00490.0028-0.0006 -0.0057 -0.0128 -0.0222 0.00460.00510.00450.003-0.0003 -0.0041 -0.0104-0.019 -31-24-16-3143867107kn*m -5-4-3-1261118 豎向彎矩系數kmx h2/dh2.954102 線性插值 0.0h0.1h0.2h0.3h0.4h0.5h0.6h 較小值序號7 較小值2 對應的系數

7、00.0010.00350.00680.00990.01180.0114 較大值序號8 較大值3 對應的系數00.00060.00230.00460.00710.00910.0097 實際的系數00.000618 0.002355 0.004701 0.007229 0.009224 0.009778 0.7h0.75h0.8h0.85h0.9h0.95h1.0h 0.00740.0035-0.002-0.0092-0.0184-0.0207-0.0434 0.00770.00510.0012-0.0043-0.0117-0.0212-0.0331 0.007686 0.005027 0.00

8、1053 -0.00452 -0.01201 -0.02118 -0.03357 底固定，頂自由圓形水池內力系數 三角形荷載 水池高h5.5m水池直徑d12.8m水池半徑r6.4 h2/dh 環(huán)向力系數kn 1234567 0.0h0.1h0.2h0.3h0.4h0.5h0.6h 10.2 20.4 30.6 40.8 51 61.5 720.2290.2510.2720.2860.2870.270.231 830.1350.2020.2670.3220.3570.3630.332 94 1050.210.1350.2440.3460.4280.4760.471 1160.0020.1190.

9、2340.3450.4410.5050.516 127 138 149 1510 1612 1714 1816 1920 2024 2128 2232 2340 2448 2556 環(huán)向力 nknqr-94-137-180-215-238-241-220 剪力 vxkvxqh頂端0底端152 符號規(guī)定：環(huán)向力受拉為正 剪力向外為正 m池壁厚度h0.8m荷載q-105kn 剪力系數kvx 8910111213141516 0.7h0.75h0.8h0.85h0.9h0.95h1.0h頂端底端 0.1720.1370.10.0640.0320.00900-0.298 0.260.2120.1580

10、.1030.0530.01500-0.261 0.3980.3360.2590.1750.0930.02700-0.213 0.450.3860.3030.2070.1110.03300-0.196 -172-140-104-68-35-100kn*m 環(huán)向力系數kn h2/dh2.954102 線性插值 0.0h0.1h0.2h0.3h0.4h0.5h0.6h0.7h 較小值序號7 較小值2 對應的系數0.2290.2510.2720.2860.2870.270.2310.172 較大值序號8 較大值3 對應的系數0.1350.2020.2670.3220.3570.3630.3320.26

11、 實際的系數0.139314 0.204249 0.267229 0.320348 0.353787 0.358731 0.327364 0.255961 0.75h0.8h0.85h0.9h0.95h1.0h頂端底端 0.1370.10.0640.0320.00900-0.298 0.2120.1580.1030.0530.01500-0.261 0.208558 0.155338 0.10121 0.052036 0.01472500-0.2627 底固定，頂自由圓形水池內力系數 矩形荷載 水池高h5.5m水池直徑d12.8m水池半徑r h2/dh 豎向彎矩系數kmx 123456 0.0

12、h0.1h0.2h0.3h0.4h0.5h 10.2 20.4 30.6 40.8 51 61.5 7200.00110.00360.00650.00880.0091 8300.00070.00260.0050.00740.0089 94 10500.00020.00080.00190.00340.005 11600.00010.00040.0010.00210.0036 127 138 149 1510 1612 1714 1816 1920 2024 2128 2232 2340 2448 2556 豎向彎矩 mxkmxph20-2-6-12-18-21 環(huán)向彎矩 mmx/600-1-2-

13、3-4 符號規(guī)定：外壁受拉為正 6.4m池壁厚度h0.8m荷載p-79kn 7891011121314 0.6h0.7h0.75h0.8h0.85h0.9h0.95h1.0h 0.006-0.0019-0.0082-0.0164-0.0266 -0.0389 -0.0537 -0.0709 0.00840.00430.0003-0.0052-0.0126 -0.0221 -0.0339 -0.0482 0.0060.00520.00360.0007-0.0037 -0.0099 -0.0184 -0.0293 0.00480.00480.00380.0017-0.0019 -0.0072 -0

14、.0146 -0.0244 -20-10014325583118kn*m -3-202591420 豎向彎矩系數kmx h2/dh2.954102 線性插值 0.0h0.1h0.2h0.3h0.4h0.5h0.6h 較小值序號7 較小值2 對應的系數00.00110.00360.00650.00880.00910.006 較大值序號8 較大值3 對應的系數00.00070.00260.0050.00740.00890.0084 實際的系數00.000718 0.002646 0.005069 0.007464 0.008909 0.00829 0.7h0.75h0.8h0.85h0.9h0.9

15、5h1.0h -0.0019-0.0082-0.0164-0.0266-0.0389-0.0537-0.0709 0.00430.0003-0.0052-0.0126-0.0221-0.0339-0.0482 0.004015 -0.00009 -0.00571 -0.01324 -0.02287 -0.03481 -0.04924 底固定，頂自由圓形水池內力系數 三角形荷載 水池高h5.5m水池直徑d12.8m水池半徑r6.4 h2/dh 環(huán)向力系數kn 1234567 0.0h0.1h0.2h0.3h0.4h0.5h0.6h 10.2 20.4 30.6 40.8 51 61.5 721.

16、2481.1461.0420.9310.8070.6680.513 831.1611.1131.0610.9970.9130.7980.646 94 1051.0351.0431.0471.0431.0150.9490.824 1161.0081.0241.0381.0451.0340.9870.881 127 138 149 1510 1612 1714 1816 1920 2024 2128 2232 2340 2448 2556 環(huán)向力 nknqr-589-563-536-503-459-400-324 剪力 vxkvxqh頂端0底端135 符號規(guī)定：環(huán)向力受拉為正 剪力向外為正 m池壁

17、厚度h0.8m荷載p-79kn 剪力系數kvx 8910111213141516 0.7h0.75h0.8h0.85h0.9h0.95h1.0h頂端底端 0.3470.2640.1850.1140.0550.01500-0.369 0.4610.360.2590.1630.0810.02300-0.309 0.6320.5120.3810.2490.1280.03700-0.242 0.6950.5710.4320.2870.150.04400-0.221 -230-180-129-81-40-110kn*m 環(huán)向力系數kn h2/dh2.954102 線性插值 0.0h0.1h0.2h0.3

18、h0.4h0.5h0.6h0.7h 較小值序號7 較小值2 對應的系數1.2481.1461.0420.9310.8070.6680.5130.347 較大值序號8 較大值3 對應的系數1.1611.1131.0610.9970.9130.7980.6460.461 實際的系數1.164993 1.114515 1.060128 0.993971 0.908135 0.792033 0.639896 0.455768 0.75h0.8h0.85h0.9h0.95h1.0h頂端底端 0.2640.1850.1140.0550.01500-0.369 0.360.2590.1630.0810.02

19、300-0.309 0.355594 0.255604 0.160751 0.079807 0.02263300-0.31175 底固定，頂自由圓形水池內力系數 頂端力矩 水池高h5.5m水池直徑d12.8m水池半徑r h2/dh 豎向彎矩系數kmx 123456 0.0h0.1h0.2h0.3h0.4h0.5h 10.2 20.4 30.6 40.8 51 61.5 7210.9450.8150.6530.4870.332 8310.9190.7410.5390.3540.202 94 10510.8720.6190.3680.1760.051 11610.850.5670.3050.119

20、0.013 127 138 149 1510 1612 1714 1816 1920 2024 2128 2232 2340 2448 2556 豎向彎矩 mxkmxm0553509412301199115 環(huán)向彎矩 mmx/6928569503319 符號規(guī)定：外壁受拉為正 6.4m池壁厚度h0.8m彎矩m0553kn*m 7891011121314 0.6h0.7h0.75h0.8h0.85h0.9h0.95h1.0h 0.1930.0690.013-0.042-0.094-0.146-0.197-0.248 0.0870.003-0.031-0.061-0.087-0.113-0.137

21、-0.161 -0.015-0.043-0.047-0.047-0.046-0.043-0.03-0.035 -0.034-0.045-0.043-0.038-0.031-0.024-0.016-0.008 513-16-33-48-63-77-91kn*m 81-3-6-8-11-13-15 豎向彎矩系數kmx h2/dh2.954102 線性插值 0.0h0.1h0.2h0.3h0.4h0.5h0.6h 較小值序號7 較小值2 對應的系數10.9450.8150.6530.4870.3320.193 較大值序號8 較大值3 對應的系數10.9190.7410.5390.3540.2020.

22、087 實際的系數10.920193 0.744396 0.544232 0.360104 0.207967 0.091865 0.7h0.75h0.8h0.85h0.9h0.95h1.0h 0.0690.013-0.042-0.094-0.146-0.197-0.248 0.003-0.031-0.061-0.087-0.113-0.137-0.161 0.006029 -0.02898 -0.06013 -0.08732 -0.11451 -0.13975 -0.16499 底固定，頂自由圓形水池內力系數 頂端力矩 水池高h5.5m水池直徑d12.8m水池半徑r6.4 h2/dh 環(huán)向力系

23、數kn 1234567 0.0h0.1h0.2h0.3h0.4h0.5h0.6h 10.2 20.4 30.6 40.8 51 61.5 72-3.309-1.817-0.764-0.0890.2810.4220.409 83-3.371-1.55-0.3660.30.5870.6250.52 94 105-3.414-1.1610.0870.6120.7020.580.393 116-3.416-1.0040.2330.6720.6740.4990.3 127 138 149 1510 1612 1714 1816 1920 2024 2128 2232 2340 2448 2556 環(huán)向力

24、 nknm0/h-2328-1080-266195396426356 剪力 vxkvxm0/h頂端0底端-1547 符號規(guī)定：環(huán)向力受拉為正 剪力向外為正 m池壁厚度h0.8m彎矩m0553kn*m 剪力系數kvx 8910111213141516 0.7h0.75h0.8h0.85h0.9h0.95h1.0h頂端底端 0.3050.2370.1680.1030.050.01300-1.019 0.3510.2630.180.1080.0510.01300-0.484 0.2190.150.0930.0510.0220.005000.077 0.1450.0910.0510.0250.0090

25、.002000.156 241181124743590kn*m 環(huán)向力系數kn h2/dh2.954102 線性插值 0.0h0.1h0.2h0.3h0.4h0.5h0.6h0.7h 較小值序號7 較小值2 對應的系數-3.309-1.817-0.764-0.0890.2810.4220.4090.305 較大值序號8 較大值3 對應的系數-3.371-1.55-0.3660.30.5870.6250.520.351 實際的系數-3.36815 -1.56225 -0.38427 0.282146 0.572955 0.615683 0.514905 0.348889 0.75h0.8h0.8

26、5h0.9h0.95h1.0h頂端底端 0.2370.1680.1030.050.01300-1.019 0.2630.180.1080.0510.01300-0.484 0.261807 0.179449 0.107771 0.0509540.01300-0.50856 圓形水池彈性地基上圓板的彎矩系數：均布荷載p s r krkt 1234567 00.20.40.60.810 110.0510.04790.03890.02480.008400.051 220.0460.04330.03630.02270.007800.046 330 450 5100 6300 7500 81000 93

27、000 105000.000590.000620.000740.000910.0007600.00059 1110000.00030.000320.000370.000460.0004100.0003 徑向彎矩mrkrpr2-152-143-116-74-250kn*m 環(huán)向彎矩mtktpr2-152 符號規(guī)定：板下緣受拉為正 km 8910111213 0.20.40.60.81 0.04950.04520.03830.02980.0224-0.029 0.04470.04090.03480.02710.0203-0.028 -0.027 -0.026 -0.023 -0.017 -0.01

28、3 -0.009 -0.005 0.00060.000650.000740.000760.00056-0.003 0.000310.000330.000380.000390.00029-0.002 -148-135-114-89-67kn*m 固端彎矩mfkmpr287kn*m kt s=1.0207525 線性插值krkt 00.20.40.60.8100.2 較小值序號1 較小值1 對應的系數0.0510.04790.03890.02480.008400.0510.0495 較大值序號2 較大值2 對應的系數0.0460.04330.03630.02270.007800.0460.0447

29、 實際的系數 0.050900.047800.038850.024760.008390.000000.050900.04940 km 0.40.60.81 0.04520.03830.02980.0224-0.029 0.04090.03480.02710.0203-0.028 0.045110.038230.029740.02236-0.02898 kt 圓形水池彈性地基上圓板的彎矩系數：固端彎矩m0 s r krkt 1234567 00.20.40.60.810 110.86020.86970.8970.93740.986310.8602 220.7470.7640.81260.8881

30、0.964110.747 331 451 5101 6301 7501 81001 93001 10500-0.0052-0.0091-0.01790.02410.37621-0.0052 111000-0.0018-0.0034-0.00930.01550.33651-0.0018 徑向彎矩mrkrpm0114115119125131133 環(huán)向彎矩mtktm0114 符號規(guī)定：板下緣受拉為正 89101112 0.20.40.60.81 0.86470.87780.8980.92170.9411 0.7550.77840.81460.85750.8905 -0.007-0.0118-0.0

31、0380.09480.3322 -0.0026-0.0053-0.00120.08310.3238 kn*m 115117119122125 kt s=1.0207525 線性插值 00.20.40.60.8100.2 較小值序號1 較小值1 對應的系數0.86020.86970.8970.93740.986310.86020.8647 較大值序號2 較大值2 對應的系數0.7470.7640.81260.88810.964110.7470.755 實際的系數 0.857850.867510.895250.936380.985841.000000.857850.86242 0.40.60.81

32、 0.87780.8980.92170.9411 0.77840.81460.85750.8905 0.875740.896270.920370.94005 圓形水池彈性地基上圓板的彎矩系數：固端集中力f s r krkt 1234567 00.20.40.60.810 11-0.2475-0.2413-0.2215-0.1844-0.12010-0.2475 22-0.2197-0.2155-0.2014-0.1725-0.11820-0.2197 330 450 5100 6300 7500 81000 93000 10500-0.0003-0.0002-0.0008-0.0066-0.03080-0.0003 111000-0.0002-0.0002-0.0001-0.0032-0.02380-0.0002