六層建筑框架柱的配筋計算

混凝土強度：梁.柱.板：C30,fc14.3N/mm2，ft1.43N/mm2，ftk2.01N/mm2箍筋：HRB335，fy300N/mm2,fy'300N/mm2鋼筋強度：梁：HRB400，fy360N/mm2,fy'360N/mm2柱：HRB400，fy'360N/mm2360N/mm2,fy框架柱地配筋計算柱地配筋采用對稱式配筋（以利于不同方向風荷載地作用）柱截面 b h 400mm600mm h0 h 35mm 565mm§1軸壓比驗算Nmax 3034.32KN軸壓比：N3034.32103NNfcAc14.3N/mm20.884[1.05]滿足要求400mm600mm則柱地軸壓比滿足要求.bt0.80.518fy360111050.033Escu2.0§2截面尺寸復核取h0h35mm565mmVmax149.26KN因為hw/b565mm1.414400mm所以0.25cfcbh00.251.014.3N/mm2400mm565mm807.95KN125.61KN滿足要求.§3正截面受彎承載力計算柱同一截面分別承受正反向彎矩,故采用對稱配筋Nb1fcbh0b1.014.3KN/mm2400mm565mm0.5181674.7KN取一層柱為例進行計算 ,如下:1層C軸柱：選擇下列四種組合形式M135.09KNm1.2恒+1.4活M229.77KNmN1855.81KNM134.65KNm1.35恒+0.7×1.4活M229.40KNmN1924.64KNM1119.52KNm1.2（恒+0.5活）+1.3左震M2260.64KNmN1913.33KNM162.3KNm1.2（恒+0.5活）+1.3右震M2212.10KNmN1359.56KN因為軸壓比：N3034.32103NNfcAc0.8840.914.3N/mm2400mm600mm則可以不考慮軸向壓力在該方向撓曲桿件中產(chǎn)生地附加彎矩地影響 .第一種組合：M135.09KNm1.2恒+1.4活M229.77KNmN1855.81KNCm0.70.3M10.70.329.770.4450.7故取Cm0.7M235.09ea=max20mm,h60020mm20mm3030lc 1.25 3600mm 4500mm0.5fcA0.514.3400600103cN1855.810.92c1.0c0.92ns11(lc)2c1300(M2/Nea)/h0h=11300(35.091(4500)20.92103/1855.8120)/565600=1.37Cmns=0.71.37=0.959<1.0Cmns=1.0MCmnsM2=1.035.09KNm=35.09KNme0M35.9103mm18.91mmeie0ea18.912038.91mmN1855.81eeiha38.9160035303.91mme018.9122h05650.03N1855.81KNNb1674.7KN屬于小偏心受壓Nb1fcbh0bNe0.431fcbh021fcbh0(（h0）1b)as1855.811030.5181.014.34005650.5181855.81103303.910.431.014.340056521.014.3400565(0.80.518)（56535）0.620.8Ne1fcbh020.5)ASAS(1fy(h0as)0.81855.81103303.911.014.340056520.62(10.50.62)360(56535)=-1735.59mm2<0邊柱地最小配筋率min0.7%Asmin0.7%400600168mm02按構造配筋每側實配3A20（AsAs'941mm2）第二種組合M134.65KNm1.35恒+0.7×1.4活M229.40KNmN1924.64KNCm0.7-0.3M10.7-0.329.40.4450.7故取Cm0.7M234.65ea=max20mm,h60020mm20mm3030lc1.253600mm4500mm0.5fcA0.514.34006001030.89cN1924.64c1.0c0.8911lc)2nsea)/h0(c1300(M2/Nh=1(34.651(4500)20.891300103/1924.6420)/565600=1.37Cmns=0.71.37=0.959<1.0Cmns=1.0MCmnsM2=1.034.65KNm=34.65KNme0M34.65103mm18.0mmeie0ea18.02038mmN1924.64eeiha3860035303mme018.00.0322h0565N1924.64kNNb1674.7kN屬于小偏心受壓Nb1fcbh0bNe0.4321fcbh01fcbh0(（h0）1b)as1924.641030.5181.014.34005650.5181924.641033030.431.014.340056521.014.3400565(0.80.518)（56535）0.65ASAS0.8Ne1fcbh02(10.5)fy(h0as)0.81924.641033031.014.340056520.65(10.50.65)360 (565 35)=-1757.9mm2按構造配筋每側實配 3A20（As As' 941mm2）第三種組合：M1119.52KNm1.2（恒+0.5活）+1.3左震M2260.64KNmN1913.33KNCm0.70.3M10.70.3119.520.5620.7故取Cm0.7M2260.64ea=max20mm,h60020mm20mm3030lc1.253600mm4500mmc0.5fcA0.514.34006001030.9N1913.33c1.0c0.9ns11ea)/h0(lc)2c1300(M2/Nh=1(260.641(4500)20.91300103/1913.3320)/565600=1.09Cmns=0.71.09=0.763<1.0Cmns=1.0MCmnsM2=1.0260.64KNm=260.64KNme0M206.64103mm136.32mmN1913.33eie0ea136.3220156.32mmeeiha60035421.32mme0136.322156.32h00.242565N1913.33KNNb1674.7KN屬于小偏心受壓Nb1fcbh0bNe0.43fbh21c（01fcbh0(h0）1b)as1913.331030.5181.014.34005651913.33103421.320.431.014.340056520.5181.014.3400565(0.80.518)（）565350.59ASAS0.8Ne1fcbh02(10.5)fy(h0as)0.81913.33103 421.32 1.014.3 4005652 0.59 (1 0.50.59)360(565 35)=-597.46mm2按構造配筋' 2每側實配 3A20（As As 941mm）M162.3KNm1.2（恒+0.5活）+1.3右震M2212.10KNmN1359.56KNCm0.7-0.3M10.7-0.329.40.4450.7故取Cm0.7M234.65ea=max20mm,h60020mm20mm3030lc 1.25 3600mm 4500mm0.5fcA0.514.3400600103cN1359.561.26c1.0c1.0ns11ea)/h0(lc)2c1300(M2/Nh1(212.131(4500)21.0130010/1359.5620)/565600=1.09Cmns=0.71.09=0.763<1.0Cmns=1.0MCmnsM2=1.0212.1KNm=212.1KNme0M212.1103mm156.01mmeie0ea156.0120176.01mmN1924.64eh60035441.01mme0441.01eia176.01h00.2822565N1359.56KNNb1674.7KN屬于大偏心受壓1359.561000fcbh014.34005650.42ASAS0.8Ne1fcbh02(10.5)fy(h0as)0.81359.56103441.011.014.340056520.42(10.50.42)360(56535)=-665.19mm2按構造配筋每側實配 3A20（As As' 941mm2）§4正截面承載力驗算l0/b4.5m/0.4m11.25,查表得0.96N0.9(fcAfy'As')0.90.96(14.3N/mm2400600mm2360N/mm2941mm22)3550.62KNNmax3034.32KN滿足要求.§5

斜截面受剪承載力計算以每層中剪力

V最大時對應地軸力

N地組合和每層中

N最大時對應地剪力

V組合進行受剪承載力計算

,并采用最大值作為該層柱地箍筋計算

.以第一層為例：由以上柱地內力組合表可得

V最大和N最大時同一種組合150.46KNmN3034.32KNhw5651.414VccV1.2150.46180.552KNb400KN10.20cfcbh010.201.014.3400565103760.424KNRE0.85Vc1760.424KN0.20cfcbh0RE剪跨比：Hn3.6m0.6m2.6553,取2.6552h020.565m因為0.3fcA0.314.3N/mm2400600mm21029.6KNN所以N1029.6KNAsvV1.75ftbh00.07N1.0sfyvh0180.552103N1.751.43N/mm2400565mm20.071029.6103N2.65510.270300N/mm2565mm0.7ftbh00.71.43N/mm2400565mm2226.23KNVc180.552KN所以按構造配筋,實配箍筋B8@200.§6裂縫寬度驗算規(guī)范規(guī)定對于e0/h00.55地構建可以不進行裂縫寬度驗算.由前面計算可知：第一組內力：e0/h00.030.55第二組內力：e0/h00.030.55第三組內力：e0/h00.240.55第四組內力：e0/h00.280.55所以不需要進行柱地裂縫寬度驗算 .其他柱地計算過程與上述計算過程相同 ,在此不一一進行計算 .各層柱地配筋表格如下：表1柱子斜截面配筋計算一層二層三層NmaxVmaxNmaxVmaxNmaxVmaxN3034.3203034.3202475.5202475.5201917.5001917.500V150.460150.460151.750151.750138.690138.6902.6552.6552.6552.6552.6552.6550.3fcA1029.0001029.0001029.0001029.0001029.0001029.000N計算值1029.0001029.0001029.0001029.0001029.0001029.0000.2cfcbh0760.424760.424760.424760.424760.424760.424RE11.75266.792266.792266.792266.792266.792266.792ftbh00.07NRE1ASV構造配筋構造配筋構造配筋構造配筋構造配筋構造配筋配筋情況8@2008@2008@200NV0.3fcA計算值0.2cfcbh0RE

四層五層六層NmaxVmaxNmaxVmaxNmaxVmax1396.4101396.410900.700900.700447.450447.450118.140118.14089.49089.49061.53061.5302.6552.6552.6552.6552.6552.6551029.0001029.0001029.0001029.0001029.0001029.0001029.0001029.000900.700900.700447.450447.450760.424760.424760.424760.424760.424760.4241 1.75RE 1

ftbh0 0.07NASV

266.792 266.792 256.226 256.226 218.899 218.899構造配筋 構造配筋 構造配筋 構造配筋 構造配筋 構造配筋配筋情況

8@2008@2008@200表2柱子正截面配筋計算第一層柱子配筋計算表桿件CDEFM35.0934.65119.52-62.30-21.35-21.09208.57-243.3921.3521.09243.39-208.57-35.09-34.6562.30-119.52M29.7729.40260.64-212.10-21.82-21.54258.40-293.9721.8221.54293.97-258.40-29.77-29.40212.10-260.64N1855.811924.641913.331359.562587.132642.093034.321418.102587.132642.093034.321418.101855.811924.641913.331359.56M1M2cCmlolo/hnsCmns

29.7729.40119.52-62.30-21.35-21.09208.57-243.3921.3521.09243.39-208.57-29.77-29.4062.30-119.5235.0934.65260.64-212.10-21.82-21.54258.40-293.9721.8221.54293.97-258.40-35.09-34.65212.10-260.640.920.890.901.000.660.650.571.000.660.650.571.000.920.890.901.000.700.700.700.700.700.700.700.700.700.700.700.700.700.700.700.703.603.603.603.603.603.603.603.603.603.603.603.603.603.603.603.606.006.006.006.006.006.006.006.006.006.006.006.006.006.006.006.001.371.371.091.091.361.361.081.071.361.361.081.081.371.371.111.071.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00M35.0934.65260.64-212.10-21.82-21.54258.40-293.9721.8221.54293.97-258.40-35.09-34.65212.10-260.64Nb1674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.07偏心小小小大小小小大小小小大小小小大情況e018.9118.00136.22156.018.438.1585.16207.308.438.1596.88182.2218.9118.00110.85191.71e0/h00.030.030.240.280.010.010.150.370.010.010.170.320.030.030.200.34ei38.9138.00156.22176.0128.4328.15105.16227.3028.4328.15116.88202.2240.5838.00130.85211.71e303.91303.00421.22441.01293.43293.15370.16492.30293.43293.15381.88467.22330.58303.00395.85476.710.620.650.590.420.820.820.770.440.820.820.760.440.610.650.600.42Asmin1680.001680.001680.001680.001440.001440.001440.001440.001440.001440.001440.001440.001680.001680.001680.001680.00計算-1735.5-1757.9-597.46-665.19-1441.0-1389.7187.20-350.82-1441.0-1389.7359.91-499.96-1467.0-1757.9-830.47-461.67As配置1680.001680.001680.001680.001440.001440.001440.001440.001440.001440.001440.001440.001680.001680.001680.001680.00As實際6A20(1884)6A20(1884)6A20(1884)6A20(1884)配筋2層桿件CDEFM34.6634.23185.95-129.43-19.65-19.41241.29-273.3319.6519.41273.33-241.29-34.66-34.23129.43-185.95M34.4233.99185.75-129.63-19.21-18.97241.65-272.9719.2118.97272.97-241.65-34.42-33.99129.63-185.75N1558.501617.981594.531158.562162.802209.982475.571249.902162.752209.922475.521249.861558.501617.981594.531158.56M134.4233.99185.75-129.43-19.21-18.97241.29-272.9719.2118.97272.97-241.29-34.42-33.99129.43-185.75M234.6634.23185.95-129.63-19.65-19.41241.65-273.3319.6519.41273.33-241.65-34.66-34.23129.63-185.95c1.001.001.001.000.790.780.691.000.790.780.691.001.001.001.001.00Cm0.700.700.700.700.700.700.700.700.700.700.700.700.700.700.700.70lo3.603.603.603.603.603.603.603.603.603.603.603.603.603.603.603.60lo/h6.006.006.006.006.006.006.006.006.006.006.006.006.006.006.006.00ns1.371.381.111.121.431.421.091.071.431.421.081.071.371.381.151.09Cmns1.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00M 34.66 34.23 185.95 -129.63 -19.65 -19.41 241.65 -273.33 19.65 19.41 273.33 -241.65 -34.66 -34.23 129.63 -185.95Nb1674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.07偏心情大大大大小小小大小小小大大大大大況e022.2421.16116.62111.899.098.7897.61218.689.098.78110.41193.3422.2421.1681.30160.50e0/h00.040.040.210.200.020.020.170.390.020.020.200.340.040.040.140.28ei42.2441.16136.62131.8929.0928.78117.61238.6829.0928.78130.41213.3443.9141.16101.30180.50e307.24306.16401.62396.89294.09293.78382.61503.68294.09293.78395.41478.34333.91306.16366.30445.500.480.500.490.360.740.750.700.390.740.750.700.390.480.500.490.36Asmin1680.001680.001680.001680.001440.001440.001440.001440.001440.001440.001440.001440.001680.001680.001680.001680.00計算As-1494.5-1514.8-871.84-887.84-1786.5-1760.7-393.53-345.87-1786.6-1760.7-235.72-478.68-1320.3-1514.8-1107.9-651.70998317199配置As1680.001680.001680.001680.001440.001440.001440.001440.001440.001440.001440.001440.001680.001680.001680.001680.00實際配6A20(1884)6A20(1884)6A20(1884)6A20(1884)筋3層桿件CDEFM34.6634.23201.72-145.20-19.65-19.41216.63-248.6719.6519.41248.67-216.63-34.66-34.23145.20-201.72M34.6634.23156.58-100.06-19.65-19.41216.63-248.6719.6519.41248.67-216.63-34.66-34.23100.06-156.58N1261.191311.341269.77963.541738.611778.031917.501081.311738.611778.031917.501081.311228.521278.101138.061039.34M134.6634.23156.58-100.06-19.65-19.41216.63-248.6719.6519.41248.67-216.631261.191311.341269.77963.54M234.6634.23201.72-145.20-19.65-19.41216.63-248.6719.6519.41248.67-216.63-34.66-34.23145.20-201.72c1.001.001.001.000.990.970.891.000.990.970.891.001.001.001.001.00Cm0.700.700.700.700.700.700.700.700.700.700.700.7011.6212.190.702.13lo3.603.603.603.603.603.603.603.603.603.603.603.603.603.603.603.60lo/h6.006.006.006.006.006.006.006.006.006.006.006.006.006.006.006.00ns1.331.341.091.091.491.491.111.061.491.491.091.071.321.331.111.07Cmns1.001.001.001.001.051.041.001.001.051.041.001.0015.3916.271.002.29M34.6634.23201.72-145.20-20.54-20.22216.63-248.6720.5420.22248.67-216.63-533.28-556.95145.20-461.71Nb1674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.07偏心情大大大大小小小大小小小大大大大大況e027.4826.10158.86150.6911.8111.37112.98229.9711.8111.37129.68200.34434.08435.76127.59444.24e0/h00.050.050.280.270.020.020.200.410.020.020.230.350.770.770.230.79ei47.4846.10178.86170.6931.8131.37132.98249.9731.8131.37149.68220.34455.75455.76147.59464.24e312.48311.10443.86435.69296.81296.37397.98514.97296.81296.37414.68485.34745.75720.76412.59729.240.390.410.390.300.560.590.600.330.560.590.590.330.380.400.350.32Asmin1680.001680.001680.001680.001440.001440.001440.001440.001440.001440.001440.001440.001680.001680.001680.001680.00計算As-1353.5-1384.8-658.28-667.71-1707.9-1759.8-807.95-331.55-1707.9-1759.8-653.70-465.89894.92826.16-807.92595.06412121配置As1680.001680.001680.001680.001440.001440.001440.001440.001440.001440.001440.001440.001680.001680.001680.001680.00實際配6A20(1884)6A20(1884)6A20(1884)6A20(1884)筋4層桿件CDEFM34.6634.23160.16-103.64-19.65-19.41191.37-223.4119.6519.41223.41-191.37-34.66-34.23103.64-160.16M34.6634.23136.16-79.64-19.65-19.41167.89-199.9319.6519.41199.93-167.89-34.66-34.2379.64-136.16N963.881004.70948.95764.581314.821346.531396.41929.091314.821346.531396.41876.54963.881004.70948.95764.58M134.6634.23136.16-79.64-19.65-19.41167.89-199.9319.6519.41199.93-167.89-34.66-34.2379.64-136.16M234.6634.23160.16-103.64-19.65-19.41191.37-223.4119.6519.41223.41-191.37-34.66-34.23103.64-160.16c1.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00Cm0.700.700.700.700.700.700.700.700.700.700.700.700.700.700.700.70lo3.603.603.603.603.603.603.603.603.603.603.603.603.603.603.603.60lo/h6.006.006.006.006.006.006.006.006.006.006.006.006.006.006.006.00ns1.281.291.081.101.451.451.101.061.451.451.091.071.281.291.121.07Cmns1.001.001.001.001.011.021.001.001.011.021.001.001.001.001.001.00M34.6634.23160.16-103.64-19.91-19.76191.37-223.4119.9119.76223.41-191.37-34.66-34.23103.64-160.16Nb1674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.07偏心情大大大大大大大大大大大大大大大大況e035.9634.07168.78135.5515.1514.68137.04240.4615.1514.68159.99218.3235.9634.07109.22209.47e0/h00.060.060.300.240.030.030.240.430.030.030.280.390.060.060.190.37ei55.9654.07188.78155.5535.1534.68157.04260.4635.1534.68179.99238.3257.6354.07129.22229.47e320.96319.07453.78420.55300.15299.68422.04525.46300.15299.68444.99503.32347.63319.07394.22494.470.300.310.290.240.410.420.430.290.410.420.430.270.300.310.290.24Asmin1680.001680.001680.001680.001440.001440.001440.001440.001440.001440.001440.001440.001680.001680.001680.001680.00計算As-1131.4-1168.5-591.99-648.07-1446.8-1464.7-770.67-308.81-1446.8-1464.7-636.33-393.80-1023.7-1168.5-828.98-411.0997070707配置As1680.001680.001680.001680.001440.001440.001440.001440.001440.001440.001440.001440.001680.001680.001680.001680.00實際配6A20(1884)6A20(1884)6A20(1884)6A20(1884)筋5層桿件CDEFM29.6328.97131.36-83.85-18.49-18.16146.01-175.8918.6118.30176.01-145.89-29.63-28.9783.85-131.36M34.6634.2399.99-43.47-19.65-19.41115.67-147.7119.6519.41147.71-115.67-34.66-34.2343.47-99.99N674.99703.95646.92554.04890.84914.81900.70646.00828.66852.31785.29657.08674.99703.95646.92554.04M129.6328.9799.99-43.47-18.49-18.16115.67-147.7118.6118.30147.71-115.67-29.63-28.9743.47-99.99M234.6634.23131.36-83.85-19.65-19.41146.01-175.8919.6519.41176.01-145.89-34.66-34.2383.85-131.36c1.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00Cm0.700.700.700.700.700.700.700.700.700.700.700.700.700.700.700.70lo3.603.603.603.603.603.603.603.603.603.603.603.603.603.603.603.60lo/h6.006.006.006.006.006.006.006.006.006.006.006.006.006.006.006.00ns1.221.231.071.091.371.381.091.051.361.371.061.061.221.231.101.06Cmns1.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00M34.6634.23131.36-83.85-19.65-19.41146.01-175.8919.6519.41176.01-145.89-34.66-34.2383.85-131.36Nb1674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.07偏心情大大大大大大大大大大大大大大大大況e051.3548.63203.05151.3422.0621.22162.11272.2823.7122.77224.13222.0351.3548.63129.61237.09e0/h00.090.090.360.270.040.040.290.480.040.040.400.390.090.090.230.42ei71.3568.63223.05171.3442.0641.22182.11292.2843.7142.77244.13242.0373.0268.63149.61257.09e336.35333.63488.05436.34307.06306.22447.11557.28308.71307.77509.13507.03363.02333.63414.61522.090.210.220.200.170.280.280.280.200.260.260.240.200.210.220.200.17Asmin1680.001680.001680.001680.001440.001440.001440.001440.001440.001440.001440.001440.001680.001680.001680.001680.00計算As-838.14-872.80-400.11-486.37-1127.4-1150.9-606.99-212.32-1066.6-1091.2-366.50-351.07-762.66-872.80-599.32-287.178940配置As1680.001680.001680.001680.001440.001440.001440.001440.001440.001440.001440.001440.001680.001680.001680.001680.00實際配6A20(1884)6A20(1884)6A20(1884)6A20(1884)筋6層桿件CDEFM68.4469.48125.83-9.16-37.65-38.3766.00-130.5937.6538.37130.59-66.00-68.44-69.489.16-125.83M43.7843.7972.780.08-23.68-23.7051.45-90.9023.6823.7