六層建筑框架柱的配筋計(jì)算

1、混凝土強(qiáng)度：梁、柱、板： C30， fc 14.3N/mm2，ft 1.43N /mm2，ftk 2.01N /mm2 箍筋： HRB335，fy 300N/ mm2, fy 300N /mm2鋼筋強(qiáng)度 ： 梁： HRB400， fy 360N /mm2, fy 360N /mm2 柱： HRB400， fy 360N/mm2, fy 360N /mm2 框架柱的配筋計(jì)算 柱的配筋采用對稱式配筋（以利于不同方向風(fēng)荷載的作用） 柱截面 b h 400mm 600mmh0 h 35mm 565mm 1 軸壓比驗(yàn)算Nmax 3034.32KN軸壓比：3034.32 103NN214.3N /mm2

2、400mm 600mm0.884 1.05 滿足要求則柱的軸壓比滿足要求1yEs cu0.8360152.0 105 0.0330.518 2 截面尺寸復(fù)核取 h0 h 35mm 565mmVmax 149.26KN因?yàn)?65mmhw /b400mm1.41 4所以0.25 c fcbh0 0.25 1.0 14.3N /mm2 400mm 565mm 807.95KN 125.61KN 滿足要求。 3 正截面受彎承載力計(jì)算 柱同一截面分別承受正反向彎矩，故采用對稱配筋Nb 1 fcbh0 b 1.0 14.3KN /mm2 400mm 565mm 0.518 1674.7KN取一層柱為例進(jìn)行

3、計(jì)算，如下 :1 層 C 軸柱：選擇下列四種組合形式M 1 35.09KN m1.2 恒+1.4 活 M 2 29.77KN mN 1855.81KNM 1 34.65KN m2 29.40KN m1.35 恒+0.7 1.4 活 M1924.64KN1.2 （恒 +0.5 活）+1.3左震M 1 119.52KN mM 2 260.64KN mN 1913.33KN1.2 （恒 +0.5 活）+1.3右震M 1 62.3KN mM 2 212.10 KN mN 1359.56KN因?yàn)檩S壓比：3034.32 103 N2 0.884 0.9 fcAc 14.3N / mm 400mm 600m

4、m則可以不考慮軸向壓力在該方向撓曲桿件中產(chǎn)生的附加彎矩的影響。第一種組合：M 1 35.09KN1.2 恒+1.4 活 M 2 29.77KNN 1855.81KNCm 0.7 0.3 M 1 0.7 0.3M229.770.445 0.7故取 Cm 0.735.09 mea = max 20mm, h 600 20mm a 30 3020mml c 1.25 3600mm 4500mm0.5 fc A cN0.5 14.3 400 600 10 31855.810.92c 1.0c 0.92( c )2 c(4500 )2 0.921nsns1300( M 2 /N ea)/h0 h=1 1

5、300 (35.09 1031/1855.81 20) /565 600=1.37Cm ns =0.7 1.37=0.9591.0Cm ns =1.0M Cm nsM 2=1.0 35.09 KN m =35.09 KN mMe0N335.9 1031855.81mm 18.91mmei e0 ea 18.91 20 38.91mme ei h a 38.91 600 35 303.91mme0 18.91 0.032 2h0 565N 1855.81KN Nb 1674.7KN 屬于小偏心受壓N b 1 fcbh02Ne 0.43 1 fcbh0 ( 1 b() h0 as)1 fcbh01

6、855.81 103 0.518 1.0 14.3 400 5653 2 0.518 1855.81 103 303.91 0.43 1.0 14.3 400 56521.0 14.3 400 565(0.8 0.518) (565 35)0.620.8Ne 1 fcbh02 (1 0.5 )fy (h0 as)320.8 1855.81 103 303.91 1.0 14.3 400 5652 0.62 (1 0.5 0.62)360 (565 35)2 =-1735.59 mm202邊柱的最小配筋率 min 0.7%Asm i n 0.7% 400 600 1 6 8m0m2按構(gòu)造配筋每側(cè)

7、實(shí)配 3A20( As As 941mm2)第二種組合M 1 34.65KN m1.35 恒+0.7 1.4 活 M2 29.40KN mN 1924.64KNM29.4Cm 0.7-0.3 1 0.7-0.3 0.445 0.7故取 Cm 0.7 M 234.65ea = max 20mm, h 600a 30 3020mm20mmlc 1.25 3600mm 4500mm0.5fc A cN0.5 14.3 400 600 10 31924.640.89c 1.00.89ns 1 1300(M 2 /N ea)/h0(lhc )2 c( 4500 )2 0.89=13 131300 (34

8、.65 103 /1924.64 20) / 565 600=1.37Cm ns =0.7 1.37=0.9591.0Cm ns =1.0M Cm nsM 2=1.0 34.65 KN m =34.65 KN mM e0N334.65 103mm 18.0mmei1924.64e0 ea 18.0 20 38mmh 600e ei 2h a 38 6020 35 303mme0h018.05650.03N 1924.64kN Nb 1674.7kN屬于小偏心受壓N b 1 fcbh02Ne 0.43 1fcbh0 ( 1 b() h0 as)1 fcbh031924.64 103 0.518

9、1.0 14.3 400 565321924.64 103 303 0.43 1.0 14.3 400 5652 (0.8 0.518) (565 35)1.0 14.3 400 5650.5180.650.8Ne 1 fcbh02 (1 0.5 )f y(h0 as)320.8 1924.64 103 303 1.0 14.3 400 5652 0.65 (1 0.5 0.65)360 (565 35)2=-1757.9 mm2按構(gòu)造配筋每側(cè)實(shí)配 3A20(As As 941mm2)第三種組合：M 1 119.52KN m1.2(恒 +0.5 活) +1.3 左震 M 2 260.64KN

10、mN 1913.33KNCm 0.7 0.3M1M2119.520.7 0.3 0.562 0.7故取 Cm 0.7260.64 mhea =max 20mm,30600 20mm3020mmlc 1.25 3600mm 4500mm0.5fc AcN0.5 14.3 400 600 10 31913.330.9c 1.0c 0.9ns 1ns 1300( M 2 /N ea)/h0 h( c )2 c1=1 1300 (260.64 103 /1913.33 20)/565(45002)2 0.9600=1.09Cm ns =0.7 1.09=0.7631.0Cm ns =1.0M Cm n

11、sM2 =1.0 260.64 KN m=260.64 KNMe0N3206.64 103mm 136.32mm1913.33eie0ea 136.32 20 156.32mme ei h a 156.32 600 35 421.32mm i 2 2e0 136.32 0.24h0565N 1913.33KN Nb 1674.7KN屬于小偏心受壓N b 1 fcbh02Ne 0.43 1fcbh02f bh1 c 01 fcbh0( 1 b() h0 as)0.5181913.33 103 0.518 1.0 14.3 400 565(0.8 0.518) (565 35)1913.33 10

12、3 421.32 0.43 1.0 14.3 400 5652 1.0 14.3 400 5650.592A A 0.8Ne 1 fcbh02 (1 0.5 ) AS ASfy (h0 as)0.8 1913.33 103 421.32 1.0 14.3 400 5652 0.59 (1 0.5 0.59)360 (565 35)=-597.46 mm2按構(gòu)造配筋2每側(cè)實(shí)配 3A20(As As 941mm2)第四種組合：M 1 62.3KN m1.2(恒 +0.5 活) +1.3 右震 M 2 212.10KN mN 1359.56KNM29.4Cm 0.7-0.3 1 0.7-0.3 0.

13、445 0.7故取 Cm 0.7 M 234.65h 600ea =max 20mm, 20mm 20mm a 30 30lc 1.25 3600mm 4500mm0.5fc A 0.5 14.3 400 600 10 3 c cN1.261359.56c 1.0 c 1.0ns 1 1300(M2 /1Nea)/h0 (lhc)2 c11 1300 (212.1 103 /1359.56 20) / 565 600(4500)2 1.0=1.09Cm ns =0.7 1.09=0.7631.0Cm ns =1.0M Cm nsM 2 =1.0 212.1 KN m =212.1 KN mM

14、212.1 10 e0 N 1924.643mm 156.01mmei e0 ea 156.01 20 176.01mmhe ei h a 176.012600 35 441.01mm e0 441.01 0.282 h0 565N 1359.56KN Nb1674.7KN屬于大偏心受壓N 1359.56 1000fcbh0 14.3 400 5650.42A A 0.8Ne 1fcbh02 (1 0.5 )AS ASf y(h0 as)0.8 1359.56 103 441.01 1.0 14.3 400 5652 0.42 (1 0.5 0.42)360 (565 35)=-665.19

15、mm2按構(gòu)造配筋每側(cè)實(shí)配 3A20(As As 941mm2) 4 正截面承載力驗(yàn)算l0 /b 4.5m / 0.4m 11.25 ，查表得0.96N 0.9 ( fcA f yAs)2 2 2 20.9 0.96 (14.3N /mm2 400 600mm2 360N /mm2 941m m2 2) 3550.62KN Nmax 3034.32KN滿足要求。 5 斜截面受剪承載力計(jì)算以每層中剪力 V 最大時(shí)對應(yīng)的軸力 N 的組合和每層中 N 最大時(shí)對應(yīng)的 剪力 V 組合進(jìn)行受剪承載力計(jì)算，并采用最大值作為該層柱的箍筋計(jì)算。 以第一層為例：由以上柱的內(nèi)力組合表可得 V 最大和 N 最大時(shí)同一種

16、組合V 150.46KN mN 3034.32KNhw565b 4001.41 4VccV 1.2 150.46KN 180.552KNRE0.20 cfcbh01 0.20 1.0 14.3 400 565 10 30.85760.424KN1Vc0.20 c fcbh0 760.424KNRE剪跨比：H n 3.6m 0.6m 2.655 3，取2.6552h0 2 0.565m因?yàn)?0.3fcA 0.3 14.3N /mm2 400 600mm2 1029.6KN N 所以 N 1029.6KN1.75 Vftbh0 0.07NAsv1.0 t 0sf yvh03 1.75 2 2 31

17、80.552 103N1.43N / mm2 400 565mm2 0.07 1029.6 103N0.27 02.655 12300N/ mm2 565mm0.7ftbh0 0.7 1.43N /mm2 400 565mm2 226.23KN Vc 180.552KN 所以按構(gòu)造配筋，實(shí)配箍筋B8200 。 6 裂縫寬度驗(yàn)算規(guī)范規(guī)定對于 e0 /h0 0.55的構(gòu)建可以不進(jìn)行裂縫寬度驗(yàn)算 由前面計(jì)算可知：第一組內(nèi)力： e0 /h0 0.03 0.55第二組內(nèi)力： e0 /h0 0.03 0.55第三組內(nèi)力： e0 /h0 0.24 0.55 第四組內(nèi)力： e0 /h0 0.28 0.55 所

18、以不需要進(jìn)行柱的裂縫寬度驗(yàn)算。 其他柱的計(jì)算過程與上述計(jì)算過程相同，在此不一一進(jìn)行計(jì)算。 各層柱的配筋表格如下：表 1 柱子斜截面配筋計(jì)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(jì)算值1029.0001029.0001029

19、.0001029.0001029.0001029.0000.2 c fcbh0RE760.424760.424760.424760.424760.424760.4241 1.751 1.75 ftbh0 0.07NRE 1 t 0266.792266.792266.792266.792266.792266.792ASV構(gòu)造配筋構(gòu)造配筋構(gòu)造配筋構(gòu)造配筋構(gòu)造配筋構(gòu)造配筋配筋情況820082008200四層五層六層NmaxVmaxNmaxVmaxNmaxVmaxN1396.4101396.410900.700900.700447.450447.450V118.140118.14089.49089.4

20、9061.53061.5302.6552.6552.6552.6552.6552.6550.3fcA1029.0001029.0001029.0001029.0001029.0001029.000N 計(jì)算值1029.0001029.000900.700900.700447.450447.4500.2 c fcbh0RE760.424760.424760.424760.424760.424760.4241 1.751 1.75 ftbh0 0.07NRE 1 t 0266.792266.792256.226256.226218.899218.899ASV構(gòu)造配筋構(gòu)造配筋構(gòu)造配筋構(gòu)造配筋構(gòu)造配筋構(gòu)

21、造配筋配筋情況820082008200表 2 柱子正截面配筋計(jì)算第一層柱子配筋計(jì)算表?xiàng)U件CDEFM35.0934.65119.52-62.30-21.35-21.09208.57-243.3921.3521.09243.39-208.57-35.09-34.6562.30-119.52M29.7729.40260.64-212.10-21.82-21.54258.40-293.9721.8221.54293.97-258.40-29.77-29.40212.10-260.64N1855.811924.641913.331359.562587.132642.093034.321418.10258

22、7.132642.093034.321418.101855.811924.641913.331359.56M129.7729.40119.52-62.30-21.35-21.09208.57-243.3921.3521.09243.39-208.57-29.77-29.4062.30-119.52M235.0934.65260.64-212.10-21.82-21.54258.40-293.9721.8221.54293.97-258.40-35.09-34.65212.10-260.64c0.920.890.901.000.660.650.571.000.660.650.571.000.92

23、0.890.901.00Cm0.700.700.700.700.700.700.700.700.700.700.700.700.700.700.700.70lo3.603.603.603.603.603.603.603.603.603.603.603.603.603.603.603.60lo/h6.006.006.006.006.006.006.006.006.006.006.006.006.006.006.006.00ns1.371.371.091.091.361.361.081.071.361.361.081.081.371.371.111.07Cm ns1.001.001.001.001

24、.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 情況小小小大小小小大小小小大小小小大e018.9118.00136.22156

25、.018.438.1585.16207.308.438.1596.88182.2218.9118.00110.85191.71e0/h00.030.030.240.280.010.010.150.370.010.010.170.320.030.030.200.34ei38.9138.00156.22176.0128.4328.15105.16227.3028.4328.15116.88202.2240.5838.00130.85211.71e303.91303.00421.22441.01293.43293.15370.16492.30293.43293.15381.88467.22330.5

26、8303.00395.85476.710.620.650.590.420.820.820.770.440.820.820.760.440.610.650.600.42Asmin1680.001680.001680.001680.001440.001440.001440.001440.001440.001440.001440.001440.001680.001680.001680.001680.00計(jì)算 As-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.

27、9-830.47-461.67配置 As1680.001680.001680.001680.001440.001440.001440.001440.001440.001440.001440.001440.001680.001680.001680.001680.00實(shí)際 配筋6A20(1884)6A20(1884)6A20(1884)6A20(1884)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-

28、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.

29、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/h6.006.006.0

30、06.006.006.006.006.006.006.006.006.006.006.006.006.00ns1.371.381.111.121.431.421.091.071.431.421.081.071.371.381.151.09Cm ns m ns1.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00M34.6634.23185.95-129.63-19.65-19.41241.65-273.3319.6519.41273.33-241.65-34.66-34.23129.63-185.95Nb1674.071

31、674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.07偏心情 況大大大大小小小大小小小大大大大大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.

32、8929.0928.78117.61238.6829.0928.78130.41213.3443.9141.16101.30180.50e307.24306.16401.62396.89294.09293.78382.61503.68294.09293.78395.41478.34333.91306.16366.30445.500.480.500.490.360.740.750.700.390.740.750.700.390.480.500.490.36Asmin1680.001680.001680.001680.001440.001440.001440.001440.001440.00144

33、0.001440.001440.001680.001680.001680.001680.00計(jì)算 As-1494.59-1514.89-871.84-887.84-1786.58-1760.73-393.53-345.87-1786.61-1760.77-235.72-478.68-1320.31-1514.89-1107.99-651.70配置 As1680.001680.001680.001680.001440.001440.001440.001440.001440.001440.001440.001440.001680.001680.001680.001680.00實(shí)際配 筋6A20(1

34、884)6A20(1884)6A20(1884)6A20(1884)3層桿件CDEFM34.6634.23201.72-145.20-19.65-19.41216.63-248.6719.6519.41248.67-216.63-34.66-34.23145.20-201.72M34.6634.23156.58-100.06-19.65-19.41216.63-248.6719.6519.41248.67-216.63-34.66-34.23100.06-156.58N1261.191311.341269.77963.541738.611778.031917.501081.311738.611

35、778.031917.501081.311228.521278.101138.061039.34M134.6634.23156.58-100.06-19.65-19.41216.63-248.6719.6519.41248.67-216.631261.191311.341269.77963.54M234.6634.23201.72-145.20-19.65-19.41216.63-248.6719.6519.41248.67-216.63-34.66-34.23145.20-201.72c1.001.001.001.000.990.970.891.000.990.970.891.001.001

36、.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/h6.006.006.006.006.006.006.006.006.006.006.006.006.006.006.006.00ns1.331.341.091.091.491.491.111.061.491.491.091.071.321.331.111.07Cm ns1.001.001.001.00

37、1.051.041.001.001.051.041.001.0015.3916.271.002.29M34.6634.23201.72-145.20-20.54-20.22216.63-248.6720.5420.22248.67-216.63-533.28-556.95145.20-461.71Nb1674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.07偏心情 況大大大大小小小大小小小大大大大大e027.4826.10158.

38、86150.6911.8111.37112.98229.9711.8111.37129.68200.34434.08435.76127.59444.24e0/h00.050.050.280.270.020.020.200.410.020.020.230.350.770.770.230.79ei47.4846.10178.86170.6931.8131.37132.98249.9731.8131.37149.68220.34455.75455.76147.59464.24e312.48311.10443.86435.69296.81296.37397.98514.97296.81296.3741

39、4.68485.34745.75720.76412.59729.240.390.410.390.300.560.590.600.330.560.590.590.330.380.400.350.32Asmin1680.001680.001680.001680.001440.001440.001440.001440.001440.001440.001440.001440.001680.001680.001680.001680.00計(jì)算 As-1353.54-1384.81-658.28-667.71-1707.92-1759.81-807.95-331.55-1707.92-1759.81-653

40、.70-465.89894.92826.16-807.92595.06配置 As1680.001680.001680.001680.001440.001440.001440.001440.001440.001440.001440.001440.001680.001680.001680.001680.00實(shí)際配筋6A20(1884)6A20(1884)6A20(1884)6A20(1884)4層桿件CDEFM34.6634.23160.16-103.64-19.65-19.41191.37-223.4119.6519.41223.41-191.37-34.66-34.23103.64-160.1

41、6M34.6634.23136.16-79.64-19.65-19.41167.89-199.9319.6519.41199.93-167.89-34.66-34.2379.64-136.16N963.881004.70948.95764.581314.821346.531396.41929.091314.821346.531396.41876.54963.881004.70948.95764.58M134.6634.23136.16-79.64-19.65-19.41167.89-199.9319.6519.41199.93-167.89-34.66-34.2379.64-136.16M23

42、4.6634.23160.16-103.64-19.65-19.41191.37-223.4119.6519.41223.41-191.37-34.66-34.23103.64-160.16c1.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00Cm0.700.700.700.700.700.700.700.700.700.700.700.700.700.700.700.70lo3.603.603.603.603.603.603.603.603.603.603.603.603.603.603.603.60lo/h6.00

43、6.006.006.006.006.006.006.006.006.006.006.006.006.006.006.00ns1.281.291.081.101.451.451.101.061.451.451.091.071.281.291.121.07Cm ns m ns1.001.001.001.001.011.021.001.001.011.021.001.001.001.001.001.00M34.6634.23160.16-103.64-19.91-19.76191.37-223.4119.9119.76223.41-191.37-34.66-34.23103.64-160.16Nb1

44、674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.071674.07偏心情 況大大大大大大大大大大大大大大大大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

45、.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(jì)算 As-1131.49-1168.57-591.99-648.07-144