柱内力组合表 表6.2 层 柱 截 内 ① 位 面 力 SGK M 61.3 上 N 115.4 V 32 A M -44.4 下 N 136 V 32 八 M -53.7 上 N 150.8 V -28.3 B M 39.7 下 N 171.4 V -28.3 M 36.4 上 N 285.2 V 23 A M -39.6 下 N 305.8 V 23 七 M -35.3 上 N 346.6 V -21.8 B M 36.8 下 N 367.2 V -21.8 ② ③ SQK SWK 19.3 ?3.7 28.2 ?1.0 9.8 ?1.5 -13.2 ±1.4 28.2 ?1.0 9.8 ?1.5 -16.5 ?4.7 42.1 ?0.7 -8.4 ?2.2 9.4 ±2.5 42.1 ?0.7 -8.4 ?2.2 10.2 ?6.3 56.8 ?3.1 6.5 ?3.1 -11.4 ±3.8 56.8 ?3.1 6.5 ?3.1 -11.3 ?8.6 83.9 ?2.7 -5.9 ?4.3 10 ±5.7 83.9 ?2.7 -5.9 ?4.3 ④ SQE 71 129.5 36.9 -51 150.1 36.9 -62 171.9 -32.5 44.4 192.5 -32.5 41.5 313.6 26.3 -45.3 334.2 26.3 -41 388.6 -24.8 41.8 409.2 -24.8 ⑤ SEhK ?33.2 ?8.6 ?13.8 ±12.5 ?8.6 ?13.8 ?42.4 ?6.9 ?19.8 ±22.9 ?6.9 ?19.8 ?52.3 ?26.4 ?25.3 ±31.2 ?26.4 ?25.3 ?71.5 ?14.1 ?36.1 ±47.7 ?14.1 ?36.1 1.35①+1.4×0.7② |Mmax| Nmax Nmin 101.7 101.7 82.8 183.4 183.4 155.8 52.8 52.8 43.2 -72.9 -72.9 -59.9 211.2 211.2 183.6 52.8 52.8 43.2 -88.7 -88.7 -72.5 244.8 244.8 203.6 -46.4 -46.4 -38.2 62.8 62.8 53.6 272.6 272.6 231.4 -46.4 -46.4 -38.2 59.1 59.1 49.1 440.7 440.7 385 37.4 37.4 31.1 -64.6 -64.6 -53.5 468.5 468.5 412.8 37.4 37.4 31.1 -58.7 -58.7 -47.7 550.1 550.1 467.9 -35.2 -35.2 -29.4 59.5 59.5 49.7 577.9 577.9 495.7 -35.2 -35.2 -29.4 36
1.2①+1.4(②+0.6③) |Mmax| Nmax Nmin 103.7 103.7 70.5 178.8 178.8 137.6 53.4 53.4 37.1 -72.9 -72.9 -52.1 203.5 203.5 162.4 53.4 53.4 37.1 -91.5 -83.6 -68.4 239.3 240.5 180.4 -47.6 -43.9 -35.8 62.9 58.7 49.7 264 265.2 205.1 -47.6 -43.9 -35.8 63.3 63.3 38.4 424.4 424.4 339.6 39.3 39.3 25 -66.7 -66.7 -44.3 449.1 449.1 364.4 39.3 39.3 25 -65.4 -51 -49.6 531.1 535.6 413.7 -38 -30.8 -29.8 62.9 53.4 48.9 555.8 560.4 438.4 -38 -30.8 -29.8 1.2①+1.4(0.7②+③) |Mmax| Nmax Nmin 97.7 97.7 68.4 167.5 167.5 137.1 50.1 50.1 36.3 -68.2 -68.2 -51.3 192.2 192.2 161.8 50.1 50.1 36.3 -87.2 -74 -71 221.2 223.2 180 -45.3 -39.1 -37 60.4 53.4 51.1 246 247.9 204.7 -45.3 -39.1 -37 62.5 62.5 34.9 402.2 402.2 337.9 38.3 38.3 23.3 -64 -64 -42.2 427 427 362.6 38.3 38.3 23.3 -65.5 -41.4 -54.4 494.4 501.9 412.1 -38 -25.9 -32.2 61.9 46 52.1 519.1 526.6 436.9 -38 -25.9 -32.2 1.2④+1.3⑤ |Mmax| Nmax Nmin 128.3 128.3 42 166.6 166.6 144.2 62.2 62.2 26.3 -77.5 -77.5 -45 191.3 191.3 168.9 62.2 62.2 26.3 -129.5 -19.2 -129.5 197.3 215.2 197.3 -64.7 -13.3 -64.7 83.1 23.5 83.1 222 239.9 222 -64.7 -13.3 -64.7 117.8 117.8 -18.2 410.6 410.6 342 64.4 64.4 -1.4 -94.9 -94.9 -13.8 435.4 435.4 366.7 -1.4 -1.4 64.4 -142.1 43.8 -142.1 447.9 484.6 447.9 -76.6 17.2 -76.6 112.2 -11.9 112.2 472.7 509.3 472.7 -76.6 17.2 -76.6
层 柱 截 内 ① 位 面 力 SGK M 39.6 上 N 454.9 V 24 A M -39.6 下 N 475.5 V 24 六 M -36.8 上 N 542.5 V -22.3 B M 36.8 下 N 563.2 V -22.3 M 39.6 上 N 624.5 V 24 A M -39.6 下 N 645.1 V 24 五 M -36.8 上 N 738.5 V -22.3 B M 36.8 下 N 759.1 V -22.3 ② ③ ④ SQK SWK SQE 11.4 ?8.4 45.3 85.2 ?6.4 497.5 6.9 ?4.4 27.5 -11.4 ±6.2 -45.3 85.2 ?6.4 518.1 6.9 ?4.4 27.5 -10 ?11.4 -41.8 125.8 ?5.7 605.4 -6.1 ?6.3 -25.4 10 ±9.3 41.8 125.8 ?5.7 626.1 -6.1 ?6.3 -25.4 11.4 ?10.1 45.3 113.7 ?10.9 681.4 6.9 ?5.6 27.5 -11.4 ±8.3 -45.3 113.7 ?10.9 702 6.9 ?5.6 27.5 -10 ?14.4 -41.8 167.7 ?9.9 822.4 -6.1 ?7.9 -25.4 10 ±11.8 41.8 167.7 ?9.9 843 -6.1 ?7.9 -25.4 ⑤ SEhK ?67.0 ?53.0 ?35.2 ±49.3 ?53.0 ?35.2 ?91.2 ?38.4 ?50.3 ±74.7 ?38.4 ?50.3 ?79.2 ?88.4 ?43.6 ±64.8 ?88.4 ?43.6 ?113.0 ?71.8 ?62.2 ±92.4 ?71.8 ?62.2 1.35①+1.4×0.7② |Mmax| Nmax Nmin 64.6 64.6 53.5 697.6 697.6 614.1 39.2 39.2 32.4 -64.6 -64.6 -53.5 725.4 725.4 641.9 39.2 39.2 32.4 -59.5 -59.5 -49.7 855.7 855.7 732.4 -36.1 -36.1 -30.1 59.5 59.5 49.7 883.6 883.6 760.3 -36.1 -36.1 -30.1 64.6 64.6 53.5 954.5 954.5 843.1 39.2 39.2 32.4 -64.6 -64.6 -53.5 982.3 982.3 870.9 39.2 39.2 32.4 -59.5 -59.5 -49.7 1161.3 1161.3 997 -36.1 -36.1 -30.1 59.5 59.5 49.7 1189.1 1189.1 1024.8 -36.1 -36.1 -30.1 37
1.2①+1.4(②+0.6③) |Mmax| Nmax Nmin 70.5 70.5 40.5 670.5 670.5 540.5 42.2 42.2 25.1 -68.7 -68.7 -42.3 695.3 695.3 565.2 42.2 42.2 25.1 -67.7 -48.6 -53.7 822.3 831.9 646.2 -40.6 -30 -32.1 66 50.3 52 847.2 856.7 671.1 -40.6 -30 -32.1 72 72 39 917.7 917.7 740.2 43.2 43.2 24.1 -70.5 -70.5 -40.5 942.5 942.5 765 43.2 43.2 24.1 -70.3 -46.1 -56.3 1112.7 1129.3 877.9 -41.9 -28.7 -33.4 68.1 48.2 54.1 1137.4 1154 902.6 -41.9 -28.7 -33.4 1.2①+1.4(0.7②+③) 1.2④+1.3⑤ |Mmax| Nmax Nmin |Mmax| Nmax Nmin 70.5 70.5 35.8 141.5 141.5 -32.7 638.3 638.3 536.9 665.9 665.9 528.1 41.7 41.7 22.6 78.7 78.7 -12.8 -67.4 -67.4 -38.8 -118.5 -118.5 9.7 663.1 663.1 561.6 690.6 690.6 552.8 41.7 41.7 22.6 78.7 78.7 -12.8 -69.9 -38 -60.1 -168.7 68.4 -168.7 766.3 782.3 643 676.6 776.4 676.6 -41.6 -23.9 -35.6 -95.8 35 -95.8 67 40.9 57.2 147.3 -47 147.3 791.1 807.1 667.9 701.4 801.2 701.4 -41.6 -23.9 -35.6 -95.8 35 -95.8 72.8 72.8 33.4 157.3 157.3 -48.6 876.1 876.1 734.1 932.5 932.5 702.7 43.4 43.4 21 89.6 89.6 -23.7 -70.3 -70.3 -35.9 -138.6 -138.6 29.9 900.8 900.8 758.9 957.3 957.3 727.4 43.4 43.4 21 89.6 89.6 -23.7 -74.1 -33.8 -64.3 -197.1 96.7 -197.1 1036.7 1064.4 872.3 893.5 1080.2 893.5 -43.8 -21.7 -37.8 -111.3 50.4 -111.3 70.5 37.4 60.7 170.3 -70 170.3 1061.4 1089.1 897.1 918.2 1104.9 918.2 -43.8 -21.7 -37.8 -111.3 50.4 -111.3
② ③ ④ ⑤ 1.35①+1.4×0.7② 1.2①+1.4(②+0.6③) 1.2①+1.4(0.7②+③) 1.2④+1.3⑤ 层 柱 截 内 ① 位 面 力 SGK SQK SWK SQE SEhK |Mmax| Nmax Nmin |Mmax| Nmax Nmin |Mmax| Nmax Nmin |Mmax| Nmax Nmin M 39.6 11.4 ?12.0 45.3 ?91.5 64.6 64.6 53.5 73.6 73.6 37.4 75.5 75.5 30.7 173.3 173.3 -64.6 上 N 794.2 142.2 ?16.3 865.3 ?129.9 1211.5 1211.5 1072.2 1165.8 1165.8 939.3 1115.2 1115.2 930.2 1207.2 1207.2 869.5 V 24 6.9 ?6.6 27.5 ?50.4 39.2 39.2 32.4 44 44 23.3 44.8 44.8 19.6 98.5 98.5 -32.6 A M -39.6 -11.4 ±9.8 -45.3 ±74.8 -64.6 -64.6 -53.5 -71.7 -71.7 -39.3 -72.4 -72.4 -33.8 -151.6 -151.6 42.9 下 N 814.8 142.2 ?16.3 885.9 ?129.9 1239.3 1239.3 1100 1190.5 1190.5 964.1 1139.9 1139.9 954.9 1232 1232 894.2 V 24 6.9 ?6.6 27.5 ?50.4 39.2 39.2 32.4 44 44 23.3 44.8 44.8 19.6 98.5 98.5 -32.6 四 M -36.8 -10 ?15.6 -41.8 ?118.7 -59.5 -59.5 -49.7 -71.3 -45.1 -57.3 -75.8 -32.1 -66 -204.5 104.2 -204.5 上 N 934.4 209.6 ?14.5 1039.2 ?103.6 1466.8 1466.8 1261.4 1402.5 1426.9 1109.1 1306.4 1347 1101 1112.4 1381.7 1112.4 V -22.3 -6.1 ?9.5 -25.4 ?71.9 -36.1 -36.1 -30.1 -43.3 -27.3 -34.7 -46 -19.4 -40.1 -123.9 63.1 -123.9 B M 36.8 10 ±15.6 41.8 ±118.7 59.5 59.5 49.7 71.3 45.1 57.3 75.8 32.1 66 204.5 -104.2 204.5 下 N 955 209.6 ?14.5 1059.8 ?103.6 1494.7 1494.7 1289.3 1427.3 1451.6 1133.8 1331.1 1371.7 1125.7 1137.1 1406.4 1137.1 V -22.3 -6.1 ?9.5 -25.4 ?71.9 -36.1 -36.1 -30.1 -43.3 -27.3 -34.7 -46 -19.4 -40.1 -123.9 63.1 -123.9 M 39.6 11.4 ?12.5 45.3 ?91.8 64.6 64.6 53.5 74 74 37 76.2 76.2 30 173.7 173.7 -65 上 N 963.9 170.7 ?22.5 1049.3 ?176.3 1468.6 1468.6 1301.3 1414.6 1414.6 1137.8 1355.5 1355.5 1125.2 1488.3 1488.3 1029.9 V 23.7 6.8 ?7.6 27.1 ?55.6 38.7 38.7 32 44.3 44.3 22.1 45.7 45.7 17.8 104.8 104.8 -39.8 A M -38.7 -11.1 ±17.8 -44.3 ±91.8 -63.1 -63.1 -52.2 -76.9 -76.9 -31.5 -82.2 -82.2 -21.5 -172.4 -172.4 66.2 下 N 984.5 170.7 ?20.5 1069.9 ?176.3 1496.4 1496.4 1329.1 1437.6 1437.6 1164.2 1377.4 1377.4 1152.7 1513 1513 1054.6 V 23.7 6.8 ?10.8 27.1 ?55.6 38.7 38.7 32 47 47 19.4 50.2 50.2 13.3 104.8 104.8 -39.8 三 M -36.8 -10 ?17.8 -41.8 ?131.0 -59.5 -59.5 -49.7 -73.1 -43.2 -59.1 -78.9 -29 -69.1 -220.5 120.1 -220.5 上 N 1130.3 251.4 ?20.5 1256 ?148.6 1772.3 1772.3 1525.9 1691.1 1725.5 1339.1 1574 1631.4 1327.7 1314 1700.4 1314 V -22.2 -6.1 ?10.8 -25.3 ?79.4 -35.9 -35.9 -30 -44.3 -26.1 -35.7 -47.7 -17.5 -41.8 -133.5 72.9 -133.5 B M 36.4 10 ±17.8 41.4 ±131.0 58.9 58.9 49.1 72.6 42.7 58.6 78.4 28.6 68.6 220 -120.6 220 下 N 1150.9 251.4 ?20.5 1276.6 ?148.6 1800.1 1800.1 1553.7 1715.8 1750.3 1363.9 1598.8 1656.2 1352.4 1338.7 1725.1 1338.7 V -22.2 6.1 ?10.8 -19.2 ?79.4 -24 -24 -30 -27.2 -9 -35.7 -35.8 -5.5 -41.8 -126.2 80.2 -126.2
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② ③ ④ ⑤ 1.35①+1.4×0.7② 1.2①+1.4(②+0.6③) 1.2①+1.4(0.7②+③) 1.2④+1.3⑤ 层 柱 截 内 ① 位 面 力 SGK SQK SWK SQE SEhK |Mmax| Nmax Nmin |Mmax| Nmax Nmin |Mmax| Nmax Nmin |Mmax| Nmax Nmin M 40.9 11.7 ?12.5 46.8 ?88.1 66.7 66.7 55.2 76 76 38.6 78 78 31.6 170.6 170.6 -58.4 上 N 1133.5 199.2 ?29.5 1233.1 ?226.5 1725.4 1725.4 1530.2 1663.9 1663.9 1335.4 1596.7 1596.7 1318.9 1774.2 1774.2 1185.3 V 27.6 7.9 ?8.4 31.6 ?59.3 45 45 37.3 51.2 51.2 26.1 52.6 52.6 21.4 115 115 -39.2 A M -50.2 -14.4 ±15.3 -57.4 ±107.6 -81.9 -81.9 -67.8 -93.3 -93.3 -47.4 -95.8 -95.8 -38.8 -208.8 -208.8 71 下 N 1154.1 199.2 ?29.5 1253.7 ?226.5 1753.3 1753.3 1558 1688.6 1688.6 1360.1 1621.4 1621.4 1343.6 1798.9 1798.9 1210 V 27.6 7.9 ?8.4 31.6 ?59.3 45 45 37.3 51.2 51.2 26.1 52.6 52.6 21.4 115 115 -39.2 二 M -37.5 -10 ?19.9 -42.5 ?140.0 -60.4 -60.4 -50.6 -75.7 -42.3 -61.7 -82.7 -26.9 -72.9 -233 131 -233 上 N 1326.2 293.3 ?27.3 1472.9 ?197.6 2077.8 2077.8 1790.4 1979.1 2025 1568.5 1840.7 1917.1 1553.2 1510.5 2024.3 1510.5 V -24.8 -6.7 ?12.1 -28.2 ?84.8 -40 -40 -33.5 -49.3 -29 -39.9 -53.3 -19.4 -46.7 -144 76.5 -144 B M 44.5 12.1 ±19.9 50.6 ±140.0 71.9 71.9 60.1 87.1 53.6 70.1 93.1 37.4 81.3 242.7 -121.3 242.7 下 N 1346.8 293.3 ?27.3 1493.5 ?197.6 2105.6 2105.6 1818.2 2003.8 2049.7 1593.2 1865.4 1941.8 1577.9 1535.3 2049 1535.3 V -24.8 -6.7 ?12.1 -28.2 ?84.8 -40 -40 -33.5 -49.3 -29 -39.9 -53.3 -19.4 -46.7 -144 76.5 -144 M 24.5 7 ?15.4 28 ?100.6 39.9 39.9 33.1 52.1 52.1 16.5 57.8 57.8 7.8 164.4 164.4 -97.2 上 N 1303 227.5 ?37.4 1416.8 ?289.7 1982 1982 1759.1 1913.5 1913.5 1532.2 1838.9 1838.9 1511.2 2076.7 2076.7 1323.5 V 8.4 2.4 ?10.5 9.6 ?68.5 13.7 13.7 11.3 22.3 22.3 1.3 27.1 27.1 -4.6 100.6 100.6 -77.5 A M -13.6 -3.9 ±31.9 -15.6 ±208.9 -22.2 -22.2 -18.4 -48.6 -48.6 10.5 -64.8 -64.8 28.3 -290.2 -290.2 252.9 下 N 1329.5 227.5 ?37.4 1443.3 ?289.7 2017.8 2017.8 1794.8 1945.3 1945.3 1564 1870.7 1870.7 1543 2108.5 2108.5 1355.3 V 8.4 2.4 ?10.5 9.6 ?68.5 13.7 13.7 11.3 22.3 22.3 1.3 27.1 27.1 -4.6 100.6 100.6 -77.5 一 M -22.5 -6.1 ?18.8 -25.6 ?118.6 -36.4 -36.4 -30.4 -51.3 -19.7 -42.8 -59.3 -6.7 -53.3 -184.8 123.5 -184.8 上 N 1522.2 335.3 ?33.6 1689.9 ?239.2 2383.6 2383.6 2055 2267.8 2324.3 1798.4 2108.2 2202.3 1779.6 1716.9 2338.8 1716.9 V -7.4 -2 ?12.5 -8.4 ?80.7 -12 -12 -10 -22.2 -1.2 -19.4 -28.3 6.7 -26.4 -115 94.8 -115 B M 11.1 3 ±37.6 12.6 ±246.3 17.9 17.9 15 49.1 -14.1 44.9 68.9 -36.4 66 335.3 -305.1 335.3 下 N 1549.8 335.3 ?33.6 1717.5 ?239.2 2420.8 2420.8 2092.2 2301 2357.4 1831.5 2141.3 2235.4 1812.7 1750 2371.9 1750 V -7.4 -2 ?12.5 -8.4 ?80.7 -12 -12 -10 -22.2 -1.2 -19.4 -28.3 6.7 -26.4 -115 94.8 -115
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③ 纵向受拉钢筋:As=α1fcbx1.0?14.3?250?43.8==522.0mm2 fy300④ 验算配筋率:ρ=而最小配筋率
As522.0==0.34% bho250?615ρmin=MAX?0.25%,0.45ft/fy?=MAX?0.25%,0.21%?=0.25% ρ>ρmin,则满足最小配筋率要求.
⑤ 选择钢筋3?16 (As实=603mm2>522.0mm2),故满足承载力要求. 跨中截面:
梁板整浇,下部受拉按T形截面计算,其翼缘宽度b'f按以下几种情况考虑:
① 按计算跨度考虑b'f=
lo6625==2208㎜ 33② 按梁肋净跨考虑b'f=b+Sn=250+3350=3600㎜ ③ 按h'f/ho=0.1/0.615=0.16>0.1,不受限制 以上三种取小值,即取翼缘计算宽度b'f=2208㎜ 1) 判别T形截面类型
'' α1fcb'h(h-0.5hffof)=1.0×14.3×2208×100×(615-0.5×100)
=1784.0KN·M>106.6 KN·M,属于第一类T形截面,按b'f×h矩形截面
计算
2) 求受压区高度X:
2?106.6?1062M)h0=(1-1-)?615=5.5㎜ X=(1-1-22α1fcbh01.0?14.3?2208?615'α1fcbfx1.0?14.3?2208?5.53) 纵向受拉钢筋: As===578.9mm2
fy3004) 验算配筋率: ρ= 最小配筋率:
As578.6==0.38% bho250?615ρmin=MAX?0.20%,0.45ft/fy?=MAX?0.20%,0.21%?=0.21%
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