框架梁柱内力组合表
提高单跨框架结构抗震性能的几种方法
工程建设与设计______Construction&Design For P roject提高单跨框架结构抗震性能的几种方法Several Methods to Improve the Seismic Performance of Single Span FrameStructure闫艳伟\李晓蕾2(1•中元国际工程有限公司，北京100038；2.西安理工大学土木建筑工程学院，西安710048)YAN Yan-wei1,LI Xiao-lei2(1.China IPPR International Engineering Co.Ltd.,Beijing100038,China;2.School of Civil Engineering and Architecture,Xi'an University of Technology,Xi'an71004&China)【摘要】单跨框架结构冗余度小，在地震中很容易形成机构并发生倒塌破坏，故在设计中应增加延性，提高其抗震性能。
结合实际工程，以一工业厂房附属用房中的单跨框架结构为例，对比分析了加强抗震措施、中震弹性设计与中震不屈服设计、对结构重要部位进行包络设计三种提升结构综合抗震性能的方法结果表明，可通过提高抗震等级和抗震构造措施以及对结构重要部位进行包络设计来有效提高结构抗震性能，对关键构件进行中震抗震设计能保证其具有较好的延性，但建筑物的整体造价会有所提高[Abstract]Due to the small redundancy of single span frame structure,it is easily forming mechanism and collapsed under the earthquake.Then,the seismic performance of s ingle span frame structure should be improved by strengthening structure bined with practical engineering,a single span frame structure in industrial workshop accessory occupancy as an example,three methods are proposed as follows: strengthen aseismic measures,elastic and non-yielding design under moderate earthquake,envelope design for the important parts of the structure.The comparative analysis was made in this paper,and results shows that improving seismic grade and seismic construction as well as envelope design for important part of t he structure are affect measures for strengthening the structural seismic performance.Seismic design for key component of s tructure under moderate earthquake will ensure the good ductility;however,the overall cost of s tructure will be increased.【关键词】单跨框架;抗震措施涎性;性能设计[Keywords]single-span frame structure;seismic measures;ductility；performance design【中图分类号】TU323.5;TU352【文献标志码】B【文章编号11007-9467(2019)02-0048-04 [DOI]10.13616/ki.gcjsysj.2019.02.0151引言单跨框架结构指由2根柱1根梁组成的结构，其抗侧刚度小，结构超静定次数少，耗能能力弱，结构冗余度小,不能形成多道抗震防线,在超越抗震设防的强震作用下，一旦框架柱出现塑性枝，则整个结构出现连续倒塌的可能性很大。
一榀框架计算-内力计算
第8章 一榀框架计算8.7框架内力计算框架结构承受的荷载主要有恒载、活载、风荷载、地震作用。
其中恒载、活载为竖向荷载,风荷载和地震为水平作用。
手算多层多跨框架结构的内力和侧移时，采用近似方法。
求竖向荷载作用下的内力采用分层法，求水平荷载作用下的内力采用反弯点法、D 值法。
在计算各项荷载作用下的效应时,一般按标准值进行计算，然后进行荷载效应组合。
8.7.2框架内力计算1。
恒载作用下的框架内力 (1）计算简图将图8-12（a ）中梁上梯形荷载折算为均布荷载。
其中a=1。
8m ，l=6.9m ，=1800/69000.26a α==,顶层梯形荷载折算为均布荷载值:232312+=120.26+0.2621.31=18.8kN m q αα-⨯-⨯⨯（）（），顶层总均布荷载为18.8+4.74=23.54kN m 。
其他层计算方法同顶层，计算值为21.63kN m 。
中间跨只作用有均布荷载,不需折算。
由于该框架为对称结构,取框架的一半进行简化计算,计算简图见8-19。
（2）弯矩分配系数节点A 1:101044 1.18 4.72A A A A S i ==⨯=111144 1.33 5.32A B A B S i ==⨯=12120.940.94 1.61 5.796A A A A S i =⨯=⨯⨯=()0.622 1.3330.84415.836AS =++=∑1010 4.720.29815.836A A A A AS S μ===∑图8-19 恒载作用下计算简图（括号内数值为梁柱相对线刚度）1111 5.320.33615.836A B A B AS S μ===∑1212 5.7960.36615.836A A A A AS S μ===∑ 节点B 1:11112 1.12 2.24B D B D S i ==⨯=18.076BS =∑1111 5.320.29418.076B A B A BS S μ===∑1010 4.720.32118.076B B B B BS S μ===∑ 1212 5.7960.32118.076B B B B BS S μ===∑1111 2.240.12418.076B D B D BS S μ===∑节点A 2:()210.94 1.610.4170.94 1.610.776 1.33A A μ⨯⨯==⨯⨯++230.940.7760.20113.91A A μ⨯⨯==224 1.330.38213.91A B μ⨯==节点B 2:224 1.330.3294 1.330.94 1.61+0.940.7762 1.12B A μ⨯==⨯+⨯⨯⨯⨯+⨯210.94 1.610.35916.15B B μ⨯⨯==212 1.120.13916.15B C μ⨯==230.940.7760.17316.15B B μ⨯⨯==节点A 3 、A 4、A 5与A 2相同B 3、B 4、B 5与B 2相同。
框架柱内力组合表
柱顶N 193.6712.277.94-11.6311.63177.64柱底N 223.6212.277.94-11.6311.63206.39柱顶N 450.4859.5555.22-35.1335.13422.43柱底N 480.4359.5555.22-35.1335.13451.18柱顶N 707.21106.92102.59-67.9267.92657.53柱底N 737.16106.92102.59-67.9267.92686.28柱顶N 963.94154.29149.96-109.23109.23883.76柱底N 993.89154.29149.96-109.23109.23912.52柱顶N 1220.64201.65197.32-153.74153.741106.64柱底N 1250.59201.65197.32-153.74153.741135.39柱顶N 1477.13249.77245.44-206.60206.601320.99柱底N1525.64249.77245.44-206.60206.601367.56截面柱顶柱底柱顶柱底柱顶柱底柱顶柱底γRE （∑Mc=ηc ∑--116.8088.43130.58112.96146.70126.86γREN--495.50524.25798.80827.551110.961139.712SEk左震组合内力截面1层次6543层次 4.003.00SQk和雪载6.005.00SGk 表6.31（b） 横向框架C柱柱端组合弯矩设计值的调整6.00-18.62-2.81-2.3417.19-17.19-1.19-39.18-27.955.00-14.19-4.16-4.2128.44-28.4414.81-48.05-23.324.00-14.57-3.98-3.9837.16-37.1624.17-57.95-23.653.00-14.65-3.99-3.9943.64-43.6431.24-65.20-23.772.00-14.96-4.15-4.1548.20-48.2035.89-70.64-24.351.00-5.76-1.56-1.5656.36-56.3655.61-68.95-9.34M -38.18-3.10-1.92-62.7462.74-96.40N 239.5617.1611.25-11.4211.42223.50M 30.50 3.84 3.5038.45-38.4566.51N 269.5117.1611.25-11.4211.42252.25M -28.08-3.85-4.00-88.9488.94-121.37N 555.6192.0086.09-34.7334.73538.59M 28.84 3.84 3.8472.77-72.77105.21N 585.5692.0086.09-34.7334.73567.34M -28.84-3.84-3.84-109.89109.89-143.82N 871.74166.75160.84-69.0669.06842.25M 28.84 3.84 3.84101.43-101.43135.02N 901.69166.75160.84-69.0669.06871.00M -28.84-3.84-3.84-124.11124.11-158.60N 1187.87241.50235.59-110.63110.631138.38M 28.88 3.83 3.83124.11-124.11158.64N 1217.82241.50235.59-110.63110.631167.14M -28.74-3.87-3.87-137.07137.07-172.00N 1504.03316.26310.35-162.10162.101424.25M 31.82 3.54 3.54137.07-137.07174.80N 1533.98316.26310.35-162.10162.101453.00M -21.56-2.57-2.57-131.64131.64-158.84N 1819.50390.26384.35-207.98207.981714.91M 10.78 1.29 1.29214.79-214.79234.35N 1868.01390.26384.35-207.98207.981761.48柱顶N 239.5617.1611.25-11.4211.42223.50柱底N 269.5117.1611.25-11.4211.42252.25柱顶N 555.6192.0086.09-34.7334.73538.59柱底N 585.5692.0086.09-34.7334.73567.34柱顶N 871.74166.75160.84-69.0669.06842.25柱底N 901.69166.75160.84-69.0669.06871.00柱顶N 1187.87241.50235.59-110.63110.631138.38柱底N 1217.82241.50235.59-110.63110.631167.14柱顶N 1504.03316.26310.35-162.10162.101424.25柱底N1533.98316.26310.35-162.10162.101453.00SGk SQk和雪载SEk左震组合右震组合 1.35SGk+SQk 柱顶柱底柱顶柱底柱顶柱底柱顶柱底柱顶柱底柱顶柱底表6.33（a） 横向框架D柱弯矩和轴力组层次截面内力SGk SQk和雪载SEk 左震组合表6.32 横向框架C柱剪力组合（kN）层次SGk SQk和雪载SEk 左震组合65432层次截面内力3.002.001.006.005.004.00柱顶N 1819.50390.26384.35-207.98207.981714.91柱底N 1868.01390.26384.35-207.98207.981761.48截面柱顶柱底柱顶柱底柱顶柱底柱顶柱底γRE （∑Mc=ηc ∑--142.09122.15166.97157.94185.53186.44γREN--538.59567.34842.25871.001138.381167.14619.08 1.93 1.5128.11-28.1151.29-10.8327.69515.81 2.14 2.1844.92-44.9266.87-32.4023.48416.02 2.13 2.1358.70-58.7082.29-47.4423.76316.03 2.13 2.1368.95-68.9593.63-58.7523.77216.82 2.06 2.0676.15-76.15102.35-65.9424.7716.600.790.7970.70-70.7085.26-70.999.701表6.33（b） 横向框架C柱柱端组合弯矩设计值的调整层次 6.005.004.003.00表6.34 横向框架C柱剪力组合（kN）层次SGk SQk和雪载SEk 左震组合右震组合 1.35SGk+SQkN Nmin Nmax 201.83273.72249.58230.58314.16285.52495.50667.70623.95524.25708.13659.89798.801061.65998.34827.551102.091034.281110.961455.611372.731139.711496.041408.671426.421849.511747.081455.171889.951783.021750.722243.902122.231797.292309.382180.45柱顶柱底柱顶柱底135.32164.17160.00248.561426.421455.171750.721797.29右震组合 1.35SGk+S Qk 1.2SGk+1.4SQk 红色字体绿色字体紫色字体1.002.00调整-26.28 -22.85 -23.06 -23.17 -23.76 -9.1025.95-54.64-50.16 247.25340.57311.50 -8.4645.0241.98 276.01381.00347.44 63.62-41.76-39.09 610.83842.07795.53 -46.1542.7739.98 639.58882.51831.47 84.76-42.77-39.98 985.901343.601279.54 -75.9642.7739.98 1014.651384.031315.48 99.54-42.77-39.98 1368.491845.121763.54 -99.5142.8240.02 1397.251885.561799.48 113.10-42.67-39.91 1761.422346.702247.60 -110.3146.5043.14 1790.172387.132283.54 114.97-31.68-29.47 2147.512846.592729.76 -212.4115.8414.74 2194.082912.072787.98 247.25340.57311.50 276.01381.00347.44 610.83842.07795.53 639.58882.51831.47 985.901343.601279.54 1014.651384.031315.48 1368.491845.121763.54 1397.251885.561799.48 1761.422346.702247.60 1790.172387.132283.54M轴力组合右震组合1.35SGk+SQk1.2SGk+1.4SQkMmax M1.2SGk+1.4SQk 剪力设计值右震组合1.35SGk+SQk红色字体绿色字体绿色字体紫色字体紫色字体1.2SGk+1.4SQkN Nmin Nmax红色字体2147.512846.592729.762194.082912.072787.98柱顶柱底柱顶柱底202.14204.07185.44304.661424.251453.001714.911761.4825.6021.9722.2122.2223.079.03调整2.00 1.001.2SGk+1.4SQk 剪力设计值。
钢筋混凝土结构抗震组合内力增大调整系数
底层柱： 抗规式 6.2.5-1中由 底层柱柱底 截面弯矩计 算值贡献的 剪力部分
顶层柱： 抗规式 6.2.5-1中由 顶层柱柱顶 截面弯矩【 注2】贡献的
高规3.10.4-2 高规10.2.11-3
高规6.2.3 （抗规6.2.10-
3） （抗规6.2.5） 高规10.2.11-3
中 Mb
转 换 梁 转换梁 及 框 架 框架梁
转换柱上端 截面和底层
柱柱底
部分 框支 抗震 转 墙结 换 构柱
及 框 架 柱
转换柱的其 他部位
特一级 一级 二级 各級 特一级
一级
二级
特一级
1.9
计算值
1.9
计算值
1.9
计算值
注：高规4.3.2，7度 (0.15g)、8度時，跨
1.6
（水平地震作 高规10.2.4
框架柱
各级
框
9度的一
架 全部框架梁 级
1.0
梁
其他各级
9度的一
级
计算值
按抗规6.2.2，同“其他结构的框架”中的框架柱
-
直接按抗规式6.2.4-2计算V
抗规6.2.4
按抗规6.2.4，同“框架结构”中的框架梁
直接按抗规式6.2.5-2计算V （1.1V）
直接按抗规式6.2.5-2计算V （1.1V）
1.95=1.3*1.5 (2.145=1.1*1.95)
1.56=1.2*1.3 (1.716=1.1*1.56)
1.32=1.1*1.2 (1.452=1.1*1.32)
【注2】
规范条文 高规3.10.3-1
抗规6.2.4 高规3.10.2-2
0附表2+框架梁由永久荷载效应控制的内力组合表
附表2 框架梁由永久荷载效应控制的内力组合表 kN(kN·m)B梁注：恒载、（楼面）活载的荷载分项系数分别为1.35、1.4；内力组合值均乘以ro=1；为简化计算取 1.35SGk+1.0SQk进行组合。
上柱左梁右梁左梁-89.24-0.225-122.45122.45-0.12104.32-0.233-18.13-0.27520.08-14.93-0.147-28.98下柱24.5421.53-25.31-18.29-49.1426.3224.11-27.11-31.00-52.63第五层29.4724.57-27.36-33.20-53.1330.03 6.6824.72-27.49-33.52-9.03-53.3730.21 6.75-33.67-9.057.16-9.267.38-10.45上柱8.46-8.45-0.177-0.113-72.34-0.146-98.3498.34-0.09386.08-0.181-12.26-0.177 6.98-6.95-0.113-13.53下柱8.46 6.08-8.60-8.45-16.737.38 5.91-7.62-10.45-14.84第四层7.16 5.57-7.45-9.26-14.506.7511.90 5.51-7.43-9.05-13.89-14.466.6811.84-9.03-13.8211.79-13.8011.02-13.90上柱11.31-9.83-0.177-0.113-72.34-0.146-98.3498.34-0.09386.08-0.181-12.26-0.1779.33-8.09-0.113-15.74下柱11.319.09-11.44-9.83-22.2711.029.72-11.36-13.90-22.10第三层11.799.77-11.37-13.80-22.1311.849.739.81-11.44-13.82-12.29-22.2611.909.82-13.89-12.3610.06-12.6610.02-13.19上柱10.80-9.62-0.177-0.113-72.34-0.146-98.3498.34-0.09386.08-0.181-12.26-0.1778.91-7.92-0.113-15.41下柱10.808.27-10.86-9.62-21.1310.028.30-10.42-13.19-20.28第二层10.068.10-10.17-12.66-19.809.8215.688.03-10.12-12.36-16.91-19.699.7315.64-12.29-16.8915.43-16.7414.59-15.81上柱12.62-10.76-0.205-0.124-72.34-0.168-98.3498.34-0.10286.08-0.197-12.26-0.12710.34-8.85-0.077-17.10下柱7.8211.96-13.01-6.68-25.129.0412.65-13.77-9.82-26.59第一层9.5612.82-13.89-10.39-26.83恒载作用下右梁左梁右梁左梁18.13-0.254-339.16-0.086-357.29357.29-0.175324.0893.51-0.1631.66-62.25-0.325107.8958.9036.53-58.18-115.6267.10 108.3867.9636.70-59.57-108.05109.0868.2736.93-59.49-110.64109.1268.7122.3936.94-59.52-110.48-20.8468.7322.43-110.54-20.8922.43-21.0823.27-20.3525.78-28.1543.57-0.121-0.19712.26-0.193-258.42-0.065-270.68270.68-0.106244.6841.12-0.12113.85-15.15-0.19737.1125.7812.50-10.95-28.1525.26 35.7823.2712.05-11.34-20.3535.7822.4312.05-11.24-21.0835.7122.4330.4312.03-11.21-20.89-40.4222.3930.38-20.84-40.3930.19-40.1930.56-39.1030.05-45.8430.47-0.121-0.19712.26-0.193-258.42-0.065-270.68270.68-0.106244.6847.94-0.12116.14-24.66-0.19748.7530.0516.42-21.04-45.8433.52 48.1530.5616.22-21.63-39.1048.4530.1916.32-21.73-40.1948.5430.3828.4716.35-21.75-40.39-34.9730.4328.50-40.42-34.9928.69-35.0929.64-35.8029.50-42.2931.36-0.121-0.19712.26-0.193-258.42-0.065-270.68270.68-0.106244.6847.05-0.12115.85-22.76-0.19747.2829.5015.92-19.26-42.2935.1445.7629.6415.41-18.88-35.8045.4728.6915.31-18.83-35.0945.4128.5031.2315.29-18.82-34.99-42.0228.4731.22-34.97-42.0131.15-41.9830.68-41.7626.77-39.7741.10-0.133-0.23112.26-0.212-213.70-0.072-225.96225.96-0.125199.9642.68-0.08314.49-21.52-0.14448.9116.7116.61-22.60-24.7919.1249.6519.1516.86-22.72-26.0349.7619.4416.90-22.73-26.17作用下的迭代计算-122.45122.45-18.1318.13-357.29357.2921.94-30.26 2.37164.8614.37-82.10 -100.5192.19-15.76182.99-342.92275.19-76.37159.85q35.65q19.88q45.38 1/8ql*l183.671/8ql*l27.061/8ql*l535.93跨中-87.32跨中72.31跨中-226.87左端剪力115.73左端剪力-17.88左端剪力227.52右端剪力-113.14右端剪力-83.48右端剪力-213.58-51.72113.51-98.3498.34-12.2612.26-270.68270.683.59-9.35 6.7956.9612.84-10.40-94.7588.99-5.4769.22-257.84260.28-31.9575.21q28.63q13.51q34.38 1/8ql*l147.501/8ql*l18.391/8ql*l406.02跨中-55.63跨中18.95跨中-146.96左端剪力92.80左端剪力 2.97左端剪力166.84右端剪力-91.01右端剪力-41.61右端剪力-167.34-36.8283.25-98.3498.34-12.2612.26-270.68270.688.19-13.06 4.0374.8310.95-27.15-90.1585.28-8.2387.09-259.73243.53-40.0889.34q28.63q13.51q34.38 1/8ql*l147.501/8ql*l18.391/8ql*l406.02跨中-59.79跨中29.27跨中-154.39左端剪力92.66左端剪力-1.61左端剪力168.75右端剪力-91.14右端剪力-46.19右端剪力-165.42-38.4887.37-98.3498.34-12.2612.26-270.68270.685.94-12.216.0371.1311.77-22.34-92.4086.13-6.2383.39-258.91248.34-29.2088.17q28.63q13.51q34.38 1/8ql*l147.501/8ql*l18.391/8ql*l406.02跨中-58.24跨中26.42跨中-152.40左端剪力92.88左端剪力-1.09左端剪力168.17右端剪力-90.93右端剪力-45.67右端剪力-166.00-46.1190.92-98.3498.34-12.2612.26-225.96225.9611.74-14.97-3.8972.7011.07-28.57-86.6083.37-16.1584.96-214.89197.39-20.7938.88q28.63q13.51q28.70 1/8ql*l147.501/8ql*l18.391/8ql*l338.94跨中-62.52跨中32.17跨中-132.80左端剪力92.40左端剪力 1.44左端剪力141.28右端剪力-91.40右端剪力-43.14右端剪力-137.68-241.92 -152.22 -82.10 -101.69 -115.82 -110.37-111.97 -119.01 -52.34。
内力组合(框架柱内力组合表)
-52.00
-12.39
-4.9 7.6
底 N 464.97 117.62(100.31) -4.9
柱 M 52.00
12.39
-15.2
4
顶 柱
N M
649.09 176.61(159.30)
-52.00
-12.39
-5.2 12.4
底 N 734.74 176.61(159.30) -5.2
柱 M 52.00
17.80
33.6 21.2
底 N ####### 283.26(283.24) 33.6
柱 M -77.48
-19.54
-34.5
1
顶 柱
N ####### 340.15(340.13)
M 38.74
9.77
47.7 67.0
底 N ####### 340.15(340.13) 47.7
表6-5（a
柱 M -81.40
-21.53
-21.4
3
顶 柱
N M
879.34 80.91
226.62(226.6) 21.04
21.7 17.5
底 N 993.54 226.62(226.6) 21.7
柱 M -76.72
-20.00
-25.9
2
顶 柱
N ####### 283.26(283.24)
M 71.36
28.42 -28.42 -69.03 -71.55
###### 12.01 160.21 161.27
###### 95.63 67.10 77.25
###### 40.24 382.59 387.00
63.75 -63.75 -67.84 -74.62
【精品文档类】框架梁的内力组合表
框架梁的内力组合：层次截面位置内力GKSQKSwKSEKSwKGKSS4.12.1+)85.0(2.1wKQKGKSSS++QKGKSS4.12.1+EKGKSS3.12.1+控制值调幅后的值第六层FM-75.96 -23.92- ±5.31 ±19.34 -83.72 -98.59 -106.17 -116.79 -124.64 -66.01 -116.29 ±124.64 ±105.94 V86.30 27.74 μ0.99 μ3.65 102.17 104.95 126.15 128.13 142.40 98.82 108.31 142.40 170.88左LM-139.82 -44.89- ±3.04 ±11.28 -163.53 -172.04 -202.90 -208.98 -230.63 -153.12 -182.45 ±230.63 ±196.04 V101.50 32.74 μ0.99 μ3.65 120.41 123.19 148.64 150.62 167.64 117.06 126.55 167.64 201.17右LM-108.77 -35.14- ±5.16 ±17.41 -123.30 -137.75 -155.23 -165.55 -179.72 -107.89 -153.16 ±179.72 ±152.76 V80.67 26.05 μ1.87 μ6.58 94.18 99.42 117.08 120.82 133.27 88.25 105.36 132.27 159.92 'FM-27.15 -8.47 ±6.06 ±22.06 -21.4 -41.06 -33.72 -45.84 -44.44 -3.90 -61.26 ±45.84 ±38.96 V53.47 17.15 μ1.87 μ6.58 61.55 66.78 76.87 80.61 88.17 52.61 69.72 88.17 105.86 跨中FLM89.29 29.09 1.14 -4.03 108.74 133.01 121.97 112.39 133.01 159.61 LRM32.64 10.59 -0.45 -2.33 38.54 47.72 53.99 36.14 53.99 64.79第五层FM-117.00 -32.74 ±14.43 ±33.92 -120.20 -160.60 -153.80 -182.66 -186.24 -96.30 -184.50 ±186.24 ±158.30 V102.93 28.78 μ2.29 μ6.03 120.31 126.72 145.69 150.27 163.81 115.68 131.36 163.81 196.57左LM-160.53 -45.04 ±4.78 ±16.73 -185.94 -199.33 -226.14 -235.70 -255.69 -170.89 -214.39 ±255.69 ±217.34 V113.25 31.70 μ2.29 μ6.03 132.69 139.11 160.56 165.14 180.28 128.06 143.74 180.28 216.34右LM-109.96 -30.67 ±18.63 ±53.07 -105.87 -158.03 -139.39 -176.65 -174.89 -62.96 -200.94 ±200.94 ±170.80 V85.90 24.57 μ5.90 μ16.25 94.82 111.34 118.06 129.86 137.48 81.96 124.21 137.48 164.98 'FM-45.90 -12.84 ±16.79 ±41.41 -31.57 -78.59 -49.20 -82.78 -73.06 -1.25 -108.91 ±108.91 ±92.57 V66.54 18.63 μ5.90 μ16.25 71.59 81.11 89.78 101.58 105.93 58.72 100.97 105.93 127.12 跨中FLM88.26 24.61 4.83 8.60 112.67 131.66 140.37 117.09 140.37 168.44 LRM37.9 10.64 0.92 5.83 46.77 55.44 60.38 53.06 60.38 72.46第四层FM-118.43 -33.13 ±24.89 ±64.04 -107.27 -176.96 -145.39 -195.17 -188.50 -58.86 -225.37 ±225.37 ±191.56 V103.14 28.85 μ5.07 μ11.40 116.67 130.87 143.22 153.36 164.16 108.95 138.59 164.16 196.99左LM-160.14 -44.80 ±17.71 ±31.76 -167.37 -216.96 -204.54 -239.96 -254.89 -149.88 -234.46 ±254.89 ±216.66 V113.08 31.63 μ5.07 μ11.40 128.60 142.79 157.51 167.65 179.98 120.88 150.52 179.98 215.98右LM-110.24 -30.83 ±19.35 ±61.93 -105.20 -159.38 -139.14 -177.78 -175.45 -51.78 -212.80 ±212.80 ±180.88 V87.78 24.55 μ7.99 μ22.39 94.15 116.52 117.21 134.19 139.71 76.23 134.44 139.71 167.65 'FM-46.87 -13.12 ±28.59 ±72.42 -16.22 -96.25 -38.81 -95.99 -74.61 34.90 -147.39 ±147.39 ±125.28 V66.66 18.65 μ7.99 μ22.39 68.81 91.18 81.15 103.83 106.10 50.89 109.10 109.10 130.92 跨中FLM87.74 24.53 3.59 16.14 110.31 129.73 139.63 126.27 139.63 167.56 LRM37.27 10.42 -4.62 -5.25 38.26 48.96 59.31 37.90 59.31 71.17第三层FM-124.09 -34.09 ±34.75 ±75.81 -100.26 -197.56 -143.13 -212.63 -196.63 -50.36 -247.46 ±247.46 ±210.34 V103.95 29.33 μ7.39 μ14.10 114.39 135.09 142.38 157.06 165.80 106.41 143.07 165.80 198.96左LM-159.05 -41.77 ±27.30 ±42.65 -152.64 -229.08 -199.06 -253.66 -249.34 -135.42 -246.31 ±253.66 ±215.61 V112.27 31.15 μ7.39 μ14.10 124.38 145.07 153.81 168.59 178.33 116.39 153.05 178.33 214.00右LM-106.39 -31.68 ±28.36 ±80.59 -87.59 -167.75 -126.24 -182.96 -172.02 -22.90 -232.44 ±232.44 ±197.57 V86.54 24.53 μ11.62 μ28.64 87.58 120.12 113.08 136.32 138.19 66.62 141.08 141.08 169.30 'FM-50.50 -14.13 ±41.36 ±91.27 -2.70 -118.50 -31.25 -113.97 -80.38 58.05 -179.25 ±179.25 ±152.36 V67.90 18.67 μ11.62 μ28.64 65.21 97.75 85.73 108.97 107.62 44.25 118.71 118.71 142.45 跨中FLM85.46 25.57 3.73 16.58 107.77 128.02 138.35 124.11 138.35 166.19 LRM37.38 9.47 -6.50 -5.34 35.76 46.41 58.11 37.91 58.11 69.73第二层FM-127.59 -35.44 ±42.21 ±88.54 -94.01 -212.20 -141.02 -225.44 -202.72 -38.01 -268.21 ±268.21 ±227.98 V104.41 29.18 μ9.50 μ16.12 111.99 139.22 140.60 159.60 166.14 104.34 146.25 166.14 199.37左LM-158.65 -44.38 ±37.63 ±46.84 -137.70 -243.06 -190.47 -265.73 -252.51 -129.49 -251.27 ±265.73 ±225.87 V111.81 31.30 μ9.50 μ16.12 120.87 147.47 151.28 170.28 177.99 113.22 155.13 177.99 213.59 右L M-103.04 -28.93 ±45.22 ±96.70 -60.34 -186.96 -102.93 -193.37 -164.01 2.06 -249.36 ±249.36 ±211.96框架外柱的内力组合：层次控制截面内力A 轴 外 柱GK SQK SwK S EK S wK GK S S 4.12.1+ )85.0(2.1wK QK GK S S S ++ QK GK S S 4.12.1+)(3.12.1max M S S EK GK +控制值调幅后的值第六层 上M -75.96 -23.92 ±5.31 ±19.34 -83.72 -98.59 -106.17 -116.79 -124.64 -66.01 -116.29 -124.64 137.10 N 86.30 27.74 ±0.99 ±3.65 104.95 102.17 128.13 126.15 142.40 108.31 98.82 142.40 142.40 下M -58.50 -13.67 μ3.04 μ11.05 -74.46 -65.94 -84.86 -78.78 -89.34 -84.57 -55.84 -89.34 -98.27 N 106.93 48.73 ±0.99 ±3.65 129.74 126.97 170.73 168.75 196.54 133.10 123.61 196.54 196.54 V 86.30 27.74 μ0.99 μ3.65 102.17 104.95 126.15 128.13 196.54 98.82 108.31 142.40 156.64 第五 层上M -58.50 -13.67 ±11.39 ±22.87 -54.25 -86.15 -70.43 -93.21 -89.34 -40.47 -99.93 -99.93 109.92 N 209.86 77.15 ±3.28 ±9.68 256.42 247.24 320.69 314.13 359.84 264.42 239.25 359.84 359.84 下M -63.91 -17.88 μ8.25 μ31.58 -108.24 -85.14 -100.14 -83.64 -101.72 -117.75 -35.64 -117.75 -129.53 N 230.91 97.78 ±3.28 ±9.68 281.18 272.00 362.98 356.42 413.48 289.17 260.00 413.48 413.48 V 102.93 28.78 μ2.29 μ6.03 120.31 126.72 145.69 150.27 163.81 115.68 131.36 163.81 180.19 第四层上M -54.52 -12.25 ±16.64 ±32.46 -33.13 -97.72 -67.75 -90.03 -86.77 -23.23 -107.62 -107.62 118.38 N 333.63 126.63 ±8.35 ±21.08 412.05 388.67 516.34 499.64 539.65 427.76 372.95 539.65 539.65 下M -55.28 -15.04 μ13.62 μ39.67 -85.40 -47.29 -92.74 -65.50 -87.39 -117.91 -14.77 -117.91 -129.70 N 354.26 147.26 ±8.35 ±21.08 436.80 413.42 558.63 541.93 631.28 452.52 397.71 631.28 631.28 V 103.14 28.85 ±5.07 ±11.40 120.67 134.87 143.22 153.36 164.16 108.95 138.59 164.16 180.57 第三层上M -68.81 -19.05 ±21.13 ±36.14 -52.99 -112.15 -80.63 -122.89 -112.24 -38.59 -132.55 -132.55 145.81 N 458.21 176.59 ±15.74 ±35.18 571.89 527.82 715.69 684.21 797.08 595.59 504.12 797.08 797.08 下M -63.80 -19.02 μ17.29 μ44.17 -100.77 -52.35 -110.02 -75.44 -103.19 -133.98 -19.14 -133.98 147.38 N483.17201.55±15.74 ±35.18620.11557.77766.86735.38861.97625.54534.07861.97861.97框架外柱的内力组合：层次控制截面内力C 轴 外 柱GK SQK SwK S EK S wK GK S S 4.12.1+ )85.0(2.1wK QK GK S S S ++ QK GK S S 4.12.1+)(3.12.1max M S S EK GK + 控制值调幅后的值第六层 上M -27.15 -8.47 ±6.06 ±22.06 -24.10 -41.06 -33.72 -45.84 -44.44 -3.90 -61.26 -61.26 67.39 N 53.47 17.15 ±1.87 ±6.58 66.78 61.55 80.61 76.87 88.17 72.72 55.61 88.17 151.83 下M -22.95 -6.42 μ4.04 μ14.71 -33.20 -21.88 -37.04 -28.96 -36.53 -46.66 -8.42 -46.66 51.33 N 74.10 37.78 ±1.87 ±6.58 91.54 86.30 122.90 119.16 141.81 97.47 80.37 205.47 205.47 V 53.47 17.15 μ1.87 μ6.58 61.55 66.78 76.87 80.61 88.17 55.61 72.72 88.17 167.01 第五 层上M -22.95 -6.42 ±12.75 ±26.70 -9.69 45.39 -20.25 -45.75 -36.53 7.17 62.25 62.25 68.48 N 140.64 56.41 ±7.77 ±22.83 179.65 157.89 224.49 208.95 247.74 198.46 139.07 247.74 389.27 下M -25.54 -7.15 μ9.62 μ35.40 -44.12 -17.18 -46.35 -27.11 -40.66 -76.67 15.37 -76.67 84.34 N 161.27 77.04 ±7.77 ±22.83 204.40 182.65 226.78 251.24 301.38 223.22 163.83 301.38 442.91 V 66.54 18.63 μ5.90 μ16.25 71.59 88.11 89.78 101.58 105.93 58.72 100.97 105.93 206.58 第四层上M -21.33 -5.97 ±18.97 ±37.02 0.96 -52.15 -11.70 49.64 -33.95 22.53 -73.72 -73.72 81.09 N 227.93 95.69 ±15.76 ±45.22 295.58 251.45 370.61 339.09 407.48 332.30 214.73 407.48 626.88 下M -22.73 -6.36 μ15.52 μ45.24 -49.00 -5.55 -48.20 -17.16 -36.18 -86.09 31.54 -86.09 94.70 N 248.56 116.32 ±15.76 ±45.22 320.34 276.21 412.90 381.38 461.12 257.06 239.49 461.12 680.51 V 66.66 18.65 ±7.99 ±22.39 68.81 91.18 87.85 103.83 106.10 50.89 109.10 109.10 202.37 第三层上M -27.77 -7.77 ±25.84 ±46.30 2.85 -69.50 -14.09 -65.77 -44.20 -26.87 -93.51 -93.51 102.86 N 316.46 134.99 ±27.38 ±73.86 418.08 341.42 521.87 467.11 568.74 475.77 283.73 568.74 866.00 下M-26.40-7.38μ22.01 μ54.03-62.49-0.87-59.96-15.94-42.01-101.9238.56-101.92112.11N 341.42 159.95 ±27.38 ±73.86 448.04 371.37 573.04 518.28 633.63 505.72 313.69 633.63 753.52 V 67.90 18.67 μ11.62 μ28.64 65.21 97.75 85.73 108.97 107.62 44.25 118.71 118.71 204.04 第二 层上M -26.40 -7.38 ±33.52 ±55.28 15.25 -78.61 -4.43 -71.47 -42.01 40.18 -103.54 -103.54 113.89 N 410.27 179.20 ±47.73 ±108.20 559.15 425.50 692.37 596.91 743.20 632.98 351.66 743.20 1118.33 下M -30.09 -8.41 μ28.55 μ55.28 -76.08 3.86 -71.81 -14.71 -47.88 -107.97 35.76 -107.97 118.78 N 453.23 204.16 ±47.73 ±108.20 589.10 455.45 743.54 648.08 767.27 662.94 381.62 767.27 1183.23 V 68.85 19.25 μ16.35 μ34.34 59.73 105.51 82.63 86.08 115.33 37.98 127.26 127.26 206.18 第一层上M -18.16 -5.07 ±0.00 ±40.57 -21.79 -21.79 -26.10 -26.10 -28.89 30.68 -74.53 -74.53 81.98 N 503.08 223.21 ±0.00 ±138.28 603.70 603.70 793.42 793.42 916.19 783.46 423.93 916.19 1369.19 下 M -9.08 -2.54 μ0.00 μ82.36 -10.90 -10.90 -13.06 -13.06 -14.45 -117.96 96.17 -117.96 -129.76 N 528.04 248.17 ±0.00 ±138.28 633.65 633.65 844.75 844.75 981.07 813.41 453.88 981.07 987.01 V67.85 19.05 μ0.00μ30.0851.42 51.42 97.61 97.61 108.09 42.32 120.52 120.52 132.57框架内柱的内力组合：层次控制截面内力B 轴 内 柱GK SQK SwK S EK S wK GK S S 4.12.1+ )85.0(2.1wK QK GK S S S ++ QK GK S S 4.12.1+)(3.12.1max M S S EK GK + 控制值调幅后的值第六层上M -31.05 -9.75 ±8.20 ±28.69 -25.78 -48.74 -37.35 -53.75 -50.91 0.04 -74.55 74.55 82.01 N 182.17 58.97 ±2.86 ±10.23 222.61 214.60 271.44 265.72 300.91 231.90 205.31 300.91 300.91 下M -35.91 -7.58 μ6.71 μ23.47 21.70 40.49 17.94 31.36 -41.70 0.58 61.60 61.60 67.76 N223.43100.05±2.86 ±10.23272.12264.11356.02350.30408.19281.31254.82408.19408.91。
第七章-内力组合
第7章 框架结构的内力组合§7.1框架结构梁内力组合§7.1.1. 框架结构梁的内力组合在竖向荷载作用下，可以考虑梁端塑性变形内力重分布而对梁端负弯距进行调幅，调幅系数为现浇框架：0.8-0.9，本设计取0.85。
计算结果见表7-1 横梁弯矩调幅。
由于风荷载作用下的组合与考虑地震组合相比，一般较小，对于结构设计不起控制作用，故不考虑。
只考虑以下三种组合形式： 一.由可变荷载效应控制的组合：1.2 1.4QK QKS S S =+(71)-二.由永久荷载效应控制的组合：1.35 1.40.7QK QK S S S =+⨯⨯ (72)-三.竖向荷载与水平地震作用下的组合：1.2(0.5) 1.3QK QK EK S r S S =+⨯+ (73)-具体组合过程见表7.2，其中弯矩KN.m ，剪力KN ，弯矩的上部受拉为负，剪力的产生顺时针为正。
表7-1 横梁弯矩调幅§7.1.2 梁端弯矩控制值梁的支座截面考虑了柱支撑宽度的影响，按支座边缘截面的弯矩计算，即：`/2=-⨯（7-4），M M V b式中：M为梁内力组合表中支座轴线的弯矩值；V为相应的支座剪力；b为相应的柱的宽度；计算结果见表7－3表7－3 梁端弯矩控制值§7.1.3梁端截面组合的剪力设计值调整为防止梁在弯曲屈服前发生剪切破坏，即保证“强剪弱弯”截面设计须对有地震作用的组合剪力设计值按（7－5）进行调整。
()/lr vb b b n GB V M M l V η=-+ （7－5）式中：n l 为梁的净跨；GB V ：为梁的重力荷载代表值，按简支梁分析的梁端截面剪力设计值；,l r b b M M ：分别为梁左右净截面，逆时针或顺时针方向的弯矩设计值；vb η：为梁端剪力增大系数，对于二级框架取1.2 计算结果见表7－4§7.2框架结构柱的内力组合§7.2.1框架结构柱的内力组合柱上端控制值截面在梁底，下端在梁顶，应按轴线计算简图所得的柱端内力值换成控制截面的相应值，此计算为简化起见，采用轴线处内力值。
一榀框架计算
一框架结构设计任务书1.1 工程概况：本工程为成都万达购物广场----成仁店，钢筋混凝土框架结构。
梁板柱均为现浇，建筑面积约为5750m2，宽27米，长为45米，建筑方案确定。
建筑分类为乙类公共类建筑，二类场地，抗震等级三级。
图1-1 计算平面简图1.2 设计资料1）气象条件：基本风压3155KN/m22）抗震设防：设防烈度7度3）屋面做法：20厚水泥砂浆面层一层油毡隔离层40厚挤塑聚苯板保温层15厚高分子防水卷材20厚1:3水泥砂浆找平1:6水泥焦渣1%找坡层，最薄处30厚120厚现浇钢筋混凝土板粉底4）楼面做法：8~13厚铺地砖面层100厚钢筋砼楼板吊顶1.3设计内容1)确定梁柱截面尺寸及框架计算简图2)荷载计算3)框架纵横向侧移计算；4)框架在水平及竖向力作用下的内力分析；5)内力组合及截面设计；6)节点验算。
二 框架结构布置及结构计算简图确定2.1 梁柱截面的确定通过查阅规范，知抗震等级为3级，允许轴压比为[μ]=0.85由经验知n=12~14kn/m 2 取n=13kn/m 2拟定轴向压力设计值 N=n •A=13kn/m 2×81m 2×5=5265KN拟定柱的混凝土等级为C30，f c =14.3N/mm 2 柱子尺寸拟定700mm ×700mmμ= c f s N A =52650.0143700700⨯⨯=0.75<[μ]=0.85 满足初步确定截面尺寸如下：柱：b ×h=700mm ×700mm梁（BC 跨、CE 、EF 跨）=L/12=9000/12=750mm 取h=800mm ，b=400mm纵梁=L/12=9000/15=600mm 取h=600mm ，b=300mm现浇板厚取h=120mm2.2 结构计算简图结构计算简图如下：图2-1结构计算简图图2-2平面计算简图三荷载计算：3.1恒载标准值计算1）①屋面板恒荷载标准值20厚1:3水泥砂浆面层0.02×20=0.4 KN/M 2 一层油毡隔离层0.05 KN/M 2 40厚挤塑苯板保温层0.04×0.5 =0.02 KN/M 2 15厚高分子防水卷材0.04KN/M 2 20厚1:3水泥砂浆找平0.02×20 =0.4 KN/M 2 1:6水泥渣1%找坡层最薄处30厚（0.03+0.045）/2×14=0.525 KN/M 2 120厚现浇钢筋混凝土板0.12×25=3 KN/M 2 12厚板底抹灰0.012×20=0.24 KN/M 2 合计 4.675KN/M 2屋面板传递给边柱的集中荷载： 4.675×1.5×9=63KN中柱的集中荷载： 4.675×3×9=126.23KN②屋顶次梁恒载标准值单向板传给次梁的荷载 4.675×3=14.025 KN/M 次梁自重0.3×(0.6-0.12)) ×25=3.6 KN/M 次梁粉刷（0.6-0.12）×0.02×17×2=0.326 KN/M 合计18 KN/M图3-1 次梁计算单元及板传力图③屋顶框架梁所受恒荷载标准值次梁传给框架梁恒荷载18×9=162KN④屋顶框架梁重量梁自重：0.4×﹙0.8-0.12﹚×25=6.8KN/M粉刷：﹙0.8-0.12﹚×0.02×17×2=0.46KN/M 合计7.26KN/M 2）①楼面板恒载标准值8~13厚铺地砖面层0.6 KN/M 2 20厚1:2水泥砂浆结合层0.02×20=0.4 KN/M 2 120厚钢筋砼楼板0.12×25=3 KN/M 2 石膏板吊顶0.2 KN/M 2合计 4.2 KN/M 2楼面板传递给边柱的集中荷载： 4.2×1.5×9=56.7KN中柱的集中荷载： 4.2×3×9=113.4KN②2~5层纵向次梁恒载标准值计算简图见图3楼面单向板传给纵向次梁恒荷载 4.2×3=12.6 KN/M 次梁自重0.3×（0.6-0.12）×25=3.6KN/M 合计16.2 KN/M③2~5层框架梁所受恒荷载标准值次梁传递给框架梁恒荷载16.2×9≈150 KN③2~5层框架梁恒载标准值框架梁自重0.4×（0.8-0.12）×25=6.8 KN/M 3）四层建在所取一榀框架梁上的填充墙恒荷载标准值墙自重0.2×（3.3-0.8）×10.3≈5.2KN/M 粉刷（3.3-0.8）×0.02×17×2=1.7KN/M 合计取（因为有构造柱取大点）7.2KN/M4）柱自重标准值1~3层柱自重：0.7×0.7×（4.2－0.12）×25＝49.98KN大理石贴面：0.5×4×0.7×4.2＝5.88KN 合计55.86KN 4~5层柱自重：0.7×0.7×（3.3-0.12）×25＝38.96KN大理石贴面：0.5×4×0.7×3.3＝4.62KN合计43.58KN5）外墙自重标准值5层外墙作用在边柱的集中荷载墙自重：0.2×（3.3-0.12）×10.3×（9-07）=54.37KN粉刷：2×0.02×（3.3-0.12）×17（9-0.7）=17.95KN合计72.32KN4层玻璃幕墙作用在边柱的集中荷载玻璃幕墙自重： 1.5kn/m2×（9-0.7）×（3.3-0.12）=26.15KN2~3层外墙作用在边柱的集中荷载墙自重：0.2×（4.2-0.12）×10.3×（9-07）=69.76KN粉刷：2×0.02×（4.2-0.12）×17（9-0.7）=23.03KN合计92.79KN3.2活荷载标准值计算1）①屋面板活荷载标准值（不上人）：0.5KN/M²②顶层次梁受板传递的活荷载标准值（计算简图见图2）0.5×3=1.5KN/M③框架梁受次梁传递的活荷载标准值1.5×9=13.5KN④屋面板传递给边柱的集中荷载：0.5×1.5×9=6.75KN中柱的集中荷载：0.5×3×9=13.5KN2）①5层楼面板活荷载标准值：5KN/M²②5层次梁受板传递的活荷载标准值（计算简图见图3）5×3=15KN/M③框架梁受次梁传递的活荷载标准值15×9=135KN④5层面板传递给边柱的集中荷载：5×1.5×9=67.5KN中柱的集中荷载：5×3×9=135KN3）①4层楼面板活荷载标准值： 2.5KN/M²②4层次梁受板传递的活荷载标准值（计算简图见图3）2.5×3=7.5KN/M③框架梁受次梁传递的活荷载标准值7.5×9=67.5KN④屋面板传递给边柱的集中荷载： 2.5×1.5×9=33.75KN中柱的集中荷载： 2.5×3×9=67.5KN4）①2~3层楼面板活荷载标准值： 3.5KN/M²②2~3层次梁受板传递的活荷载标准值（计算简图见图3）3.5×3=10.5KN/M③框架梁受次梁传递的活荷载标准值10.5×9=94.5KN④屋面板传递给边柱的集中荷载： 3.5×1.5×9=47.25KN中柱的集中荷载： 3.5×3×9=94.5KN四 内力计算4.1 恒荷载作用下的内力计算刚度计算梁线刚度： 截面的惯性矩 I b0= 312bh = 340080012⨯=17×109mm 4考虑现浇楼板对框架梁截面惯性矩的影响，中框架梁取 I 中=2I b0 边框架取 I 边=1.5I b0i 边跨梁= 91.517109000⨯⨯E =28×105E i 中跨梁= 9217109000⨯⨯E=38×105E柱线刚度： 截面的惯性矩 I C =312bh =370070012⨯=20×109mm 4i 4~5层柱= 92010 3300⨯E =60×105Ei 1~3层柱= 92010 4200⨯E =48×105E取105E 值作为基准值1，算得各杆件相对线刚度(见下图)图4-1 梁柱相对线刚度图图4-2 恒载作用下的计算简图由于分布荷载在梁汇总产生的内力远小于集中荷载，所以将梁的分布荷载近似等效为作用在次梁处的集中荷载，以便于计算。
钢筋混凝土框架结构设计计算书完整版
摘要本设计是武汉地区一大学宿舍楼。
该工程占地40002m，共六层，层高均为3m;结构形式为钢筋混凝土框架结构；抗震要求为六度设防。
本结构设计只选取一榀有代表性的框架（8号轴对应的框架）进行计算。
本设计包括以下内容：一、开题报告，即设计任务，目的要求；二、荷载计算，包括恒荷载，活载，风荷载；三、内力计算和内力组合；四、框架梁柱配筋计算；五、现浇板，楼梯和基础计算；六、参考文献，结束语和致谢。
该设计具有以下特点：一、在考虑建筑结构要求的同时考虑了施工要求及可行性；二、针对不同荷载特点采用多种不同计算方法，对所学知识进行了全面系统的复习；三、框架计算中即运用了理论公式计算又运用了当前工程设计中常用的近似计算方法。
AbstractThis article is to explain a design of a 6-storey-living building in Wuhan. The building is to use frame structure with steel and concrete with the seismic requirements for the minimum security 7.The structural design only selected the framework on the 7th axis for calculation. Throughout the design, it mainly used some basic concept such as the structural system selection, the structure of planar and vertical layout, columns and beams section to determine, load statistics, combination of internal forces, together with the methods of construction and structure.On the preliminary design stage, in order to determine or estimate the structure of layout elements cross-section size, it requires the use of some simple approximate calculation methods, in order to solve the problem quickly and provincially. Therefore, in the designing, the use of a framework structure similar to hand-counting methods, including the role of vertical load under the hierarchical method, the level of seismic shear and D value method to master the basic methods of structural analysis to establish the structure of mechanical behavior of the basic concepts; in the design of the foundation, foundation bearing capacity of soil is an important basis for the design. Bearing capacity of foundation soil is not only related to the nature of soil, but also based on the form and size of upper part. I selected the reinforced concrete foundation which has a better shear capacity and bending capacityKeywords: frame structure, load statistics, combination of internal forces, shear method, carrying capacity1 绪论我所学的专业是土木工程，偏向建筑结构方向，专业的主要课程是力学和结构两大类，注重培养学生侧重于力学理论在结构工程中的应用；可以熟练地对建筑结构进行计算并应用所学的力学理论对计算结果进行分析。