6.5竖向荷载作用下横向框架内力计算 - 图文

5.1.3恒载作用下固端弯矩计算

均布荷载：

4.1257500

4.1255700 M左=—4.125×7.52/12= -19.34kN?m M左=—4.125×5.72/12= -11.17kN?m M右 =4.125×7.52/12=19.34kN?m M右 =4.125×5.72/12=11.17kN?m

集中力作用下： ①

47.142.28270027002100

49.4130002700

M左=-（47.1×2.7×4.82+42.28×5.4×2.12）/7.52=-70.21kN?m M右 =(47.1×4.8×2.72+42.28×2.1×5.42)=75.89kN?m M左=-49.47×3×2.72/5.72=-33.3kN?m M右 =49.47×2.7×32/5.72=37kN?m ②

44.9787.09270027002100

47.2530002700

M左=-（44.97×2.7×4.82+87.09×5.4×2.12）/7.52=-91.83kN?m M右 =(44.97×4.8×2.72+87.09×2.1×5.42)=125.73kN?m M左=-47.25×3×2.72/5.72=-31.81kN?m M右 =47.25×2.7×32/5.72=35.34kN?m

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故竖向恒载作用下，待分配弯矩为： MA5=70.21+19.34-16.81=72.74kN?m MA4=91.83+19.34-28.8=82.37kN?m MA3=MA2=91.83+19.34-56.64=54.53kN?m MA1=91.83+19.34-17.28=93.89kN?m Mc5左=-(75.89+19.34)=-95.23kN?m Mc5右=(33.3+11.17)=44.47kN?m

MC4左=MC3左=MC2左=MC1左=-(125.73+19.34)=-145.07kN?m MC4右=MC3右=MC2右=MC1右=(31.81+11.17)=42.98kN?m MD5=-(35.34+11.7+7)=-54.04kN?m

MD4=MD3=MD2=MD1=-(35.34+11.7+17.28)=-64.32kN?m 5.1.4活荷载作用下固端弯矩计算 ①

5.274.68270027002100

5.5630002700

M左=-（5.27×2.7×4.82+4.68×5.4×2.12）/7.52=-7.81kN?m M右 =(5.27×4.8×2.72+4.68×2.1×5.42)=8.37kN?m M左=-5.56×3×2.72/5.72=-3.74kN?m M右 =5.56×2.7×32/5.72=4.16kN?m ②

21.0620.772700

22.23

2700210030002700

M左=-（21.06×2.7×4.82+20.77×5.4×2.12）/7.52=-32.08kN?m M右 =(21.06×4.8×2.72+20.77×2.1×5.42)=35.71kN?m M左=-22.23×3×2.72/5.72=-14.96kN?m M右 =22.23×2.7×32/5.72=16.63kN?m ③

25.0130002700

M左=-25.01×3×2.72/5.72=-16.84kN?m M右 =25.01×2.7×32/5.72=18.71kN?m

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5.2 弯矩分配

由于结构基本对称，在竖向荷载作用下的框架侧移可忽略不计，其内力分析采用弯矩分配

法，在竖向荷载作用下，楼面竖向荷载分别按恒载满布置，活载满跨布置，活载不利布置1，活载不利布置2计算。

恒荷载作用下KJ-2梁内力计算（弯矩分配）（单位：kN?m） A轴 上柱 下柱 右梁 0.000 0.415 0.585 -72.740 30.187 42.553 -8.144 3.380 4.764 33.567 -33.567 0.293 0.293 0.413 -82.370 24.174 24.174 34.022 -10.717 3.145 3.145 4.426 27.319 27.319 -54.638 0.293 0.293 0.413 -54.530 16.003 16.003 22.523 -10.717 3.145 3.145 4.426 19.148 19.148 -38.297 0.293 0.293 0.413 -54.530 16.003 16.003 22.523 -10.717 3.145 3.145 4.426 19.148 19.148 -38.297 0.293 0.293 0.413 -93.890 27.555 27.555 38.781 -10.717 3.145 3.145 4.426 30.700 30.700 -61.400 C轴 左梁 上柱 下柱 右梁 0.282 0.000 0.346 0.372 95.230 -44.470 -16.288 -19.985 -21.487 21.276 -17.563 -1.047 -1.285 -1.381 99.171 -21.270 -84.901 0.210 0.257 0.257 0.276 145.070 -42.980 -21.433 -26.228 -26.228 -28.202 17.011 -15.462 -0.325 -0.398 -0.398 -0.428 140.323 -26.626 -26.626 -87.071 0.210 0.257 0.257 0.276 145.070 -42.980 -21.433 -26.228 -26.228 -28.202 11.262 -15.462 0.882 1.079 1.079 1.160 135.780 -25.149 -25.149 -85.483 0.210 0.257 0.257 0.276 145.070 -42.980 -21.433 -26.228 -26.228 -28.202 11.262 -15.462 0.882 1.079 1.079 1.160 135.780 -25.149 -25.149 -85.483 0.210 0.257 0.257 0.276 145.070 -42.980 -21.433 -26.228 -26.228 -28.202 19.390 -15.462 -0.825 -1.009 -1.009 -1.085 142.202 -27.237 -27.237 -87.728

D轴 左梁 上柱 下柱 0.650 0.000 0.350 54.040 0.000 -35.126 -18.914 -10.743 6.983 3.760 15.154 -15.154 0.481 0.260 0.260 64.320 0.000 -30.923 -16.698 -16.698 -14.101 6.779 3.661 3.661 26.075 -13.038 -13.038 0.481 0.260 0.260 64.320 -30.923 -16.698 -16.698 -14.101 6.779 3.661 3.661 26.075 -13.038 -13.038 0.481 0.260 0.260 64.320 -30.923 -16.698 -16.698 -14.101 6.779 3.661 3.661 26.075 -13.038 -13.038 0.481 0.260 0.260 64.320 -30.923 -16.698 -16.698 -14.101 6.779 3.661 3.661 26.075 -13.038 -13.038