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μC2D2=3.52÷(1.18+1.18+5.37+3.52)=0.313 μD2C2=3.52÷(1.18+1.18+3.52)=0.5986 ②柱 μB2B3=1.18÷(1.18+1.18+5.37)=0.1525 μB2B1=1.18÷(1.18+1.18+5.37)=0.1525 μC2C3=1.18÷(1.18+1.18+5.37+3.52)=0.105 μC2C1=1.18÷(1.18+1.18+5.37+3.52)=0.105 μD2D3=1.18÷(1.18+1.18+3.52)=0.2007 μD2D1=1.18÷(1.18+1.18+3.52)=0.2007 结构一层

①梁 μB1C1=5.37÷(1.18+1+5.37)=0.711 μC1B1=5.37÷(1.18+1+5.37+3.52)=0.485 μC1D1=3.52÷(1.18+1+5.37+3.52)=0.318 μD1C1=3.52÷(1.18+1+3.52)=0.618 ②柱 μB1B2=1.18÷(1.18+1+5.37)=0.156 μB1B0=1÷(1.18+1+5.37)=0.133 μC1C2=1.18÷(1.18+1+5.37+3.52)=0.107 μC1C0=1÷(1.18+1+5.37+3.52)=0.090 μD1D2=1.18÷(1.18+1+3.52)=0.207 μD1D0=1÷(1.18+1+3.52)=0.175

.

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（三）分层法算恒载作用下弯矩

恒载作用下结构三层弯矩分配 表6.3

偏心弯矩分配系数固端弯矩分配传递分配传递分配传递分配传递分配传递分配传递分配传递

合计 一次分配二次分配

.

B

C

D

上上柱 下柱 右梁 B左梁 柱 下柱 右梁 左梁 上柱 下柱 22.07 -14.99 -22.07 0 0.18 0.82 0.533 0 0.117 0.35 0.749 0 0.251 22.07 -65.98 65.98 -14.99 -276.11 212.13 -22.07 7.904 36.006 → 18.003 -71.177 ← -142.355 -47.705 74.165 ← 148.331 32.560 97.403 → 48.702 -13.350 -60.816 → -30.408 -18.239 ← -36.477 -12.224 12.964 ← 25.929 5.692 17.026 → 8.513 -2.334 -10.631 → -5.315 -3.188 ← -6.376 -2.137 2.266 ← 4.532 0.995 2.976 → 1.488 -0.408 -1.858 → -0.929 -0.557 ← -1.115 -0.374 0.792 0.174 0.520 13.883 -13.883 226.915 24.431 -251.346 84.509 -84.509 ↓ ↓ ↓ 4.628 8.144 -28.170 14.650 -13.883 226.915 20.861 -251.346 84.509 -112.810

14.512

-14.512

228.818

21.278

-250.096

105.707

-105.707

恒载作用下结构二层弯矩分配 表6.4

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偏心弯矩 分配系数 固端弯矩 分配传递 分配传递 分配传递 分配传递 分配传递 分配传递 分配传递

0.768 ↑

B

12.717 ↑

C

-28.301 ↑ D

上柱 下柱 右梁 B左梁 上柱 下柱 右梁 左梁 上柱 下柱 0.1525 9.93 10.465 -15.779 -2.047 -0.266 2.304 6.931 5.901

19.86 0.1525 9.93 10.465 -15.779 -2.047 -0.266 2.304 ↓ 0.768 4.431 3.401

0.695 -88.48 47.691 103.466 -71.909 13.422 -9.328 1.741 -1.210 -4.607 -4.607 -9.302

→ ← → ← → ← →

0.477 88.48 23.845 206.932 -35.955 26.843 -4.664 3.482 -0.605 0.452 308.811 308.811 300.595

0.105 -14.175 45.551 5.909 0.766 0.099 38.151 46.295 44.486

-28.35 0.105 -14.175 45.551 5.909 0.766 0.099 38.151 ↓ 12.717 47.232 45.423

0.313 -429.29 -88.506 135.786 -20.320 17.614 -2.636 2.285 -0.342 0.296 -385.113 -385.113 -390.504

← → ← → ← → ←

0.5986 315.57 -177.012 67.893 -40.641 8.807 -5.272 1.142 -0.684 169.804 169.804 191.416

0.2007 -9.93 -59.349 -13.626 -1.768 -0.229 -84.902 -113.072 -105.826

-19.86 0.2007 -9.93 -59.349 -13.626 -1.768 -0.229 -84.902 ↓ -28.301 -92.837 -85.591

合计 一次分配 二次分配

恒载作用下结构一层弯矩分配 表6.5

.

2.127 9.081 -7.935

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偏心弯矩

↑ B

↑

C

↑ D

上柱 下柱 右梁 B左梁 上柱 下柱 右梁 左梁 上柱 下柱 右梁 19.86 -28.35 -19.86 分配系数固端弯矩分配传递分配传递分配传递分配传递分配传递分配传递分配传递

合计 一次 二次

.

0.156 0.133 0.711 0.485 0.107 0.09 0.318 0.618 0.207 0.175 10.72028 9.139723 -88.48 88.48 -15.398 -12.952 -429.29 315.57 -10.76183 -9.098168 -295.93 10.705 9.126 48.789 → 24.394 0.068 ← 0.136 0.046 0.039 83.589 ← 167.178 36.883 31.023 109.614 → 54.807 -13.040 -11.117 -59.432 → -29.716 -16.935 ← -33.871 -11.345 -9.591 11.313 ← 22.626 4.992 4.199 14.835 → 7.418 -1.765 -1.505 -8.043 → -4.022 -2.292 ← -4.584 -1.535 -1.298 1.531 ← 3.062 0.676 0.568 2.008 → 1.004 -0.239 -0.204 -1.089 → -0.544 -0.310 ← -0.620 -0.208 -0.176 0.414 0.091 0.077 0.272 6.381 5.441 -11.822 271.873 27.243 22.915 -322.031 339.859 -23.805 -20.125 -295.930 ↓ ↓ ↓ 2.720 11.457 -10.062 7.149 5.441 -11.822 271.873 36.324 22.915 -322.031 339.859 -52.105 -20.125 -295.930 7.030

5.338

-12.368

267.469

35.352

22.097

-324.919

357.349

-46.247

-15.172

-295.930