2×(1.5+3.6)×2.1\\2=10.71kN
柱中集中荷载: 17.19+17.19=34.38kN 对柱形心的偏心弯矩: 17.19×(0.25-0.125)=3.0kN·m
六层:柱中集中荷载: 17.19＋17.19＋17.19=51.57kN 五层:柱中集中荷载: 17.19＋17.19＋17.19＋17.19=68.76kN 四层:柱中集中荷载: 17.19×5=85.95kN 三层:柱中集中荷载: 17.19×6=103.14kN 二层:柱中集中荷载: 17.19×7=120.33kN 底层:柱中集中荷载: 17.19×8=137.52kN
一～六层对柱形心的偏心弯矩: 17.19×(0.25-0.125)=3.0kN·m
C轴线列柱各柱中集中荷载同B轴线列柱,D轴线列柱各柱中集中荷载及偏心弯矩
同A轴线列柱, 楼面活荷载分布如图3.2所示。
作用于梁上的活载 作用于柱上的活载
图3.2 活载作用下框架计算简图
3.3 风荷载
风荷载计算单元为3.6m宽,沿竖向分布的单位面积荷载计算公式为w=βZμSμZω0 ,
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其中w0=0.35kN/m,分迎风面和背风面计算分布荷载,然后转化成节点荷载。
βZ 计算表 表3.1
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层 8 7 6 5 4 3 2 1
高度H 26.85 23.55 20.25 16.95 13.65 10.35 7.05 3.75 Z/H 1.000 0.877 0.754 0.631 0.508 0.385 0.263 0.140 μZ 0.950 0.897 0.844 0.779 0.74 0.74 0.74 0.74 φZ 1.000 0.844 0.698 0.500 0.350 0.217 0.110 0.036 βZ 1.569 1.508 1.447 1.347 1.255 1.158 1.080 1.026 风荷载计算 表3.2
层 8 7 6 5 4 3 2 1 βZ μs Z(m) 26.85 23.55 20.25 16.95 13.65 10.35 7.05 3.75 μz ω0 kN/m2 A(m2) PW(kN) 1.569 1.3 1.508 1.3 1.447 1.3 1.347 1.3 1.255 1.3 1.158 1.3 1.080 1.3 1.026 1.3 0.950 0.35 0.897 0.35 0.844 0.35 0.779 0.35 0.74 0.74 0.74 0.74 0.35 0.35 0.35 0.35 10.98 7.45 11.88 7.31 11.88 6.60 11.88 5.67 11.88 5.02 11.88 4.63 11.88 4.32 13.50 4.66 风荷载计算过程见上表3.1,表3.2,风荷载计算简图如图3.3所示.
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图3.3 风荷载作用下框架计算简图
3.4地震荷载
3.4.1 重力荷载代表值计算
所谓重力荷载代表值是指的一个变形缝范围内楼层所有恒载与活荷载标准值的
组合值，即恒载＋0.5活载,具体计算结果如下: ① 柱自重统计:
二～八层各层柱自重及抹灰: 4*18×(0.5×0. 5×3.3×25+4×0.5×0.02×3.3×17)=1646.57kN
底层柱自重及抹灰: 72×(0.5×0.5×4.52×25+4×0.5×0.02×4.52×17)=2255.30kN ② 梁自重统计:
一～八层梁自重及抹灰: a. 主要纵向梁 250×500
68×[0.25×(0.5-0.1)×3.6×25＋2×0.02×(0.5-0.1)×3.6×17] =678.58kN
b. AB、CD跨横向梁 250×650
36×[0.25×(0.65-0.1)×6.9×25＋2×0.02×(0.65-0.1)×6.9×17] =946.78kN
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c. BC跨横向梁 250×400
18×[0.25×(0.4-0.1)×2.1×25＋2×0.02×(0.4-0.1)×2.1×17] =78.58kN d. 次梁 250×400
24×[0.25×(0.4-0.1)×(3.6+2.1)×25＋2×0.02×(0.4-0.1)×(3.6+2.1)×17] =284.4kN ③ 墙体门窗重 二～八层:
门窗自重: 1.8×1.8×8×0.25×0.4+0.9×1.2×0.25×20×0.4+1.5×1.8×0.25×20×0.4+1.5×3×0.25×2×0.4+1×2.1×22×0.2×0.4+1.8×2.4×0.2×2×0.4+1.5×2.1×0.2×0.4+0.8×2.1×0.1×20×0.4=33.534kN 内墙自重(含抹灰): [(6.9-0.375-0.4)×17×3.3-1×2.1×2]×（0.2×8+0.02×17×2 ）+[(3.6-0.5)×3.3-1.0×2.1]×20×（0.2×8+0.02×17×2+[(1.5+2.1)×3.3-0.8×2.1]×20×（0.1×8+0.02×17×2）+(3.6-0.25-0.375)×2×3.3×（0.2×8+0.02×17×2 ）+[(3.6-0.5)×3.3-1.5×2.1]×2×(0.2×8+2×0.02×17）+[(3.6-0.5)×3.3-1.8×2.4]×2×(0.2×8+2×0.02×17)+[(3.6-0.5)×3.3-1×2.1]×(0.2×8+0.02×17×2 )+[(3.6-0.125-0.375)×3.3-1.5×2.1]×(0.2×8+0.02×17×2 ) +2.4×3.3×2×(0.2×8+0.02×17×2)=1621.3kN 外墙自重(含抹灰):｛[(61.45-18×0.5)×3.3-0.9×1.2×13-1.5×1.8×13-1.8×1.8×2+[3.3×(16.15-4×0.5)-1.8×1.8]×2+3.3×(61.45-3.6-16×0.5)-0.9×1.2×7-1.5×1.8×7-1.8×1.8×4-3×1.5-3×1.5+2.05×3.3×2+0.6×2×3.3+2.6×3.3+1.27×2×3.3｝×(0.25×8+0.02×17×2)=837.96kN 底层:
外墙自重(含抹灰):[(61.45-18×0.5-3.6×2)×4.52-0.9×1.2×7-1.5×1.8×7-1.8×1.8×4+1.27×2×4.52+1.6×2×3+2.05×2×4.52]×（0.25×8+0.02×17×2）+[(16.15-0.5×4)×4.52-1.8×1.8]×2×0.25×8+[(16.15-0.5×4)×4.52-1.8×1.8]×2×0.02×17×2+[(61.45-16×0.5)×4.52-0.9×1.2×9-1.5×1.8×9-1.8×1.8×3-3×2.7×2]×（0.25×8+0.02×17×2 ）=1213.15kN
内墙自重(含抹灰):[(61.45-14×0.5-3.6×2-1×11-1.5)+(61.45-14×0.5-3.6×2-1.5×2-1.8×2)]×3.3×(0.2×8+0.02×19×2)+(6.9-0.375-0.4)×(0.2×3.3×27×8+0.02×3.3×19×2×27)-1×2.1×0.02×19×2×2+(1.5+2.1-0.8)×0.1×3.3×8×17-1×2.1×0.02×19×
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2×2+(1.5+2.1-0.8)×3.3×0.02×19×16-1.2×1.8×0.2×8×2=1869.12kN
门窗自重: [1.8×1.8×0.25×7+1.2×1.8×0.2×2+1.5×3×0.25×2+0.9×1.2×0.25×18+1.5×1.8×0.25×18+1.8×2.4×0.2×2+1.5×2.1×0.2+1×2.1×0.2×20+3×2.7×0.25×2]×0.4+0.8×2.1×0.1×16×0.4=34.678kN ④ 突出屋面部分自重
女儿墙自重(含抹灰): (61.45＋16.15)×2×2×0.02×17×1.4＋(0.25×61.45×1.4+0.25×16.15×1.4))×2×8=528.28kN
突出屋面楼梯间墙体(含抹灰):[3.6+6.9+6.9-0.5×3+1.8+1.0×2+2.05×2+0.6×2]×2.7×0.25×8+1.6×2.5×0.3×0.4+1.8×2.4×0.25×0.4+[3.6+6.9+6.9-0.5×3+1.8+1.27×2+2.6+0.6]×2.7×0.25×8+1.6×2.5×0.3×0.4+1.8×2.4×0.25×0.4+[3.6+6.9+6.9-0.5×3+1.8+1.0×2+2.05×2+0.6×2]×2×0.02×17×2.7+[3.6+6.9+6.9-0.5×3+1.8+1.27×2+2.6+0.6]×2×0.02×17×2.7=352.34kN
突出屋面电梯间墙体(含抹灰):2×[(3.6+6.9+6.9-0.5×3+2-0.5)×4.7×0.25×8+1.0×0.25×0.4×2.1]+2×[(3.6+6.9+6.9-0.5×4+2)4.7×0.02×17×2]=438.76kN
突出屋面柱子自重(含抹灰):6×0.5×0.5×2.7×25＋6×0.5×0.5×4.7×25＋6×4×0.5×2.7×0.02×17＋6×4×0.5×4.7×17=384.40kN
突出屋面梁重（含抹灰）：4*[0.25×(0.5-0.1)×3.6×25＋2×0.02×(0.5-0.1)×3.6×17] +3*[0.25×(0.65-0.1)×6.9×25＋2×0.02×(0.65-0.1)×6.9×17] =118.94KN ⑤ 屋面及楼面恒载
屋面恒载: 5.48×61.45×16.15=5438.45kN 楼面恒载: 3.56×(61.45×16.15-4×3.6×6.9)=3179.28kN ⑥ 楼梯间恒载 1.5×3.56×2×3.6×6.9=265.29kN ⑦ 活荷载
屋面活荷载： 2×61.45×16.15=1752.28kN 一～八层楼面活荷载： 2×61.45×16.15=1752.28kN
经统计，G1=10192.98kN G8=11247.5kN G9=3526.5kN
G2=G3=G4=G5=G6=G7=9610.35kN
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