王明明:某框架结构高校办公楼设计
51.4144.357.1152.1618.4530.1759.6759.6715.4815.488.5433.7433.7457.1154.5254.527.227.225.4425.1416.0625.1416.0636.0636.0652.2752.278.378.376.1518.3019.5718.3019.5738.2738.2753.2153.218.388.386.1618.6020.5818.6020.5837.7237.7251.419.8151.419.8151.4144.352.1630.1718.4550.0122.0124.4650.0124.4622.0150.1324.4721.8550.1321.8524.4746.4015.0827.8246.4027.8215.087.5923.3512.6223.3512.6240.5040.507.546.327.54
图3-4 恒载作用下弯矩图(kN·m)
- 18 -
安徽工程大学毕业设计(论文)
56.01112.92-58.5111.62120.48-11.62-58.51120.4856.01112.92131.6745.78205.80139.23-46.5010.36240.50139.23-10.36-46.50240.50131.6745.78205.80224.5545.80298.70259.25-46.4810.36360.50259.25-10.36-46.48360.50224.5545.80298.70317.47391.47379.2545.67-46.61480.6310.36379.25-10.36-46.61480.6345.67317.47391.47410.2245.38483.95499.38-46.9010.36601.05499.38-10.36-46.90601.05410.2245.38483.95509.58626.68626.68509.58
图3-5 恒载作用下梁剪力、柱轴力(kN)
3.2 活载作用下的框架内力 1.梁固端弯矩 (1)顶层
MF5H5=-MF5H5=-ql2(1-2G2/l2+G3/l3)/12= -8.86N·m MH6F6=-5ql2/96= -0.72N·m MF6H6=-ql2/32= -0.43KN·m (2)二~五四层横梁
MF1H1=-MH1F1=-ql2(1-2G2/l2+G3/l3)/12= -25.31KN·m MH1F1=-5ql2/96= -2.05KN·m MF1H1=-ql2/32= -1.23KN·m
2.纵梁偏心引起柱端附加弯矩(边框架纵梁偏向外侧,中框架纵梁偏向内侧)
顶层外纵梁 MF5= –MJ5=0.33kN·m (逆时针为正) 楼层外纵梁 MF1=–MJ1=0.88 kN·m 顶层中纵梁 MH5= –MI5=-0.75 kN·m
- 19 -
王明明:某框架结构高校办公楼设计
MH5= –MI5=-0.34kN·m (仅HI作用活载)
楼层中纵梁 MH1= –MI1= –2.07kN·m MH1= –MI1= –0.96 kN·m (仅HI作用活载) 3.本工程考虑如下四种最不利组合
(1)顶层边跨梁跨中弯矩最大,见图3–6
(2)顶层边柱柱顶左侧及柱底右侧受拉最大弯矩,见图3–7 (3)顶层边跨梁梁端最大负弯矩,见图3–8 (4)活载满跨布置,见图3–9
图3-6 活载不利布置a 图3-7 活载不利布置b
- 20 -
安徽工程大学毕业设计(论文)
图3-8 活载不利布置c 图3-9 活载不利布置d
4.各节点不平衡弯矩
当FH跨布置活载时: MF5=MF5H5+MF5=-8.53KN·m
MF1=MF2=MF3=MF4= MF5=MF1H1+MF1=-24.43KN·m ME6=ME6G6+MG6=8.53KN·m
ME1=ME2=ME3= ME4= ME5=ME1G1+MG1=24.43KN·m 当HI跨布置活载时:
MH5=MH5F5+MH5=-1.06KN·m
MH1=MH2=MH3= MH4= MH5=MH1F1+MH1=-3.01KN·m 当FH跨和HI跨均布置活载时:
- 21 -
王明明:某框架结构高校办公楼设计
MF5=MF5H5+MF5=-8.53KN·m
MF1=MF2=MF3= MF4= MF5=MF1H1+MF1=-24.43KN·m MH5=MH5F5+MH5+MH5F5=7.39KN·m
MH1=MH2=MH3= MH4= MH5=MH1F1+MH1+MH1F1=22.16KN·m 5.内力计算:
采用―迭代法‖计算,迭代计算次序同恒载,如图3–10、图3–13、图3–16、图3–19。 活载(a)作用下梁弯矩、剪力、轴力如图3–11、图3–12 。 活载(b)作用下梁弯矩、剪力、轴力如图3–14、图3–15 。 活载(c)作用下梁弯矩、剪力、轴力如图3–17、图3–18 。 活载(d)作用下梁弯矩、剪力、轴力如图3–20、图3–21 。
- 22 -