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. CD FG DE EF ab -6.958 -4.638 -92.4301 -52.6025 -35.0633 -145.033 -127.493 -6.958 -2.319 -92.4301 -52.6025 -17.5316 -145.033 -109.962 -7.537 -3.769 -100.122 -56.9797 -28.4936 -157.101 -128.615 -7.537 -3.769 -100.122 -56.9797 -28.4936 -157.101 -128.615 4.565 4.565 7.759 7.759 -0.5 -0.5 3.261 60.64146 1.304 60.64146 34.5114 24.65316 95.15286 85.29462 34.5114 9.85824 95.15286 35.1918 161.7286 70.4997 .2624 -145.033 -145.033 -157.101 -157.101 95.15286 95.15286 161.7286 161.7286 -10.422 -10.422 -119.916 -119.916 61.92752 61.92752 -20.844 -20.844 -24.2207 -24.2207 -14.3003 -11.5787 10.422 下弦杆 de bc cd Aa Ie Ba He Bb 4.655 103.0706 58.65804 3.103 103.0706 58.65804 23.45868 161.7286 126.5292 -0.5 0 -6.642 -6.642 -3.78 -3.78 -3.78 0 -10.422 -10.422 -10.422 -6.642 -5.753 -4.109 -76.4229 -43.4927 -31.064 -119.916 -107.487 -5.753 -1.644 -76.4229 -43.4927 -12.4286 -119.916 -88.8515 2.971 2.971 -1 -1 -1.162 1.707 39.46676 22.46076 12.90492 61.92752 52.37168 1.264 39.46676 22.46076 -1 0 -0. -13.284 -13.284 -7.56 -7.56 9.55584 61.92752 -7.56 0 -20.844 -20.844 49.0226 -20.844 -13.284 腹 Hd Cb Gd Db Fd Dc Fc Ec 杆 -15.436 -8.78472 -0.4158 -24.2207 -15.8518 -1.162 -1.107 -15.436 -8.78472 -8.36892 -24.2207 -23.8049 -2.7216 -9.51804 -7.50384 -14.3003 -2.7216 -6.79644 -7.50384 -11.5787 3.78 1.89 10.422 8.532 -0.36 -1.259 -4.78224 -0.36 -0.899 -4.78224 0.5 0.25 6.642 表1屋架力组合表
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. 4. 杆件截面选择
腹杆最大力161.7286KN(压)由屋架节点板厚度参考表可知支座支节点板厚度取8mm。
杆件截面选择见下表2
计算长度/mm 名杆件编称 号 力/KN 截面规格 截面面积/cm 2回转半径/cm 长细比 l0x l0y ix iy ?x ?y 容许长细比稳定系数? 计算应力N?A ??? 上弦杆 下弦杆 (Nmm2) AB-HI -157.1 2261 4435.1 2∟ 125?80?8 2∟45?5 2∟45?4 2∟45?4 2∟70?6 2∟70?6 2∟45?4 2∟45?4 2∟45?4 2∟45?4 2∟70?6 2∟70?6 2∟70?6 2∟70?6 2┘┌45?4 32 2.28 6.0 99.2 73.9 150 0.560 87.7 ab-de 161.73 4500 Aa Ie Ba He Bb -10.42 1500 -10.42 1500 -119.9 2718 -119.9 2718 61.93 61.93 2835 2835 4500 1500 1500 2718 2718 3835 3835 1950 1950 3129 3129 3129 3129 2400 8.58 6.98 6.98 1.37 2.18 328.5 206.4 350 1.38 2.16 108.7 1.38 2.16 108.7 69.4 69.4 85.2 85.2 188.5 29.7 29.7 150 0.501 150 0.501 16.32 2.15 3.19 126.4 16.32 2.15 3.19 126.4 6.98 6.98 6.98 6.98 1.38 2.16 1.38 2.16 205 205 150 0.404 181.8 150 0.404 181.8 88.7 88.7 87.6 87.6 45.7 45.7 27.0 21.7 14.9 131.3 350 131.3 350 90.3 90.3 98.1 98.1 98.1 98.1 腹杆 Hd Cb Gd Db Fd Dc Fc Ec -20.84 1950 -20.84 1950 -24.22 3129 -24.22 3129 -14.3 10.42 3129 2400 -11.58 3129 1.38 2.16 141.3 1.38 2.16 141.3 150 0.340 150 0.340 150 0.324 150 0.324 150 0.324 150 0.324 16.32 2.15 3.19 145.5 16.32 2.15 3.19 145.5 16.32 2.15 3.19 145.5 16.32 2.15 3.19 145.5 6.98 1.38 2.16 173.9 111.1 350 表2 屋架杆件截面选择表
4.1 上弦
整个上弦不改变截面,按最大力计算。
最大力为-157.1KN,lox?2261mm,则平面外计算长度:
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. ?N2?145.03???loy?l1?.075?0.25?45220.75?0.215????4435.14mm ??N1?157.10???loy/lox?4435014/2261?1.96
若获得平面?x??yz,则应有ly/lx?1.86,选用两不等肢角钢短肢相并比较适当。
假定没有相似资料参照,故先设?以帮助选择截面。设??70,属于轴心压杆b类,有书上附录查得??0.751。取强度设计值f=215 KN/m2,根据所设的
?,截面应该有
A?N1/?f?157.1?103/(0.751?215?102)?9.73cm2
ix?lox/iy?226.1/70?3.23cm,iy应大于loy/??443.5/70?6.34cm,节点
板厚度??8mm,有型钢表查得2L125?80?8(取a=8mm),并由短肢相并构成压杆,查得A=2×16=32cm2,ix?2.28cm,iy?6.0cm,用实际截面验算。
?y?loy/iy?443.5/6?73.9??x?lox/ix?99.2?150(容许长细比) 对
此
短
肢
相
并
的
不
等
边,
双可
取角
钢
截
面
,,
b1/t?12.5/0.8?16?0.56?443.5/12.5?19.9max??x,?yz???x?99.2,查得??0.560,
?yz??x?73.9N1157.1?103??87.7N/mm2?f?215N/mm2 2?A0.560?32?10所选截面合适。
4.2 下弦
整个下弦杆采用同一截面,按最大力计算。 最大力为161.7KN,loy?lox?450cm
A?N1/f?161.7?103/(215?102)?7.52cm2
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. 选用2L45?5(a取8mm),A=2×4.29=8.58cm2,ix?1.37cm,iy?2.18cm 强度和刚度验算:
NAb161.7?103????188.5N/mm2?f?215N/mm2 2An8.58?10容许的长细比验算:
?x?lox/ix?450/1.37?328.5?350 ?y?loy/iy?450/2.18?206.4?350
所选截面符合要求。
4.3 腹杆A-a与I-e
最大力为-10.42KN,loy?lox?150cm
A?N/f?10.42?103/(215?102)?0.484cm2
选用2L45?4(a取8mm),A=2×3.49=6.98cm2,ix?1.38cm,iy?2.16cm 容许的长细比验算:
?x?lox/ix?150/1.38?108.7?150 ?y?loy/iy?150/2.16?69.4?150
强度和刚度验算:
根据??108.7查得??0.501
10.4?10322 ????29.7N/mm?f?215N/mm2?A0.501?6.98?10所选截面符合要求。
N4.4 腹杆B-a与H-e
最大力为-119.9KN,loy?lox?271.8cm
A?N/f?119.9?103/(215?102)?5.58cm2
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