工字钢集中荷载计算

32A工字钢,跨度8米,用着吊梁中间最大能起吊多少重量。
2025-03-16 04:25:46
推荐回答(1个)
回答1:

按强度控制:50KN

钢梁钢材:Q235
梁跨度(m): 8.000
梁平面外计算长度(m): 8.000
钢梁截面:普通热轧工字钢: I32a
容许挠度限值[υ]: l/200 = 40.000 (mm)
强度计算净截面系数:0.950
计算梁截面自重作用: 计算
简支梁受荷方式: 竖向单向受荷
荷载组合分项系数按荷载规范自动取值
1、截面特性计算

A =6.7120e-003; Xc =6.5000e-002; Yc =1.6000e-001;
Ix =1.1080e-004; Iy =4.5900e-006;
ix =1.2850e-001; iy =2.6200e-002;
W1x=6.9250e-004; W2x=6.9250e-004;
W1y=7.0600e-005; W2y=7.0600e-005;
2、简支梁自重作用计算

梁自重荷载作用计算:

简支梁自重 (KN): G =4.2151e+000;
自重作用折算梁上均布线荷(KN/m) p=5.2689e-001;
3、梁上恒载作用

荷载编号 荷载类型 荷载值1 荷载参数1 荷载参数2 荷载值2
1 4 50.00 4.00 0.00 0.00
4、单工况荷载标准值作用支座反力 (压为正,单位:KN)

△ 恒载标准值支座反力

左支座反力 Rd1=27.108, 右支座反力 Rd2=27.108
5、梁上各断面内力计算结果
△ 组合1:1.2恒+1.4活
断面号 : 1 2 3 4 5 6 7
弯矩(kN.m): -0.000 21.546 42.810 63.794 84.496 104.918 125.058
剪力(kN) : 32.529 32.108 31.686 31.265 30.843 30.422 -30.000
断面号 : 8 9 10 11 12 13

弯矩(kN.m): 104.918 84.496 63.794 42.810 21.546 -0.000
剪力(kN) : -30.422 -30.843 -31.265 -31.686 -32.108 -32.529
△ 组合2:1.35恒+0.7*1.4活

断面号 : 1 2 3 4 5 6 7
弯矩(kN.m): -0.000 24.239 48.161 71.768 95.058 118.032 140.690
剪力(kN) : 36.595 36.121 35.647 35.173 34.698 34.224 -33.750
断面号 : 8 9 10 11 12 13

弯矩(kN.m): 118.032 95.058 71.768 48.161 24.239 -0.000
剪力(kN) : -34.224 -34.698 -35.173 -35.647 -36.121 -36.595
6、局部稳定验算
翼缘宽厚比 B/T=3.38 < 容许宽厚比 [B/T] =15.0
腹板计算高厚比 H0/Tw=28.11 < 容许高厚比[H0/Tw]=80.0
7、简支梁截面强度验算
简支梁最大正弯矩(kN.m):140.690 (组合:2; 控制位置:4.000m)
强度计算最大应力(N/mm2):203.672 < f=215.000
简支梁抗弯强度验算满足。
简支梁最大作用剪力(kN):36.595 (组合:2; 控制位置:0.000m)
简支梁抗剪计算应力(N/mm2):13.924 < fv=125.000
简支梁抗剪承载能力满足。
8、简支梁整体稳定验算
平面外长细比 λy:305.344
梁整体稳定系数φb:0.450
简支梁最大正弯矩(kN.m):140.690 (组合:2; 控制位置:4.000m)
简支梁整体稳定计算最大应力(N/mm2):451.474 > f=215.000
简支梁整体稳定验算不满足! *****
9、简支梁挠度验算
△ 标准组合:1.0恒+1.0活

断面号 : 1 2 3 4 5 6 7
弯矩(kN.m): -0.000 17.955 35.675 53.161 70.413 87.431 104.215
剪力(kN) : 27.108 26.756 26.405 26.054 25.703 25.351 -25.000
断面号 : 8 9 10 11 12 13

弯矩(kN.m): 87.431 70.413 53.161 35.675 17.955 -0.000
剪力(kN) : -25.351 -25.703 -26.054 -26.405 -26.756 -27.108
简支梁挠度计算结果:

断面号 : 1 2 3 4 5 6 7
挠度值(mm): 0.000 6.109 11.870 16.936 20.969 23.631 24.591
断面号 : 8 9 10 11 12 13

挠度值(mm): 23.631 20.969 16.936 11.870 6.109 0.000
最大挠度所在位置: 4.000m

计算最大挠度: 24.591(mm) < 容许挠度: 40.000(mm)
简支梁挠度验算满足。

****** 简支梁验算不满足!*****
====== 计算结束 ======

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