2022年天津大学版工程力学习题答案 .pdf
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1、3-10 求图示多跨梁支座A、C 处的约束力。已知M=8 kN m,q=4 kN/m,l=2 m。解:(1)取梁 BC 为研究对象。其受力如图(b)所示。列平衡方程(2)取整体为研究对象。其受力如图(c)所示。列平衡方程3-11 组合梁AC 及 CD 用铰链C 连接而成,受力情况如图(a)所示。设F=50 kN,q=25 kN/m,力偶矩 M=50 kN m。求各支座的约束力。Bq 2l l C FB FC(b)M(c)Bq A 2l l 2lC FC MA FA M(a)Bq A 2l l 2lC 习题 3-10 图kN1842494902332,0qlFllqlFMCCBkN6243183
2、03,0qlFFlqFFFCACAymkN32245.10241885.10405.334,022qllFMMllqlFMMMCACAA解:(1)取梁 CD 为研究对象。其受力如图(c)所示。列平衡方程(2)取梁 AC 为研究对象。其受力如图(b)所示,其中FC=FC=25kN。列平衡方程习题 3-11 图2m 2mC DM qFC FD 2m 1m 2m2m1mC BDAM F(a)q(b)一(c)一FC1m 2m1mBAF FA FB qC kN25450252420124,0MqFMqFMDDCkN25450256460324,0MqFMqFMCCD)kN(252252252502220
3、21212,0CACABFqFFFqFFMkN150225425650246043212,0CBCBAFqFFFqFFM文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9
4、Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV
5、5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1
6、W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10
7、E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:
8、CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 H
9、I1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y86-1 作图示杆件的轴力图。解:在求 AB 段内任一截面上的轴力时,在任一截面1-1 处截断,取左段为脱离体(图 c),并设轴力FN1为拉力。由
10、平衡方程求出:kN201NF同理,可求得BC 段任一截面上的轴力(图d)为kN204020N2F求 CD 段内的轴力时,将杆截开后取右段为脱离体,并设轴力FN 3为拉力(图e)。由kN002525,0N3N3FFFx同理,可得DE 段内任一横截面上的轴力FN 4为(图 f)kN254N4FF按轴力图作图规则,作出杆的轴力图(图g)。6-8 图示钢杆的横截面面积为200mm2,钢的弹性模量E=200GPa,求各段杆的应变、600 300 500 400 A B C D E 40kN 20kN 25kN 25kN(a)A B C D E 40kN 20kN 25kN 25kN 20kN1 1 FN
11、2A B 40kN 2 2 2 2 3 3 4 4 FN325kN 25kN D 3 3(b)(c)(d)(e)20 20 20 FN图(kN)(g)习题 6-1 图FN420kN4 41 1(f)20kNFN1A 20kN20kN文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1
12、W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10
13、E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:
14、CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 H
15、I1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR
16、10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编
17、码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8伸长及全杆的总伸长。解:(1)由
18、截面法直接作轴力图(2)计算各段截面的应力(1)计算各段截面的应变(2)计算各段截面的的伸长(3)计算杆件总伸长6-9 图示一阶梯形截面杆,其弹性模量E=200GPa,截面面积 A=300mm2,A=250mm2,A=200mm2,作用力F1=30kN,F2=15kN,F3=10kN,F4=25kN。试求每段杆的内力、应力、应变、伸长及全杆的总伸长。解:(1)由截面法直接作轴力图(2)计算各段截面的应力1.2m 0.6m 1m 0.8m A B C D E40kN 55kN 25kN 20kN 习题 6-8 图轴力图10kN 5kN 50kN20kN 2m1.5m1mF2 F3 FF习题 6-
19、9 图轴力图30kN 15kN25kN 文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E
20、9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:C
21、V5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI
22、1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR1
23、0E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码
24、:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8
25、HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8文档编码:CV5H8J6O1O8 HI1W2A6L1C1 ZR10E9Y8M1Y8(3)计算各段截面的应变(4)计算各段截面的的伸长(5)计算杆件总伸长6-11 图示一三角架,在节点 A 受 F 力作用。设 AB为圆截面钢杆,直径为d,杆长为 l1;AC 为空心圆管,截面积为A2,杆长为l2。已知:材料的
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