第一章 参考答案 1-1: 解: (a):N1=0,N2=N3=P (b):N1=N2=2k N (c):N1=P,N2=2P,N3= -P (d):N1=-2P,N2=P (e):N1= -50N,N2= -90N (f):N1=0.896P,N2=-0.732P 注(轴向拉伸为正,压缩为负) 1-2: 解: σ 1= 2118504PkNSd=35.3Mpa σ 2=2228504PkNSd =30.4MPa ∴σmax=35.3Mpa 1-3:解: 下端螺孔截面:σ1= 19020.065*0.045PS =15.4Mpa 上端单螺孔截面:σ2= 2PS =8.72MPa 上端双螺孔截面:σ 3= 3PS =9.15Mpa ∴σ max=15.4Mpa 1-4:解: 受力分析得: F1*sin15=F2*sin45 F1*cos15=P+F2*sin45 ∴σ AB= 11FS =-47.7MPa σ BC=22FS =103.5 MPa 1-5:解: F=6P S1=h*t=40*4.5=180mm2 S2=(H-d)*t=(65-30)*4.5=157.5mm2 ∴σ max=2FS =38.1MPa 1-6:解: (1)σ AC=-20MPa,σ CD=0,σ DB=-20MPa; △ l AC=NLEA =ACLEA=-0.01mm △ l CD=CDLEA=0 △ L DB=DBLEA=-0.01mm (2) ∴ABl=-0.02mm 1-7:解: 31.8127ACACCBCBPMPaSPMPaS ACACACLNLEAEA1.59*104, CBCBCBLNLEAEA6.36*104 1-8:解: NllEAll NEA 62.54*10NEAN 1-9:解: 208,0.317EGPa 1-10: 解: max59.5MPa 1-11:解:(1)当45o , 11.2强度不够 (2)当60o , 9.17 强度够 1-12:解: 360,200200200*1013.3100*150*10YpkNSPkNSMPaA 1-13:解: max200213MPaMPa 1-14:解:1.78,1.26dcm dcm拉杆链环 1-15 解: 2 2BCFQ=70.7 kN 70.70.505140FSFS 查表得: 45*45*3 1-16 解:(1) 2401601.5ssn MPa 24PSPd 24.4Dmm (2) 2119.51602PPMPaMPaSd 1-17 解:(1) 2*250*6154402DFPAN 78.4ACFMPaS 3003.8378.4sn ''''60*3.14*15*1542390FSFSN '61544014.521542390FnF 1-18 解:P=119kN 1-19 解: ::3: 4:535()44ABBCABBCSP SSPSP拉, 112841123484ABABSAkNSPkNPkN同理 所以最大载荷 84kN 1-20 解: P=33.3 kN 1-21 解: 71,,12123ABCPFFP FP 1-22 解: 10MAXMPa 1-23 解: 0ABXRRR trll tA Bllt 212111112235331 3 1 .3cdRACDBCDACCDCDAFCDMAXRlRlllllEAEARlRlRllEAEAEAEA tEA tRlSMPaA