0 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Mechanical Engineering 2.001-Mechanics of Materials I Spring,2003 Solutions for Final Exam Problen I Ra R=RLx) :Rn+(。R) 工p”至R4 =苔[R+(=e)xj 中 angte gtisk d 装 G 西写 票[女+] d C工d ah z=l 中x重在la止风gud 36天(-R)R a1(Rs'-R3) 玉 G[R+
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Prsblu 3 T Ts 35 KN-m 3 P-2200 X10 N A=至-()月 4 T。3.Sx1o6N.mm =448mm2 3 6g=卫=200x A 32 448 32 =3.106xomm 545.2￥ Nmm 0 T=37.s T×3￥S =3.SK×375 =42.26mn2 p 3.106x1o6 e make uge g风Mitss tiele 6n R=RadiyTha civele =竖)+ 4￥.94 6=些+尺：45：2号+4￥94 E To.S8 Nh 2 62=竖-R=45,2-4x94=-25.31 N/2 2 0时w=R”4t.4 N
Prob lin 4 ④. a) Ry=P AM P.L -M =07 AM=M一PL M(x)=六M+乃A.元 M-PL +Px M-P(L-x) M-PL b Laleulite the elathe cume Eu4=n(%)=M-PL+PX· EE'=Mx-PLx+P头+C 2 EIu ++C2 a 习 -+学] =吉[PL]
Pr66lw≤ Aaleulate to deflechion at prink D. M Paint B M=p.e 4在[些婴+装] 。tr[e2-pe+坚] P2 aer DiplaaepitD 3 。=4g-ua'l-Pe 3EI 3 -P - Pe pe' 6EI 3EI BEI 。一 置
Prsble 6 Caleulat 长一名水一0w Aefteetrm 细 Lek s=deflechion ak poiink c. F÷ ru你wiy。6(心t中u山 W=Weiyth achny doms Lo P- W-F =w-ks. 3 S=Pe, Ba 2 无 E工 tlrh以 aubunk to irleult 8a tnide te b地vny bnm il cuil i caleulabiy nppmnse i 86 =-Me fum tlla. EI 耍P0, -P04 3ET -7 8=Pez -(-P&)0, 3e1 3ET 2 =2 +g兴。A[uk.-6k6,+w,-sk] 3ET 3E1 = W2(0+4)-g(4+8) 6（1+k&(a+)-W,(6+8BE工 三) s=w+8/3Er+e,+4)》