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235_Mechanics Homework Mechanics of Materials Solution

# 235_Mechanics Homework Mechanics of Materials Solution - Q...

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Unformatted text preview: Q Lu Q I 4 En \J ALIA-“ . PROBLEM 3.94 3.94 A 54-mm-diameter solid shaft is made of mild steel which is assumed to be elastoplastie with 13. = 145 MP3. Determine the maximum shearing stress and the radius of the elastic core caused by the application of a torque of magnitude (a) 4 SOLUTION kN-m, (b) 5 kN-m. “slid = 0.02")»: Tyrltlswo‘ Po. ComPui-e TV ‘1} =- H-c‘fr =¥(0.027)3(wsxto‘) : 1-}.6‘88110‘ N-m [on T = 4.0x 103 NM 4 1:. epui‘l‘c {0: c = 27mm 4 ’t = Tc _ 31 _ amnion = ”IT— ‘ ‘ITC‘ ' when? Us) T = 520 M03 NM > 1} ppm-H6: region wiH capasi'n'c Cure. The Maximum Shearing sivess is They: TY "-'-' [45 MP9- ‘3'“ - ‘* (1- 333 T3” ETY C.‘ B: ._. ,_3._T - -M , a, L} "l? ' 4 ‘ﬂ‘laawo‘ 0.6540 c ' 0‘86“ 0.8680 c a (o,2gso)(n.027l = 0.023%". -.= 23.4 m. - lQ‘MIIO‘ Pa. = 129.4 mm. «a PROBLEM 3.95 3-95 A l.S-in.-diameter solid shaﬂ is made of mild steel which is assumed to be elastoplastic with :3. = 21 ksi. Determine the maximum shearing stress and the radius of the elastic core caused by the application of a torque of magnitude (a) 12 kip-in. , (b) SOLUTION 13 kip-in. grub! = 0.75;” teem u..- a} Compo‘i'e TY T, = LEE-‘1': Ec’z’, eyonsﬂm 2 ram; town eﬂast'ic f9 =c = 0.7.5" in. ca ‘ (n . - TTC" 9 % : I8.“ kSI " T: 33 kip-in > 7; Pﬂu‘t'ic region with eﬂu'i'r‘c core. The maximum Sheart‘nj sires: Is Zing: ’23,: = 2' 163 L} _ m .. 0.11%“? é: = O.#9265‘ 13.?!4 = (0.492(5‘X03s) = 0.36“! .‘n, .4 ...
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