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251_Mechanics Homework Mechanics of Materials Solution

# 251_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 3 116 3.116 The solid shaﬁ shown is made of a steel which is assumed to be elastoplastic ' with 7,, = 145 MP3 and G = '77 GPa. The torque T is increased in magnitude until the shaft has been twisted through 6 ° and then removed. Determine (a) the magnitude and location of the maximum residual shearing stress, (.5) the permanent angle of twist of the shaﬁ. SOLUTION c = 0.0I6 m g): 5° :— loqu Madras: . 43 “ﬂ... “(i—(p: _(_____o-o.!6;<:w.72xlo : 0.0027qzs Hsuo‘ -.- W ‘— 0.00|833| Y Iv, _ o.oo:233r TM, ' 0-0017723 C = l} (0.0 ml“ = 102344-40“? m“ .81 . C o. .67'433 J 2’. G I a J a Tr = cit" = Ier‘i’r = ECQOIGWHSHD“) ? 9312.93 Nam Al 3"" 0;, ﬁnding 73...: -‘ 5-710 - 2'; 5&3): g—(eazﬂa )i" -.’:,(o-67t+3.3)3] = 1.19355wa N-m I Unpoaeiina'.‘ data 'r = H].'I‘+3.S'S"x{03 N-m : . 3 . A+ (o: c 45': 1—5— - ""4353” 0'0" i : 178.52x/o‘ Pa J: ' 102.444XIO“ _ l_ , C _ f_ t _ t. M ,0 - [DY .1: - EL {23" — t 173-5'2xlo (0.0433)- I20.32x10 Pa '- Ii- .. l..I¥8~§S'xlo§)(o.6) - -, . = 86.9 Io‘smh GJ C77¥I04X102.-9% war") 4 x 2:96: 2120.4‘1‘ CPP- prﬁnr-d_¢' = HS’on‘- 178.522'40‘ r -3352xto‘ Pat ‘4‘ -33f.5 MP0; N L", = HleO"— l20.38>r(o‘ -.- 29.611HO‘F’q 1‘ R‘LC MP0; Joqnzxto's. 39.34 «0‘3 = I132 ﬁlo-5rd = Lon" ...
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