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372_Mechanics Homework Mechanics of Materials Solution

372_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 4.101 and 4.102 A bending couple is applied to the bar indicated, causing plastic { PROBLEM 4.102 zones 20-min thick to develop at the top and bottom of the bar. Afier the couple has i] beenremoved, determine (a) the residual stress at y=30 mm, (b) the points where the , '~ y residual stress is zero, (6) the radius of curvatlu-e eorrespmlding to the permanent ‘O 2 defamation of the bar. 4.102 Bar of Prob. 4.84 SOLUTION Se; SOLUTION bio 99091.5»! 4 8’4 p0,. Benoknj couple and 10mm__1 ‘ ‘ L—IOmm siress oil's-1'01) uHov aluw‘nj loading. M : 8.00 kH—Im J’r: low. = 0.010.“ E = 200 694. 6, = 240 MPa I - 706.67rlo" m” c. = 0.030 m I MIC .— W = 337.cy/0°P4= 331:; Has. 6 6'“: 1%)? :- MM : ”3.2):(0‘ 13¢" : “3.2 ”Pa, A+ j=c €m=6'—6; = 337.6 '2‘“? = 97.5 MP4 -n 6”-6} e “3.2 - 2w r -I26.‘3 MPa .J/‘i \\__/' 33?.6 “Pa an: M9,, - 124.8 HPq HQ? MFA. -316 “Pa. LOADING UNLOADING RESIDUAL sresssss (b‘ Greg, ': O :— Efiifi‘” 6f : O _ 16v (7oe.é7xlo“")(2t10rzo )_ «s __ a 3/0 " M :W— -. 2LZXJO M ZLQ MM m; ans‘ 3°: -2L2h-m)0) 2!.2 MM 4 i L cm H j? y 6“,: — 1126.8 x10“ 'Po. 3 " .o: 6:“E .'. Fr-%:%315.77M "'- ...
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