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353_Mechanics Homework Mechanics of Materials Solution

# 353_Mechanics Homework Mechanics of Materials Solution - E...

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Unformatted text preview: E: PROBLEM 4.79 T 0.75 in i L~ 0.15 an—aJ E- Pr .8 Pr 8? l C. PROBLEM 4.80 4.19 A solid square rod of side 0.75 in. is made of a steel that is assumed to be elastoplastic with E = 29 x 10‘ psi and a, 3. 40 ksi. Determine the maximum stress and the radius of mature caused by a 4 kip-in. couple applied and maintained about an axis parallel to a side of the cross section. SOLUTION = 7'5ka = ﬁ(o.15ﬁ(o.7s)3 :- C: {1. 2 0.375 in , g1; _ (40)(0.026367) _ _ l MJ- c --——-—-—O 375 — 2.3125 kip-m. M=§Mf(i-.3L%r1)or %"= .1/3."Z% =-p/3"-_2m =J3 —é%§l =o.3‘i’-Hl ES- =L—L———_“‘?” 0‘3“” 7E1: 271.33 in Wuw 0. 026367 w (27:..88Xo 37441): 107.2 in -_~ 8.944% 4. 80 The prismatic rod shown' ls made of a steel that' IS assumed to be elastoplastie with E= 200 GPa and ar— - 280 MPa. Knowing that couples M and M' of mmnent 525 N m are applied and maintained about axes parallei to they axis, determine (a) the thickness of the elastic core, (11) the radius of curvature of the bar. SOLUTION l = 1': H13: 3:1(2'430933: r:.cc4xlo”m“ = ”maniac“ w." crah=9mm =o.oo‘?m 651' , (zeowo‘1(u.66hlo“) : c ’ 0.00? M=Ewo~sﬁi 0.32632 J y, = 0.32632 c tupg: QJY’ :- 5-87 MM _ 200x:o?)(2ﬂ3¢3 we") __ .70? _- -.(____—_ _ . m 230 ”K 104 ...
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