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148_Mechanics Homework Mechanics of Materials Solution

# 148_Mechanics Homework Mechanics of Materials Solution - O...

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Unformatted text preview: O O 2.111 Two tempered-steel bars, each lﬁnin. thick, are bonded to a i- -in. mild-steel PROBLEM 2.115 bar. This composite bar is subjected as shown to a centric axial load of magnitude P. Both steels are elastoplastic with E = 29 X 106 psi and with yield strengths equal to 100 ksi and 50 ksi, respectively, for the tempered and mild steel. *2.115 For the composite bar of Prob. 2.111, determine the residual stresses in the tempered-steel bars if P is gradually increased from zero to 98 kips and then decreased back to zero. SOLUTION Areas 5 MUM steep A, = (-3.1)(13 = l. 00 4.141 Tempe-reef S'l'eeﬁ A; 2 (2X73: :2) = 0.7551" 73%}: A = A.+A, = L75 w." Tole) fame +0 rtdal Hm. wt!!! glee} 6}, J. P, = A6}. = (msXs’oxiO‘) = 87.50 :403 Job. Heme,” mu 5+") Wu: “Force combed! lax, MCI-i sf‘ge/ ‘P; " 'Pbl‘ce carrieJ by +emPe¢e¢l 5+¢eﬂ P. = A.6’r. = (Loowsowm = so no" 1%- Pz= P—R -.- Gum‘- some: = 48m; 1’1). Harms g s 0.15 - G‘HIO PSI 3 Uhpvaalhiﬂ 6' = “I; '4 anlo 1-" 565(10‘ Fsc‘ 1.75 Pesi‘alurj stresses so Xioz—S‘isxaos = -—6 xlo‘ﬁn.» = ‘6 k9; —- 3 tempeweal steel} 6;)": '—‘ 61- 5‘, 2 6Hx103-— béwlo ': 3 “£03,051. :2 3 H3? ...
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