149_Mechanics Homework Mechanics of Materials Solution

149_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 2.1!] Two tempered-steel bars, each fig-in. thick, are bonded to a zi-in. mild-steel bar. This composite bar is subjected as shown to a centric axial load of magnitude P. Both sleels are elastoplastie with E= 29 K 106 psi and with yield strengths equal to [00 ksi and 50 ksi, respectively, for the tempered and mild steel. PROBLEM 2.116 *2.116 For the composite bar in Prob. 2.111, determine the residual stresses in the tempered—steel bars if P is gradually increased from zero until the defon'nation of the bar reaches a maximum value 6,“ = O. 0 H in. and is then decreased back to zero. SOLUTION For “Hie manic; S+€Cp A; :(é‘K23 '= LOO hit-L S _ L614: _ (”Kb-OXIDE) _ l" ' E ‘ zaxio‘ ' For Hie +emFer-eal steel? A1 = 20% S _ LGm _ (HM/cones) Ya - E ‘ '2‘! all)" To‘l‘ap area: A = A, + A: = {.75' int 5r. < 5.. < 5m 7714: 1.4.1ch s+eeflyiepals. Tempered glee? is, eyash'c. Forces P. = 154.6}. 70-00X50’103) = 50 ”’03 4%- P2 = -_....——__.E A25“ = L—————MO€)(O'753 0.0% :' 62. IL} VIC: IL L 1‘l 0.02‘1‘l38 i». ‘- 0. 0482K in. 34715595 6" = '13" '-"- Gr. 1' 50 X103 ref 3 62 = R = M = 82.29103 ’05; A1 0.75 - _ “2.1"? .___ 5 5. Uhpeew’mj - “1.75 69.08 3"(0 f r QBSI'a’Ua/g SIT-65365 we: : 6‘l _ 6" = Soaps—GiOSxIOS ..- - H.08x103 (is: T - H.08 kst‘ Suns = 6‘1- 6" =- 82.2m03— 6?.083403 = 13.73 >403 pa: '-= l8.78 kSt‘ 4‘ ...
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