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139_Mechanics Homework Mechanics of Materials Solution

# 139_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 2.105 2.105 Rods AB and BC are made of a mild steel that is assumed to be elastoplastic with E = 200 GPa and ac = 345 MPa. The rods are stretched until end has moved down 9 mm. Neglecting stress concentrations, determine (a) the maximum value of the force P, (b) the permanent set measured at points A and B after the force has been removed. SOLUTION A” =' Waves)“: smurfs: 'A...= 30.09533 Irfto‘tvlodm 45-mm diameter (rm PM = A...-..6} ~= <¢cz.tv:o")(39:wlo‘l = \$51.93 “out = 332 w I“ on slaw s'= sees-me» (.2 \$1 __ 33:.qsxto3 0.3 . + )_ 7.00 no“ 9a.! “0-; LSﬁMXIO‘“ = Lama's». = 2.c3 m, A+ Poin‘l' A \$9: sh-S‘ = cam-2.63m = 6.37 mm Ai’ Pan} 35 No yielding in BC; 11M“ Sp 1‘ O i 2.105 Rods AB and BC are made of a mild steel that is assumed to be elastoplastic PROBLEM 2'10“ with E = 200 GPa and at, = 345 MPa. The rods are stretched until end has moved down 9 mm. Neglecting stress concentrations, determine (a) the maximum value of the force P, (b) the permanent set measured at points A and B after the force has been removed. 2.106 Solve Prob. 2.105, assuming that the yield point of the mild steel used is 250 MPa. SOLUTION - =- —3 Ass 3 EC0.035)1'= 962.1 ”06ml; Ara: ﬂow“) "' L5‘7w’d0 '“1 (an PM = A...-.. 6; = (6162.: no")(2sono‘) ”mam” = 29059610 = :qu lad «n \ . '= PLAB PLBC u: .3 LA 1:33 (b Spnnabae‘: S E at: + EA“. E( n+Aar. 5. _ m __Q-£.__ +_I-2~__.__ " 200x109 “taming" {-5700 ”0%) = t.‘t03 xlo'sm g t.?08 Mm. A‘i’ Poinl' A 5?: Suﬁ-S. '-'- qvmn- L903 Mn“ “1.09m" ‘ M Pot-d- 1?», ‘no yiguina in QC; hence ...
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