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352_Mechanics Homework Mechanics of Materials Solution

352_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 4.77 4-.7‘7 The prismatic bar shown, made of a steel assumed to be elastoplastic with a, '—= 42 ksi, is subjected to a couple M parallel to the x axis. Determine the moment M of the couple for which (a) yield first occurs, (b) the elastic core of the bar is 0.1 in. thick. SOLUTION (an I = ii" “‘3 «.- i'lc'z‘(°-"5){0-?>)s " Lamina" h." C.= éh = 0.15% “v M _ £1” (1+2)(I.o:25v!0'3) _ J - _ ————--— _ c; o. ’5 O. 2836' kip-in _- 223.5 Jib-iv. .- 477 The prismatic bar shown, made of a steel assumed to be elastoplastic with op = 42 ksi, is subjected to a couple M parallel to the x axis. Determine the moment M of the couple for which (a) yield first occurs, (1:) the elastic core of the bar is 0.1 in. thick. 4. 78 Solve Prob. 4.77, assuming that the couple M is parallel to the z axis. SOLUTION (a) I = 1’; bins: f;(o.3)(o.‘i5)3 = 2.27slxio'3 in” 0. 225 in h -.- G‘ I (423(22781XI0") . ._ .__,_..-..——..____.__.—-: ' 4—- - 0.22 0.425 up... c=J§ My 425' flo- in "‘ Q 1:]: l_'_J Wag - an n ...
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