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' kipin _ 223.5 Jibiv. . 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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