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357_Mechanics Homework Mechanics of Materials Solution

# 357_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 4.85 and 4.86 A bar of the cross section shown is made of a steel that is assumed to be elastoplastic with E = 29 x 10‘ psi and oy= 42 ksi. For bending about the: axis, determine the bending moment at which (a) yield ﬁrst occurs, (b) the plastic zones (at thetop andbottom ofthebarareii in. thick. SOLUTION (a) I. = awn AA} = 95mm exam)" .— 37.75 on It: \$192k: = ﬁCcUCS)’ = 13.5 w I“ I, = 32?: w I = I.+ I,_+_T, = I88.51‘n" C = 4.5. in. h Gr]: _ 021033.5L .‘ . . "'3' T‘ 4.5 - 1.754. kip-I14 R. = 61A; (L41X33C3)= 373 k:P j, '= l.5+ |.5' = 3.0 in Pa = 4:qu = magma '17 18‘! mp 32 =- @053 = LO .‘n. up) M = Zia]: + 132) ': 2[(378)(3.o)+0'8?\(1.0\] = 2696 kip-In - ...
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