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1207_Mechanics Homework Mechanics of Materials Solution

1207_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 10.12 A compression member of 20 in. eﬁ'eotiv: length consists of a solid l.0-in.- PROBLEM 1012 diameter aluminum rod. In order to reduce the weight of the member by 25%, the solid rod is replaced by a hollow rod of the cross section shown. Determine (a) the percent reduction in the critical load, (1)) the val! .e of the critical load for the hollow rod. Use E= 10.5 x 106 psi. SOLUTION sail-J AS: %Joz Hoffa-w : Alf = 'i 0': Sakai Wei 3 = \$30-0)" = 0.047087 In” Pu= ﬁzz-i5 ? W = lz_gs¢7xto‘!l;. narrow mi: L=£~QJ-J;‘)= ﬂat-(tr) , 0.2mm» (In) Per * iii—I“ = Maw =12.ose.»to’i6.=. iZO‘ikCPS P5 - Pu Resend — 12.036klo3 = 0.0525' =.- 6-2570 4 () E‘s [2.854 ”0-" ...
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