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1020_Mechanics Homework Mechanics of Materials Solution

# 1020_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 9.10 9.9 and 9.1.0 For the boom a‘nd loading shown, (a) express the magnitude and location of the mammoth deﬂection In terms of we, L, E, and 1 . (b) Calculate the value of the maximum deﬂection, assuming that beam AB is a W18 X 50 rolled shape and that wo = 4.5 kipslﬁ, L = 13 ft, and E = 29 X 10" psi. SOLUTION 0W___ a! w Wo — E's-x3) 4 CV1. 4 CM ‘Lx:DDM=D-J O: O+O+O+CM “-0 [name] 0 = sac-when. c..= gm EI-‘L-LL = M: {2%sz ﬁnngm Eli'i’ YEWELL‘X‘HéanLa‘WW * C' Erj = %(#L‘x3-%:LXL*T§BX‘L +Cu><+Cz EX=OJJ=OI O=o—O+O+O+CL Cz‘o (“L-3W0] o- wf ﬁtsmﬁL5+1ﬁL5g+QL+o C.=-\$§Wol3 EIL‘ To 'Finei ﬁata‘l’ian o‘F VIM-hum AEkPeo‘h'oi/x 531' a -_- I? '" éL‘xﬁ—ngf+ ﬁXQ—QEL‘L -.- o Lei z = "2‘1 Wm - :‘th- ifwﬁf‘ .% gig-- 3zui-z +é-z3 By Nth/+0H- Raplnsm‘n me'Hwal Z = 2', -6138: 2 = M; 0,3365, 0.4807) 0.4807 x,a = 0.4.807 L 4 -_. W ILL-Lt? (0.14807)3u§;(o,4307)’+(0,294807N'5u ﬁts—(0.43073 "' woL" = _ 0 00552 tﬂf— 3,. = 0.00651 25:: J, 4 Dan: w.,= 4.5 kilos/H = 7599: 375 21,1.“ L: 1294: = me an. H (0.oossx)(37s)(zic.)" jh ' (29x10‘)(800) ...
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