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1125_Mechanics Homework Mechanics of Materials Solution

1125_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 9.115 For the beam and loading shown, determine (a) the slope at end A, (b) the PROBLEM 9'115 deﬂection at the midpoint of the beam. Use E = 200 GPa. wt, = 54 kNIm SOLUTION S‘jvn‘maiﬂ'c beam moi Laughing. Pk: Q3 1&ch Y‘Q'pEV‘Q-ﬂcﬂ +ar1qen‘i' 0:} C. 6‘: D Uni‘i'si Fore; (a. k") yang-its I‘m m. E ‘-= 200 KID“ 'Po. I «.- 9J2 x lo‘ Mu." .- ZUQ xlo" m" EI -- (zoowo‘Mzmx/o“): 42.4 “/o‘ Mm“ = 42 Hoe kid- “11 +TZF5=0 RHPQ-gwmma) e 0 RA : Cq-g kN 22.5 lav/m" For Ai-oC M= lax-ﬁlm" M C M _. (0190.4) _ 22.5) M)‘ if " HQQDO (GJZ—HRIHLTOO = 3.667%:0" - LZQZGMO' m Drau Elf Ji‘xﬁwmm L3 Paris. A. = J;(3.ceveuro")(2.m.- Hmongno“ A: .~ - g—(Luzcud’ )(m): —O.733\$6 do”: (a SIPOPQ (21+ A GA 1' 9C. "' c/A = O - (A| + A13 = - 4.1401510" + 0.7335963 T - 3.57 No" rad. -- Go) Deﬂeciim a'i C y; = - L“; = -i(‘4.‘40i5xlo'3)(l.6)-—(0_733§6xh55)(l.42)] = - 5.63 nod.“ = 54:3 mun" --n ...
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