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593_Mechanics Homework Mechanics of Materials Solution

# 593_Mechanics Homework Mechanics of Materials Solution - L...

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Unformatted text preview: L; E L_IA_] L_,1AA”2'- - A 1_.__.i L 3;] {4A A L_._A} LAAA AA E LA AA A J LAAAAA: Luna] L __A.A.] 5.109 through 5.111 (a) Using singularity ﬁmctions, write the equations deﬁning the shear and bending moment for she beam and loading shown. (5) Use the equation obtained for M to determine the bending moment at point E and check your answer by drawing the free-body diagram ofthe portion ofbeam to the right ofE. PROBLEM 5.111 2 =-.,w.o ”' +DZM -o 2 5“ - - i5 .- ac4t—2-J(3aw.\-o C- 4w.a. "- CE 6 w= Might-wt)“ = —i—‘: V; V = - (AX-0L). '- 1%“),0. + gwoa<x—h>.:£ M r "352% (x—a)‘ - \$1096} 4 if W.,an.<x-2au.?i + o A‘} Pains" E x230 Ms ' drug (zaY— éwodh“ i—fwm (a) : -&WOQ‘ PROBLEM 5.112 w.) W‘ W.- W.<x-¢1>° =- V: ‘pr + WQ<X'Q>. 2 ﬂ M = -%W.x‘ + woo-49 A} P0341 C X = 24 Mr. = - &W..(2a\‘ + two? Check: 3§M¢= o .(%Q)(w.a3 + M; = o c A an A. .ﬁ.‘ ...
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