Question

Problem 3 (30 points). The beam shown below has an internal hinge at point C: (a) [10 points] Draw the influence line for the reaction at B, RB. (b) [10 points] Draw the influence line for the moment at E, Mg. (C) [10 points] Determine the maximum bending moment generated by the moving truck load shown below. 20 k 20 k 5k B A с D 5 ft 5 ft E 5 ft 5 ft 10 ft 10 ft

Answer 1

fromm "muller breslau" principle from Ge Getting ILD for a reaction at Support <i> Remove reaction at Support and (is introduce a. vertical displacement of beam. ques Ļ oft É sft a ARO luft coft २०१६- (ii) The resulting RT ILD For Ro Toft ILD for Reaction at diagram is B. The ordinate will be wnity" (b) 120 for moment ate at a introduce a moment hinge which <i> According muller boeslaw principle for getting point releases moment at the point (in their intso duce a defesnation at that point resultant Shape the beans is known at that point ordinates accordingly by geometry of kiliy The ag ILD for Kiv> measure moment a

Follow previous steps म $ a=0 a5 bio bis Edeformed -2.5 beam 12D luft G =) ordinate at E= 5x5 10 => ordinate at e= TOYO کد for max Bending moment place the load Exactly at "s" (middle bood at cu) 20 к 20K 4754HS 3-5 1950 10-5 5-> S =) BM at E={(120 ordinate) x point Load ={20x2.5) +20x5) + C5x2.5) = Max BM = 162.5) bogging (negative) La Ans

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