Mechanics of Materials, 10th Edition Solution Manual

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Solution11–1.The shaft is supported by a smooth thrust bearing atBanda journal bearing atC. Determine the resultant internalloadings acting on the cross section atE.AEDBC4 ft400 lb800 lb4 ft4 ft4 ftSolutionSupport Reactions:We will only need to computeCyby writing the momentequation of equilibrium aboutBwith reference to the free-body diagram of theentire shaft, Fig.a.a+ΣMB=0;Cy(8)+400(4)-800(12)=0Cy=1000 lbInternal Loadings:Using the result forCy,sectionDEof the shaft will be considered.Referring to the free-body diagram, Fig.b,S+ΣFx=0;NE=0Ans.+ cΣFy=0;VE+1000-800=0VE=-200 lbAns.a+ΣME=0; 1000(4)-800(8)-ME=0ME=-2400 lb#ft=-2.40 kip#ftAns.The negative signs indicates thatVEandMEact in the opposite sense to that shownon the free-body diagram.Ans:NE=0,VE=-200 lb,ME=-2.40 kip#ft

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