752_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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746CHAPTER 9Deflections of BeamsProblem 9.6-2The load on a cantilever beam ABhas a triangular distribution with maximum intensity q0(see figure).Determine the angle of rotation uBand the deflection dBat the free end.LBq0ASolution 9.6-2Cantilever beam (triangular load)DIAGRAMMEIDEFLECTION(These results agree with Case 8, Table G-1.)dBQ1q0L430EI(Downward);Q1A1xaq0L324EIb a4L5bq0L430EIQ1First moment of area A1 with respect to uA0uBq0L324EI(clockwise);uB/AuBuAA1q0L324EIxb(n+1)n+24L5Problem 9.6-3A cantilever beam ABis subjected to a concentrated load Pand a couple M0acting at the free end (see figure).Obtain formulas for the angle of rotation B

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