Problem

A person uses a wrench to apply a force FA and a moment MA to the end of a cantilever beam...

A person uses a wrench to apply a force FA and a moment MA to the end of a cantilever beam. The weight of the beam is represented by the uniform distributed load ω0.

(a) For FA ≠ 0, M A = 0, and ω0 = 0. determine the shear and moment as functions of position. Express your answers in terms of FA.


(b) For FA=0, MA ≠ 0 and ω0=0. determine the shear and moment as functions of position. Express your answers in terms of MA.


(c) For FA= 0, MA = 0, and 0, determine the shear and moment as functions of position. Express your answers in terms of ω0.


(d) If FA = 20lb. MA = 200in.-lb. ω0 = 0.5 lb/in., and L = 30 in., use superpo­sition of the results of Parts (a) through (c) to determine the shear and moment as functions of position, and draw the shear and moment diagrams.

Figure P8.53

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