Solution: In 1-5, solve equation (4) subject to the appropriate boundary conditions. The

Chapter 3, Problem 4

(choose chapter or problem)

In Problems 1-5, solve equation (4) subject to the appropriate boundary conditions. The beam is of length L, and \(w_{0}\) is a constant.

(a) The beam is embedded at its left end and simply supported at its right end, and \(w(x)=w_{0} \sin (\pi x / L)\), 0<x<L.

(b) Use a graphing utility to graph the deflection curve when \(w_{0}=2 \pi^{3} E I\) and L=1.

(c) Use a root-finding application of a CAS (or a graphic calculator) to approximate the point in the graph in part (b) at which the maximum deflection occurs. What is the maximum deflection?

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