Question: A beam is constrained by two boundary conditions as shown in the figure below. The left hand side of the beam is attached to

A beam is constrained by two boundary conditions as shown in the

 

A beam is constrained by two boundary conditions as shown in the figure below. The left hand side of the beam is attached to a pin. This end is free to rotate but the vertical displacement is 0. The center of the right hand side is welded to a rigid thin rod and the thin rod is placed on a rigid cart that is free to move in the vertical direction. This end is therefore free to move in the vertical direction but not free to rotate. (a) Please find the exact solution of the vertical displacement. (10 pts) (b) Please use Rayleigh-Ritz to find the approximate vertical displacement. (10 pts) (c) Please use FEM to find the approximate vertical displacement. (10 pts) F=50N L=1m 0.25m 0.25m Rigid Thin Rod F=100N El=10000Nm

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