# 25kips 3kips /F FEXED HINGE Roller G

Question

Structural Engineering: Method of Virtual Work for beams:

The beam shown has a fixed connection at A. It has a hinge located at point B, 16 feet to the right of point A, there is a roller support at point C, 22 feet to the right of point A, and there is a point load applied at point D, 30 feet to the right of point A, finally, there is a distributed load of 3kips/ft applied over the 16-foot length from point A to point B. The moment of inertia, I, for section AB is 4500in4 and the moment of inertia for section BD is 3000in4. The modulus of elasticity, E for the entire beam is 30,000ksi.

Given the above information and the attached image, using the Method of Virtual Work for beams, find the slope and deflection at point D.

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