Question 5.12: Two and Three Force Members The 100-lb weight of the rectang...

Engineering Mechanics: Statics

Two and Three Force Members

The 100-lb weight of the rectangular plate in Fig. 5.40 acts at its midpoint. Determine the reactions exerted on the plate at B and C.

Strategy
The plate is subjected to its weight and the reactions exerted by the pin supports at B and C, so it is a three-force member. Furthermore, the bar AB is a two-force member, so we know that the line of action of the reaction it exerts on the plate at B is directed along the line between A and B. We can use this information to simplify the free-body diagram of the plate.

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