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The curved beam AB, shown in the figure, is held by a fixed support or frictionless bolt at A and a rocker arm at B. Based on this information, perform the following tasks:

a) Draw the free-body diagram (FBD) of the curved beam AB. (Value: 3%)

b) Determine the reactions at the fixed support at A. (Value: 10%)

Answer :

Final answer:

To draw the free-body diagram of the curved beam AB, isolate the beam and consider all forces including its weight, the reaction at the fixed support, and the reaction at the rocker arm. Determine the reactions at A by applying conditions for equilibrium of rigid body to the free-body diagram.

Explanation:

To address your question, firstly, to draw the free-body diagram (FBD) of the curved beam AB, you should isolate the curved beam AB in consideration and depict all the forces acting on it.

The curved beam is acted upon by its own weight (a vertical force downwards), the reaction at the fixed support (A), and the reaction at the rocker arm (B). Understand that the weight will act at the center of mass of the curved beam.

Secondly, to determine the reactions at the fixed support A, you need to apply the conditions of equilibrium to the free-body diagram of AB.

The two conditions for equilibrium are that the sum of the forces and the sum of moments about any point must each equal zero. Since the system is in equilibrium, the vertical force at A and B should balance the weight of the beam. Also, the moment at A should sum to zero.

Learn more about Equilibrium of Rigid Body here:

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