Problem 3. The horizontal beam is rigid. All of the vertical deformable bars have length L, area A, and Young's modulus E. The load P is applied to the middle of the grey deformable bar. Determine (a) the internal force in each half of the gray bar, and (b) the forces in the black deformable bars. Hint: You will have to draw a separate free body diagram for the gray bar and determine the internal forces and deflections in each half. You are also allowed to use symmetry. You can also think about turning the entire problem on its side. a P 1/2 L/2 a

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