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A frame is subjected to a load P as shown in the figure. The frame has a constant flexural rigidity EI. The effect of axial load is neglected. The deflection at point A due to the applied load P is

1. (A) P L³ / 3 EI
2. (B) 2 P L³ / 3 EI
3. (C) P L³ / EI
4. (D) 4 P L³ / 3 EI

Correct answer: (D) 4 P L³ / 3 EI

Solution

The correct option reflects the cumulative effect of the applied load on the frame's deflection, considering the geometry and boundary conditions of the frame, which results in a deflection that is four times the standard deflection for a simple beam under a point load.

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