For a simply supported beam of span L subjected to a central point load P, the shear
force just to the left of the load is ______
Correct Answer:
A. P/2
Explanation:
For a simply supported beam of length L with a central point load P, the vertical reaction forces at each support are equal to P/2 due to symmetry. To find the shear force just to the left of the load, consider a section in the left half of the beam. The only vertical force acting to the left of this section is the upward reaction at the left support, which is P/2. According to standard sign conventions, an upward force to the left of a section results in a positive shear force. Therefore, the shear force remains constant at P/2 from the left support up to the point where the load is applied.
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