For a simply supported beam with a length L and a point load P at the center, wh

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Question: For a simply supported beam with a length L and a point load P at the center, what is the reaction force at each support?

Options:

Correct Answer: P/2

Solution:

The reaction force at each support of a simply supported beam with a point load (P) at the center is P/2.

For a simply supported beam with a length L and a point load P at the center, what is the reaction force at each support?

For a simply supported beam with a length L and a point load P at the center, what is the reaction force at each support?

Step 1: Understand that a simply supported beam has two supports, one at each end.
Step 2: Recognize that a point load (P) is applied at the center of the beam.
Step 3: Know that the total load on the beam is equal to the point load P.
Step 4: Since the beam is symmetrical and the load is at the center, the load is evenly distributed between the two supports.
Step 5: Calculate the reaction force at each support by dividing the total load (P) by the number of supports (2).
Step 6: Therefore, the reaction force at each support is P/2.

Static Equilibrium – Understanding how forces and moments balance in a simply supported beam.
Load Distribution – Recognizing how a point load affects reaction forces at supports.
Beam Analysis – Applying principles of mechanics to determine support reactions.