In a simply supported beam, what is the reaction at the supports if a uniform lo

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Question: In a simply supported beam, what is the reaction at the supports if a uniform load is applied?

Options:

Correct Answer: WL/2 at each support

Solution:

For a simply supported beam with a uniform load (w), the reactions at each support are WL/2.

In a simply supported beam, what is the reaction at the supports if a uniform load is applied?

In a simply supported beam, what is the reaction at the supports if a uniform load is applied?

Step 1: Understand that a simply supported beam has two supports, one at each end.
Step 2: Recognize that a uniform load (w) means the load is evenly distributed across the entire length of the beam.
Step 3: Identify the total load on the beam by multiplying the uniform load (w) by the length of the beam (L). This gives you the total load (WL).
Step 4: Since the beam is simply supported, the total load is shared equally between the two supports.
Step 5: To find the reaction at each support, divide the total load (WL) by 2. This gives you the reaction at each support as WL/2.

Simply Supported Beam – A beam that is supported at both ends and can freely rotate, allowing for vertical loads to be applied.
Uniform Load – A load that is evenly distributed across the length of the beam, resulting in consistent pressure on the supports.
Support Reactions – The forces exerted by the supports to maintain equilibrium in the beam under applied loads.
Static Equilibrium – The condition where the sum of forces and moments acting on the beam is zero, ensuring it does not move.