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 w is applied over the entire length L?

Options:

Correct Answer: w * L / 2

Solution:

The reaction at each support of a simply supported beam with a uniform load (w) applied over the entire length (L) is w * L / 2.

In a simply supported beam, what is the reaction at the supports if a uniform load w is applied over the entire length L?

In a simply supported beam, what is the reaction at the supports if a uniform load w is applied over the entire length L?

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 same weight is distributed evenly across the entire length (L) of the beam.
Step 3: Calculate the total load on the beam by multiplying the uniform load (w) by the length (L). This gives you the total load: Total Load = w * L.
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 by 2: Reaction at each support = Total Load / 2 = (w * L) / 2.
Step 6: Therefore, the reaction at each support is w * L / 2.

Simply Supported Beam – A beam that is supported at both ends and can freely rotate, allowing for vertical loads.
Uniform Load – A load that is evenly distributed across the length of the beam.
Support Reactions – The forces exerted by the supports to maintain equilibrium under applied loads.
Static Equilibrium – The condition where the sum of forces and moments acting on the beam is zero.