In a simply supported beam with a uniformly distributed load, what is the reacti

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Question: In a simply supported beam with a uniformly distributed load, what is the reaction at the supports?

Options:

Correct Answer: wL/2

Solution:

For a simply supported beam with a uniformly distributed load (w), the reaction at each support is wL/2.

In a simply supported beam with a uniformly distributed load, what is the reaction at the supports?

In a simply supported beam with a uniformly distributed load, what is the reaction at the supports?

Step 1: Understand that a simply supported beam has two supports, one at each end.
Step 2: Recognize that a uniformly distributed load (w) means the load is spread evenly across the length of the beam.
Step 3: Identify the total length of the beam as L.
Step 4: Calculate the total load on the beam by multiplying the load per unit length (w) by the length of the beam (L). This gives you the total load: Total Load = w * L.
Step 5: Since the beam is simply supported, the total load is shared equally between the two supports.
Step 6: Divide the total load by 2 to find the reaction at each support: Reaction at each support = (Total Load) / 2 = (w * L) / 2.
Step 7: Conclude that the reaction at each support is wL/2.

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