For a simply supported beam with a length L and a uniform load w, what is the re

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

Options:

Correct Answer: wL/2

Solution:

The reaction force at each support for a simply supported beam with a uniform load (w) is R = wL/2.

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

For a simply supported beam with a length L and a uniform load w, 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 uniform load (w) means the weight is evenly distributed along the length (L) of the beam.
Step 3: Calculate the total load on the beam by multiplying the uniform load (w) by the length (L): 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 force at each support, divide the total load by 2: Reaction Force (R) = Total Load / 2 = (w * L) / 2.
Step 6: Therefore, the reaction force at each support is R = wL/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.
Reaction Forces – The forces at the supports that counteract the applied loads on the beam.
Static Equilibrium – The condition where the sum of forces and moments acting on the beam is zero.