For a simply supported beam with a uniform load, what is the formula for the max

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Question: For a simply supported beam with a uniform load, what is the formula for the maximum shear force?

Options:

Correct Answer: wL/2

Solution:

The maximum shear force (V) for a simply supported beam with a uniform load (w) is V = wL/2 at the supports.

For a simply supported beam with a uniform load, what is the formula for the maximum shear force?

For a simply supported beam with a uniform load, what is the formula for the maximum shear force?

Step 1: Understand that a simply supported beam is supported at both ends and can freely rotate.
Step 2: Recognize that a uniform load (w) means the load is evenly distributed along the length of the beam.
Step 3: Identify that the length of the beam is represented by L.
Step 4: Know that the maximum shear force occurs at the supports of the beam.
Step 5: Use the formula for maximum shear force, which is V = wL/2, where V is the maximum shear force, w is the uniform load per unit length, and L is the length of the beam.
Step 6: Conclude that at each support, the maximum shear force is equal to wL/2.

Shear Force in Beams – Understanding how shear force is distributed in a simply supported beam under uniform loading.
Simply Supported Beam – Knowledge of the characteristics and behavior of simply supported beams under various loads.
Uniform Load – Recognizing the implications of a uniform load on the shear force and bending moment in beams.