What is the maximum bending moment in a simply supported beam with a point load

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Question: What is the maximum bending moment in a simply supported beam with a point load at the center?

Options:

Correct Answer: WL/2

Solution:

The maximum bending moment (M) for a simply supported beam with a point load (W) at the center and length (L) is given by M = WL/4.

What is the maximum bending moment in a simply supported beam with a point load at the center?

What is the maximum bending moment in a simply supported beam with a point load at the center?

Step 1: Understand the setup. You have a simply supported beam, which means it is supported at both ends and can bend in the middle.
Step 2: Identify the point load. This is a force (W) applied at the center of the beam.
Step 3: Know the length of the beam. Let's call the total length of the beam L.
Step 4: Recognize that the maximum bending moment occurs at the center of the beam where the load is applied.
Step 5: Use the formula for maximum bending moment. For a simply supported beam with a point load at the center, the formula is M = WL/4.
Step 6: Plug in your values for W (the load) and L (the length) into the formula to find the maximum bending moment.

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