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

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

Options:

Correct Answer: WL/2

Solution:

For a simply supported beam with a point load W at the center, the maximum bending moment M is given by M = WL/4.

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

What is the maximum bending moment for a simply supported beam with a point load at its 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 directly at the center of the beam.
Step 3: Recognize that the maximum bending moment occurs at the center of the beam where the load is applied.
Step 4: 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 5: In this formula, 'W' is the point load and 'L' is the length of the beam.
Step 6: Calculate the maximum bending moment by plugging in the values of W and L into the formula.

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