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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 its center?

Options:

  1. WL/4
  2. WL/2
  3. WL
  4. 0

Correct Answer: WL/2

Solution: 

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

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

Practice Questions

Q1
What is the maximum bending moment in a simply supported beam with a point load at its center?
  1. WL/4
  2. WL/2
  3. WL
  4. 0

Questions & Step-by-Step Solutions

What is the maximum bending moment in a simply supported beam with a point load at its center?
  • Step 1: Understand the setup. You have a beam that is supported at both ends (this is called a simply supported beam).
  • 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 this length L.
  • Step 4: Recall 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: Plug in the values. If you know the load (W) and the length (L) of the beam, you can calculate the maximum bending moment by multiplying W by L and then dividing by 4.
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