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 the center?
  1. WL/4
  2. WL/2
  3. WL
  4. WL^2/8

Questions & Step-by-Step Solutions

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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