What is the shear force at the supports of a simply supported beam with a unifor

Practice Questions

Q1
What is the shear force at the supports of a simply supported beam with a uniform load?
  1. wL/2
  2. wL
  3. 0
  4. wL/4

Questions & Step-by-Step Solutions

What is the shear force at the supports of a simply supported beam with a uniform load?
  • 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 (L) of the beam.
  • Step 3: Know that the total load on the beam is the uniform load (w) multiplied by the length of the beam (L), which gives you the total load = w * L.
  • Step 4: Realize that this total load is shared equally between the two supports since the beam is simply supported.
  • Step 5: Calculate the shear force at each support by dividing the total load by 2, which gives you V = (w * L) / 2.
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