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For a cantilever beam with a uniform distributed load, what is the formula for t

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Question: For a cantilever beam with a uniform distributed load, what is the formula for the maximum shear force at the fixed support?

Options:

  1. w * L
  2. 0
  3. w * L / 2
  4. w * L^2 / 2

Correct Answer: w * L

Solution: 

The maximum shear force (V) at the fixed support of a cantilever beam with a uniform distributed load (w) is V = w * L, where L is the length of the beam.

For a cantilever beam with a uniform distributed load, what is the formula for t

Practice Questions

Q1
For a cantilever beam with a uniform distributed load, what is the formula for the maximum shear force at the fixed support?
  1. w * L
  2. 0
  3. w * L / 2
  4. w * L^2 / 2

Questions & Step-by-Step Solutions

For a cantilever beam with a uniform distributed load, what is the formula for the maximum shear force at the fixed support?
  • Step 1: Understand what a cantilever beam is. It is a beam that is fixed at one end and free at the other end.
  • Step 2: Recognize that a uniform distributed load (w) means the load is spread evenly across the length of the beam.
  • Step 3: Identify the length of the beam, which we will call L.
  • Step 4: Know that the maximum shear force (V) occurs at the fixed support of the cantilever beam.
  • Step 5: Use the formula for maximum shear force at the fixed support, which is V = w * L.
  • Step 6: Substitute the values of w (the load per unit length) and L (the length of the beam) into the formula to find the maximum shear force.
  • Cantilever Beam – A beam fixed at one end and free at the other, subjected to loads.
  • Uniform Distributed Load – A load that is evenly distributed along the length of the beam.
  • Shear Force – The internal force that acts along the cross-section of a beam, causing it to shear.
  • Maximum Shear Force – The highest value of shear force experienced at a specific point, in this case, the fixed support.
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