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What is the formula for the shear force at a section of a simply supported beam

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Question: What is the formula for the shear force at a section of a simply supported beam with a point load at one end?

Options:

  1. W
  2. W/2
  3. 0
  4. W - wx

Correct Answer: W - wx

Solution: 

The shear force (V) at a section x from the left end of a simply supported beam with a point load (W) at one end is given by V = W - wx, where w is the distributed load per unit length.

What is the formula for the shear force at a section of a simply supported beam

Practice Questions

Q1
What is the formula for the shear force at a section of a simply supported beam with a point load at one end?
  1. W
  2. W/2
  3. 0
  4. W - wx

Questions & Step-by-Step Solutions

What is the formula for the shear force at a section of a simply supported beam with a point load at one end?
  • Step 1: Identify the beam type. We have a simply supported beam.
  • Step 2: Recognize the point load (W) applied at one end of the beam.
  • Step 3: Define the distance (x) from the left end of the beam to the section where we want to find the shear force.
  • Step 4: Understand that the shear force (V) at that section is affected by the point load and any distributed load (w) along the beam.
  • Step 5: Write the formula for shear force: V = W - wx.
  • Step 6: In this formula, W is the total point load, w is the distributed load per unit length, and x is the distance from the left end.
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