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What is the formula for calculating the shear force in a beam at a distance 'x'

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Question: What is the formula for calculating the shear force in a beam at a distance \'x\' from the left support?

Options:

  1. V = R - wx
  2. V = wx
  3. V = R + wx
  4. V = R - wx^2

Correct Answer: V = R - wx

Solution: 

The shear force (V) at a distance \'x\' from the left support is given by V = R - wx, where R is the reaction at the support and w is the uniform load.

What is the formula for calculating the shear force in a beam at a distance 'x'

Practice Questions

Q1
What is the formula for calculating the shear force in a beam at a distance 'x' from the left support?
  1. V = R - wx
  2. V = wx
  3. V = R + wx
  4. V = R - wx^2

Questions & Step-by-Step Solutions

What is the formula for calculating the shear force in a beam at a distance 'x' from the left support?
  • Step 1: Identify the left support of the beam and label it as point A.
  • Step 2: Determine the reaction force at the left support (R). This is the force that supports the beam at point A.
  • Step 3: Identify the uniform load (w) acting on the beam. This is the weight distributed evenly along the length of the beam.
  • Step 4: Measure the distance (x) from the left support (point A) to the point where you want to calculate the shear force.
  • Step 5: Calculate the total load acting on the beam up to the distance x. This is done by multiplying the uniform load (w) by the distance (x): wx.
  • Step 6: Use the formula for shear force: V = R - wx. Here, V is the shear force at distance x, R is the reaction force at the left support, and wx is the total load up to distance x.
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