In a simply supported beam, what is the relationship between the maximum bending

Practice Questions

Q1
In a simply supported beam, what is the relationship between the maximum bending moment and the maximum shear force?
  1. M = V*L
  2. M = V/2
  3. M = V*L/2
  4. M = 0

Questions & Step-by-Step Solutions

In a simply supported beam, what is the relationship between the maximum bending moment and the maximum shear force?
  • Step 1: Understand what a simply supported beam is. It is a beam that is supported at both ends and can freely rotate.
  • Step 2: Identify the maximum shear force (V). This is the highest force acting vertically on the beam at any point.
  • Step 3: Identify the maximum bending moment (M). This is the highest moment that causes the beam to bend at any point.
  • Step 4: Recognize the relationship between maximum bending moment and maximum shear force. The formula is M = V * L.
  • Step 5: Understand what L represents. L is the length of the beam between the supports.
  • Step 6: Conclude that the maximum bending moment is directly related to the maximum shear force multiplied by the length of the beam.
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