A cantilever beam with a span length of L m carries a uniform moment of intensity ‘M’ Nm/m. Which of the following statements is correct? 

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  1. Shear force throughout the length will be zero.
  2. Shear force throughout the length will be ML/2. 
  3. Shear force throughout the length will be ML. 
  4. Shear force throughout the length will be M/L.

Answer (Detailed Solution Below)

Option 1 : Shear force throughout the length will be zero.
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Detailed Solution

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Concept:

When a moment is applied at free end of a cantilever it will be transferred by constant magnitude to the fixed end. So, bending moment at any point will be equal to externally applied moment.

F2 N.M Madhu 12.03.20 D 4

∴ Bending Moment at support (Ms) = M

Take moment about fixed end and equate it to zero.

As there is no force, Fixed end moment = Applied moment.

Important Points

In this case bending moment is constant throughout the beam and shear force is zero throughout the beam. It is an example of pure bending.

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