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A simple supported beam of uniform crosssection has span L and is loaded by a point loadP at its mid-span. The length of elastoplastic zone of the plastic hinge will be
  • a)
    L/3
  • b)
    2L/5
  • c)
    L/2
  • d)
    3/L4
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A simple supported beam of uniform crosssection has span L and is load...
Explanation:

Given, a simple supported beam of uniform cross-section has span L and is loaded by a point load P at its mid-span.

The plastic hinge will be formed at the mid-span since the point load P is applied at mid-span.

The length of the elastoplastic zone of the plastic hinge can be obtained by using the following formula:

Length of elastoplastic zone = (2/3) x L/2 = L/3

Where,

2/3 is the ratio of the length of the elastoplastic zone to the length of the plastic hinge

L/2 is the length of the plastic hinge

Therefore, the correct option is (a) L/3.
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