Question:

A fixed beam of uniform cross-section carries a point load \( P \) at the mid-span. If the moment of inertia of the middle half portion is reduced to half its previous value, then the fixed end moments will

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- The fixed end moment is directly proportional to the stiffness of the beam.
Updated On: Feb 4, 2025
  • Increase
  • Decrease
  • Remain constant
  • Change direction
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The Correct Option is B

Solution and Explanation

Step 1: Understanding fixed end moment changes. - The fixed end moments (\( FEM \)) depend on stiffness, which is proportional to moment of inertia (\( I \)). 
Step 2: Effect of reducing \( I \). - Since \( FEM = \frac{P L}{8} \cdot \frac{I}{L} \), reducing \( I \) to half means the FEM will decrease. Thus, the correct answer is (B) Decrease.

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