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UPSC Civil Service Exam Questions - Engineering

Q1:

A fixed beam of unifrom section is carrying a point load at its mid-span. If the moment of inertia of the middle half length is now reduced to half its previous value, then the fixed end moments will

A Increase

B decrease

C remain constant

D change their directions

ANS:A - Increase

Dear friends.

I have calculated the bending moment for the beam before the changes and after the changes by the column analogy method and in this method, I have found that in the first case when there is no change in the beam the moment will be PL/8 and in the second case when there is a change in the geometry of beam then its value will be PL/12 so I think option b should be the correct answer. Am I right? Please explain me.