Civil Engineering - GATE Exam Questions - Discussion

Discussion Forum : GATE Exam Questions - Section 3 (Q.No. 13)
13.
A cantilever beam is shown in the below figure. The moment to be applied at free end for zero vertical deflection at that point is
9 kN.m clock wise
9 kN.m anti-clockwise
12 kN.m clockwise
12 kN.m anti-clockwise
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
15 comments Page 1 of 2.

Ashish Verma said:   4 years ago
Compare deflection due to point load and deflection due to moment which is used for zero vertical deflection.
Yp=Ym.
WL^3/3EI =ML^2/2EI we get M=12KN-m.

And due to point load at the free end anti-clockwise rotation occurred in the beam so to balance that we use clockwise moment.

So, the answer is 12kN-m clockwise.

Mayuri said:   5 years ago
Given 12knm anti-clockwise is the correct answer as per sign convention.

Naman said:   5 years ago
Answer is 12knm clockwise because due to 9kn force the moment will be anticlockwise so to resist that moment we have to apply the moment in the anticlockwise direction.

Shail said:   6 years ago
12 KNm. Clockwise is the answer.

Ban said:   6 years ago
I didn't get it. Please anyone explain.

Keshav Kaushik said:   7 years ago
WL^3/3EI - ML^2/2EI = 0.

For the above stated condition;

M comes out to be 12knm.

And it must be applied anti-clockwise as per sign convention.

Anand Mishra said:   7 years ago
Thanks for the explanation @xmgo.

TKd said:   8 years ago
Yes, the direction will be clockwise 12C.

Vinay singh said:   8 years ago
ML2/2EI=PL3/3EI.
Answer is 12.

Chhaya said:   8 years ago
Thanks @Xmgo.


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