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
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.
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.
Xmgo said:
8 years ago
Deflection due to clockwise moment M,D1=ML^2/2EI=M*2^2/2EI.
Deflection due to point load 9kN,D2=PL^3/3EI = 9*2^3/3EI.
Since deflection has to be 0 hence D1-D2=0, M will come 12kNm clockwise.
Deflection due to point load 9kN,D2=PL^3/3EI = 9*2^3/3EI.
Since deflection has to be 0 hence D1-D2=0, M will come 12kNm clockwise.
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.
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.
For the above stated condition;
M comes out to be 12knm.
And it must be applied anti-clockwise as per sign convention.
Arjun said:
1 decade ago
I think it is 9KN*2M = 18 KN-M, as moment is defined as force X displacement.
Mayuri said:
5 years ago
Given 12knm anti-clockwise is the correct answer as per sign convention.
Rajat said:
9 years ago
12 is correct but the direction is clockwise.
TKd said:
8 years ago
Yes, the direction will be clockwise 12C.
Ban said:
6 years ago
I didn't get it. Please anyone explain.
Anand Mishra said:
7 years ago
Thanks for the explanation @xmgo.
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