Civil Engineering - Strength of Materials - Discussion

Discussion Forum : Strength of Materials - Section 5 (Q.No. 4)
4.
If the length of a cantilever carrying an isolated load at its free end is doubled, the deflection of the free end will increase by
8
1/8
1/3
2
3
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
15 comments Page 2 of 2.

Anni said:   9 years ago
@Shweta.

I think, your answer is wrong.

Shweta puri said:   9 years ago
Read the question carefully, they are not telling about length they said if the load at the free end is double it mean W = 2W. The deflection of the free end is WL^3/3EI when we put W = 2w it become1/2 which is not given in the answer but the right answer is 1/2.

Ashish Gusain said:   9 years ago
Option B is wrong.

Deflection = Wl.l.l/3EI,

Given that L = 2l,

Then deflection = W.2l.2l.2l/EI,

=> 8x W.l.l.l/3EI.

So option A is right.

SUBHRA NANDI said:   10 years ago
No answer is wrong its will be ANS-A (8).
(1)

Shraddha said:   10 years ago
Answer: 8 times.

Deflection at the free end due to point load = Wl*L*L/3EI.

Put 2L in place of L, it becomes 8 times.


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