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 1 of 2.

Agha Bilal said:   9 months ago
The correct answer is option A i.e. 8 Times.

Dhru said:   5 years ago
Wl^3/3EI upon W(2l^3) /3EI.

Solve then the answer will be 1/8.
(1)

Jinish said:   6 years ago
Deflection 1= wl^3/ 3EI and,
If l = 2 then deflection 2 = 8wl^3/3 EI.
So deflection = deflection 1/ deflection 2 = 1/8.
Correction answer is 1/8.
Here, mentioned length is to doubled l = 2l.

Vishal Amit Patil said:   6 years ago
@All.

Here, it is mentioned to double the load not length.
(1)

SuSHiL THaKuR said:   7 years ago
Right @Aaqib.

But it is not ask about ratio they ask about how much increase in deflection.

So, x1/x2 =1/8,
i.e x2=8x1 (answer).
I hope you understand.

Aaqib said:   7 years ago
Wl^3÷3Ei÷w (2l) ^3÷3Ei,
=1/8 Answer.

I think option B, please correct me if I m wrong.

Minesh Rathore said:   8 years ago
I think the Answer should be A.

Don Dai said:   8 years ago
More W & L, more deflection.
More B & D, less Deflection.

That's why 8 times.
(2)

Surjya said:   8 years ago
It will be option A i.e. 8.

Baloch said:   9 years ago
It's not doubling the load, it's doubling the length.

L^3, 2L^3 = 8, And is C.


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