Discussion :: Strength of Materials - Section 5 (Q.No.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
Answer: Option A
No answer description available for this question.
|Shraddha said: (Sep 22, 2015)|
|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.
|Subhra Nandi said: (Sep 24, 2015)|
|No answer is wrong its will be ANS-A (8).|
|Ashish Gusain said: (Jul 9, 2016)|
|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.
|Shweta Puri said: (Aug 28, 2016)|
|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.|
|Anni said: (Sep 23, 2016)|
I think, your answer is wrong.
|Baloch said: (Nov 6, 2016)|
|It's not doubling the load, it's doubling the length.
L^3, 2L^3 = 8, And is C.
|Surjya said: (Jan 15, 2017)|
|It will be option A i.e. 8.|
|Don Dai said: (Feb 9, 2017)|
|More W & L, more deflection.
More B & D, less Deflection.
That's why 8 times.
|Minesh Rathore said: (Jun 6, 2017)|
|I think the Answer should be A.|
|Aaqib said: (Apr 20, 2018)|
|Wl^3÷3Ei÷w (2l) ^3÷3Ei,
I think option B, please correct me if I m wrong.
|Sushil Thakur said: (Sep 30, 2018)|
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.
|Vishal Amit Patil said: (Jul 1, 2019)|
Here, it is mentioned to double the load not length.
|Jinish said: (Aug 14, 2019)|
|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.
|Dhru said: (Apr 21, 2020)|
|Wl^3/3EI upon W(2l^3) /3EI.
Solve then the answer will be 1/8.
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