Civil Engineering - Strength of Materials - Discussion

2. 

A cantilever carries is uniformly distributed load W over its whole length and a force W acts at its free end upward. The net deflection of the free end will be

[A]. zero
[B]. upward
[C]. downward
[D]. none of these.

Answer: Option B

Explanation:

No answer description available for this question.

Lee said: (Jun 4, 2016)  
Net deflection= WL^3/8EI - WL^3/3EI.

= 5WL^3/24EI.

Rishi said: (Jul 13, 2017)  
Deflection of Cantilever in UDL is wl^4/8EI. HOW COME WL^3/8EI?

Sabibur Rahaman said: (Jul 21, 2017)  
Support always deflection zero. This type of beam propped cantilever.

And cantilever beam UDL load come deflection wl^4/8EI or Points load come deflection wl^3/3EI.

Dhanu said: (Sep 13, 2017)  
Net deflection= WL^3/3EI - (wl)L^3/8EI.

5/24 WL^3/EI.

Ram Vamne said: (Sep 18, 2017)  
Deflection always down word? How to upward?

Ankit said: (Dec 22, 2017)  
There is a reaction at the free end i.e. (3wl)/8 it causes upward deflection @Ram.

Pratik said: (Aug 29, 2018)  
@Rishi.

W= w*l.

Muhammad Zeeshan Akram said: (Dec 11, 2018)  
UDL=1/8 & Concentrated Load=1/8.

Take difference of both because they are in opposite direction we will get the required Answer B.

Sagar Rathor said: (Jan 8, 2019)  
In this Question, given UDL is already converted in point load W.

So we have to take WL^3/8EI in place of wL^4/8EI.

Ashish Sharma said: (Sep 19, 2020)  
Where CONSIDER.

wl^4/8EI = + (because downward).
wl^3/3EI= - (BECAUSE UPWARD).

Then;
WL^4/8EI -WL^3/3EI.
WHERE CONSIDER.
W=L=1 ,, EI =IS CONSTANT FOR BOTH.
Put the value.
ANSWER IS NEGATIVE (-5/24).

I consider minus sign is upward direction.
SO ANSWER IS UPWARD.

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