Civil Engineering - Strength of Materials - Discussion
Discussion Forum : Strength of Materials - Section 3 (Q.No. 2)
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
zero
upward downwardnone of these.
Discussion:
10 comments Page 1 of 1.
ASHISH SHARMA said:
5 years ago
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.
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.
(2)
Sagar Rathor said:
7 years ago
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.
So we have to take WL^3/8EI in place of wL^4/8EI.
Muhammad Zeeshan Akram said:
7 years ago
UDL=1/8 & Concentrated Load=1/8.
Take difference of both because they are in opposite direction we will get the required Answer B.
Take difference of both because they are in opposite direction we will get the required Answer B.
Pratik said:
7 years ago
@Rishi.
W= w*l.
W= w*l.
Ankit said:
8 years ago
There is a reaction at the free end i.e. (3wl)/8 it causes upward deflection @Ram.
Ram vamne said:
8 years ago
Deflection always down word? How to upward?
Dhanu said:
8 years ago
Net deflection= WL^3/3EI - (wl)L^3/8EI.
5/24 WL^3/EI.
5/24 WL^3/EI.
(1)
SABIBUR RAHAMAN said:
8 years ago
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.
And cantilever beam UDL load come deflection wl^4/8EI or Points load come deflection wl^3/3EI.
RISHI said:
8 years ago
Deflection of Cantilever in UDL is wl^4/8EI. HOW COME WL^3/8EI?
Lee said:
9 years ago
Net deflection= WL^3/8EI - WL^3/3EI.
= 5WL^3/24EI.
= 5WL^3/24EI.
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