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Mechanical Engineering - Strength of Materials - Discussion

Discussion Forum : Strength of Materials - Section 1 (Q.No. 27)
Strength of Materials
27.
The simply supported beam 'A' of length l carries a central point load W. Another beam 'B' is loaded with a uniformly distributed load such that the total load on the beam is W. The ratio of maximum deflections between beams A and B is
5/8
8/5
5/4
4/5
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
13 comments Page 1 of 2.
MOHD SABIR HUSSAIN said:   8 years ago
As we know that,

For point load, deflection = wl^3/48EI and for UDL deflection = 5wl^3/384EI.
So, the ratio is 1.6 i.e 8/5.
(1)
Chandra prakash said:   8 years ago
We knw that,
Deflection in sim.

Supp. Beam is = WL3/48 EI,
For UDL 5WL3/ 384 EI
So, right answer is 1.6 or 8 /5.
D g maru said:   9 years ago
Deflection for center load = WL^3/48EI.

Deflection for udl load = 5WL^3/384EI.

Ratio of both load = 8/5.
ABHISHEK SINHA said:   1 decade ago
Deflection for center load = WL^3/48EI.
Deflection for udl load = 5WL^3/384EI.

Ratio of both load = 8/5.
Naveen said:   9 years ago
Yes, but according to the question, W = wl which means total load.

Now, W becomes 5wl^3/384EI.
Naresh Goggela said:   1 decade ago
At point load = WL^3/48EI.

At uniformly distributed = 5WL^3/384EI, So.
Ratio is= 8/5.
Taolin said:   10 years ago
Maximum deflection of a uniform loaded simple beam is (5FL^4)/384EI not (5FL^3)/384EI.
(1)
Maunankbhavsar said:   1 decade ago
((wl^3)/(48EI))/((5wl^3)/(384EI)) = 384/(5*48) = 8/5.
LAVANYA said:   1 decade ago
Point load WL^3/3EI.

UDL 5WL^3/384EI.

RATIO IS 8/5.
J B CHAUHAN said:   1 decade ago
POINT LOAD = WL^3/48EI.

UDL = 5WL^3/384EI.
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