Civil Engineering - Strength of Materials - Discussion

Discussion Forum : Strength of Materials - Section 2 (Q.No. 12)
12.
A cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the width of the beam is doubled, the deflection of the free end will be changed in the ratio of
8
1/8
1/2
2
3
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
14 comments Page 2 of 2.

Paul said:   8 years ago
Pl3/3EI.
I = bd3/12 in 1st case ( d3 = cube of d).
I = 2bd3/12 in 2nd case,
The ratio will come as 2.
So, option D is correct.

Shubham verma said:   8 years ago
D diflection.

D1=PL^3/3EI
IF L=2L
THEN
D2=P(2L)^3/3EI
D2=8PL^3/3EI
D2=8D1
SO
D1/D2=1/8.

Dhanu said:   8 years ago
@Mounika Reddy.

Deflection is wl^3/3EI.
Not wl^2/2EI.

Mounika reddy said:   1 decade ago
y1 = MX^2/2EI For b.

I = bh^3/12 if b = 2b.

I = 2bh^3/12.

y2 = MX^2/4EI FOR 2b.

y2 = 1/2(y1).


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