Civil Engineering - Strength of Materials - Discussion

Discussion Forum : Strength of Materials - Section 3 (Q.No. 22)
22.
An open-ended cylinder of radius r and thickness t is subjected to internal pressure p. The Young's modulus for the material is E and Poisson's ratio is μ. The longitudinal strain is
zero
none of these.
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
18 comments Page 1 of 2.

MJM Gcek said:   4 years ago
@Taral.

Let me tell you that strain=stress/E and the stress is actually Pd/4t and strain = pd/4tE.

But here as it is an open cylinder so the strain is considered 0.

Kalai said:   5 years ago
A is the correct answer.

Taral Bhaumik said:   6 years ago
Those who are saying pd/4tE, let me tell you that pd/4tE longitudinal stress and question asked to find strain. Strain and stress.

Strain= 0.
Stress=pd/4tE.
(1)

Taral Bhaumik said:   6 years ago
Those who are saying pd/4tE, let me tell you that pd/4tE longitudinal stress and question asked to find strain. Strain and stress.

Strain= 0.
Stress=pd/4tE.

Tejasva Mudgal said:   6 years ago
The Answer will be D

Direct longitudinal strain = 0

Poision effect due to lateral/hoop strain = Pd/(2t) * (poisson ratio /E) (compressive).

So, "None of these " will be the answer.

Debanjan Ghosh said:   7 years ago
Right @Akib,

It's open end cylinder so it's pressure is zero, because here no longitudinal stress & strain, so answer will be zero.

Bibhuprasad said:   7 years ago
The stress=PD/4t.

D=2r,strain=stress/E where E= young's modulus.
longitudinal strain=2Pr/4tE = Pr/2tE.
(1)

Azzu said:   7 years ago
The answer is correct because longitudinal stress developed only in the closed-ended cylinder.

In question, clearly mentioned that open-ended.

Ram Prasad Poudel said:   8 years ago
The answer given above is right i.e zero because it is the case of open-ended cylinder where no longitudinal stress is developed hence no longitudinal strain.

@Abhi.
This case is for a cylinder with closed ends.

Shashi Ranjan said:   8 years ago
C would be the correct answer.


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