Mechanical Engineering - Strength of Materials - Discussion
Discussion Forum : Strength of Materials - Section 1 (Q.No. 20)
20.
A thin cylindrical shell of diameter (d) and thickness (t) is subjected to an internal pressure (p). The ratio of longitudinal strain to volumetric strain is
Discussion:
20 comments Page 2 of 2.
Kiran said:
10 years ago
Longitudinal strain : Volumetric strain.
[(pd/4Et)(1-2v)] : [(pd/4Et)(5-4v)].
(1-2v) : (5-4v).
V[(1/v)-2] : v[(5/v)-4].
Where, (1/v) = m.
(m-2):(5m-4).
[(pd/4Et)(1-2v)] : [(pd/4Et)(5-4v)].
(1-2v) : (5-4v).
V[(1/v)-2] : v[(5/v)-4].
Where, (1/v) = m.
(m-2):(5m-4).
Siva katuri said:
10 years ago
Longitudinal strain : pr/[2tE (1-2/m)].
Volumetric strain : pr/[2tE (5-4/m)].
pr/[2tE (1-2/m)] : pr/[2tE (5-4/m)].
pr/pr : 2tE (1-2/m) / 2tE (5-4/m).
: 2tE[ (m-2) /m]/2tE[(5m-4)/m].
: [(m-2)/m]/[(5m-4)/m].
: (m-2)/(5m-4).
Volumetric strain : pr/[2tE (5-4/m)].
pr/[2tE (1-2/m)] : pr/[2tE (5-4/m)].
pr/pr : 2tE (1-2/m) / 2tE (5-4/m).
: 2tE[ (m-2) /m]/2tE[(5m-4)/m].
: [(m-2)/m]/[(5m-4)/m].
: (m-2)/(5m-4).
Sachin said:
1 decade ago
@Abhishek.
No answer is correct!
m is not Poisson's ratio. Its reciprocal is
m = (1/u).
Long strain = (PR/2tE)(1-2/m).
Vol strain = (PR/2tE)(5-4/m).
No answer is correct!
m is not Poisson's ratio. Its reciprocal is
m = (1/u).
Long strain = (PR/2tE)(1-2/m).
Vol strain = (PR/2tE)(5-4/m).
Abhishek said:
1 decade ago
All options are wrong.
Longitudinal strain = pr/2tE(1-2m).
Volumetric strain = pr/2tE(5-4m).
Longitudinal strain = pr/2tE(1-2m).
Volumetric strain = pr/2tE(5-4m).
Harish said:
1 decade ago
Prove that clearly?
Vikas said:
1 decade ago
Net longitudinal strain = pd/4tE(1-2/m).
Net volumetric strain = pdV/2tE(5/2-2/m).
Net volumetric strain = pdV/2tE(5/2-2/m).
Manoj prasad said:
1 decade ago
fl = Longitudinal stress.
fc = Volumetric stress.
Longitudinal strain = el = fl/E-(1/m)*((fc)/E).
Volumetric strain = ec = fc/E - (1/m)*((fl)/E).
Now,
Longitudinal strain/volumetric strain.
Solve it & you will get the answer as (D).
fc = Volumetric stress.
Longitudinal strain = el = fl/E-(1/m)*((fc)/E).
Volumetric strain = ec = fc/E - (1/m)*((fl)/E).
Now,
Longitudinal strain/volumetric strain.
Solve it & you will get the answer as (D).
Shubham81 said:
1 decade ago
How its?
Emlin said:
1 decade ago
1/m is poisson's ratio where m is a constant. Values ranging between 3 and 4.
Ash said:
1 decade ago
What is m?
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers