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Forum index » Science and Technology » Engineering » Mechanics
circumferential strain
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mailaref80@gmail.com
science forum beginner


Joined: 09 Jul 2006
Posts: 2

PostPosted: Sun Jul 09, 2006 10:31 am    Post subject: circumferential strain Reply with quote

Dear All,

I require to calculate the circumferential strain of cylinder.
consider a hollow cylinder as active element.
a1 = inner radii
b1 = outer radii
E = Young's modulus
v = Poisson ratio
ec = circumferential strain

I require to obtain the circumferential strain in two different
condition:
1. the inner pressure of cylinder is P and the outer pressure is 0

2. the inner pressure is 0 and the outer pressure is P

I can calculate stress components of cilynder such as radial and
tangential and longitudinal stress in two above condition. what
relation are there between thess stresses and circumferential strain.

Best,
Aref.
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Juan Vazquez
science forum beginner


Joined: 18 Apr 2005
Posts: 12

PostPosted: Sun Jul 09, 2006 12:17 pm    Post subject: Re: circumferential strain Reply with quote

<mailaref80@gmail.com> escribiˇ en el mensaje
news:1152441095.949504.45500@m73g2000cwd.googlegroups.com...
Quote:
I require to calculate the circumferential strain of cylinder.
consider a hollow cylinder as active element.
a1 = inner radii
b1 = outer radii
E = Young's modulus
v = Poisson ratio
ec = circumferential strain

I require to obtain the circumferential strain in two different
condition:
1. the inner pressure of cylinder is P and the outer pressure is 0

2. the inner pressure is 0 and the outer pressure is P

I can calculate stress components of cilynder such as radial and
tangential and longitudinal stress in two above condition. what
relation are there between thess stresses and circumferential strain.


Circumferential strain is the same as tangential strain in this case.

If you have Radial stress, Axial stress and Tangential (Circumferential
stress) apply Hooke's Law and voila.

Consult any book on Solids Mechanics for Hooke's law and another on Theory
of Elasticity for evaluating stresses.

This is the classical so called problem of "thick wall cylinder".

--
Juan Vazquez
To e-mail me substitute "_"s by "e" and "c".
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mailaref80@gmail.com
science forum beginner


Joined: 09 Jul 2006
Posts: 2

PostPosted: Sun Jul 09, 2006 12:42 pm    Post subject: Re: circumferential strain Reply with quote

thank you very much,
I think, you are right, But in an article I read that the
circumferential strain of cylinder when the cylinder is inner
pressurized is:
ec=P*(k2)^2*(2-v)/[(k2)^2-1]
the above expression is not equal to tangentional strain. I think these
are not equal.
Please let me know, if you would like to see the article.

Juan Vazquez wrote:
Quote:
mailaref80@gmail.com> escribiˇ en el mensaje
news:1152441095.949504.45500@m73g2000cwd.googlegroups.com...
I require to calculate the circumferential strain of cylinder.
consider a hollow cylinder as active element.
a1 = inner radii
b1 = outer radii
E = Young's modulus
v = Poisson ratio
ec = circumferential strain

I require to obtain the circumferential strain in two different
condition:
1. the inner pressure of cylinder is P and the outer pressure is 0

2. the inner pressure is 0 and the outer pressure is P

I can calculate stress components of cilynder such as radial and
tangential and longitudinal stress in two above condition. what
relation are there between thess stresses and circumferential strain.


Circumferential strain is the same as tangential strain in this case.

If you have Radial stress, Axial stress and Tangential (Circumferential
stress) apply Hooke's Law and voila.

Consult any book on Solids Mechanics for Hooke's law and another on Theory
of Elasticity for evaluating stresses.

This is the classical so called problem of "thick wall cylinder".

--
Juan Vazquez
To e-mail me substitute "_"s by "e" and "c".
Back to top
Juan Vazquez
science forum beginner


Joined: 18 Apr 2005
Posts: 12

PostPosted: Fri Jul 14, 2006 10:41 am    Post subject: Re: circumferential strain Reply with quote

<mailaref80@gmail.com> escribiˇ en el mensaje
news:1152448960.601217.182920@p79g2000cwp.googlegroups.com...
Quote:
ec=P*(k2)^2*(2-v)/[(k2)^2-1]
the above expression is not equal to tangentional strain. I think these
are not equal.
Please let me know, if you would like to see the article.

Yes, I would like to.

Regards,

--
Juan Vazquez
To e-mail me substitute "_"s by "e" and "c".
Back to top
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