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mailaref80@gmail.com
science forum beginner

Joined: 09 Jul 2006
Posts: 2 Posted: Sun Jul 09, 2006 10:31 am    Post subject: circumferential strain 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. Juan Vazquez
science forum beginner

Joined: 18 Apr 2005
Posts: 12 Posted: Sun Jul 09, 2006 12:17 pm    Post subject: Re: circumferential strain <mailaref80@gmail.com> escribió en el mensaje
 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". mailaref80@gmail.com
science forum beginner

Joined: 09 Jul 2006
Posts: 2 Posted: Sun Jul 09, 2006 12:42 pm    Post subject: Re: circumferential strain 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> escribió 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". Juan Vazquez
science forum beginner

Joined: 18 Apr 2005
Posts: 12 Posted: Fri Jul 14, 2006 10:41 am    Post subject: Re: circumferential strain <mailaref80@gmail.com> escribió en el mensaje
 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".  Display posts from previous: All Posts1 Day7 Days2 Weeks1 Month3 Months6 Months1 Year Oldest FirstNewest First
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