Development of general formulas for bolted flanges by E.O.Waters

[yatin888]

I have a query regarding the derivation "Development of general formulas for bolted flange" by E.O.Waters etc.. which is used in Appendix 2 of ASME Section VIII Division 1.

While calculating strain energy (U2)of hub due to stretching of the inside surface of hub, factor (1-v*v) is not appearing in the denominator. v = poisson's ratio.
As per "Theory of Elastic Stability" By timoshenko, chapter 10 Bending of thin shells, eq. 10-10 (Page 443), factor (1-v*v) should appear in the denominator. I understand that in applying this formula to above derivation, e2 (circumferential strain) is taken as (y / r1 ) and other strains are considered as zero.

Can anyone please help me understand how is the factor (1-v*v) accounted for in this derivation.
Thanks.

[marian_g]

First, why you don't post the article here?
It is quite impossible to answer "in blind".

Second, maybe it is worth to reload the explanations given in “Process Equipment Design”, Brownell & Young, , Chapter 12, Design of Flanges.

[yatin888]

Hello marian_g.
Thanks for your reply.
For reasons unknown i am unable to upload the article(9Mb) here.
If you want i can email(pls share) it to you.

Thanks

[Thaksen79]

Dear Member,

Could you please sent the "Development of general formulas for bolted flange" by E.O.Waters to t_ingole@yahoo.co.in and i shall try to help you.

Thanks for the share.