Prove the formula or derivation the given below  Hoop stress Longitudinal stress   And explain poisson ratio

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.2.10P: Solve the preceding problem for the following data: diameter LO m, thickness 48 mm, pressure 22 MPa,...
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Prove the formula or derivation the given below

 Hoop stress

Longitudinal stress 

 And explain poisson ratio.

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