Question

A pressure vessel of 12” outer diameter and 0.2” wall thickness is fabricated by welding plate in spiral into a cylinder that is 4 feet long. The gage pressure inside the vessel is 800 psi and 15 kip axial compression forces are applied to the rigid end caps. Determine the a) the principle stresses in the walls of the vessel, b) the maximum shear stress in the wall of the vessel (in or out of plane), c) the stress normal to the spiral weld, and d) the in-plane shear stress on the spiral weld. 35°

Answer 1

principal hoop stoon Hoop streu streven in walle of vend are and longitudinal stren G = 88 = 800 X (1.) - 24000 psi langular dinal streu G = 6 - 24000 = 12000 psi poncipal steun cl2uksi G= 24000 psi G2 = 12000. gsi 12 si o Ā T(6.2²-0) arter radiu of vessel 8= 8itt= 6+612= 6,2 m Asea AS IT (80² -8,2)= π (6.2²-6²) a sthed or een 15x10? 2) = 1956-823 85% rotal strewew (6-6) G= 12000 - 1956,823 = 10,043,177 psi! Gy= 6,= 24000 psi marimum shear streu Imou ? x by 10043,197 - 24000 -6998.411 Ai Imawe = -6978, 411 psi –61978 ksi)

c) Couga Gatby 12021. Ses psi Normal streu Gi= = - Gaug timane Con 20 12021.588 + (-6978. 04 11 x C 70) 14634.83 psi rependicular to weld Normal Streu Gis 14.634 ksi In prate shear strey - Tyly' = = Imave sm20 -6978,411 x sin 70 -6557.56 8si : of ta'y' = -6.557 tsi