Question

Assuming that the thin-walled pressure vessel model is valid, and thus Eq. (4.1) for axial stress og and equation derived above for circumferential stress oc hold, Eq. (4.2a) may be simplified to (1-2v) Ea = E Simplify Eq. (4.2b) to express Ec as a function of oc, E, and v by a similar approach. (4.1) 0a(2art) = Ap(nr?) ca = (a – vod) (4.2a) (4.2b)

Answer 1

Q : This cylinder pressure analysis & RASAD P Jet & e da Internal diameter al cylinder a t- llu'cleoedd 9 9 9 e = Length al celinder P = Internal prefere in cylinders re= circumferential or hoop Strene a= axial /longitunidal Stren E = Youngs modulus u= 1 = poission ratio - Burstin geforce (pressure = Resisting) Stength - Jax (ndt = Px 1 22 - oa 20helt = Px487 at loa=Pd - Axial Stress = 44

. px de = Sex Caxt ② strain in this cylinders V Axial strain ea = ra 21 circumferential Strain ea re la 20ade from ezin - leată (ra-moe reas Pd (1-2M) 44E ear Ź C 1-24100 - lea= set change in length

3) Circunferential straine ( 3 | - 1 eco ste longe in diameter = = رهی مد -6 ) - eczé (re-moe) from ear the = = رادة) = = 4 کا + = = (3) 2 زيد ) د اربد) م = له = رم - 2 رد (-) دي 4