Question

Part A - Maximum allowable pressure in the cylindrical pressure vessel Learning Goal: To calculate the maximum allowable stresses in pressure vessels, compute the minimum allowable thickness of pressure vessels to meet certain constraints, and observe and compare properties of different pressure vessel shapes. Engineers are considering two possible vessel shapes for storing fuel. One shape is cylindrical and the other is spherical. Each vessel would be constructed out of the same material such that its hoop stresses and longitudinal stresses would be no greater than 16.0 ksi . The cylindrical pressure vessel has an inside diameter of de = 29.0 in and a thickness of te = 1.00 in. The spherical pressure vessel has an inside diameter of ds = 30.0 in and a thickness of t = 0.750 in Determine the maximum allowable pressure, Pc,max, in the cylindrical pressure vessel. Express your answer in psi to three significant figures. View Available Hint(s) ΤΕΙ ΑΣΦ J1 vec ? Pc, max = psi Submit Part B - Maximum allowable pressure in the spherical pressure vessel Determine the maximum allowable pressure, Ps,max, in the spherical pressure vessel. Express your answer in psi to three significant figures. View Available Hint(s) ΙΤΑΙ ΑΣφ vec ?

Answer 1

Dutch & Jesset * Given cylindrical spherical inside diu = d = 29 in inside dia=dg= 30 in thicknung = t = 1 in thicknen=ţ= 0.750 in = 16 KS i Gallow = 168103 psi solutings Here both vessel thin cyper. For Cylinder te <-1 ( 1 de 15 Gallow = 16 ksi are o For sphere ts 1 IS ds Generally design design based based on muxin ximum subjected stress conditing, because in design on wont condition

PART - A pressure vessel have For Glindrical Subjected ii muximum strem is hoop stren. for hoop strem for cylinder. ap.D 2t follow Pemix x de 2 x te = Pemux follow X 2 xta de 16x103X2X1 29 ,- PE - 1103.45 psi la o Answer mux А

* PART-B Þ same as for sphericul pressure Vessel. Maximum stren is heup strem. For sphere Hoop stren. Gh PD 4t - Gallow Pym Х allow mux ds 4xts Is munt Sallow x 4 xts ds 16 x 10 x 4 x 0.750 li Is mux 1600 Ps A Annuler (B.

& PART-C Thickner of Cylindrical presure vessel pressure part - B 13 Pe = 1600 Psi cet ah - Po X dc extr i.tr Pc x de 2x6h is ty = 1600 X 29 2X168103 ty= 1.45 in & Answer (c * Result :- PART Answer, A 1103.45 Psi B Pemux es muy ty = 1600 Psi C = 1,45 in