Question

preore vesseis censtusted wih an elen ended seel nd ef dimete lencth lo" and wall thickncss 0325 The cuds are sealed with rigid ena & Ahreads per inch ond th retaining nuts have been tightened V4 turn their juct snun pan befere pressure is applicd Find the intemal emsurehot ll Consto pen-en ressur e Cesuse inci pient leakase from the vesse eo kage trom e VesSe 10 0 325 thick 1/4" ø. I 8 TPI bolt Im 1/4-o, 18 TPI bolt V1 16 17 18

Answer 1

Since, t(-0.325")-D/20(-0.4% the given pressure vessel can be considered as a thin cylinder Thus Force AE, Let 'K' be the equivalent spring constant of the screw given as, Deflection L where, 4' -4(ī 0.049(inch)2 L = 10inch and E =Young's Modulus of screw Now, Deflection. δ-: Distance moved by the screw in 1 /4 turns Since, there are 18 tooth per inch, i.e., (1/18) inch is moved in one rotation of the screvw 18 4 72 Thus As there are four screws in parallel, they can be assumed to be acting as four springs in parallel Thus, eq For the equilibrium of the ends ƠIongAbase一(AK) × δ 4t p×8" 0,049 sq. inch × 10" Assuming screws to be made up of steel having E-29000 ksi, 4 × 0.325" 8" × 50.265 sq. inch 0.049 sq. inch × 29000 ksi 72 p = 25.52 psi