Engineers are considering two possible vessel shapes for storing fuel. One shape
ID: 2995126 • Letter: E
Question
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 18.0ksi . The cylindrical pressure vessel has an inside diameter of dc = 25.0in and a thickness of
Thin-Walled Pressure Vessels 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 vesse would be constructed out of the same material such that its hoop stresses and longitudinal stresses would be no greater than 18.0ksi The cylindrical pressure vessel has an inside diameter of de a 25.0in and a thickness of t 1.00in The spherical pressure vessel has an inside diameter of dg 29.0in and a thickness of t 0.750in. Part A Maximum allowable pressure in the cylindrical pressure vessel Determine the maximum allowable pressure, p max, in the cylindrical pressure vessel to three significant figures. Express your answer in psi COreset shortcuts help ps 56.25 Submit Hints My Answers Give U Review Part Incorrect, Try Again, 2 attempts remaining Part B Maximum allowable pressure in the spherical pressure vessel Determine the maximum allowable pressure, p max, in the spherical pressure vessel to three significant figures. Express your answer in psi aB, Lt, O reset shortcuts help ps Submit Hints My Answers Give Up Review Part Part C Required thickness of the cylindrical pressure vessel for maximum pressure equivalency Determine the required thickness of the cylindrical pressure vessel, t if it is subjected to the maximum allowable pressure of the spherical pressure vessel that was calculated in Part B Express your answer to three significant figures and include appropriate units. Oreset shortcuts help Submit Hints My Answers Give Up Review PartExplanation / Answer
?c (circumfercial stress) < 19 ksi
given;
for cylindrical pr vessel
Dc=28 in,
tc=1 in
for spherical pr vessel
Ds=30 in,
ts=0.75 in
a) max all pr in cylinderical vessel
( Pr * Dc ) / (2*tc) < 19 ksi
(Pr * 28) / (2*1) < 19
Pr = 1.357 ksi
b) max all pr in spherical vessel
( Pr * Ds ) / (4*ts) < 19 ksi
(Pr * 30) / (4*0.75) < 19
Pr = 1.9 ksi
c) thickness calculation
( Pr * Dc ) / (2*tc) < 19 ksi
(1.9 * 28) /(2* tc) <19
tc= 1.4 in
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