Bundle: Mechanics Of Materials, Loose-leaf Version, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
9th Edition
ISBN: 9781337594318
Author: Barry J. Goodno; James M. Gere
Publisher: Cengage Learning
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Chapter 8, Problem 8.3.1P
A fire extinguisher tank is designed for an internal pressure of 825 psi. The tank has an outer diameter of 4.5 in. and thickness of O.OS in. Calculate the longitudinal stress, the circumferential stress, and the maximum shear stresses (out-of-plane and in-plane) at the outer surface of the tank.
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The closed thin-walled tank has an inner radius of r and wall thickness t and contains a gas
of pressure of p. The state of stress at point "a" on the surface of the tank is represented by
stress components with an unknown stress element rotation angle of 0. Note that, the two
normal stress components for x'y' system (note: not xy system!) are known: ox, = 120 MPa
and Oy
= 180 MPa, but the shear stress component (T,) is unknown. Determine:
(1) the principal stresses at point a ;
(2) Tx'yı ;
(3) rotation angle of 0 .
y
180 MPa
120 MPа х
0 = ?
a
Tyy = ?
tank cross section
stress state at point a
A cylindrical steel pressure vessel with a diameter of 1200 mm and a wall thickness of 20 mm is subjected to an internal pressure of 4.5 MPa. Find the longitudinal stress in the tank.
b) For the thin walled pressure vessel subjected to an internal pressure of 150 psi and as
shown below, calculate the longitudinal and transverse stresses. Assume length as L ft
1.
and wall thickness as -in.
2 ft
E 2.5 ft
Tuno vou
Woud foumat houn
Chapter 8 Solutions
Bundle: Mechanics Of Materials, Loose-leaf Version, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
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