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 8.5.8P
A pressurized cylindrical tank with flat ends is loaded by torques T and tensile forces P (sec figure), The tank has a radius of r = 125 mm and wall thickness t = 6.5 mm. The internal pressure p = 7.25 MPa and the torque T = 850 N m.
(a) What is the maximum permissible value of the forces P if the allowable tensile stress in the wall of the cylinder is 160 MPa?
(b) If forces P = 400 kN, what is the maximum acceptable internal pressure in the tank?
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A pressurized cylindrical tank with flat endsis loaded by torques T and tensile forces P (see figure).The tank has a radius of r =125 mm and wall thicknesst = 6.5 mm. The internal pressure p = 7.25 MPaand the torque T =850 N .m.(a) What is the maximum permissible value of theforces P if the allowable tensile stress in the wallof the cylinder is 160 MPa?(b) If forces P =400 kN, what is the maximumacceptable internal pressure in the tank?
A pressurized cylindrical tank with flat ends is loaded by torques T and tensile
forces P (see figure). The tank has a radius of r = 125 mm and wall thickness t = 6.5 mm.
The internal pressure p = 7.25 MPa and the torque T = 850 N-m. What is the maximum
permissible value of the force P if the allowable tensile stress in the wall of the cylinder
is 80 MPa?
P
T
Q1
A thick-walled, steel cylinder of internal radius r₁ = 0.08m and external radius ro = 0.12m is
subjected to an internal pressure, Pi = 150MPa. The internal pressure is retained by pistons that
may be assumed to slide without friction in the bore of the cylinder, Figure Q1a.
Pi
ro
ri
Figure Q1a
(a) Calculate the radial and circumferential stresses at the inner and outer surfaces of the cylinder.
(b) Calculate the axial strain for the internal pressure of 150MPa and the change in length, if the
pressurised length of the cylinder is 0.8m when unloaded.
Esteel 205GPa
=
Vsteel = 0.3
(c) The design is modified and the cylinder is mounted between rigid surfaces at both ends such
that its length remains fixed, Figure Q1b. By consideration of stresses at the internal radius,
r₁, of the cylinder according to the Von Mises Criterion, calculate the pressure required to
initiate yield in the cylinder wall. The yield stress for the material, σy = 450 MPa.
Pi
Figure Q1b
Chapter 8 Solutions
Bundle: Mechanics Of Materials, Loose-leaf Version, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
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