what is the minimum required wall thickness (in inches)?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![A cylindrical pressure vessel having a radius r = 14 in. and wall thickness t = 0.625 in. is subjected to internal
pressure p = 375 psi. In addition, a torque T = 90 kip-ft acts at each end of the cylinder (see figure). (Assume that the
structures behave linearly elastically and that the stresses caused by two or more loads may be superimposed to obtain the
resultant stresses acting at a point. Consider both in-plane and out-of-plane shear stresses unless otherwise specified.)
T
T
(a) Determine the maximum tensile stress o,
and the maximum in-plane shear stress T
in the wall of the cylinder.
max
max
(Enter the magnitudes in ksi.)
ksi
=
Tmax
ksi
(b) If the allowable in-plane shear stress is 4.5 ksi, what is the maximum allowable torque T? (Enter the magnitude in
kip-ft.)
| kip-ft
(c) If T = 150 kip-ft and allowable in-plane shear and allowable normal stresses are 4.5 ksi and 11.5 ksi, respectively,
what is the minimum required wall thickness (in inches)?
in.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b95982c-5f2c-40ce-9980-8d05feb1e5a9%2Fafeb6d17-488b-4bb4-bebe-e0a77a2b822c%2F1u81vcn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A cylindrical pressure vessel having a radius r = 14 in. and wall thickness t = 0.625 in. is subjected to internal
pressure p = 375 psi. In addition, a torque T = 90 kip-ft acts at each end of the cylinder (see figure). (Assume that the
structures behave linearly elastically and that the stresses caused by two or more loads may be superimposed to obtain the
resultant stresses acting at a point. Consider both in-plane and out-of-plane shear stresses unless otherwise specified.)
T
T
(a) Determine the maximum tensile stress o,
and the maximum in-plane shear stress T
in the wall of the cylinder.
max
max
(Enter the magnitudes in ksi.)
ksi
=
Tmax
ksi
(b) If the allowable in-plane shear stress is 4.5 ksi, what is the maximum allowable torque T? (Enter the magnitude in
kip-ft.)
| kip-ft
(c) If T = 150 kip-ft and allowable in-plane shear and allowable normal stresses are 4.5 ksi and 11.5 ksi, respectively,
what is the minimum required wall thickness (in inches)?
in.
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