A cylindrical pressure vessel having a radius r = 14 in. and wall thickness t = 0.375 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.) (a) Determine the maximum tensile stress omay and the maximum in-plane shear stress Tmay in the wall of the cylinder. (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)?

A cylindrical pressure vessel having a radius r = 14 in. and wall thickness t = 0.375 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.) (a) Determine the maximum tensile stress omay and the maximum in-plane shear stress Tmay in the wall of the cylinder. (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)?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

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A cylindrical pressure vessel having a radius r = 14 in. and wall thickness t = 0.375 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.)
(a) Determine the maximum tensile stress omay and the maximum in-plane shear stress Tmay in the wall of the cylinder. (Enter the magnitudes in ksi.)
o, =
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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