A pressure vessel is exposed to a combination of loads as shown below. The vessel (diameter 100 mm) has a wall thickness of 3 mm. Address the following: (a) If the yield strength of the material is 144 MPa, determine the largest tension force P with respect to a factor of safety of 2 applied to the distortional energy theory. (b) If the applied torque and tension load were removed, determine the minimum wall thickness using a factor of safety of 1.75 with respect to the distortional energy theory. Illustrate you results using an appropriate yield envelope. p = 3.5 MPa T = 450 N-m P

A pressure vessel is exposed to a combination of loads as shown below. The vessel (diameter 100 mm) has a wall thickness of 3 mm. Address the following: (a) If the yield strength of the material is 144 MPa, determine the largest tension force P with respect to a factor of safety of 2 applied to the distortional energy theory. (b) If the applied torque and tension load were removed, determine the minimum wall thickness using a factor of safety of 1.75 with respect to the distortional energy theory. Illustrate you results using an appropriate yield envelope. p = 3.5 MPa T = 450 N-m P

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

A pressure vessel is exposed to a combination of loads as shown below. The vessel (diameter 100 mm) has a wall thickness of 3 mm. Address the following:

(a) If the yield strength of the material is 144 MPa, determine the largest tension force P with respect to a factor of safety of 2 applied to the distortional energy theory.

(b) If the applied torque and tension load were removed, determine the minimum wall thickness using a factor of safety of 1.75 with respect to the distortional energy theory. Illustrate your results using an appropriate yield envelope.

Diagram:
The image shows a cylindrical pressure vessel subjected to an internal pressure and torsion. The diagram includes arrows indicating the tension force P and applied torque T. The dimensions and loads applied to the vessel are specified as:
- Internal pressure (p) = 3.5 MPa
- Applied torque (T) = 450 N-m

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