A thin-walled cylinder of diameter 40 mm is subjected to an internal pressure of 5 N/mm² and a torque of 100 Nm. If the material of the cylinder has a yield stress in simple tension of 150 N/mm² determine the required wall thickness using the Tresca and von Mises theories of elastic failure.

A thin-walled cylinder of diameter 40 mm is subjected to an internal pressure of 5 N/mm² and a torque of 100 Nm. If the material of the cylinder has a yield stress in simple tension of 150 N/mm² determine the required wall thickness using the Tresca and von Mises theories of elastic failure.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.4P: Solve the preceding problem if the internal pressure is 3,85 MPa, the diameter is 20 m, the yield...

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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 thin-walled cylinder of diameter 40 mm is subjected to an internal pressure of 5 N/mm²
and a torque of 100 Nm. If the material of the cylinder has a yield stress in simple tension of
150 N/mm determine the required wall thickness using the Tresca and von Mises theories
of elastic failure.
Ans. 0.81 mm (Tresca), 0.74 mm (von Mises).

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