5. A brass pipe has an internal diameter of 400mm and a metal thickness of 6mm. A single layer of high tensile wire of diameter 3 mm is wound closely round it at a tension of 500 N. Find : (a) the stress in the pipe when there is no internal pressure; (b) the maximum permissible internal pressure in the pipe if the working tensile stress in the brass is 60 MN/m'; (c) the stress in the steel wire under condition (b). Treat the pipe as a thin cylinder and neglect longitudinal stresses and strains. Es = 200GN/m²; EB = 100GN/m?.

5. A brass pipe has an internal diameter of 400mm and a metal thickness of 6mm. A single layer of high tensile wire of diameter 3 mm is wound closely round it at a tension of 500 N. Find : (a) the stress in the pipe when there is no internal pressure; (b) the maximum permissible internal pressure in the pipe if the working tensile stress in the brass is 60 MN/m'; (c) the stress in the steel wire under condition (b). Treat the pipe as a thin cylinder and neglect longitudinal stresses and strains. Es = 200GN/m²; EB = 100GN/m?.

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 8.3.12P: A cylindrical tank with hemispherical heads is constructed of steel sections that are welded...

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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

5. A brass pipe has an internal diameter of 400mm and a metal thickness of 6mm. A
single layer of high tensile wire of diameter 3 mm is wound closely round it at a
tension of 500 N. Find :
(a) the stress in the pipe when there is no internal pressure;
(b) the maximum permissible internal pressure in the pipe if the working tensile
stress in the brass is 60 MN/m';
(c) the stress in the steel wire under condition (b). Treat the pipe as a thin cylinder
and neglect longitudinal stresses and strains. Es = 200GN/m2; EB = 100GN/m?.

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