5 A one mm diameter steel wire is wounded around a copper tube with external andinternal diameters of 140 mm and 120 mm respectively, to increase the strength oftube against internal pressure, find what initial tension must be given to wire, so thatmaximum allowable stresses for the tube and wire materials 90 and 200 N/mm?respectively are reached simultaneously. Assume poisson coefficient for wire andtube material as 0.3. Modulus of elasticity for copper and steel wire 1000 N/mm' and2000 N/mm? respectively. The tube is open at ends.reouirements

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st internal pressure, find w allowable stresses for the y are reached simultaneo

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.4.5P: A solid circular steel cylinder S is encased in a hollow circular aluminum tube A. The cylinder and...

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

5 A one mm diameter steel wire is wounded around a copper tube with external and
internal diameters of 140 mm and 120 mm respectively, to increase the strength of
tube against internal pressure, find what initial tension must be given to wire, so that
maximum allowable stresses for the tube and wire materials 90 and 200 N/mm?
respectively are reached simultaneously. Assume poisson coefficient for wire and
tube material as 0.3. Modulus of elasticity for copper and steel wire 1000 N/mm' and
2000 N/mm? respectively. The tube is open at ends.
reouirements

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