A continuous cable (diameter 6 mm) with tension force T is attached to ahorizontal frame member at Band C to support a sign structure. Thecable passes over a small friction less pulley at D. The wire is made of acopper alloy, and the stress-strain relationship for the wire isσ(ε)=124.00ε/1+300ε 0≤ ε ≤ 0.03 (σ in MPa) (a) Find the axial normal strain in the cable and its elongation due to theload W=6.8 kN.(b) If the forces are removed, what is the permanent set of the cable?Hint: Start with constructing the stress-strain diagram and determinethe modulus of elasticity, E. and the 0.2% offset yield stress.

A continuous cable (diameter 6 mm) with tension force T is attached to ahorizontal frame member at Band C to support a sign structure. Thecable passes over a small friction less pulley at D. The wire is made of acopper alloy, and the stress-strain relationship for the wire isσ(ε)=124.00ε/1+300ε 0≤ ε ≤ 0.03 (σ in MPa) (a) Find the axial normal strain in the cable and its elongation due to theload W=6.8 kN.(b) If the forces are removed, what is the permanent set of the cable?Hint: Start with constructing the stress-strain diagram and determinethe modulus of elasticity, E. and the 0.2% offset yield stress.

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 8.2.2P: A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas....

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Concept explainers

Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.

Question

(a) Find the axial normal strain in the cable and its elongation due to the
load W=6.8 kN.
(b) If the forces are removed, what is the permanent set of the cable?
Hint: Start with constructing the stress-strain diagram and determine
the modulus of elasticity, E. and the 0.2% offset yield stress.

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