1.6-6 A continuous cable (diameter 6 mm) with ten-sion force T is attached to a horizontal frame mem-ber at B and C to support a sign structure. The cablepasses over a small frictionless pulley at D. The wireis made of a copper alloy, and the stress-strain rela-tionship for the wire is124,000Єσ(ε)1 + 300€0 ≤ & ≤ 0.03 (σ in MPa)(a) Find the axial normal strain in the cable and itselongation due to the load W = 6.8 kN.(b) If the forces are removed, what is theset of the cable?permanentHint: Start with constructing the stress-strain dia-gram and determine the modulus of elasticity, E, andthe 0.2% offset yield stress.y^D2 mA1.5 mB1.5 mEF0.75 mPROBLEM 1.6-61 m→1 m→→0.25 mW = 6.8 kN

The stress-strain relationship for the wire ishere, is the strainThere are different values of the…

Answered: sion force T is attached to a horiz ber…

sion force T is attached to a horiz ber at B and C to support a sign st passes over a small frictionless pu is made of a copper alloy, and the tionship for the wire is

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 2.11.5P: An aluminum bar subjected to tensile Forces P has a length L = 150 in. and cross-sectional area A =...

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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

1.6-6 A continuous cable (diameter 6 mm) with ten-
sion force T is attached to a horizontal frame mem-
ber at B and C to support a sign structure. The cable
passes over a small frictionless pulley at D. The wire
is made of a copper alloy, and the stress-strain rela-
tionship for the wire is
124,000Є
σ(ε)
1 + 300€
0 ≤ & ≤ 0.03 (σ in MPa)
(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
set of the cable?
permanent
Hint: Start with constructing the stress-strain dia-
gram and determine the modulus of elasticity, E, and
the 0.2% offset yield stress.
y^
D
2 m
A
1.5 m
B
1.5 m
E
F
0.75 m
PROBLEM 1.6-6
1 m→1 m→→
0.25 m
W = 6.8 kN

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Step 1: Tabular the stress and strain data.

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Step 2: Plot the stress-strain curve.

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Step 3: Determine the expression for the youngs modulus.

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Step 4: Determine the case for permanent set.

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Step 5: Determine the value of axial force.

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Step 6: Determine the value of inclination.

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Step 7: Determine the value of stress.

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Step 8: Determine the value of elonagtion and strain.

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