A circular bar of magnesium alloy is 390 mm long. The stress-strain diagram for the material is shown in the figure.70635649O (MPa) 423528211470.0020.0040.0060.0080.01The bar is loaded in tension to an elongation of 2.34 mm, and then the load is removed. Hint: Use the concepts illustrated in the figures below. (Assume the curve in the figure above is linear between (0, 0) and (0.001, 28), and curves with a graduallydecreasing slope otherwise.)FВEFLoadingCDLoadingResidualElasticstrainrecovery(a) What is the permanent set of the bar (in mm)?2.184X mm(b) If the bar is reloaded, what is the proportional limit (in MPa)?55X MPa

Given that, length of bar = 390 mm elongation = 2.34 mm Therefore, strain, ε=ΔLL=2.34390=6×10-3…

Answered: (a) What is the permanent set of the…

(a) What is the permanent set of the bar (in mm)? 2.184 ] mm (b) If the bar is reloaded, what is the proportional limit (in MPa)? 55 x MPa

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter1: Introduction

Section: Chapter Questions

Problem 1.5.5P: The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen...

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Concept explainers

Properties of materials

A property of a material describes its characteristics and distinguishes it from the others. The material properties are described it in terms of its hardness, color, appearances, and so on. The material properties generally depend on the type of material, or whether it is a metal or an alloy. There are different kinds of material properties such as mechanical properties, thermal properties, physical properties, and chemical properties. Chemical properties describe the material in terms of a chemical change. The mechanical properties come into existence when the material is acted upon by an external load. Thermal properties are associated with the temperature of the material and specific heat.

Question

A circular bar of magnesium alloy is 390 mm long. The stress-strain diagram for the material is shown in the figure.
70
63
56
49
O (MPa) 42
35
28
21
14
7
0.002
0.004
0.006
0.008
0.01
The bar is loaded in tension to an elongation of 2.34 mm, and then the load is removed. Hint: Use the concepts illustrated in the figures below. (Assume the curve in the figure above is linear between (0, 0) and (0.001, 28), and curves with a gradually
decreasing slope otherwise.)
F
В
E
F
Loading
CD
Loading
Residual
Elastic
strain
recovery
(a) What is the permanent set of the bar (in mm)?
2.184
X mm
(b) If the bar is reloaded, what is the proportional limit (in MPa)?
55
X MPa

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Step 1: Locating the point on the stress strain curve

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Step 2: Computation of permanent set

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Step 3: Computation of proportional limit on reloading the bar

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