Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 6.13, Problem 79SEP
a)
To determine
The magnitude of true stress corresponding to the ultimate strength has to be determined.
b)
To determine
The magnitude of true strain corresponding to the ultimate strength has to be determined.
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A steel specimen 12mm diameter has gauge length 50mm. the steel specimen
had tested via tensile test under maximum load 66KN with elongation 7.5mm,
and the yield load of this specimen is 15KN with elongation 2.4mm. Calculate:
1- The engineering ultimate stress (ultimate tensile strength), and engineering
strain at this point.
2- The engineering stress and strain at yield point.
3- The modulus of elasticity, and the modulus of resilience.
4- The final or fracture strain of a steel specimen, if you know that the final length
of specimen after testing is 58.5mm.
5- The true stress and strain for ultimate point.
any four point sir
The data shown in the table below were obtained from a tensile test of high-strength steel. The test specimen had a diameter of 13mm and a gage length of 50mm. At fracture, the elongation between the gage marks was 3.0mm and the minimum diameter was 10.7mm.
Plot the conventional stress-strain curve for the steel and determine the propotional limit, modulus of elasticity (i.e the slope of the initial part of the stress-strain curve), yield stress at 0.1% offset, ultimate stress, percent elongation in 50mm, and percent reduction area.
TENSILE-TEST DATA
Load(kN)
Elongation(mm)
5
0.005
10
0.015
30
0.048
50
0.084
60
0.099
64.5
0.109
67.0
0.119
68.0
0.137
69.0
0.160
70.0
0.229
72.0
0.259
76.0
0.330
84.0
0.584
92.0
0.853
100.0
1.288
112.0
2.814
113.0
Fracture
A metallic rod with an initial diameter of 10 mm and an initial length of 50 mm is subjected to the tensile test. After the fracture, the final length was measured as 51.8 mm, and the final diameter was measured as 9.5 mm.(a) Calculate modulus of elasticity, ultimate tensile strength, elongation at fracture in %,reduction of area in %, true stress at maximum load, true strain at maximum load, strain hardening exponent, strength coefficient.?
Chapter 6 Solutions
Foundations of Materials Science and Engineering
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An Introduction to Stress and Strain; Author: The Efficient Engineer;https://www.youtube.com/watch?v=aQf6Q8t1FQE;License: Standard YouTube License, CC-BY