1.4-7 The data shown in the table below were obtained from a tensile test of high-strength steel. The test specimen had a diameter of 13 mm and a gage length of 50 mm (see figure for Prob. 1.4-3). At fracture, the elongation between the gage marks was 3.0 mm and the minimum diameter was 10.7 mm. Plot the conventional stress-strain curve for the steefor the steel and determine the proportional limit, modulus of elastics of elastic- ty (i.e., the slope of the initial part of the stress-strain tress-strain curve), yield stress at 0.1% offset, ultimate stress, percent, elongation in 50 mm, and percent reduction in area. "ess, percent area. TENSILE-TEST DATA FOR PROB. 1.4-7 Elongation (mm) 0.005 Load (kN) 10 0.015 30 0.048 50 0.084 60 0.099 64.5 67.0 0.109 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
1.4-7 The data shown in the table below were obtained from a tensile test of high-strength steel. The test specimen had a diameter of 13 mm and a gage length of 50 mm (see figure for Prob. 1.4-3). At fracture, the elongation between the gage marks was 3.0 mm and the minimum diameter was 10.7 mm. Plot the conventional stress-strain curve for the steefor the steel and determine the proportional limit, modulus of elastics of elastic- ty (i.e., the slope of the initial part of the stress-strain tress-strain curve), yield stress at 0.1% offset, ultimate stress, percent, elongation in 50 mm, and percent reduction in area. "ess, percent area. TENSILE-TEST DATA FOR PROB. 1.4-7 Elongation (mm) 0.005 Load (kN) 10 0.015 30 0.048 50 0.084 60 0.099 64.5 67.0 0.109 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
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...
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Transcribed Image Text:1.4-7 The data shown in the table below were obtained
from a tensile test of high-strength steel. The test specimen
had a diameter of 13 mm and a gage length of 50 mm (see
figure for Prob. 1.4-3). At fracture, the elongation between
the gage marks was 3.0 mm and the minimum diameter was
10.7 mm.
Plot the conventional stress-strain curve for the steefor the steel
and determine the proportional limit, modulus of elastics of elastic-
ity (i.e., the slope of the initial part of the stress-strain,tress-strain
curve), yield stress at 0.1% offset, ultimate stress, percent,
elongation in 50 mm, and percent reduction in area.
'ess, percent
area.
TENSILE-TEST DATA FOR PROB. 1.4-7
Elongation (mm)
0.005
0.015
0.048
Load (kN)
5
10
30
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
Transcribed Image Text:1.5-5 A wire of length L = 2.5 m and diameter d = 1.6 mm
is stretched by tensile forces P = 600 N. The wire is made of
a copper alloy having a stress-strain relationship that may be
described mathematically by the following equation:
124,020e
0 < es 0.03
( σ -MPa)
1 + 300ɛ
in which e is nondimensional and o has units of MPa.
(a) Construct a stress-strain diagram for the material.
(b) Determine the elongation of the wire due to the
forces P.
(c) If the forces are removed, what is the permanent
set of the bar?
(d) If the forces are applied again, what is the propor-
tional limit?
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