The stress-strain diagram for a steel alloy having an original diameter of 0.5 in. and a gauge length of 2 in. is given in the figure. Deterinine approx- imately: (a) the Modulus of Elasticity for the material (b) the load on the specimen that will canse yielding (c) the ultimmate load the specimen will support

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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The stress-strain diagram for a steel alloy having an original diameter of
0.5 in. and a gauge length of 2 in. is given in the figure. Deterinine approx-
imately:
(a) the Modulus of Elasticity for the material
(b) the load on the specimen that will canse yielding
(c) the ultimate load the specimen will support
(d) the Modulus of Resilience
(e) the Modulus of Toughness
Note that the lower scale supports the lower curve and the upper scale
supports the upper curve. The lower eurve is the initial portion of the entire
stress-strain curve that is picked up by the upper curve. The two eurves
together represent one complete stress-strain curve. For part (e) you can
approximate the area under the curves
counting boxes.
o (ksi)
80
70 -
60-
50
40
30 -
20
10
0.
E ()
Iower scale
F0.28- 0.0035
- 0.24– 0.0030
-0.20- 0.0025
-0.16- 0.0020
- 0.12- 0.0015
-0.08- 0.0010
-0.04-0.0005
Transcribed Image Text:The stress-strain diagram for a steel alloy having an original diameter of 0.5 in. and a gauge length of 2 in. is given in the figure. Deterinine approx- imately: (a) the Modulus of Elasticity for the material (b) the load on the specimen that will canse yielding (c) the ultimate load the specimen will support (d) the Modulus of Resilience (e) the Modulus of Toughness Note that the lower scale supports the lower curve and the upper scale supports the upper curve. The lower eurve is the initial portion of the entire stress-strain curve that is picked up by the upper curve. The two eurves together represent one complete stress-strain curve. For part (e) you can approximate the area under the curves counting boxes. o (ksi) 80 70 - 60- 50 40 30 - 20 10 0. E () Iower scale F0.28- 0.0035 - 0.24– 0.0030 -0.20- 0.0025 -0.16- 0.0020 - 0.12- 0.0015 -0.08- 0.0010 -0.04-0.0005
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