Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Textbook Question
Chapter 10, Problem 10.4P
The data from the tension test of a steel specimen are given in Table 10.2. The gage length was 2.000 in, and the original diameter was 0.505 in. The final diameter was 0.397 in. Calculate stress and strain at each point and draw the stress-strain diagram. Estimate the value of the modulus of elasticity, upper and lower yield points, ultimate strength, rupture strength, and percent reduction in area. (Hint: Draw a second curve exaggerating the strain scale for the first eight points. See Figure 10.3. )
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A tension test was performed on a specimen having an original diameter of 12.5 mm and a gage length of 50mm.
The data are listed in the table below:
Complete the following:
Plot the stress-strain curve. Label the y-axis every 50 MPa, and the x-axis every 0.05 mm/mm.
Plot the linear portion of the stress-strain curve (first 5 points). Label the y-axis every 50 MPa, and the x-axis every 0.001 mm/mm.
Determine the approximate Modulus of Elasticity
Determine the approximate Ultimate Stress
Determine the approximate Fracture Stress
Determine the approximate Modulus of Resilience
Determine the approximate Modulus of Toughness
Other Requirements:
Provide an example hand-written calculation showing how you calculated one point on the curve.
Remember to properly label your plots and provide axis labels with units.
Hand sketched plots will not be accepted. Use Excel or similar software.
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
The following stress-strain curve was prepared based on a tensile test of a specimen that had a circular cross-section. The gage
diameter of the specimen was 0.25 inches and the gage length was 4 inches. The stress scale of the stress-strain diagram is
given with the factor a = 10 ksi. Estimate:
(a) The modulus of elasticity.
(b) The ultimate strength.
(c) The yield strength (0.2% offset).
(d) The percent elongation at fracture.
2013 Michael Swanbom
STRESS VS. STRAIN
BY NC SA
7a
bat
Sat
2at
at
0.05
STRAIN
0.01
0.04
0.06
0.08
0.02
0.03
0.07
0.09
STRESS
Chapter 10 Solutions
Applied Statics and Strength of Materials (6th Edition)
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Ch. 10 - Test results of a steel specimen indicated an...Ch. 10 - A concrete canoe in storage is supported by two...Ch. 10 - A load is applied to a rigid bar that is...Ch. 10 - Prob. 10.14CPCh. 10 - Write a program that will allow a user to input...Ch. 10 - A 12 - in. - diaiíct.cr structural nickel steel...Ch. 10 - Compute the modulus of elasticity of a copper...Ch. 10 - A concrete cylinder 6 in. in diameter was tested...Ch. 10 - An aluminum bar 2 in. by 12 - in. in cross section...Ch. 10 - During a tensile test of a steel specimen, the...Ch. 10 - A 12.5-mm-diameter steel rod was subjected to a...Ch. 10 - Prob. 10.22SPCh. 10 - A standard steel specimen having a diameter of...Ch. 10 - 10.24 A tension member in a structure is composed...Ch. 10 - A pair of wire cutters is designed to operate...Ch. 10 - Calculate the end bearing length required for a...Ch. 10 - Design a 3-m-long rod subjected to a tensile load...Ch. 10 - The collar bearing shown is subjected to a...Ch. 10 - A 10-ft-long steel member is subjected to a...Ch. 10 - Two steel bars A and B support a load P, as shown....Ch. 10 - Prob. 10.31SP
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