1. The plot below of load vs. extension was obtaimed using a specimen (shown in the following figure) of an alloy remarkably similar to the alumimum-killed steel found in automotive fenders, hoods, etc. The crosshead speed, v, was 3.3x104 inch/second. The extension was measured using a 2" extensometer as shown (G). Eight points on the plastic part of the curve have been digitized for you. Use these points to help answer the following questions. 900 800 (0.10, 630 ) 700 (0.50, 745) (0.30. 729)

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.8P
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The plot below of load vs. extension was obtained using a specimen (shown in the following figure)
of an alloy remarkably similar to the aluminum-killed steel found in automotive fenders, hoods,
etc. The crosshead speed, v, was 3.3x104 inch/second. The extension was measured using a 2"
extensometer as shown (G). Eight points on the plastic part of the curve have been digitized for
you. Use these points to help answer the following questions.
1.
900
800
(0.10, 630 )
700
(0.50, 745)
(0.30, 729)
600
(0.20, 699)
(0.40, 741.5)
500-
(0.004, 458)
(0.80, 440 ) -
400
(0.0018, 405)
300
D= 3.3 "
0.03"
200
G=2.0"
100 -
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
Extension, inches
a. Determine the following quamtities. Do not neglect to include proper units in your answer.
Young's Modulus
Total elongation
Yield stress
Ultimate tensile strength
Uniform elongation
Engineering strain rate
Post-uniform elongation
b. Construct a table with the following headings, left-to-right: Extension, load, engineering
strain, engineering stress, true strain, true stress. Fill in for the eight points on graph.
What is the percentage difference between true and engineering strains for the first point?
(i.e., % =
What is the percentage difference between true and engineering strains for the last point?
c. Plot the engineering and true stress-strain curves on a single graph using the same units.
х 100)
d. Calculate the work-hardening rate graphically and provide the in-in plot along with the
value of n. How does n compare with the uniform elongation in Part a? Why?
e. A second tensile test was carried out on an identical specimen of this material, this time
using a crosshead speed of 3.3x102 inch/second. The load at an extension of 0.30 inch
was 763.4 lb. What is the strain-rate sensitivity index, m, for this material?
spunod 'proT
Transcribed Image Text:The plot below of load vs. extension was obtained using a specimen (shown in the following figure) of an alloy remarkably similar to the aluminum-killed steel found in automotive fenders, hoods, etc. The crosshead speed, v, was 3.3x104 inch/second. The extension was measured using a 2" extensometer as shown (G). Eight points on the plastic part of the curve have been digitized for you. Use these points to help answer the following questions. 1. 900 800 (0.10, 630 ) 700 (0.50, 745) (0.30, 729) 600 (0.20, 699) (0.40, 741.5) 500- (0.004, 458) (0.80, 440 ) - 400 (0.0018, 405) 300 D= 3.3 " 0.03" 200 G=2.0" 100 - 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Extension, inches a. Determine the following quamtities. Do not neglect to include proper units in your answer. Young's Modulus Total elongation Yield stress Ultimate tensile strength Uniform elongation Engineering strain rate Post-uniform elongation b. Construct a table with the following headings, left-to-right: Extension, load, engineering strain, engineering stress, true strain, true stress. Fill in for the eight points on graph. What is the percentage difference between true and engineering strains for the first point? (i.e., % = What is the percentage difference between true and engineering strains for the last point? c. Plot the engineering and true stress-strain curves on a single graph using the same units. х 100) d. Calculate the work-hardening rate graphically and provide the in-in plot along with the value of n. How does n compare with the uniform elongation in Part a? Why? e. A second tensile test was carried out on an identical specimen of this material, this time using a crosshead speed of 3.3x102 inch/second. The load at an extension of 0.30 inch was 763.4 lb. What is the strain-rate sensitivity index, m, for this material? spunod 'proT
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