A cylindrical specimen of aluminum alloy having a diameter of 12.8 mm and a gauge length (lo) of 50.800 mm is pulled in tension. Use the load–elongation characteristics shown in the following table and answer the following questions. (10p) i- Convert the data as engineering stress (σ) versus engineering strain (ε). ii- Compute the modulus of elasticity (E) (with a precision of ±5000 MPa) iii- Determine the yield strength at a strain offset of 0.002 (σy) (with a precision of ±20 MPa) iv- Determine the tensile strength (TS) of this alloy.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter6: Introduction To Mechanical Properties
Section: Chapter Questions
Problem 6.2P
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A cylindrical specimen of aluminum alloy having a diameter of 12.8 mm and a gauge length (lo) of 50.800 mm is pulled in tension. Use the load–elongation characteristics shown in the following table and answer the following questions. (10p)

i- Convert the data as engineering stress (σ) versus engineering strain (ε). ii- Compute the modulus of elasticity (E) (with a precision of ±5000 MPa) iii- Determine the yield strength at a strain offset of 0.002 (σy) (with a precision of ±20 MPa) iv- Determine the tensile strength (TS) of this alloy.

A cylindrical specimen of aluminum alloy having a diameter of 12.8 mm and a gauge length (I.) of 50.800 mm
is pulled in tension. Use the load-elongation characteristics shown in the following table and answer the
following questions. (10p)
i- Convert the data as engineering stress (a) versus engineering strain (E).
ii- Compute the modulus of elasticity (E) (with a precision of 15000 MPa)
i- Determine the yield strength at a strain offset of 0.002 (oy) (with a precision of +20 MPa)
iv- Determine the tensile strength (TS) of this alloy.
Load
Length
(N)
(mm)
50.800
7330
50.851
15100
50.902
23100
50.952
30400
51.003
34400
51.054
38400
51.308
41300
51.816
44800
52.832
46200
53.848
47300
54.864
47500
55.880
46100
56.896
44800
57.658
42600
58.420
36400
59.182
Note: In order to make your calculations, you can use Excel or other suitable programs.
Transcribed Image Text:A cylindrical specimen of aluminum alloy having a diameter of 12.8 mm and a gauge length (I.) of 50.800 mm is pulled in tension. Use the load-elongation characteristics shown in the following table and answer the following questions. (10p) i- Convert the data as engineering stress (a) versus engineering strain (E). ii- Compute the modulus of elasticity (E) (with a precision of 15000 MPa) i- Determine the yield strength at a strain offset of 0.002 (oy) (with a precision of +20 MPa) iv- Determine the tensile strength (TS) of this alloy. Load Length (N) (mm) 50.800 7330 50.851 15100 50.902 23100 50.952 30400 51.003 34400 51.054 38400 51.308 41300 51.816 44800 52.832 46200 53.848 47300 54.864 47500 55.880 46100 56.896 44800 57.658 42600 58.420 36400 59.182 Note: In order to make your calculations, you can use Excel or other suitable programs.
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