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 (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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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.
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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Step 1:The Given data:
VIEWStep 2:i) Convert the data as engineering stress (σ) versus engineering strain (ε):
VIEWStep 3:ii)Compute the modulus of elasticity (E) (with a precision of ±5000 MPa)
VIEWStep 4:iii)Determine the yield strength at a strain offset of 0.002 (σy)
VIEWStep 5:iv)Determine the tensile strength (TS) of this alloy
VIEW
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