A tensile test specimen of aluminum alloy having a diameter of 0.5 in. and a gage length of2 in. was tested to fracture. The complete stress-strain diagram for this specimen is shownbelow to the left. The small strain portion of this diagram has been enlarged (to the right)to show in more detail the linear portion of the stress-strain diagram. Determine (a)Young's modulus or modulus of elasticity (i.e., the slope of linear portion), (b) yield stress(using the so-called 0.2% offset method from the lecture notes), (c) yield strain (i.e., thestrain corresponding to yield stress, not the 0.2%!), (d) ultimate strength (i.e., the peak instress-strain diagram), (e) rupture stress (i.e., stress at breaking/failure), (f) rupture strain(i.e., the strain corresponding to rupture stress).80707060605050403030202010100.0050.010.0150.02Strain (in/in)Strain (in/in)Stress (ksi)0.015 -0.03 -0.12 -0.135 -0.15Stress (ksi)

Answered: A tensile test specimen of aluminum…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A tensile test specimen of aluminum alloy having a diameter of 0.5 in. and a gage length of
2 in. was tested to fracture. The complete stress-strain diagram for this specimen is shown
below to the left. The small strain portion of this diagram has been enlarged (to the right)
to show in more detail the linear portion of the stress-strain diagram. Determine (a)
Young's modulus or modulus of elasticity (i.e., the slope of linear portion), (b) yield stress
(using the so-called 0.2% offset method from the lecture notes), (c) yield strain (i.e., the
strain corresponding to yield stress, not the 0.2%!), (d) ultimate strength (i.e., the peak in
stress-strain diagram), (e) rupture stress (i.e., stress at breaking/failure), (f) rupture strain
(i.e., the strain corresponding to rupture stress).
80
70
70
60
60
50
50
40
30
30
20
20
10
10
0.005
0.01
0.015
0.02
Strain (in/in)
Strain (in/in)
Stress (ksi)
0.015 -
0.03 -
0.12 -
0.135 -
0.15
Stress (ksi)

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Given:-

The diameter of the test specimen = 0.5 in

The gage length = 2 in

The stress-strain diagram for the specimen is given

To determine:-

a) The modulus of elasticity

b) Yield stress (Using 0.2% offset method)

c) Yield strain

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