Lab 1 - Tensile Testing of Isotropic Materials
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Tensile Testing of Isotropic Materials
Lab 1
–
Aditya Kannan
Introduction
The objective of this lab report is to understand the utility and results of tensile testing a material. Using
an Instron tensile testing machine and a digital image correlation simultaneously, we obtained data to
observe the stress vs strain for a given piece test specimen made of 5052 aluminum alloy.
Part 1: Instron Tensile Tester
Discussion of relevant concepts
Engineering constants relevant to this experiment
An isotropic material is characterized by its mechanical properties being independent of direction,
meaning it exhibits the same behavior in all directions. The relevant constants for isotropic materials
include Young's Modulus (E, Pascals), Yield Point,
Shear Modulus (G), and Poisson's Ratio (ν). Young's
Modulus measures the material's stiffness in tension, while Shear Modulus quantifies its resistance to
shear deformation. Poisson's Ratio describes the material's tendency to contract laterally when
stretched longitudinally.
Stress-strain curve
Figure 1: A common stress/strain curve By Nicoguaro - Own work, CC BY 4.0,
https://commons.wikimedia.org/w/index.php?curid=89891144
The stress-strain curve typically exhibits several distinct regions:
•
Elastic Region
: In this initial phase, the material behaves elastically, meaning it returns to its
original shape when the load is removed. Young's Modulus (E) can be determined from the slope
of this linear region, reflecting the material's stiffness.
•
Yield Point
: Beyond the elastic region, the material enters the plastic deformation phase. The
yield point signifies the stress at which plastic deformation begins.
•
Ultimate Tensile Strength:
This is the point on the curve where the material reaches its
maximum stress before necking or localized thinning occurs. Ultimate Tensile Strength (UTS) is
the highest stress the material can endure under tension.
•
Fracture Point:
The curve terminates at the fracture point, indicating the stress at which the
specimen ruptures.
Experimental setup
First, the crossectional area of the sample was found by measuring the width and thickness using a pair
of calipers. Then, the 5052 aluminum alloy specimen, prepared in a dogbone shape, was securely
clamped into the testing machine. The data recording was started on the testing machine and a constant
tensile load was applied along the axis of the specimen at a controlled rate while the machine measured
the corresponding deformation via the crosshead displacement.
Part 2: Digital Image Correlation (DIC)
Discussion of relevant concepts
Digital Image Correlation (DIC) is a non-contact optical measurement used to analyze the deformation
and strain distribution on the surface of a specimen subjected to mechanical testing. DIC works by
tracking the displacement and deformation of small subsets or "speckles" on the specimen's surface.
These speckles serve as natural or applied markers that can be tracked between images taken before and
during deformation. While DIC is capable of tracking deformation on both axes, we are only using data in
the y-axis for this report.
Experimental setup
A camera was carefully positioned to capture images of the specimen's surface, and proper lighting and
focusing were ensured to obtain a clear video. The speckle pattern on the sample was pre-applied via a
spray by the lab assistant. To begin the experiment, we began recording via the software the camera was
configured with. Post-capture, the footage was used to analyze deformation. The software compared the
reference image with the pre-defined deformed images, tracking the displacement and deformation of
individual speckles. From the displacement data, strain fields across the specimen's surface were
computed, providing us with deformation data on a selected region of the sample.
Results
The crossectional area of the sample was measured to be
7.28 𝑚𝑚
2
or
7.28 ∗ 10
−6
𝑚
2
. The length of
the sample is
31.33 𝑚𝑚
or
3.13 ∗ 10
−2
𝑚
.
The data from the tensile testing machine was received in the form of crosshead displacement (
𝑚𝑚
) and
force (
𝑘??
). From the data obtained from the DIC, the y-axis displacement measurements were used.
Strain values were calculated by converting
𝑚𝑚
to
𝑚
and dividing by the length of the sample. Stress
values were calculated by converting
𝑘??
to
𝑁
and dividing by the crossectional area of the sample.
Since DIC does not yield stress measurements, the force data from the tensile testing machine was
extrapolated and correlated with the displacement data of the DIC to provide the graphs below.
The consolidated experimental data obtained from the testing machine and DIC is plotted in the graph
below.
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Related Questions
1. A tensile test was conducted on a metal "505" specimen and the following stress-strain curves
were generated, both curves generated from the same set of data. Use the graphs to fill in the
mechanical properties of the material tested in the box below. Don't forget units!
Stress vs Strain
Stress, psi
Stress, psi
80000
70000
60000
50000
40000
30000
20000
10000
0
0.00
80000
70000
60000
50000
40000
30000
20000
10000
0.02
0
0.000 0.002
0.04
0.004
0.06
0.006
0.08
0.10
Strain
Stress vs Strain
0.008
0.12
Elastic Modulus, E:
0.2% Offset Yield Strength, oo:
Tensile Strength, ou:
Breaking Strength, of:
% Elongation:
0.14
0.010 0.012 0.014
Strain
0.16
0.18
0.016 0.018
0.20
0.020
arrow_forward
Flag question
You have been given the following test sample data following mechanical testing of 15 test pieces of a modified Alumina.
What is the Weibull modulus of this material?
Would you advise the use of this material over one with a Weibull Modulus of 19.6 and a mean failure stress of 270 MPa, if you
anticipate that the peak stress on the material could be 255 MPa?
Sample
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Select one or more:
Failure Stress (MPa)
297
293
270
300
260
286
265
295
4
293
280
288
263
290
298
275
arrow_forward
Question 2
In designing prosthetic sockets, the latter will need to be experimentally tested for their
structural integrity. Figure 2 shows one such design of a prosthetic socket which is made of
carbon fibre composite. Strain gauges are installed to record the strains at various locations of
the legs during walking and the readings are recorded using a telemetry system to detemine
the critical stressed area. At a particular strain gauge location indicated in Figure 2, the
readings recorded by one of the 45° strain gauge rosettes are:
Ea = 2500 x 10*, es = 1500 x 10°, & = -950 x 10*
Using Mohr's Cicle or otherwise, detemine:
(a) the principal strains and the direction of the maximum principal strain relative to
the gauge "a".
(b) the corresponding principal stresses and sketch the results on a properly oriented
element.
You may assume that the prosthetic socket is made of polypropylene whose Young's
modulus of 1.0 GPa and Poisson ratio of 0.3.
Figure 2
arrow_forward
Select one or more:
a. 28.6
Ob. 22.8
O c. 3.7
Od. No
Oe. 4.9
Of. Yes
0
8
9
10
11
12
13
14
15
g.
18.5
295
293
280
288
263
290
298
275
arrow_forward
Yield strength, ultimate tensile strength, linear coefficient of thermal expansion, modulus of elasticity (E), proportional limit, and rupture strength are all
examples of mechanical properties of engineering materials.
O True
False
A non-destructive test is any examination of an object in any manner which will not impair the future usefulness of the object. Non-destructive tests include:
magnetic-particle, impacting testing, radiography, eddy current, and fluorescent-penetrant.
O True
O False
One way to make a metal stronger is to increase the metal's grain size.
O True
O False
--- OL T
A metal that has a crystalline structure is called amorphous.
O True
O False
arrow_forward
3. Two specimens with the same dimensions and made from two different materials, A and B, were subjected to tensile testing. The percentage
reduction in the area of the specimen made of material 'A' was calculated 3 times that of the specimen made of material B. In this case,
O A lthe ductility of material A and B is equal
O Bthe material A is brittle and material B is ductile
O Cthe material B is more ductile than material A
O D nhe material A is more ductile than material B
1.
20
O Aramak için buraya yazıin
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Question 1
You are working on a design team at a small orthopaedic firm. You have been asked to select a cobalt-
chrome-molybdenum (CoCr) material that will not experience plastic deformation under a specific mechanical test, as follows...
A tensile stress is applied along the long axis of a solid cylindrical rod that has a diameter of 10 mm. An applied load of some
magnitude F produces a 7x10-³ mm change in diameter (see figure below, original shape is blue, elongated shape is unshaded).
Q1E: Of those two materials (F75 CoCr alloy (as cast) and F90 CoCr alloy (hot forged)), which materials would you select to assure
that the deformation is entirely elastic (No yield!)?
arrow_forward
Question 1
You are working on a design team at a small orthopaedic firm. You have been asked to select a cobalt-
chrome-molybdenum (CoCr) material that will not experience plastic deformation under a specific mechanical test, as follows...
A tensile stress is applied along the long axis of a solid cylindrical rod that has a diameter of 10 mm. An applied load of some
magnitude F produces a 7x10-³ mm change in diameter (see figure below, original shape is blue, elongated shape is unshaded).
Q1G: If your design required using the new material to create a wire, what is the largest diameter that would lead to ductile
behavior while still avoiding plastic deformation when exposed to the above loading conditions?
arrow_forward
Answer Part b
arrow_forward
Consider the graph below for 3 test samples A, B and C of the same metal
composition which have been cold-worked, but to different extents. If you had to
sort the samples by the degree of cold-working they have undergone, how would
you rank them?
Stress (MPa)
600
500
4006
300
200
100
0
A
B
0.05
1
0.1
0.15
Strain
Select the correct answer:
a. A
arrow_forward
How did temperature affect the toughness of the specimens?
arrow_forward
Whats the answer to number 3 (a) and (b)
arrow_forward
MENG222 Strength of Materials
Please please I'm begging you help me in this problem
Need to include sample calculations, solved.
Tabulate/mention the given data and what is supposed to be obtained and how.
All thank and appreciation ?? ?
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Don’t use ai pls
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I want to solve the required squares and their units of measurement in regularity, please
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Name of a report STRENGTH OF MATERIALS LABORATORY COMPRESSION TEST Hi sir, I know your precious time will be taken, please get a report. I want you to explain to me one or two pages is enough for me, dear sir, by solving the last schedule, may God help you and grant you God bless you
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A sample of crosslinked polvisoprene rubber undergoes a constant strain rate axial tension experiment
The initial sample measurements are 3.60 cm gauge length (axial direction); 0.b2 cm wide; 0.1/ cm thick:
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1
The following data are obtained from a tensile test of a copper specimen.
- The load at the yield point is 159 kN.
- Length of the specimen is 22 mm.
- The yield strength is 80 kN/mm².
- The percentage of elongation is 40 %.
Determine the following
(i) Diameter of the specimen,
ii) Final length of the specimen,
iii) Stress under an elastic load of 15 kN,
iv) Young's Modulus if the elongation is 2.8 mm at 15 kN and
(v) Final diameter if the percentage of reduction in area is 20 %.
Solution
Initial Cross-sectional Area (in mm²)
The Diameter of the Specimen (in mm) -
น
Final Length of the Specimen (in mm).
30
Stress at the elastic load (in N/mm²)
4⁰
Young's Modulus of the Specimen (in N/mm²)
5
Final Area of the Specimen at Fracture (in mm²)
Final Diameter of the Specimen after Fracture (in mm)-
arrow_forward
please solve part b, this is past paper and just iam studying, mechanical engineering
arrow_forward
m2
arrow_forward
(d) Following experimental data (TableQ1b) has obtained from the
torsion test for the specimen dimension given in Table Q1a.
Determine the material of a circular bar. (Take the material
Poisson's Ratio as 0.32)
Table Q1a Specimen Dimensions
Dimensions
Material
Diameter (mm)
6
Length (mm)
77.15
TableQ1b Experimental Results from Torsion test
Angular Deflection
Degree
Radian
Torque/Nm
0.5
0.008727
0.06
1
0.017453
0.47
1.5
0.02618
0.76
2
0.034907
1.01
2.5
0.043633
1.32
3
0.05236
1.65
3.5
0.061087
1.99
4
0.069813
2.32
4.5
0.07854
2.66
5
0.087267
3.00
5.5
0.095993
3.33
6
0.10472
3.64
10
0.174533
5.92
20
0.349066
7.74
30
0.523599
8.07
40
0.698132
8.17
50
0.872665
7.93
60
1.047198
8.10
70
1.221731
8.2
80
1.396264
8.4
90
1.570797
8.24
100
1.74533
8.7
110
1.919863
8.7
120
2.094396
8.7
180
3.141594
9.02
240
4.188792
9.11
300
5.23599
9.48
360
6.283188
9.51
420
7.330386
9.71
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whats the answer to 2 and 3?
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Results:
material
iron
brass
aluminum
copper
NH
VINI
Discussion:
vickers hardnes test
Load(kg)
50
50
30
30
Diameter of
trace
d1 d2
0.58 0.65
0.68
0.74
0.94 0.86
0.72 0.76
d1+d2
2
VHN
Kg/mm²
1- Calculate the Vickers hardness number for the previous samples and
compare the results and discuss them according to the table.
2- Draw a graphic relationship between the diameter of the trace and the
hardness of Vickers.
3- What is the condition for using the Vickers hardness device?
arrow_forward
Test Specimen
4140 CF steel
6061 T6 Al
Gray Cast iron 40
FC Brass 360
Impact Energy (J or ft-lb)
48.5 ft-lb
25 ft-lb
12 ft-lb
27 ft-lb
Impact Strength (J/m
or ft-lb/in)
123.096 ft-lb/in
63.452 ft-lb/in
What is the final analysis/ overall observation from the data?
30.457 ft-lb/in
68.528 ft-lb/in
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strength that is normally distributed with mean 75 psi and standard deviation 8 psi, and synthetic fiber B has tensile strength that is 75 psi and standard deviation 12 psi.
Random sample of nA = 16 and nB = 9 of fiber specimens are selected. Find the probability that the sample mean of fiber specimen A exceeds the sample mean of fiber
specimen B by 4."
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Question 2
Figure 2 shows the dependence of fatigue strength on testing cycles (S-N curve) of an acetal
polymer.
60
50
40
30
20
10
104
105
106
107
108
Number of cycles to failure
Figure 2 The S-N fatigue curve for an acetal polymer
a. What is the fatigue strength, or maximum stress amplitude, at one million cycles of
loading?
b. An acetal polymer 30-cm-long bar with a diameter of 20 mm is designed to survive
one million cycles of loading, what is the maximum allowable axial load that can be
applied on one end of the bar?
Magnitude of stress
Reversal, MPa
arrow_forward
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- 1. A tensile test was conducted on a metal "505" specimen and the following stress-strain curves were generated, both curves generated from the same set of data. Use the graphs to fill in the mechanical properties of the material tested in the box below. Don't forget units! Stress vs Strain Stress, psi Stress, psi 80000 70000 60000 50000 40000 30000 20000 10000 0 0.00 80000 70000 60000 50000 40000 30000 20000 10000 0.02 0 0.000 0.002 0.04 0.004 0.06 0.006 0.08 0.10 Strain Stress vs Strain 0.008 0.12 Elastic Modulus, E: 0.2% Offset Yield Strength, oo: Tensile Strength, ou: Breaking Strength, of: % Elongation: 0.14 0.010 0.012 0.014 Strain 0.16 0.18 0.016 0.018 0.20 0.020arrow_forwardFlag question You have been given the following test sample data following mechanical testing of 15 test pieces of a modified Alumina. What is the Weibull modulus of this material? Would you advise the use of this material over one with a Weibull Modulus of 19.6 and a mean failure stress of 270 MPa, if you anticipate that the peak stress on the material could be 255 MPa? Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Select one or more: Failure Stress (MPa) 297 293 270 300 260 286 265 295 4 293 280 288 263 290 298 275arrow_forwardQuestion 2 In designing prosthetic sockets, the latter will need to be experimentally tested for their structural integrity. Figure 2 shows one such design of a prosthetic socket which is made of carbon fibre composite. Strain gauges are installed to record the strains at various locations of the legs during walking and the readings are recorded using a telemetry system to detemine the critical stressed area. At a particular strain gauge location indicated in Figure 2, the readings recorded by one of the 45° strain gauge rosettes are: Ea = 2500 x 10*, es = 1500 x 10°, & = -950 x 10* Using Mohr's Cicle or otherwise, detemine: (a) the principal strains and the direction of the maximum principal strain relative to the gauge "a". (b) the corresponding principal stresses and sketch the results on a properly oriented element. You may assume that the prosthetic socket is made of polypropylene whose Young's modulus of 1.0 GPa and Poisson ratio of 0.3. Figure 2arrow_forward
- Select one or more: a. 28.6 Ob. 22.8 O c. 3.7 Od. No Oe. 4.9 Of. Yes 0 8 9 10 11 12 13 14 15 g. 18.5 295 293 280 288 263 290 298 275arrow_forwardYield strength, ultimate tensile strength, linear coefficient of thermal expansion, modulus of elasticity (E), proportional limit, and rupture strength are all examples of mechanical properties of engineering materials. O True False A non-destructive test is any examination of an object in any manner which will not impair the future usefulness of the object. Non-destructive tests include: magnetic-particle, impacting testing, radiography, eddy current, and fluorescent-penetrant. O True O False One way to make a metal stronger is to increase the metal's grain size. O True O False --- OL T A metal that has a crystalline structure is called amorphous. O True O Falsearrow_forward3. Two specimens with the same dimensions and made from two different materials, A and B, were subjected to tensile testing. The percentage reduction in the area of the specimen made of material 'A' was calculated 3 times that of the specimen made of material B. In this case, O A lthe ductility of material A and B is equal O Bthe material A is brittle and material B is ductile O Cthe material B is more ductile than material A O D nhe material A is more ductile than material B 1. 20 O Aramak için buraya yazıinarrow_forward
- would you please describe this picture for me i have to present it to audience please to be more value?arrow_forwardQuestion 1 You are working on a design team at a small orthopaedic firm. You have been asked to select a cobalt- chrome-molybdenum (CoCr) material that will not experience plastic deformation under a specific mechanical test, as follows... A tensile stress is applied along the long axis of a solid cylindrical rod that has a diameter of 10 mm. An applied load of some magnitude F produces a 7x10-³ mm change in diameter (see figure below, original shape is blue, elongated shape is unshaded). Q1E: Of those two materials (F75 CoCr alloy (as cast) and F90 CoCr alloy (hot forged)), which materials would you select to assure that the deformation is entirely elastic (No yield!)?arrow_forwardQuestion 1 You are working on a design team at a small orthopaedic firm. You have been asked to select a cobalt- chrome-molybdenum (CoCr) material that will not experience plastic deformation under a specific mechanical test, as follows... A tensile stress is applied along the long axis of a solid cylindrical rod that has a diameter of 10 mm. An applied load of some magnitude F produces a 7x10-³ mm change in diameter (see figure below, original shape is blue, elongated shape is unshaded). Q1G: If your design required using the new material to create a wire, what is the largest diameter that would lead to ductile behavior while still avoiding plastic deformation when exposed to the above loading conditions?arrow_forward
- Answer Part barrow_forwardConsider the graph below for 3 test samples A, B and C of the same metal composition which have been cold-worked, but to different extents. If you had to sort the samples by the degree of cold-working they have undergone, how would you rank them? Stress (MPa) 600 500 4006 300 200 100 0 A B 0.05 1 0.1 0.15 Strain Select the correct answer: a. Aarrow_forwardHow did temperature affect the toughness of the specimens?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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