LIVERPOOL
1 Aim & Objectives
The aim of this lab is to develop an appreciation of the principles of mechanical testing, in particular
uniaxial tensile testing of metals and polymers, and how it is used to measure mechanical properties
of materials.
Upon successful completion of this lab, you will be able to:
Undertake tensile testing to measure mechanical properties associated with elastic and plastic
deformation;
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TT Lab Script // MATS105
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Describe and explain qualitative aspects of mechanical properties and mechanical testing
Record and present experimental data
Plot graphs, and extract values.
Improve technical reporting skills.
The technical objective of this lab is to determine the tensile deformation behaviour of two metal
samples and two polymer samples (steel, aluminium, polypropylene and Perspex acrylic) using an
Instron tensile tester, and compare the mechanical properties measured with "text-book" values./n2 Introduction
The uniaxial Tensile Test is a common, standard mechanical test, and is widely used in engineering.
The objective of the tensile test is to measure specific mechanical properties of structural materials
so that their strength, ductility, Young's modulus etc. may be compared. The mechanical properties
measured by this test are often required by engineering designers undertaking various stress
calculations, therefore the reliability and standardization of the measurement process is essential. In
this experiment you will test four common engineering materials using an industry standard "Instron"
testing machine:
.
.
UNIVERSITY OF
LIVERPOOL
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a steel,
an aluminium alloy,
polypropylene, and
Perspex acrylic. Note acrylic is a commonly used name for polymethyl pethacrylate (PMMA)
polymer. Perspex® acrylic is a tradename of Lucite International and is a premium acrylic.
There are British Standard (nowadays also European Standard, or "EN") procedures which specify the
precise procedure that must be adopted for tensile testing. One example is EN 10002-1 for metallic
materials which says it must be undertaken at an ambient temperature between 10 °C and 35 °C,
normally at a controlled temperature of 23 °C ±5 °C, and defines how the mechanical properties
should be determined. This standard defines the principle of the test as "straining a test piece in tension,
generally to fracture, for the purpose of determining one or more of the mechanical properties".
Definitions of some material mechanical properties have been (or will be) provided to you in your
lecture notes. You will also have the tensile test explained in detail at some point during lectures. But
resources are also provided in case you are undertaking the lab before this time.
In this TT experiment you will gradually strain (elongate) each sample incrementally, recording the
sample's elongation and applied load (force) required. You will then/nSome of these mechanical property measurements are shown in the schematic strass vs strain curve
in Figure 1.
Stress a
Yield stress
0.1% offset
strain
Modulus
of
Elasticity
0.1% proof
stress
E
Strain
Ultimate
Tensile
Strength
Ao
Ac
Failing
i Stress
Failing
Strain
Figure 1: Schematic of the stress vs strain curve showing various mechanical properties that can be
extracted using data obtained from tensile testing.
2.1 Apparatus
You will be using an Instron testing machine. The load (force applied) is accurately measured using a
load cell attached to one of the sample grips as you manually extend the samples, and displayed on
the PC in Newtons. When undertaking tensile testing in industry, the strain would normally be
measured very accurately using a strain gauge glued to the test sample surface
(https://en.wikipedia.org/wiki/Strain gauge), or a "clip-on" or "digital sensor arm" extensometer
attached to the sample being tested https://en.wikipedia.org/wiki/Extensometer. However in this lab
you will not have strain gauges or extensometers available, you so will be making a much more
inaccurate measurement of the strain by simply measuring the elongation of the whole test sample
(the increase in separation of the grips holding each end of the test sample) and dividing that by the
original gauge length of the test sample. This tends to result in measurements of strain greater than
the correct value due to various reasons (sample slippage in the grips, tensioning of the joints in the
system etc), particularly at the start of the test. A consequence can be that the values of Young's
modulus that you obtain from your stress vs. strain curves may be up to an order of magnitude too
low, whist your values of yield stress and ultimate tensile stress can be very accurate, and you will
investigate this as part of the practical./nTT Lab Script // MATS105
UNIVERSITY OF
LIVERPOOL
3
Health & Safety
You must always have a screen between you and the test samples during testing. It is possible that
the samples could fail suddenly, which can be associated with a loud noise and some fragments may
fly off. The apparatus also contains moving parts. You should carefully follow the instructions given by
the laboratory teaching assistants for loading the test samples, and follow the standard testing
procedure which will be explained to you. Students are reminded that they are required by law to
comply with the School's rules of lab safety.
4 Experimental Procedure
Each group will be given one specimen of each of the four samples: mild steel, an aluminium alloy, a
polypropylene, and Perspex acrylic. You should record by hand the readings of load and elongation in
the tables in your own lab script as the test proceeds. You will eventually have to photograph these
tables and upload them into your technical note, so ensure accurate recording and that your hand-
writing is clear.
For each specimen in turn:
Measure the starting width and thickness of the original gauge length region of the sample
be tested, using the micrometre or callipers provided. Determine the original cross-sectional
area (which you will need to convert applied load to engineering stress). Record these values
in Table 1a & 2a.
a.
b. Measure (approximately) the original gauge length of the test sample. This is the length of the
narrow central parallel region of the test sample over which most of the displacement/
elongation takes place. You will need this to convert measured elongation to engineering
strain. Record the value in Table 1a & 2a.
C. Remove any surface cover sheet from the Perspex acrylic samples.
d. Carefully mount the sample vertically and securely in the grips of the tensile testing machine,
following the instructions provided. If you don't tighten the grips sufficiently, your sample may
slip in the grips and you will have to repeat the test. Zero the load and displacement
measurements, and set the manual cross-head speed (rate of elongation) to its minimum
value. Make sure the screen is in place. Follow the instructions and guidance of the teaching
assistants at all times, and ask them if you are unsure about anything.
e. Using the manual jog control, elongate the sample in initial increments (steps) of about
0.1mm, increasing the increments gradually as per the elongation values given in Table 1b &
2b. Record in Table 1b & 2b the actual elongation (in mm) and the load (in N) on the specimen
after each elongation step, using the values displayed in the Bluehill software on the Instron's
PC screen. Record your data carefully and neatly in this lab script. (You will notice that the
ad record the valuo faicho/n4.
3.
Ultimate Tensile Strength the maximum engineering stress recorded.
1.
2.
UNIVERSITY OF
LIVERPOOL
Strain at failure a measure of the material's ductility. Note that strain is sometimes
expressed as a % rather than a fraction (a factor of 100 different!).
5 Technical Note Instructions
You will complete a Technical Note using the template provided in Canvas, and submit this in
Canvas for marking. The assessment of this practical is mainly an assessment of the quality of the
presentation of your results and their interpretation. The technical note contains the following
sections, each worth the percentages indicated:
TT Lab Script // MATS105
Abstract
Write a paragraph about what you did, why you did it, how you did it, the
results and what you concluded (roughly 250 words)
Results
Images of original data recorded by hand during the practical in the lab script.
Images of the excel spreadsheet, showing data from both metals and from
both polymers.
Image of two excel stress-strain graphs, each containing data from two
materials i.e. showing two stress-strain curves.
Completed tables with values obtained from the stress-strain graphs
Discussion
The quality of technical writing is important - good English without any
grammatical errors
Conclusions
Submission instructions:
10%
60%
20%
10%
Download the Technical Note Template from the Submission folder in the TT: Tensile Test section of
the Year 1 Labs Canvas site. Complete the Technical Note Template by following the instructions and
answering the questions. If you are having difficulty please contact the teaching assistants by email
for help./nRepeat for each of the four samples.
You have now completed the practical part of the experiment.
// MATS100
For the mild steel sample, transcribe your recorded elongation and load data into two adjacent
columns in an excel spreadsheet, and generate stress (in MPa) and strain values in two columns
immediately to the right. Hence you should have four columns of data for each sample. The top row
(row 1) should have merged cells across all four columns and state the name of the sample material
(e.g. "Mild steel"). The second row (row 2) will contain the column header i.e. "Elongation (mm)",
"Load (N)", "Stress (MPa)" and "Strain" respectively. The rows below these will be filled with
transcribed and calculated data. Add a border around all the cells in the four columns containing data
for the sample.
For the aluminium alloy sample data, leave a blank column to the right of the steel sample's data and
then repeat as for steel, entering the aluminium data into the next four columns to the right starting
again with the name of the material ("Aluminium alloy") in row 1. It is important to use this layout so
that you can produce a single image of all the data for both metals to upload into your technical note.
Open a new sheet in excel, and repeat the data entry for the polypropylene and Perspex acrylic sample
data.
In the sheet containing metal data, create a single stress v strain scatter graph (called scatter chart in
excel) showing both mild steel and aluminium alloy curves on a single graph. To create a single stress v
strain scatter graph showing both mild steel and aluminium alloy data on a single graph, you need to plot two sets of x and
y data on common axes. There are various ways to do this in excel, which will require you to re-arrange the data in your excel
spreadsheet slightly. If you search the internet using a search term like "excel plot two sets of x and y data on common axes"
you will find out how to do it. Repeat for the polypropylene and Perspex acrylic data in the other sheet.
Make sure the axes are correctly labelled and with easy-to-read axis values. Use a different data
marker shape for each material (one square and one circle is sensible) and make sure that a legend
clearly identifies the material corresponding to each set of data. Then manually add a straight line to
give a reasonable fit to the initial linear region of each stress-strain curve where elastic-only
deformation is taking place, and estimate Young's modulus from the gradient of this line (normally
expressed in GPa). Do not use excel's trend-lines for this just use your best judgement to fit a straight line (you may
need to ignore the first two or three data values). Ensure all the data points and labels are clearly visible as you
will have to paste images of these graphs into your technical note.
For each material, obtain the following mechanical properties from the stress-strain graphs:
Young's Modulus (Modulus of Elasticity)-the gradient of the linear initial region of the stress
strain graph.
Yield stress (Limit of Proportionality) - the stress at which there is a change from elastic
(linear) to plastic (non-linear) deformation. For mild steel you may also be able to see an
Upper and Lower Yield Stress, but they are not always clearly visible - if you can see it, use
the lower yield stress. Note that if the yield stress is not clear because of a very gradual
transition from linear to non-linear behaviour, it is customary to use the 0.1% Proof Stress to
define the transition to plastic deformation (see previous figure). However this is not
necessary in this practical.
Ultimate Tensile Strength - the maximum engineering stress recorded./nUNIVERSITY OF
LIVERPOOL
Table 2a: Initial Test Sample Measurements
Thickness of gauge length (mm)
Width of gauge length (mm)
Original Cross-section Area (mm²)
Length of gauge length (mm)
Table 2b: Elongation and load data during tensile test
Indicative
elongation
(mm)
0
0.1
0.2
0.3
0.4
0.6
0.8
1.0
1.2
1.4
1.6
Results tables for polypropylene and Perspex acrylic
1.8
2.0
2.2
2.4
2.6
2.8
3.0
3.5
4
4.5
5
POLYPROPYLENE
Actual
elongation
(mm)
0
Measured load
(N)
0
Polypropylene
PERSPEX ACRYLIC
Actual elongation
(mm)
0
O
013
016
TT Lab Script // MATS105
0,7
0,7
1/1
1,1
\/\
\r\
115
115
117
211
2,1
211
211
Perspex acrylic
2,5
1212
80
Measured
load (N) die
0
10
11,96
15,3
15,225
3814
164
267
394
550
636
753
869
976
1088
1190
1275/nTadic 19.1
Thickness of gauge length (mm)
Width of gauge length (mm)
Original Cross-section Area (mm²)
Length of gauge length (mm)
Indicative
elongation
(mm)
0
0.1
0.2
0.3
0.4
0.6
0.8
1.0
1.25
1.5
1.75
2.0
2.25
2.5
2.75
3.0
3.5
4
4.5
5
10
Table 1b: Elongation and load data during tensile test
15
20
imple ivice
25
30
35
40
45
50
ements
MILD STEEL
Actual
elongation
(mm)
0
Mild Steel
Measured load
(N)
0
0
0
O
O
O
Actual elongation
(mm)
O
O
0
013
0,3
03
113
115
118
2,2
21 2
215
2,6
26
4,0
7,9
Aluminium
1,4
ALUMINIUM
99.5
Measured
load (N)
0
11,6
25,5
158,0
314
722
1146
1532
1911
2144
2224
2268
2310
2337
2360
2364
2385
2365
2300
2355
2373
Fig: 1
Fig: 2
Fig: 3
Fig: 4
Fig: 5
Fig: 6
Fig: 7
Fig: 8