Experiment 4 - Testing of Materials in Tension Object: The object of this experiment is to measure the tensile properties of two polymeric materials, steel and aluminum at a constant strain rate on the Tension testing machine. Background: For structural applications of materials such as bridges, pressure vessels, ships, and automobiles, the tensile properties of the metal material set the criteria for a safe design. Polymeric materials are being used more and more in structural applications, particularly in automobiles and pressure vessels. New applications emerge as designers become aware of the differences in the properties of metals and polymers and take full advantage of them. The analyses of structures using metals or plastics require that the data be available. Stress-Strain: The tensile properties of a material are obtained by pulling a specimen of known geometry apart at a fixed rate of straining until it breaks or stretches to the machines limit. It is useful to define the load per unit area (stress) as a parameter rather than load to avoid the confusion that would arise from the fact that the load and the change in length are dependent on the cross-sectional area and original length of the specimen. The stress, however, changes during the test for two reasons: the load increases and the cross-sectional area decreases as the specimen gets longer. Therefore, the stress can be calculated by two formulae which are distinguished as engineering stress and true stress, respectively. (1) = P/Ao= Engineering Stress (lbs/in 2 or psi) P = load (lbs) Ao= original cross-sectional area (in 2) (2) T= P/Ai = True Stress Ai = instantaneous cross-sectional area (in 2) Likewise, the elongation is normalized per unit length of specimen and is called strain. The strain may be based on the original length or the instantaneous length such that (3) =(lf - lo)/ lo = l / lo = Engineering Strain, where lf= final gage length (in) lo= original gage length (in) (4) T= ln ( li / lo ) = ln (1 +) = True Strain, where li = instantaneous gage length (in) ln = natural logarithm For a small elongation the engineering strain is very close to the true strain when l=1.2 lo, then = 0.2 and T= ln 1.2 = 0.182. The engineering stress is related to the true stress by (5) T= (1 + ) The true stress would be 20% higher in the case above where the specimen is 20% longer than the original length. As the relative elongation increases, the true strain will become significantly less than the engineering strain while the true stress becomes much greater than the engineering stress. When l= 4.0 lo then  = 3.0 but the true strain =ln 4.0 = 1.39. Therefore, the true strain is less than 1/2 of the engineering strain. The true stress (T) = (1+ 3.0) = 4, or the true stress is 4 times the engineering stress. Tensile Test Nom ...

1. Experiment 4 - Testing of Materials in Tension
Object: The object of this experiment is to measure the tensile
properties of two polymeric
materials, steel and aluminum at a constant strain rate on the
Tension testing machine.
Background: For structural applications of materials such as
bridges, pressure vessels, ships,
and automobiles, the tensile properties of the metal material set
the criteria for a safe design.
Polymeric materials are being used more and more in structural
applications, particularly in
automobiles and pressure vessels. New applications emerge as
designers become aware of
the differences in the properties of metals and polymers and
take full advantage of them. The
analyses of structures using metals or plastics require that the
data be available.
Stress-Strain: The tensile properties of a material are obtained
by pulling a specimen of

2. known geometry apart at a fixed rate of straining until it breaks
or stretches to the machines
limit. It is useful to define the load per unit area (stress) as a
parameter rather than load to
avoid the confusion that would arise from the fact that the load
and the change in length are
dependent on the cross-sectional area and original length of the
specimen. The stress,
however, changes during the test for two reasons: the load
increases and the cross-sectional
area decreases as the specimen gets longer.
Therefore, the stress can be calculated by two formulae which
are distinguished as
engineering stress and true stress, respectively.
2 or psi)
P = load (lbs)
Ao= original cross-sectional area (in
2)
Ai = instantaneous cross-sectional area (in
2)

3. Likewise, the elongation is normalized per unit length of
specimen and is called strain. The
strain may be based on the original length or the instantaneous
length such that
-
lf= final gage length (in)
lo= original gage length (in)
li = instantaneous gage length (in)
ln = natural logarithm
For a small elongation the engineering strain is very close to the
true strain when l=1.2 lo,
related to the true stress by
The true stress would be 20% higher in the case above where
the specimen is 20% longer
than the original length. As the relative elongation increases,

4. the true strain will become
significantly less than the engineering strain while the true
stress becomes much greater than
strain =ln 4.0 = 1.39.
Therefore, the true strain is less than 1/2 of the engineering
Tensile Test Nomenclature: The tensile test data are
characterized by terminology shown in
Figure 4-1.
The material test curves have a region where the deformation
caused by the stress is elastic,
or not permanent. This means when the stress is removed the
specimen returns to its original
length. At stresses greater than a certain value, a portion of the
strain becomes permanent or
plastic. The stress required to cause a 0.2% plastic strain, or
off-set, is called the yield stress.

5. Ductility is measured as % elongation, representing the ability
to deform in the plastic range
(6)
100%
0
0
l
ll
elongation
f

6. Equipment
United Tensile Testing Machine: floor-mounted (20,000 lb.
capacity)
Calipers, Ruler
Procedure
You will receive 4 specimens (high density polyethylene, low
density polyethylene, steel and
aluminum.
Using calipers measure (in the reduced area):
1) the thickness of the specimen to +.002 inches.
2) the width of the specimen to + 0.02 inch.
Make sure to record the specific metal alloy, original specimen
width, thickness, gage length;
and after fracture load and percent elongation (total strain).
Place the specimen as instructed and tighten the clamps
securely. The original crosshead
distance (gage length) will be measured with a ruler after the
sample has been placed firmly
in the grips. The gage length is the distance from the top of the

7. lower clamp to the bottom of
the upper one. Measure the gage length to + 0.1 inch.
MSE 227 LAB – Tensile Machine Operation
Click on DATUM shortcut on the Desktop (wait for program to
finish loading)
Click on Template for:
- testing rate will be 0.2
inch/minute
- testing rate will be 2.0
inch/minute
Click on SAMPLE INFORMATION tab:
Enter
(Make sure to ENTER the information, so that it calculates the
Area correctly)
The CONTROL SEGMENT tab shows the testing rate for the
given set up.

8. Tighten the grips on the sample; you can see the force you are
applying on the computer screen.
You want to be sure the grips are secure (hopefully with no
more than 5lb force preload).
Click on TEST when ready to begin testing.
Make sure to record test number, so you can find your data.
Click on REPORT to Export your file.
To retrieve data go to:
Glossary of Terms
Understanding the following terms will help in understanding
this experiment:
Ductility - The ability of a material to be permanently deformed
without breaking when a force is
applied.
Elastic deformation - Deformation of the material that is

9. recovered when the applied load is
removed. This temporary deformation is associated with the
stretching of atomic bonds.
% Elongation - The total percent increase in the length of a
specimen during a tensile test.
Engineering strain - Increase in sample length at a given load
divided by the original (stress-free)
length.
Engineering stress - The applied load, or force, divided by the
original cross-sectional area of the
material.
Engineering stress-strain curve - A plot of the Engineering
stress versus the Engineering strain.
Hooke's law - the linear relationship between stress and strain
in the elastic portion of the stress-
strain curve.
Modulus of elasticity - Young's modulus, or the slope of the
stress-strain curve in the elastic region.
Necking - Local deformation of a tensile specimen. Necking
begins at the tensile point.
Offset yield strength - yield strength obtained graphically that
describes the stress that gives no more
than a specified amount of plastic deformation.

10. Plastic deformation - Permanent deformation of the material
when a load is applied, then removed.
% Reduction in area - The total percent decrease in the cross-
sectional area of a specimen during the
tensile test.
Tensile strength - The maximum engineering stress experienced
by a material during a tensile test
(ultimate tensile strength).
Tensile test - Measures the response of a material to a slowly
applied uniaxial force. The yield
strength, tensile strength, modulus of elasticity, and ductility
are obtained.
True strain - The actual strain produced when a load is applied
to a material.
True stress - The load divided by the actual area at that load in
a tensile test.
Yield strength - The stress applied to a material that just causes
permanent plastic deformation.
Write Up
Prepare a memo report on the results of the tests. The report
should contain 4 Figures
(graphs) that contain an overlay of engineering and true stress-

11. strain curves from the
tensile tests for each material. All graphs should be graphed
using Excel. Label engineering
curves to show Young's Modulus, Yield Stress, Ultimate Tensile
Strength, and Total
Strain (also label values; for example, Young’s modulus =
41000 psi). Discuss these values
in your report and compare them with published values for the
same alloys. Discuss your
4 graphs, the errors involved in this experiment and their
sources.
References
McClinock, Mechanical Behavior of Materials
Dieter, Mechanical Metallurgy
Nielsen, Mechanical Properties of Polymers
MSE 227L Name ________________________
Testing of Materials in Tension
Poor Fair Average Good Excellent

12. Memorandum Format Used 1 2 3 4 5
Spelling, grammar & punctuation correct 1 2 3 4 5
Report includes: Poor Fair Average Good Excellent
Compare graphs for engineering stress-
engineering strain, and true stress-true strain
using data from tensile tests for each material
(4 graphs total; 2 curves overlaid per graph).
4 8 12 16 20
Label Engineering Curves only
Young's Modulus labeled neatly using Excel
(Include values on graph). Show calculations.
1 2 3 4 5
Yield Stress labeled neatly using Excel
(Include values on graph).
1 2 3 4 5
Total Strain labeled neatly using Excel
(Include values on graph).
1 2 3 4 5

13. Ultimate Tensile Strength labeled neatly
using Excel (Include values on graph).
1 2 3 4 5
elongation compared to published values.
Include table with compared values and
measured data.
2 4 6 8 10
Discussion of errors in this experiment and
their sources.
1 2 3 4 5
Poor Fair Average Good Excellent
Overall level of effort apparent 1 2 3 4 5
Quality of graphs 1 2 3 4 5
Quality of Abstract 1 2 3 4 5
Quality of work description 1 2 3 4 5
Quality of conclusions 1 2 3 4 5

14. Laboratory Experiment No. 4
Testing of Materials in Tension Aldousari 1
Abstract
Engineers are eager to design safe structural applications. In
order to achieve that goal, they need to know the tensile
properties for the material used. In this experiment, we have
studied the tensile properties of four samples of materials. We
have given steel, aluminum and two polymeric materials (the
high-density polyethylene and low-density polyethylene. The
samples have been tested on the Tension testing machine with a
constant strain rate. Before doing the test, the length, width and
thickness were measured. The machine provides all the data
needed on a screen. From the stress-strain graph we were able
to see the result of the yield strength, ultimate tensile strength,
total strain and the extension for each material.
Introduction
The Tension Testing Machine helps us as engineering to choose
the best material for a certain application. The term tensile
strength refers to the amount of tensile (stretching) stress a
material can withstand before breaking or failing. Some
structure projects need a certain tensile properties in order to be
safe. We are able to predict the reaction of the material by
running it on the tension-testing machine. However, Structural
engineering depends on the knowledge of materials and their
properties, in order to understand how different materials
support and resist loads. Basically, The machine we were using
was pulling the specimen from the top by a fixed rate of
straining and fixed the lower part. It keeps pulling the specimen

15. to the top until it breaks. In some cases, the material does not
break but it stretch due to its low tensile strength. Therefore. It
can be calculated both the stress and the strain. Moreover, The
true and engineering stress or strain can be both calculated. To
calculate the engineering stress,
(lbs/in2 or psi). The load p in lbs. is divided by the original
cross-sectional area in in2.
For the true stress, we divide the load p by the instantaneous
cross-sectional area. For the engineering strain, It can be
calculated by taking the change in the gage length and dividing
it by the original gage length. The true strain is calculated by
taking the natural logarithm of one plus the engineering strain).
We can calculate the elongation percentage by Then, by using
excel we can get the graphs and measure the, Young’s Modulus,
yield strength, elongation percentage, ultimate tensile strength,
and total strain.
Procedure
· The first step was measuring the width and thickness of all the
materials by using the digital calipers with a +.002 inches.
· Place one sample at a time and make sure it is tight between
the clamps of the tension-testing machine.
· Measure the gage length before and after the test with a +1
inch by a ruler.
· Start the test and the result will appear on the computer
screen.
· Transfer the data into an excel file and save it on a hard disc.
· Covert the force into a stress by dividing the force by the area.
· Graph the stress-strain curves
· Measure Young’s Modulus by using the equation m =
· Repeat the test four times.

16. Discussion of Results
The results have been concluded in four Tables that show the
different between the measured values and the published values.
There are also a four graphs that represent the stress- strain
curves both the true and engineering curve. The units of
engineering stress are KSI, which stands for a thousand pounds
per square inch and one thousand PSI. First, the steel has to be
strong material in some instance. In general, brittle material by
nature will show effectively no plastic deformation prior to
rupture and their elongation and reduction of area values will be
small value. We can notice from Table 1 that the steel has
almost the same values as the published except the total strain.
The Young’s Modulus is equal to m= .The total strain was not
close as the other because of some initial measurement errors.
The Figure 2 shows that there is a plastic and elastic region for
the steel.
Table 1: Measured Values versus Published Values
Steel
Measured Values
Published Values
Ultimate Tensile Strength (PSI)
66985
63800
Yield Strength (PSI)
55161
53700
Young’s Modulus (PSI)
2325821.23
29700000
Total Strain
0.2286
0.15

17. Figure 1: Steel Stress-Strain graph
For the Aluminum, the graph shows that it has the higher
ultimate tensile strength and the higher yield strength among the
other samples. From Figure 2, it takes more time to transfer
from the elastic region to the plastic region. The engineering
and true curves increase uniformly till they reach the yield
point. They keep the same stress on the plastic region. The
Young’s Modulus value is inaccurate due to the error when
taking the slope of the curve. The Young’s Modulus is equal to
m=
Table 2: Measured Values versus Published Values
Aluminum
Measured Values
Published Values
Ultimate Tensile Strength (PSI)
82891
68000
Yield Strength (PSI)
74273
47000
Young’s Modulus (PSI)
2487432
10600000
Total Strain
0.16894
0.19
Figure 2: Aluminum Stress-Strain Graph
The High Density Polyethylene results for this test shows that
this material has very low properties compared to others. The

18. true stress and engineering stress increased at same proportion
for the same strain. They both decreased again, but after that,
the engineering curve had the same stress value but the true had
not. The measured values are close enough to the published
values. Again, the Young’s Modulus value is off the published
value due to the same reason mentioned before. The Young’s
Modulus is equal to m= this material did not break or fail when
it was tested. The opposite, it stretched until we stopped the
machine manually. The reason behind that is the yield strength
value not high.
Table 3: Measured Values versus Published Values
High Density Polyethylene
Measured Values
Published Values
Ultimate Tensile Strength (PSI)
45981
4423
Yield Strength (PSI)
4301
4279
Young’s Modulus (PSI)
39456.256
87022 to 203000
Total Strain
0.9182
1.3
Figure 3: High Density Polyethylene Stress-Strain Graph
The Low Density Polyethylene values are very small compared
to the other materials. The true and engineering curves
increased uniformly for a very short period of time. Then the
true curve kept increasing where the engineering curve was on

19. the same stress value. Also, the measured values are not close to
the published values except the total strain. The Young’s
Modulus is equal to m=. This material has the ability to stretch
for a long distance. The percentage elongation is high.
Table 4: Measured Values versus Published Values
Low Density Polyethylene
Measured Values
Published Values
Ultimate Tensile Strength (PSI)
7.015
1310 to 2600
Yield Strength (PSI)
4.974
1100 to 1740
Young’s Modulus (PSI)
42100
Total Strain
6.90012
2.2 to 6.5
Figure 4: Low Density Polyethylene Stress-Strain Graph
Conclusion
The values of the width and thickness for the metals are smaller
then the polymers where the percentage elongation of the
polymers is higher then the metals. The high-density polymer
does not fail at high strain. It is obvious that our measurement

20. method produces data consistently much lower than the
published values. The published values maybe using pure
elements where the samples that we were given are not that
pure. Moreover, the published sample used different
measurement and that might affect the values. Despite, the
inaccurate values tested for tension test property, the stress-
strain curves from which they were generated still conform to
the expected profile and mechanics of metals.
References
Work Cited
· Lab Manual
· W.F. Hosford, Overview of Tensile Testing, Tensile Testing,
P. Han, Ed., ASM International, 1992, p 1–24
· Johnson, Mark. "2024 Alloy." 2024 Alloy. California Metal
and Supply, 10 May 2013. Web. 22 Sept. 2015.
Aluminum Stress Vs Strain Diagram
0.0 0.0 0.000882352948846186 0.00136029413517784
0.00200735295520109 0.00292647054747624

21. 0.00383088228237979 0.00465441166478045
0.0053897056290332 0.00602205886560328
0.00657352947575204 0.00711029395461082
0.00766176456475959 0.00811029389938887
0.00847794115543365 0.00883823534583344
0.00920588260187822 0.0095661762444412
0.00993382404832279 0.0103823533829521
0.01075000009116 0.011110293733723
0.0114779415376046 0.0119264708722339
0.0123823532725082 0.0128382356727824
0.0132941180730567 0.013750000473331
0.0142058828736053 0.0146544122082346
0.0151176465784802 0.0155661770087831
0.0160220583133838 0.0165735294713693
0.0170147057403536 0.0174779412062729
0.0178455879144809 0.0182941172491102
0.0187499996493844 0.0191985289840137
0.0195588237222503 0.0199191184604869
0.0202941171386663 0.0206544118769029
0.0210147066151395 0.0212867645656361
0.021742648061584 0.0220073518507621
0.0222867639625774 0.0225661760743927
0.0229264708126292 0.0231985287631259
0.0234632347436512 0.0237426468554665
0.0240073528359918 0.0242867649478071
0.0245514709283324 0.0248308786574532
0.025095589020673 0.0253676469711696
0.0256470590829849 0.0259191170334816
0.0261838230140069 0.026374996146735
0.0266470584799262 0.0269191186217701
0.0271911765722667 0.0274632345227634
0.027639705906896 0.0278308834223186
0.028007352615104 0.028191175969208
0.028374999323312 0.0285514707074446
0.0287352940615486 0.0289191174156525
0.0290955844170907 0.0292794077711947

22. 0.0294632355079931 0.0296397068921257
0.0298235302462297 0.0300073492176392
0.0301911725717432 0.0304632349049344
0.0306397019063725 0.030823529643171
0.0310000010273036 0.0311838243814076
0.0313602935741929 0.0315441169282969
0.0317279402824009 0.0319117636365049
0.0320882350206375 0.032272058 3747415
0.0324558817288455 0.0326323531129781
0.0329044110634748 0.0330955863875501
0.0332794119330013 0.033455883317134
0.0336397066712379 0.0338161758640233
0.0339926472481559 0.0341764706022599
0.0343529419863925 0.034536760957802
0.034720584311906 0.0349044098573572
0.0350882354028085 0.0353602933533051
0.0355441167074091 0.0357205880915417
0.0359044114456457 0.0360808784470839
0.0362647039925351 0.0364558815079577
0.0366323528920903 0.0368088220848757
0.0369926454389796 0.0371764687930836
0.0373602921471876 0.0375367657226675
0.0377205890767714 0.0379926448359209
0.0381764681900249 0.0383602915441289
0.0385367651196087 0.0387205884737127
0.0389044118278167 0.0390882351819207
0.039264704374706 0.03944852772881
0.0396249969215954 0.0398088246583939
0.0399926480124978 0.0401691172052832
0.0404411773471271 0.0406250007012311
0.0408088240553351 0.0409852932481205
0.0411764707635431 0.041360294117647
0.041544117471751 0.0417132325032178
0.0419044100186404 0.0420808792114258
0.0421691159991657 0.0423602935145883
0.0424411761410096 0.0426323536564322

23. 0.0427132362828535 0.0429852920420029
0.0430808829910615 0.0432573521838469
0.0434411755379508 0.0436249988920548
0.0437132356797947 0.0438970590338987
0.0440735282266841 0.0442647057421067
0.0444485290962107 0.0446249982889961
0.0447205892380546 0.0448897042695214
0.045080881784944 0.045264705139048
0.0454485284931519 0.0456249976859373
0.0458014712614172 0.0459926443941453
0.0461617638083065 0.0463455871624105
0.046448527890 0932 0.0465367646778331
0.0468088204369825 0.0468970572247225
0.0469852940124624 0.0470808805788264
0.0471691173665664 0.0472573497716118
0.0474411731257158 0.0476250008625143
0.0478088242166182 0.0478970566216637
0.0481691167635076 0.0482573535512475
0.0483529401176116 0.048529409310397
0.0486250002594555 0.048713232664501
0.0488088236135595 0.0489852928063449
0.0490735295940848 0.0492647027268129
0.0493455853532342 0.0494411763022928
0.0495294087073382 0.0496249996563967
0.0498014688491821 0.0498970554155462
0.0499852922032861 0.0501617613960715
0.0503455891328699 0.0504338215379154
0.0506102907307008 0.0507058816797593
0.0508014682461234 0.0508897050338633
0.0509852916002273 0.0510808825492859
0.0512647059033899 0.0513529383084353
0.0515367616625393 0.0516176442889606
0.0518014676430646 0.0519779412185444
0.0520735277849085 0.0521617645726484
0.0522499969776939 0.0523455879267524
0.0524338203317979 0.0526176436859019

24. 0.0527941172613817 0.0530735271818497
0.0531617639695897 0.0532500007573296
0.0534338241114336 0.053522056516479
0.053610293304219 0.053705879870583
0.053889703224687 0.0539926439523697
0.0540808807401096 0.054257349932895
0.054441173286999 0.0545294100747389
0.0547058792675243 0.0548970567829469
0.0549852935706868 0.0550735259757322
0.0552573537125307 0.0553529402788948
0.0554411770666347 0.0556176462594201
0.055801469613524 0.0559779388063094
0.0561617621604134 0.0563455855145174
0.0565294088686214 0.0567132322227254
0.0568897057982052 0.05707 35291523092
0.0572573525064132 0.0574338216991985
0.0576176450533025 0.0578014684074065
0.0580735285492504 0.0582499977420358
0.0584338210961398 0.0585294120451983
0.0587132353993023 0.0588897045920877
0.0589852911584517 0.0591617647339316
0.0594411746543996 0.0596249980085036
0.059801467201289 0.059985290555393
0.0601617641308728 0.0603455874849768
0.0605294108390808 0.0607058800318662
0.0608970575472888 0.0610735267400741
0.061250000315554 0.0614264695083394
0.061617647023762 0.0618897027829114
0.0620661763583912 0.0622499997124952
0.0625294096329633 0.0627941156134886
0.0631617623216966 0.0634338224635405
0.0637058826053844 0.0640588209909551
0.0645220586482216 0.0649779377614751
0.0656102904502083 0.0662499973002602
0.0670661733430974 0.0679705861736746
0.0686102930237265 0.0695147058543037

25. 0.0704191143021864 0.0710588211522383
0.0719705881441341 0.0728749965920168
0.0737867635839126 0.0746911764144897
0.0756029434063855 0.0765147016328924
0.0774264686247882 0.0784264680217294
0.0793308808523066 0.0802426478442024
0.0811544060707092 0.0820588189012864
0.0829705858931822 0.083882352885078
0.0847941198769738 0.0857058781034806
0.0866102909340578 0.087514703764635
0.0884264707565307 0.0893308835871079
0.0902426418136148 0.091242641210556
0.0921396998798146 0.0930514668717104
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0.14387112999997 0.14426585069053
0.144736761643546 0.145048456198802
0.14536640525455 0.145601629461612
0.145836798351259 0.146071911949501
0.146306970282333 0.146465765071951
0.146465765071951 0.1446729334564 16
0.151576404758952 0.246341255096847
0.434308634378204 0.627973984463319
0.826928543611646 1.027738268783819
1.233332690204694 1.450905555986339
1.658660007427801 1.860481898701814
2.072771576286466 2.311935367330602
2.525379856557796 2.717604447788794
2.924179495572964 3.14213175108275
3.362338864709252 3.595157223125074
3.856957341408079 4.068601882041253
4.258213185143795 4.457099373623172
4.686266997952333 4.90382023199801
5.122783892152303 5.330384744292322
5.543039780722227 5.757405458524856
5.961258815311892 6.184880030637103
6.39976997492269 6.614895178442826
6.896150086297957 7.115265880324463
7.353052143187304 7.54695628164153

38. 7.790517213513875 8.045661042748163
8.287204396004998 8.48629438981188
8.695318155133066 8.922072474484881
9.162645313456344 9.389288364519202
9.590121358025872 9.900160678638751
10.09690168808425 10.31261039945892
10.51799888362797 10.81461412113183
11.04659735024581 11.27217036432011
11.52137797718155 11.75303019501896
12.01479556815238 12.23870027825102
12.49581152142491 12.75564728682917
13.02678775061845 13.3114042096163
13.5772918457914 13.83921611918739
14.03988295250585 14.33018334241432
14.61323881924753 14.90538197742883
15.19952877746341 15.39121786152523
15.5998531238014 15.79969953265479
16.00374128513073 16.21927412036218
16.42303560152035 16.63501144278915
16.83748935122171 17.04671225006198
17.2774455009187 17.4921936032991
17.71832396673026 17.94156693597628
18.1806593219077 18.40282706011393 18.744507820319
18.98220428824223 19.21516631342353
19.44033573933805 19.68645987118163
19.91333357080172 20.16334010674453
20.39856960990023 20.64503126497976
20.88523715890514 21.14829035926509
21.39439372837018 21.63980717488517
22.02529365051451 22.29759141859268
22.56579793417573 22.82308306794469
23.1010913498594 23.3663075547969
23.62261509773347 23.89035260462584
24.1564582628733 24.43742254706205
24.73556689526908 25.02076939616191
25.30606958948696 25.72448494709646

39. 26.01749376133774 26.30233301506033
26.60829206215189 26.8911534074663
27.18611937027054 27.49694273140516
27.7741886439135 28.07642271035599
28.38269345522971 28.70432890036685
29.01050555827289 29.32592461860102
29.63449623832052 30.1021201 7772334
30.42186480848883 30.74701969838463
31.07362594681978 31.41147801746783
31.73229494019963 32.06569849892332
32.3784028549885 32.71609059607163
33.05116272566097 33.3968844508341
33.73211171406812 34.07876670749866
34.58422135872699 34.91610782407052
35.27497582611425 35.62652698506859
35.99402029153954 36.32981978657407
36.6854295411369 36.99968246487034
37.39425641957488 37.73526444577062
37.93834489854303 38.27444151985174
38.46921331412151 38.80047851017026
38.99909722040012 39.50421267295995
39.72730013793734 40.09788676426345
40.47357790077052 40.82746701884362
41.0314168352157 41.38800013378496
41.73438532828376 42.13069353020207
42.51586791465623 42.88582255932593
43.08667430612586 43.46184018923482
43.84777892542809 44.20248655113159
44.6103459243914 45.00202557284227
45.39665582549067 45.78986497980832
46.1486436065256 46.51572505343145
46.72760432975493 46.92315196592704
47.48834836364563 47.72267940050092
47.91996622826542 48.11731004799566
48.31812287540684 48.51393772714255
48.90192481040383 49.28406791943998

40. 49.67672263321989 49.87370726719438
50.48662308959226 50.69223562904886
50.90012956875616 51.28887711674671
51.48837956885411 51.69039183428917
51.89940909634815 52.27935378978731
52.47897940334853 52.9033183010022
53.10771182702428 53.32075542188238
53.51897677045082 53.72138901733527
54.10947842094124 54.31986955554103
54.53496043531923 54.930566635817
55.31030415119412 55.52682334264583
55.93159381875683 56.1435631423973
56.36976620434321 56.57952929276917
56.78309420744022 57.00247241456967
57.38951064833617 57.58997959136602
57.9961502420648 58.19409729261682
58.58121651273456 58.99047354517476
59.18940358696344 59.39143836206281
59.59981618993906 59.80264203394357
60.00382024114153 60.41049852648884
60.79477022605883 61.42252431550152
61.62523554113204 61.82355471858729 62.221993630257
62.42136108627533 62.62961886160591
62.83202156480171 63.23301131450345
63.45462973900968 63.6921660835768
64.03730030783362 64.4402846761926
64.65015041948701 65.0443351067147
65.44652638659624 65.64832887681509
65.85966522844613 66.2344331822693
66.43840847577917 66.63657789630001
67.03268455062087 67.42748970838148
67.81688733467256 68.20846653955405
68.5795676881579 68.95968015552029
69.3481634948102 69.7245570984288 70.104731638969
70.48471358575116 70.8598920727258
71.21758825165877 71.59509773905356

41. 72.13276013353629 72.51196837072793
72.87243835643295 73.0740942521203
73.42585415297209 73.76037039541536
73.96409716262795 74.30228220062514
74.80364059114388 75.15566035322868
75.49995837239217 75.85029813631478
76.16586205850288 76.49287072910973
76.78975858606411 77.10371457543479
77.39177872322568 77.6925565113925
77.96445053276375 78.26191688099498
78.54495305745878 78.91376105754331
79.14843431997309 79.40540531408953
79.74839665649843 80.02410239330436
80.40376659103927 80.65127739066766 80.868592634
07211 81.09822639305344 81.40991078016178
81.67300842004008 81.98441416105232 82.270782392691
82.58197292213028 82.88020310069415
83.12422184355502 83.40098387954107
83.60195254825835 83.85058911868786
84.0908896785374 84.2993416642384
84.54889477958235 84.77171295288156
84.99085265375834 85.20538761838961
85.44215775393458 85.6842806786925
85.88766774944262 86.06721605862921
86.29660431330983 86.50227805874957
86.68470438364075 86.86601775677525
87.08756733355453 87.27710163798368
87.45058013799847 87.63370307381022
87.8166127302445 87.99813805790095
88.15392870220187 88.40542832592172
88.53448947692334 88.66745308893997
88.89180208236466 89.08578399102366
89.19615178256093 89.42212653252838
89.55516594165094 89.72650854970831
89.89470052249838 90.05281766944617
90.19922082060547 90.37254547781978

42. 90.49762585299882 90.63870270535128
90.81648395197245 90.97933118190312
91.07997278052831 91.21612215086234
91.38044948666831 91.5202092304804
91.62846843662388 91.76646890343899
91.93244916316357 92.00591799330482
92.14809866278543 92.28721081594107
92.40615004407167 92.54669112835048
92.64517435472037 92.76970975764947
92.87998861126707 93.00075994827678
93.09089280729418 93.20734531323923
93.33160965745888 93.38352626494484
93.5534911728486 93.61287750596959
93.73541369213047 93.83122371277448
93.9224000562352 94.03623725141099
94.12516573596331 94.20834767883402
94.32538466927616 94.39527010621092
94.45937202383116 94.56426127210384
94.64737588813391 94.70001107543867
94.74262601046024 94.79365664904528
94.84301699750691 94.92577419963509
94.9856216215489 94.96978083421758
95.10651706278068 95.09032221156687
95.12091413432528 95.13733750897062
95.06460475042491 95.12701365503104
95.06166604969504 95.0015964472045
94.89481131630164 94.77901583072274
94.64053798335999 94.46806949596815
94.28982985683208 94.10571689730527
93.90999265955348 93.72839051072107
93.52129292596535 93.22399389940595
92.99037678866712 92.78426147677426
92.58839341509658 92.35630414117699
92.09145900427836 91.8876199397024
91.71490831746902 91.71490831746902
Strain

43. Stress PSI
HDPE Stress vs Strain
0.0 3.33333324912625E-5 0.0027666666234533
0.00491666669646899 0.00705000013113022
0.00916666661699613 0.0112333334982395
0.0133333330353101 0.0154166668653488
0.0175166664024194 0.0195166667302449
0.021566666662693 0.0236500004927317
0.0257000004251798 0.0298000002900759
0.0318666671713193 0.033950001001358
0.0360000009338061 0.0380333339174588
0.0401000007987022 0.0421666651964188
0.0442166676123937 0.0462999989589055
0.0483166674772898 0.0503833343585332
0.0524666657050451 0.0545166581869125
0.0586166580518087 0.060699999332428
0.0627500017484029 0.0647833247979482
0.0668499916791916 0.0689500023921331
0.0709999998410543 0.0730166683594386
0.075083335240682 0.0771666665871938
0.0791999995708465 0.0812500019868215
0.0833166688680649 0.0874333282311757
0.0894833306471507 0.0915666619936625
0.0936333338419596 0.0956666668256124
0.0977166593074798 0.099783331155777
0.101849993069967 0.103883326053619
0.105949997901916 0.108016659816106
0.110083331664403 0.114183326562246
0.116249998410543 0.118316660324732
0.120366662740707 0.122433334589005
0.124466667572657 0.126533329486847
0.128600001335144 0.130649993817011
0.132716665665309 0.134783327579498

44. 0.136849999427795 0.138866662979126
0.143016666173935 0.147099991639455
0.149166663487752 0.151249994834264
0.153316666682561 0.155349999666214
0.157416661580404 0.159499992926915
0.161516666412353 0.163583328326543
0.16565000017484 0.169766664505005
0.173883338769277 0.177983323733012
0.180033326148987 0.184166669845581
0.188283324241638 0.19239999850591
0.198566655317942 0.202683329582214
0.206800003846486 0.210916658242544
0.219166656335195 0.227416654427846
0.237683335940043 0.247949997584025
0.254133323828379 0.264416654904683
0.27471665541331 0.287083327770233
0.297366658846537 0.305583318074544
0.315849999586741 0.324116667111715
0.334433317184448 0.338533322016398
0.348849972089132 0.357083320617676
0.36121666431427 0.369449973106384
0.373600006103516 0.383900006612142
0.392150004704793 0.396299997965495
0.404549996058146 0.408650000890096
0.412799994150798 0.416899998982747
0.425149997075399 0.429283340771993
0.433383305867513 0.439583341280619
0.443683306376139 0.447800000508626
0.451916654904683 0.456049998601278
0.460150003433228 0.464283307393392
0.468383312225342 0.472533305486043
0.474566658337911 0.478700002034505
0.482800006866455 0.488983313242594
0.49316664536794 0.495216647783915
0.499316652615865 0.501416643460592
0.505499998728434 0.509649991989136

45. 0.511683305104574 0.517866651217143
0.519933303197225 0.524033308029175
0.528183301289876 0.530233303705851
0.532283306121826 0.536433339118958
0.53849999109904 0.544666647911072
0.548799991607666 0.550849994023641
0.552916646003723 0.554983337720235
0.559099992116292 0.563233335812887
0.565266648928324 0.567333300908407
0.571483333905538 0.575583299001058
0.57764999071757 0.581783334414164
0.583833336830139 0.587999979654948
0.592099984486898 0.596233328183492
0.600333333015442 0.604466636975606
0.608616669972738 0.612716635 068258
0.61478332678477 0.618899981180827
0.620983322461446 0.625099976857503
0.62921663125356 0.631266633669535
0.635383327802022 0.637466669082642
0.641566634178162 0.6457333167394
0.647783319155375 0.651899973551432
0.656016667683919 0.660133322079976
0.664266665776571 0.666316668192545
0.670466661453247 0.672533353169759
0.67454997698466 0.678716659545898
0.680733283360799 0.684883276621501
0.686949968338013 0.688999970753988
0.693133354187012 0.695199966430664
0.697266658147176 0.699316660563151
0.703433354695638 0.705516656239827
0.707583347956339 0.709633350372314
0.713766654332479 0.715799967447917
0.719933350880941 0.721983353296916
0.724033276240031 0.726099967956543
0.730233351389567 0.732316652933756
0.734349966049194 0.736433347066243

46. 0.738499959309896 0.740566651026408
0.744666655858358 0.748799959818522
0.752916653951009 0.757016658782959
0.76116665204366 0.76526665687561
0.769416650136312 0.773533344268799
0.777649958928426 0.7858833471934
0.790033340454101 0.796199957529704
0.802366654078166 0.812716643015544
0.823033332824707 0.833299954732259
0.84363333384196 0.8539666334788
0.86424994468689 0.874566634496053
0.884866635004679 0.897250016530355
0.907566626866659 0.917849938074748
0.928166627883911 0.938483317693075
0.948766628901164 0.959100008010864
0.969383319218953 0.979700009028117
0.99001661936442 1.000316619873047
1.012683312098185 1.022950013478597
1.033233324686686 1.043516635894775
1.053816636403402 1.064116636912028
1.074399948120117 1.08466664950053
1.094983339309692 1.105266650517781
1.115566651026408 1.12791665395101
1.138183275858561 1.148499965667725
1.158766667048136 1.169049978256226
1.179349978764852 1.189649979273478
1.199933290481567 1.212266604105632
1.222566604614258 1.232883294423421
1.243149995803833 1.253433307011922
1.263716618220011 1.273999929428101
1.284316619237264 1.294599930445353
1.304883321126302 1.315199931462606
1.325466632843018 1.335749944051107
1.34606663386027 1.356383323669434
1.366666634877523 1.376933256785075
1.387233257293701 1.397533257802327

47. 1.407833258310954 1.418116569519043
1.428416570027669 1.440783341725667
1.451083342234294 1.461366653442383
1.471649964650472 1.481933275858561
1.492249965667725 1.502516587575277
1.512816588083903 1.523116588592529
1.533433278401693 1.543733278910319
1.554016590118408 1.564299901326497
1.574616591135661 1.584866682688395
1.595183372497559 1.605483214060465
1.615783214569092 1.626083215077718
1.636349995930989 1.646616617838542
1.656949996948242 1.669283231099446
1.679583231608073 1.689883232116699
1.700166702270508 1.710466702779134
1.720750013987223 1.731033325195312
1.741366545359294 1.751650015513102
1.761916637420654 1.772199948628743
1.782516638437907 1.79283332824707
1.803116639455159 1.813349882761637
1.823666572570801 1.833983262379964
1.844233353932698 1.854549884796143
1.864866574605306 1.875149885813395 1.8854498
86322021 1.897799968719482 1.908116658528646
1.918366591135661 1.928666591644287
1.93898328145345 1.94926659266154
1.959583282470703 1.969866593678792
1.980133215586344 1.990483283996582
2.000783284505208 2.011083285013834
2.021366596221924 2.031733353932699
2.042016665140788 2.052299976348877
2.062633355458578 2.074983278910318
2.085283279418945 2.095599969228109
2.105916659037272 2.116233348846435
2.126533349355062 2.136849880218506
2.147133350372314 2.159549872080485

48. 2.169833342234293 2.180116653442382
2.190433343251546 2.20074987411499
2.211049874623617 2.221383253733316
2.231666564941406 2.241999944051107
2.252299944559733 2.262566566467285
2.274949868520101 2.285249869028727
2.295549869537353 2.305866559346517
2.316149870554606 2.326483249664307
2.33679993947347 2.34708325068156
2.359466552734375 2.369749863942464
2.380066553751627 2.390349864959717
2.400649865468343 2.410966555277506
2.42128324508667 2.431566556294759
2.441883246103922 2.452183246612549
2.462499936421712 2.472799936930338
2.483099937438965 2.493433316548665
2.505783240000406 2.516083240509033
2.526399930318197 2.536683241526286
2.546999931335449 2.557283242543538
2.567599932352702 2.577916622161865
2.588233311971029 2.598499933878581
2.608833312988281 2.619133313496908
2.629433314005534 2.639750003814697
2.649999936421712 2.660316626230875
2.670633316040039 2.682933171590169
2.693233172098795 2.701483408610026
2.71179993947347 2.722083409627279
2.730316480000814 2.742633183797201
2.752933184305827 2.761183420817057
2.771499951680501 2.779699961344401
2.790016492207845 2.798216501871745
2.806449890136719 2.816716512044271
2.822933197021484 2.833183288574219
2.839399973551432 2.845583279927572
2.851733207702636 2.857899983723958
2.862033208211263 2.868183135986328

49. 2.878483136494955 2.884666442871094
2.888766606648763 2.89496644337972
2.901133219401041 2.909350077311198
2.915533383687337 2.921733220418294
2.925816535949707 2.929950078328451
2.938183148701986 2.942299842834472
2.948466618855794 2.954633394877116
2.95876661936442 2.964933395385742
2.969033241271972 2.975233395894369
2.981416702270508 2.987616539001465
2.995833396911621 3.004116694132487
3.008183161417643 3.01438331604004
3.022599856058756 3.026783307393392
3.032949765523275 3.037049929300944
3.041183153788249 3.051483154296875
3.057699839274088 3.063883145650228
3.067999839782715 3.074216524759928
3.08448314666748 3.09066645304362
3.09689998626709 3.100966453552246
3.105133374532064 3.105133374532064
0.0883783606536421 0.0985095356611049
0.28625964749036 0.470776409166094
0.661975427825771 0.832912074084327
1.002771004116962 1.145685192833556
1.267690495821694 1.3819356688966
1.493163093267277 1.588223744484156
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1.332370370590895 1.334531614944392
1.336696967389215 1.339390501171122
1.341017980593905 1.343695603823949
1.345316097502608 1.346925289743241
1.348523230816226 1.350122989762829
1.351193782677604 1.352784922898971
1.355444132994243 1.35703712244279
1.358092039654217 1.359685063978724
1.361267080005772 1.363371139544571
1.364951561206818 1.366533704149609
1.367574364235035 1.368626723085083
1.370719487185744 1.371764269469109 1.373327
305786748 1.37488790283403 1.375932516996266

62. 1.377489056808455 1.378522548991851
1.38008346233085 1.381637711303621
1.383193693765761 1.385252167452593
1.387323005417018 1.388338061694896
1.389883740593096 1.391928423953846
1.392967870486917 1.394498059955306
1.395514209716279 1.39653750894656
1.399083025017089 1.400616271017336
1.402138956331842 1.403151438801533
1.404678464345166 1.40719519562344
1.408707903734727 1.410230586811336
1.411222666311175 1.412238233127386
1.412238233127386 0.0883783606536421
0.0985128193122106 0.287051632502713
0.473091059858524 0.666642354678747
0.840547101388729 1.014035465228573
1.16096099506323 1.287234057884146
1.406142574998266 1.522304659732477
1.62247643656722 1.718018810622534
1.801054297394355 1.952984823351398
2.016736883513393 2.078087565362865
2.131114333839224 2.184299207958568
2.234385021812748 2.275666748676372
2.326511266433305 2.373553962196664
2.414284283082158 2.465685816670766
2.519352614824077 2.569948805086857
2.679889145657805 2.732720447372293
2.78633845103495 2.841475618790365
2.894363891401943 2.947297154878
3.010203154865242 3.06166793628272
3.122719505428383 3.179852618851317
3.234241907945942 3.29515716498461
3.349326402337736 3.45933179088824
3.519162974127183 3.571304294825096
3.625449484662476 3.676591697791574
3.729138758220962 3.782624377112625

63. 3.832247222704676 3.884053768793385
3.938765743143387 3.983146701063851
4.030536530934386 4.122757740867901
4.165294215321197 4.212057948993956
4.255762982846978 4.301841363704617
4.34429548691223 4.38724766191218
4.43008522612755 4.470546263815891
4.510215118895401 4.553912631498783
4.588182078599468 4.623570832540054
4.699550975747453 4.771480557565308
4.804352468339018 4.839615414072757
4.868688633147428 4.899686550602502
4.93240192383789 4.969773251636637
4.996193159756246 5.027656778715857
5.052918333424349 5.100769978013424
5.155916783870224 5.200840809552503
5.226424968191353 5.27178915290806
5.312400174702334 5.355736785064191
5.405653199738836 5.44158955711129
5.477644392359646 5.514601785525034
5.570568455595227 5.627578069258782
5.68638909331515 5.737323938657437
5.77007654488127 5.810847529636301
5.857908121262005 5.896982074064932
5.925919566269887 5.946002096061914
5.979995028877202 6.000153133342674
6.033383124895265 6.029703502800073
6.055242993414116 6.072312246634254
6.071440676873934 6.086910011410467
6.084629746553918 6.103109472652518
6.113685058636822 6.111744366913078
6.118790459021303 6.117521769451264
6.115445244979046 6.113644991702761
6.115450237566321 6.10515043242712
6.10381613056612 6.100117572986681
6.096329155336015 6.086249928682782

64. 6.079143476415165 6.075735176847384
6.064515964129303 6.049804344478025
6.038256599800818 6.027707430431465
6.014734912597923 6.012150633974223
5.993022835865471 5.966339156259093
5.952202429705795 5.940069296381207
5.920160422121974 5.90547375290 904
5.883890430641021 5.869520336404738
5.849402396727728 5.8222879711321
5.798434925822799 5.774654006262145
5.750190615204723 5.734484623452297
5.718715882618358 5.691150284627992
5.671279506744613 5.637740118159599
5.61443305030048 5.59879795865708
5.578809862284745 5.563106523786085
5.541201906254093 5.514108947780705
5.497662876525959 5.478906916910012
5.452764605560772 5.429971667170818
5.410908290515887 5.396784768998708
5.381246041429316 5.350560519896679
5.32731110307468 5.305701356269558
5.284488134317268 5.257671390328526
5.232088556596877 5.207183989951114
5.191928218008703 5.171314596540464
5.156306057348872 5.122110191359236
5.104883080957991 5.085637005306725
5.057931921084084 5.042138499317393
5.011239573342654 4.986710249318197
4.970545025692416 4.945930811112757
4.913992980461606 4.875035425135785
4.850939739377694 4.828898448746542
4.78907365615918 4.770122132884968
4.751328153668697 4.71683300117323
4.698587698335058 4.656074295537359
4.639603879329503 4.605193633280852
4.56828794417997 4.546457708506862

65. 4.525293413267862 4.494861643911638
4.45618035033311 4.435160509373051
4.408143770799638 4.386902225247036
4.352809051886975 4.33356300779368
4.293581550910702 4.265292531607374
4.242869498056314 4.212981083441706
4.174211407471489 4.156458971534948
4.132551164464476 4.114683437088161
4.095221647415141 4.07645305848053
4.039421978053721 4.012049264029592
3.985597764934896 3.957803495389752
3.933744098516896 3.913602257990068
3.883136211733533 3.867320910445606
3.843343562908105 3.822648698340311
3.80722269891741 3.789363847975425
3.774400902562976 3.766378543361904
3.761878015490883 3.7704177027716
3.774183865265662 3.779352227465147
3.788259356978597 3.797504964239077
3.824871815517219 3.838958738177938
3.854076982873833 3.874440009006672
3.892372508571566 3.912781080806638
3.925976176915208 3.95566194933581
3.959020367107162 3.991708320931452
4.015941597549229 4.036727454358094
4.064721143069968 4.085891127257642
4.115864809289811 4.133597950229935
4.153547316821419 4.178381755298544
4.19651521715343 4.223575961198592
4.244929507627168 4.274841814480217
4.297580731899258 4.322668636637174
4.346750496997077 4.361240037086182
4.398832337187804 4.428669787849857
4.444062784725554 4.467426145185909
4.494571321722504 4.530736719430001
4.559975852458639 4.591249828606504

66. 4.608975265118157 4.628161501308262
4.653673425584575 4.683146250391997
4.712271157762194 4.729527464506908
4.758672460482572 4.782467412724163
4.807685314449053 4.808302416120655
4.848251263491946 4.865507689529289
4.89796387698801 4.92433567319821
4.951849165830867 4.980966408809146
4.99925122729087 5.029984131313182
5.06868337190649 5.099230638986302
5.135015045610489 5.159742057775555
5.182897273208765 5.223720421660272
5.260476354358315 5.292395765751574
5.328802784964395 5.344663248504151
5.388360353822688 5.403139343375241 5.451408
2596483 5.465618780799903 5.483167787506486
5.525613694825804 5.539835616226907
5.549466320557362 5.574224137491906
5.588814081081226 5.598729899979299
5.606270686893891 5.639613888486877
5.651983116759078 5.666283736247618
5.685745211382053 5.689437920127971
5.708803939226347 5.751576094832945
5.774492428461333 5.795158764460207
5.808000819130604 5.830266460530038
5.848985248941007 5.881549229978934
5.88710121321995 5.914215489162035
5.924890587665121 5.949052340997563
5.961013952771522 6.006485008855205
6.022733019960412 6.051911171243407
6.066196371923058 6.104722034951838
6.104615725567164 6.132617766474024
6.156120044190791 6.1948927984535
6.213547763481204 6.230838622002256
6.255185990267032 6.274999549116862
6.29412250179167 6.321783361135005

67. 6.347438391224979 6.357542646480864
6.35906474340935 6.381536810405421
6.378921005929504 6.403115975454418
6.431394915389468 6.443409781845955
6.462332766398226 6.465924655936977
6.47475301925182 6.501633518711656
6.517731628318383 6.501373098545264
6.522686415653384 6.554550424107499
6.55060188177998 6.58076417144352
6.592484768553612 6.606212670179
6.622626509541295 6.63143968883581
6.641462877570632 6.657807006541664
6.683866950521897 6.700042850214204
6.729709107008553 6.761497354931376
6.770619533067755 6.781838327269399
6.819375274044744 6.829868916610492
6.854647210744855 6.872164426934819
6.884554927563833 6.88456380263182
6.911470071862884 6.922265585258118
6.915440270196294 6.931273355376883
6.94633759808838 6.962777787975093
6.976291685115088 6.991959197757731
6.98374634243235 6.987303249667687
7.01478442195609 7.030324321356447
7.042330748917069 7.066053111161481
7.063221213710759 7.077719380270438
7.084603184998033 7.10360913192527
7.088067033724775 7.107791991013815
7.108176848591902 7.114552611033475
7.13109315559575 7.144424668358339
7.156151680857594 7.13647981783931
7.155790549306129 7.176016322654746
7.149559472167833 7.129852937183662
7.125910347246199 7.085178913469048
7.059320122557722 7.027530023831888
6.98678712515526 6.937248701667147

68. 6.90942043723802 6.869478502831982
6.854988655311224 6.813675852685868
6.77263491232109 6.73325198895011 6.6
7236078503163 6.642639725019725
6.584238691546354 6.530833185235048
6.48100927502604 6.425960767862446
6.377287908274653 6.318475633794006
6.266138023965481 6.207743796080583
6.138997926081202 6.083470372856715
6.033728505922878 5.979539853256091
5.925937633353309 5.847409492240771
5.79166841732472 5.74927230241687
5.701945149539805 5.649497126830719
5.590024831186674 5.533833729458197
5.480358171654442 5.421574027980031
5.356413249562281 5.302366546686243
5.247104724792779 5.189321457227167
5.140750108198721 5.081709598137892
4.993989659515614 4.906810315964275
4.855633872316405 4.806033156330925
4.727425823207245 4.676790282532108
4.613536195805048 4.565143715464126
4.492289447958932 4.412913488028422 4.3549590569525
98 4.289763756319342 4.238865450152636
4.173328653028828 4.077311802081382
4.006770129899841 3.943993098293318
3.884260464059053 3.851041675884972
3.851041675884972
Strain
Stress PSI
LDPE Stress vs Strain Diagram
0.275900003314018 0.27599999755621 0.277899999916553
0.280975003540516 0.284100000560284

69. 0.287200000882149 0.293350000679493
0.296474997699261 0.299574998021126
0.302674998342991 0.305774998664856
0.308849987387657 0.3119249984622
0.315050002932548 0.318150003254414
0.321200002729893 0.324274998903274
0.327399995923042 0.333574992418289
0.339799997210503 0.342875000834465
0.345899996161461 0.349024993181229
0.35217499434948 0.355249997973442
0.358274993300438 0.361375001072884
0.364549991488457 0.367599990963936
0.37059999704361 0.373799991607666
0.379974988102913 0.38299999833107
0.386174988746643 0.389249992370605
0.392299991846084 0.395374995470047
0.398524996638298 0.401624989509582
0.404699993133545 0.410924997925758
0.414000001549721 0.42325000166893
0.426374998688698 0.432499986886978
0.435599994659424 0.441799 995303154
0.444874998927116 0.451049995422363
0.457249981164932 0.466525000333786
0.469574999809265 0.472675007581711
0.475774985551834 0.478849989175796
0.485025000572205 0.494324994087219
0.500475001335144 0.509724986553192
0.515925002098083 0.518975001573563
0.528274995088577 0.537549984455109
0.549875003099441 0.559149992465973
0.568399977684021 0.571499985456467
0.58384997844696 0.586924982070923
0.599274975061417 0.602399986982345
0.614774984121322 0.627100002765655
0.642499995231628 0.654874992370605
0.657924991846084 0.661049973964691

70. 0.670249980688095 0.688849997520447
0.70427496433258 0.728975009918213
0.732050013542175 0.738199961185455
0.756774973869324 0.79375 0.806149971485138
0.818474960327148 0.824650001525879
0.861674976348877 0.87407500743866
0.880249989032745 0.907974970340729
0.926549983024597 0.92964996099472
0.938900005817413 0.957449984550476
0.960499954223633 0.997549962997436
1.000650000572205 1.037724983692169
1.040824961662293 1.074774992465973
1.08097494840622 1.11807496547699
1.155099999904633 1.195199978351593
1.229250025749207 1.266275000572205
1.284774971008301 1.306400012969971
1.309475016593933 1.312574934959412
1.331124973297119 1.35275001525879
1.389849972724915 1.426874947547913
1.429974985122681 1.433024954795838
1.470099997520447 1.507199954986572
1.519525003433228 1.556599926948548
1.568974924087525 1.606099915504456
1.643174958229065 1.680224967002869
1.717274975776672 1.757474970817566
1.797625017166138 1.834750008583069
1.871800017356873 1.908849906921387
1.939749908447266 1.942849946022034
1.948999953269959 1.986149978637695
1.995424938201904 1.998524975776672
2.035599899291992 2.044900012016296
2.075824928283692 2.112925004959107
2.150024962425232 2.187174987792968
2.218100023269653 2.23042483329773
2.242824983596802 2.252099943161011
2.258300018310547 2.267600011825562

71. 2.27069993019104 2.289200019836426
2.292299938201904 2.298500013351441
2.335599851608276 2.372775030136109
2.394399833679199 2.397525024414063
2.434599828720093 2.456224870681763
2.462449979782105 2.49955005645752
2.511949968338013 2.533575010299683
2.54594988822937 2.561424922943115
2.564524841308593 2.576874923706055 2.58
9274835586548 2.592374992370606
2.629425001144409 2.666574907302856
2.703725051879883 2.712974977493286
2.722274971008301 2.728475046157837
2.765599918365478 2.802725028991699
2.830599975585938 2.846024942398071
2.883125019073486 2.89552493095398
2.901799869537353 2.904824924468994
2.907900047302246 2.945049953460694
2.969799947738648 2.97287483215332
2.985224914550781 3.022350025177002
3.025449943542481 3.034699869155884
3.040975046157837 3.050174903869629
3.081099939346314 3.111974906921387
3.121299934387207 3.124399852752685
3.127525043487549 3.155349922180176
3.161474895477295 3.167674970626831
3.170749855041504 3.207874965667725
3.220249843597412 3.254275035858154
3.269700002670288 3.279025030136109 3.316099834442
139 3.343949985504151 3.347024869918823
3.384124946594238 3.405824851989746
3.442899894714356 3.452125024795532
3.455224943161011 3.482999992370606
3.486099910736084 3.523124885559082
3.532399845123291 3.544749927520752
3.566374969482422 3.569424819946289

72. 3.578700017929077 3.58492488861084
3.588000011444092 3.624999952316284
3.662024927139282 3.699125003814697
3.708374929428101 3.72382493019104
3.729974937438965 3.74544997215271
3.754674863815308 3.76392502784729
3.770124864578247 3.807149839401245
3.844224882125855 3.88435001373291
3.887349796295166 3.905950021743775
3.909024906158447 3.924424839019776
3.961499881744385 3.989324998855591
3.995499801635742 3.9985999584198
4.007849884033203 4.010974836349487
4.048049879074097 4.085149955749512
4.115999889373779 4.153125 4.190224838256836
4.224224758148194 4.245849800109863
4.248974990844726 4.261349868774414
4.267500114440918 4.270624828338623
4.307724666595459 4.323149871826172
4.363350105285644 4.400424671173096
4.43752498626709 4.47150011062622
4.477699947357177 4.483874988555908
4.505500030517578 4.514774990081787
4.551900100708008 4.585924816131592
4.595174980163574 4.61064977645874
4.647774887084961 4.678624820709229
4.681750011444092 4.703399848937988
4.709574890136719 4.72810001373291
4.765224647521973 4.802324962615967
4.805400085449219 4.808500003814697
4.814675045013428 4.817749691009521
4.854900074005127 4.891949844360352
4.932199668884277 4.972349834442138
5.009449672698974 5.046549987792968
5.049649906158447 5.077500057220459
5.086749744415283 5.095999908447266

73. 5.114649963378906 5.117699813842774
5.148599815368653 5.185674858093262
5.216624927520752 5.244425010681153
5.253724765777588 5.25679988861084
5.28459997177124 5.290825080871582
5.303174686431885 5.324799728393555
5.327899646759033 5.337175083160401
5.374249649047852 5.395899963378906
5.405224990844726 5.417549800872803
5.429974746704102 5.433025074005127
5.454674911499024 5.457800102233886
5.473224830627442 5.47632474899292
5.48559970855713 5.52272481918335
5.559874725341797 5.569149684906006
5.606349658966064 5.609424781799316
5.612449836730957 5.615599822998047
5.63417501449585 5.64035005 569458
5.677474689483643 5.714599800109863 5.7516996383667
5.788850021362304 5.825999927520752
5.863125038146973 5.900200080871582
5.937374782562256 5.974449825286865
6.011500072479248 6.017699909210205
6.048525047302246 6.05474967956543
6.057800006866455 6.094824981689453
6.125699710845947 6.131900024414062
6.14427490234375 6.175074768066406
6.19982500076294 6.236874771118164
6.242999744415283 6.246124935150146
6.249224853515625 6.286225032806396
6.323300075531006 6.360349845886231
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82. 1.097086104041236 1.098120493015341
1.110409065371969 1.113468063846464
1.123573134641241 1.135562800247053
1.147410377385581 1.159134940671829
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1.46949167315864 1.477990049831332
1.482927495431535 1.491307292688095
1.493381515857153 1.494077551940114
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