Tensile test Lab 1

8/20/2019 Tensile test Lab 1

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Tensile Test Experiment

Group 1

Mykenson Pierre 3903289

Hanser Castro 3256769 Adam We!s"er 1152905

#MA3702$

$a% 1& 'ensi"e 'est

Me!ania" and Materia"s #n(ineerin( )epartment

*"orida +nternationa" ,ni-ersity

Professor: )r& .ao

07/02/15


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Table of ContentList of Figures.........................................................................................2

List of table............................................................................................3

Nomenclature.........................................................................................4

Abstract..................................................................................................5

Introduction............................................................................................6

Data and Results....................................................................................8

Discussion............................................................................................

!onclusion............................................................................................3

Recommendation.................................................................................4

References...........................................................................................5

A""endices...........................................................................................6

A""endi# A...........................................................................................$

A""endi# %...........................................................................................8

A""endi# !...........................................................................................&

A""endi# D...........................................................................................2'

A""endi# (...........................................................................................28


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List of Figures

Figure . )arious "oints on stress*strain cur+e.......................................6Figure 2. Aluminum, Force +s (#tension.................................................$Figure 3. -teel, Force +s e#tension.........................................................$Figure 4 Aluminum -tress +s -train.......................................................8Figure 5 !arbon -teel -tress +s -train..................................................&Figure 6 /nited --01 -1AR0 0able 1odel.........................................6Figure $ /nited --01 -1AR0 0able 1odel.........................................6

2


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List of tables

0able Final Data for Aluminum s"ecimen............................................& 0able 2 Final Data for !arbon steel s"ecimen.....................................' 0able 3 -am"le Data from Aluminum s"ecimen...................................24 0able 4 -am"le Data for -teel s"ecimen..............................................2$

3


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Nomenclatureym%o" )esription ,nits

∆ L (au(e "en(t! e"on(ation in

* aia" tensi"e "oad "%s&

$ "en(t! o t!e speimen in

# oun(4s modu"us o

e"astiity

psi

A rosssetiona" area o t!e

speimen

in2

σ en(ineerin( stress psi

ϵ t!e en(ineerin( strain n/a

4


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Abstract'!e purpose o t!is eperiment is to understand t!e prinip"e o uniaia" tensi"e

testin( and (ain eperiene usin( tensi"e test ma!ine to o%tain neessary tensi"e

properties&

n t!e eperiment e i"" ana"ye "oadetension and stressstrain re"ations!ips

and represent t!em in (rap!ia" orm& A"so e i"" e-a"uate u"timate tensi"e stress

perent e"on(ation rature strain and oun(:s Modu"us o e"astiity o materia"s su! as

a"uminum and ar%on stee" !en su%;eted to uniaia" tensi"e "oad&

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Introduction

'!e me!ania" properties o materia"s are ound %y perormin( de"iate

eperiments on t!e part to see !o it reats under p!ysia" ores& +n rea" "ie t!ere are

innumera%"e num%er o ators in !i! "oad are app"ied on materia"s some o t!e most

re? -ersus strain =@? is reated %y t!e

sotare e reprodue t!e same (rap! on #e" spreads!eet& '!e -a"ue o stress on t!is

eperiment is a"u"ated %y di-idin( t!e amount o ore =*? !i! is app"ied %y t!e

ma!ine on t!e ross setion area =A? !i! is measure at t!e %e(innin( o t!e

eperiment&

tress is mat!ematia""y epress in e


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*i(ure 1& Barious points on stressstrain ur-e

'!eoretia""y t!e stressstrain ur-e an %e onstruted %y assumin( t!at t!e -o"ume o

t!e speimen remain t!e same t!rou(!out t!e eperiment e-en it!out measurin( t!e

ross setiona" area =2?&

$


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Data and Results

*i(ure 2& A"uminum *ore -s #tension

*i(ure 3& tee" *ore -s etension

8


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*'.'4 *'.'2 ' '.'2 '.'4 '.'6 '.'8 '. '.2

*4''''

*2''''

'

2''''

4''''

6''''

8''''

Aluminum: Stress vs Strain

-tress +s -train

ield -trengt Line

ield -trengt

ro"ortional Limit

(lastic Limit

/ltimate oint

Fracture oint

Strain

Stress

*i(ure A"uminumD tress -s train

7*-ect Area '.'&663

Lengt 3.''''''

( ,88&,$5.$'882'

ield strengt '.'2648$462$5.23

62

"ro"ortional limit '.'2663 4445.'4

elastic limit '.'643345363.'8

8

ultimate "oint '.'$5&884885'.&24

33

fracture "oint '.'23''3$24.83

$5

'a%"e 1 *ina" )ata or A"uminum speimen&

&


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Carbon Steel: Stress vs Strain

-tress +s-train

4ield-trengt5Line

4ield-trengt5 6ro"ortionalLimit

( la sti cL imit /l timat e6oint

Fracture6oint

Strain

Stress

*i(ure 5 Car%on tee"D tress -s train

7*-ect Area '.'2&43

Lengt 3.''''''

( 2,'&,$5.$8632

ield strengt '.'32545638$4.82$

3$

"ro"ortional limit '.'$238365.8&4

4&

elastic limit '.'$&'52'.36'

&3

ultimate "oint '.'28258 64'4.$846

fracture "oint '.'&3$$$2&$'3.&36

52

'a%"e 2 *ina" )ata or Car%on stee" speimen&

Discussion

'


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9n tis e#"eriment :e :ere able to anal;ed stress* strain gra"

of t:o di


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2


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Conclusion

0e "rimar goal on tis lab :as to anal;e te deri+ation of

e#"erimental formulas tat are used in materials engineering. %

e#amining te reaction of te s"ecimens under unia#ial tension, :e

can collect rele+ant information on teir structural and mecanical

"ro"erties. 0is lab el"ed us as engineers e#"lore and understand te

bea+ior of materials under a#ial stretc loading.

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Recommendationoark4s *ormu"as or tress and train is a book that includes an extended coverage of joints and shearing stress. It also covers material behavior and stress strain

measurements.

-tress, -train, and -tructural Dnamics b .in(en an( is a %ook t!at ouson t!e ana"ysis o Stress, -train, and -tructural Dnamics, tis is ane#tremel useful reference to statics and dnamics of solids andstructures, including mecanics of materials, structural mecanics,elasticit, rigid*bod dnamics, +ibrations, and structural dnamics.

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References= %eer, Ferdinand . 1ecanics of 1aterials. 6t ed. Ne: or>

1c?ra:*@ill, 2'. rint.2= Roar>, Ramond ., and Barren !. oung. Roar>Cs Formulas for

-tress and -train. $t ed. Ne: or> 1c?ra:*@ill, 2''2. rint.

3? ang, %ingen. -tress, -train, and -tructural Dnamics AnInteracti+e @andboo> of Formulas, -olutions and MA'$A. 'oo"%oes&AmsterdamD #"se-ier 2007& Print&

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AppendicesA""endi# A A""aratus

A""endi# % rocedure

A""endi# ! !alibration Data

A""endi# D (#"erimental Data

A""endi# ( -am"le !alculations

6


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Appendix AA""aratus

'!e ,nited Mode" 'M testin( ma!ine is a omputerin"usi-e e"etrome!ania" test system desi(ned to

aommodate a -ariety o testin( instruments and

aessories to test -arious types o materia" in"udin(eramis p"astis po"ymers meta"s and omposites

*i(ure 6 ,nited 'M JMA'K 'a%"e Mode"

*i(ure 7 ,nited 'M JMA'K 'a%"e Mode"

$


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Appendix

Proedure'!e irst step as to measure t!e speimen t!en e insert t!e -a"ues o idt! t!ikness

and area into t!e sotare and reprodue i(ures 2 and 3& amp"e data is o""eted rom

t!e sotare in or o #e" ta%"e ater t!e i(ures are o%tained

A"uminum peimen )imensionsD

'!ikness 0&053 inWidt!D 0&371 in

+nitia" $en(t! =$?D 3&0 in

*ina" $en(t! =$2?D 3&216 in

A tI =0&053?=0&371? 0&019663 in2

σ */A

train a"u"ationD$ 3&000

train =$2$?/$

Car%on tee" peimen )imensionsD

'!ikness 0&067 inWidt!D 0&30 in

+nitia" $en(t! =$?D 3&0 in

*ina" $en(t! =$2?D 3&305 in

train a"u"ationD

$ 3&000

train =$2$?/$

8


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Appendix CCa"i%ration )ata

We did not use a"i%ration on t!is eperiment&

Appendix D#perimenta" )ata

*C# '# #L' 'A+ de"de"$ yie"d str stress yie"d "ine u"timate po

&


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P+'+

0&025933 39&03631 1985&267 0&01961 0&0065 16130&8 18116&01781

0&030299 8&21369 252&001 0&0152 0&00508 0&00366 13380&5 15832&5075

0&030299 8&20651 251&635 0&055 0&01518 0&0303 3266&3 3917&90385

0&031573 59&38021 3019&896 0&027 0&0176 0&00127 31663&8 3683&6787

0&03327 67&6818 32&073 0&0257 0&0119 0&001697 3059&7 3036&76273

0&03121 72&1265 3668&135 0&0172 0&01391 0&000851 30058&8 33726&92156

0&0395 76&7393 3902&961 0&0089 0&01363 0&000829 29536&5 3339&771

0&035809 81&7623 13&632 0&0003 0&0133 0&000859 28995&1 33138&77283

0&036686 86&23006 385&397 0&03915 0&01305 0&000877 282&9 32828&31395

0&03751 91&07005 631&5 0&0383 0&01277 0&000855 2790&3 32535&83827

0&038383 95&96032 880&28 0&0376 0&0129 0&00082 27373&8 3225&08308

0&039208 100&9655 513&796 0&03663 0&01221 0&000825 2685&3 31989&051

0&0001 106&0712 539&56 0&0358 0&01193 0&000833 26329&2 31723&68676

0&00879 111&3851 566&705 0&0396 0&01165 0&000838 25801&5 3166&19152

0&0173 117&1227 5956&502 0&0311 0&01137 0&000855 25262&9 31219&37001

0&02589 122&7239 621&362 0&03325 0&01108 0&000855 272&2 30965&6019

0&0327 128&9067 6555&8 0&0321 0&0108 0&000838 2196&5 30752&3001

0&0282 135&0751 6869&506 0&03156 0&01052 0&000855 23657&9 30527&3838

0&05137 11&6672 720&761 0&0307 0&01023 0&000855 23119&2 3032&00786

0&05992 18&0009 7526&873 0&02985 0&00995 0&000855 22580&6 30107&50295

0&0683 15&388 789&708 0&029 0&00967 0&000851 220&7 2989&3557

0&0769 160&138 81&23 0&02815 0&00938 0&00086 21511&5 29655&97135

0&08536 165&8383 83&029 0&0273 0&0091 0&00086 20978& 2912&38925

0&0937 171&6118 8727&651 0&0267 0&00882 0&000838 2050&6 29178&2661

0&050233 177&27 902&193 0&02561 0&0085 0&000859 19909&3 28933&7012

0&051101 183&2593 9320&007 0&027 0&00825 0&000868 19362&5 28682&9706

0&051965 189&205 9633&37 0&02387 0&00796 0&00086 18818& 2851&77122

0&052807 195&3807 9936&65 0&02303 0&00768 0&00082 18288 2822&2983

0&05361 201&629 1025&79 0&0222 0&007 0&000833 17762&9 28008&7286

0&0583 207&5667 10556&21 0&02136 0&00712 0&00082 17232&5 27788&68838

0&055325 213&7638 10871&37 0&02051 0&0068 0&00082 16702 27573&38877

0&05618 220&1763 11197&9 0&01966 0&00655 0&000855 16163& 27360&88612

0&057061 226&628 11525& 0&01878 0&00626 0&000881 15608&5 27133&89801

0&057916 233&1306 11856&31 0&01792 0&00597 0&000855 15069&8 26926&1305

0&058762 239&6365 12187&18 0&01708 0&00569 0&00086 1536&6 26723&82321

0&059626 26&33 12528&27 0&01621 0&005 0&00086 13992&6 26520&8923

0&06072 253&5027 12892&37 0&01537 0&00512 0&00086 1359& 26351&76873

0&061319 260&6908 13257&9 0&0152 0&008 0&00086 12926&2 2618&15257

0&062165 268&3025 1365&0 0&01367 0&0056 0&00086 12393 26038&07292

0&06302 276&298 1051&51 0&01282 0&0027 0&000855 1185& 25905&92011

0&063871 28&809 167&83 0&01197 0&00399 0&000851 11318&5 25786&33832

0&06713 292&62 1881&96 0&01113 0&00371 0&00082 10788 25670&00509

0&065555 300&6952 15292& 0&01028 0&0033 0&00082 10257&6 25550&01586

0&06606 309&0896 15719&35 0&0093 0&0031 0&000851 9721&68 251&02882

0&067231 317&865 16165&62 0&00861 0&00287 0&000825 9202&1 25367&71327

0&06803 326&097 16600&2 0&0078 0&0026 0&000812 8690&68 25290&87715

0&068881 335&256 17050&11 0&00696 0&00232 0&000838 8162&9 25213&05168

0&06971 3&1821 1750&05 0&00613 0&0020 0&000829 760&63 251&68292

0&070556 353&5099 17978&3 0&00528 0&00176 0&00086 7107&5 25085&8818

2'


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0&07116 363&81 1883&86 0&002 0&0017 0&000859 6566&11 2509&9639

0&072271 373&695 1900&98 0&00357 0&00119 0&000855 6027&9 25032&6963

0&07313 38&595 19559&3 0&0027 0&0009 0&000872 577&98 25037&32561

0&073977 39&96 20086&68 0&00186 0&00062 0&000833 952&96 25039&6097

0&07819 05&915 2063&6 0&00102 0&0003 0&00082 22&5 25066&09211

0&075656 16&385 21176&0 0&00018 6&1#05 0&000838 389&76 25070&79636

0&07699 27&8018 21756&69 0&000659 0&00022 0&00082 336&29 25120&98127

0&077388 38&9821 22325&29 0&00159 0&000516 0&00089 2803&9 25129&18937

0&07828 50&3922 22905&57 0&00208 0&000803 0&000859 2262&57 25168&1351

0&079107 61&002 2365& 0&003268 0&001089 0&000859 1721&22 25186&620

0&07999 72&125 2011&72 0&0011 0&00137 0&00082 1190&76 25202&8095

0&08080 82&9278 2560&23 0&00965 0&001655 0&000855 652&133 25212&36273

0&08166 93&8065 25113&9 0&005807 0&001936 0&00082 121&67 25235&16086

0&08275 50&52 25658&3 0&006636 0&002212 0&000829 00&6281 25257&712

0&08333 516&5116 26268&2 0&00750 0&002501 0&000868 97&151 25320&7839

0&0819 527&9863 26851&77 0&008355 0&002785 0&000851 183&318 25368&5027

0&08505 539&781 279&9 0&009206 0&003069 0&000851 2019&217 2530&7197

0&0859 551&5602 28050&66 0&010061 0&00335 0&000855 2557&82 2592&82077

0&08672 562&9271 28628&75 0&010903 0&00363 0&00082 3088&308 2550&309

0&087576 57&2508 2920&6 0&011736 0&003912 0&000833 3613&325 25591&3129

0&08813 585&628 29783&09 0&01257 0&00191 0&000838 11&07 2562&0162

0&089286 597&0275 30362&99 0&0136 0&0082 0&000872 690&578 25672&165

0&090162 608&1573 30929&02 0&01323 0&0077 0&000877 522&801 25686&21727

0&091009 619&8616 3152&26 0&015169 0&005056 0&00086 5775&982 2578&28069

0&091855 630&711 32076&05 0&016016 0&005339 0&00086 6309&162 25766&89036

0&092693 61&63 32622 0&01685 0&005618 0&000838 6836&908 25785&0873

0&093527 652&1523 33166&7 0&017687 0&005896 0&000833 7361&925 2580&506

0&0936 662&7292 3370&38 0&018525 0&006175 0&000838 7889&669 2581&70891

0&095198 673&9379 327&2 0&019358 0&00653 0&000833 81&687 25859&73378

0&0960 68&5722 3815&25 0&020201 0&00673 0&00082 895&159 25870&0889

0&096878 695&185 3535&98 0&021038 0&007013 0&000838 972&897 25882&0839

0&097685 705&9197 35900&91 0&02186 0&007282 0&000808 9981&59 25919&32079

0&098532 716&927 3660&73 0&022692 0&00756 0&00086 1051&78 2595&9521

0&099395 727&395 36995&35 0&023556 0&007852 0&00086 11058&8 25936&5076

0&100255 738&0881 37536&9 0&0215 0&008138 0&000859 11600&18 25936&7168

0&101097 77&9827 3800&11 0&025258 0&00819 0&00082 12130&65 25909&6236

0&101926 757&991 3856&97 0&026087 0&008696 0&000829 12652&95 2589&01911

0&102751 767&2908 39022&06 0&026912 0&008971 0&000825 13172&53 2589&5267

0&10361 777&6233 3957&5 0&027771 0&009257 0&000859 13713&87 25833&66889

0&1083 787&5035 0050&02 0&02863 0&00958 0&000872 1263&38 25786&63711

0&105338 797&3191 059&21 0&02998 0&009833 0&000855 1802 2577&20605

0&10618 807&0198 102&56 0&0303 0&010113 0&00082 15332&6 25710&09278

0&107018 816&067 1502&67 0&031178 0&010393 0&000838 15860&21 2562&6365

0&107851 825&028 1958& 0&032012 0&010671 0&000833 16385&23 25573&16821

0&108693 833&6588 2397&3 0&03285 0&010951 0&00082 16915&69 2581&6502

0&109561 81&9377 2818&37 0&033722 0&01121 0&000868 1762&8 25355&896

0&1106 89&8576 3221&16 0&03607 0&011536 0&000885 18020&1 25201&01305

0&111297 856&96 3581&58 0&03558 0&011819 0&000851 18556&0 25025&53391

0&112152 863&7156 3925&93 0&036313 0&01210 0&000855 1909&66 2831&26766

0&112999 869&000 19&7 0&037159 0&012386 0&00086 19627&85 2566&85306

2


23/30

0&113828 87&008 51&0 0&037989 0&012663 0&000829 20150&1 2300&8927

0&115521 881&1637 813&29 0&039681 0&013227 0&001693 21216&51 23596&7786

0&1172 885&2206 5019&61 0&0105 0&013802 0&001723 22301&92 22717&68553

0&11895 887&5685 5139&02 0&0311 0&0137 0&001706 23376&5 21762&5687

0&12137 889&637 52&55 0&05598 0&015199 0&00287 293&35 20301&19962

0&123955 891&1587 5321&6 0&08116 0&016039 0&002518 26529&3 18792&2988

0&12652 892&925 511&3 0&050681 0&01689 0&002565 2815&17 17266&25802

0&129068 89&1528 573&87 0&053229 0&01773 0&00258 29750&15 15723&72075

0&131625 895&523 553&62 0&055785 0&018595 0&002557 31360&59 1183&0306

0&133352 896&3931 5587&81 0&057513 0&019171 0&001727 328&71 13139&09883

0&135861 897&879 5663& 0&060022 0&020007 0&002509 3029&22 1163&17317

0&137593 898&956 5718&17 0&061753 0&02058 0&001732 35120&07 10598&10023

0&139299 900&0263 5772&58 0&06359 0&021153 0&001706 3619&6 9577&980195

0&1179 901&6275 585&02 0&065951 0&02198 0&00292 3776&21 8089&801895

0&13505 902&891 5897&83 0&067666 0&022555 0&00171 388&19 7053&65878

0&15215 903&5231 5950&2 0&069376 0&023125 0&00171 39921& 6028&980919

0&17715 905&2823 6039&89 0&071876 0&023959 0&0025 196&9 53&39865

0&150229 906&7758 6115&8 0&0739 0&02797 0&002513 3079&73 3036&111806

0&151939 907&6661 6161&12 0&0761 0&025367 0&00171 156&97 200&16169

0&153658 908&8006 6218&82 0&077818 0&025939 0&001719 5239&66 979&151225

0&15536 909&995 6277&25 0&07952 0&026508 0&001706 631&19 36&9391120

0&15789 911&780 6370&36 0&082055 0&027352 0&002531 7908&29 1537&930896

0&15960 912&7569 620&02 0&083765 0&027922 0&00171 8985&5 2565&515188

0&16218 91&199 690&87 0&086309 0&02877 0&0025 50587&8 096&937068

0&163862 915&389 6553&67 0&088023 0&02931 0&00171 51667&78 511&10238

0&165577 916&37 6602&6 0&089738 0&029913 0&00171 5277&75 615&16066

0&168112 918&03 6688&2 0&092273 0&030758 0&002535 53&56 7656&10399

0&169826 919&133 67&29 0&093987 0&031329 0&00171 552&53 8680&2336

0&17151 920&1526 6796&1 0&095701 0&0319 0&00171 5650&51 9708&36299

0&1708 921&235 6860&78 0&09821 0&03277 0&002539 5810&05 1123&27087

0&17662 922&996 690&75 0&10078 0&033595 0&0025 59706&33 12765&57619

0&179103 92&569 7019&62 0&103263 0&0321 0&00279 61267&77 128&1129

0&181655 926&057 7096&31 0&105816 0&035272 0&002552 62875&5 15779&19676

0&18181 927&2108 7155&1 0&10832 0&03611 0&002526 666&86 17311&75839

0&185917 928&2088 7205&86 0&110078 0&036693 0&001736 65560&6 1835&60603

0&187619 929&307 7261&73 0&111779 0&03726 0&001701 66632&27 19370&53803

0&19019 930&892 732&3 0&1131 0&038103 0&002531 68226&33 20883&9023

0&191881 931&619 7379&31 0&11602 0&038681 0&001732 69317&23 21937&91709

0&1907 932&801 71&39 0&118568 0&039523 0&002526 70908&59 2367&1962

0&196118 933&6299 781&56 0&120278 0&00093 0&00171 71985&87 250&31178

0&19785 93&6638 753&1 0&12201 0&00671 0&001736 73079&1 2555&2652

0&199555 935&60 7581&97 0&123716 0&01239 0&001702 7151&21 26569&23853

0&202086 936&861 765&88 0&12626 0&02082 0&002531 7575&3 28099&5679

0&203818 937&5216 7679&8 0&127978 0&02659 0&001732 76836&17 29156&6966

0&206327 938&5771 7733&16 0&13087 0&0396 0&002509 7816&69 30683&5338

0&20881 90&185 781&95 0&132975 0&0325 0&00287 79983&55 32168&59836

0&211353 91&2553 7869&36 0&13551 0&05171 0&002539 81583&1 33713&70

0&213862 92&1888 7916&8 0&138023 0&06008 0&002509 83163&62 3526&7828

0&216385 93&068 7961&39 0&1055 0&0688 0&002522 8752&28 36790&88713

0&218103 93&9766 8007&76 0&1226 0&0721 0&001719 8583&98 37827&21998

22


24/30

0&219835 9&709 805&01 0&13996 0&07999 0&001732 86925&81 38880&79809

0&2223 95&599 8090&29 0&16505 0&08835 0&002509 88506&33 016&03968

0&2208 96&2527 8123&52 0&1821 0&091 0&001736 89599&93 176&1905

0&225786 96&782 818&72 0&1997 0&09982 0&001706 9067& 2525&72718

0&228312 97&8826 8206&1 0&15273 0&05082 0&002526 92265&8 059&39386

0&230035 98&6797 826&95 0&15196 0&051399 0&001723 93351&21 510&26565

0&231737 99&058 8265&56 0&155897 0&051966 0&001702 923&02 6157&518

0&23356 99&7567 8301&72 0&157616 0&052539 0&001719 95505&72 720&0029

0&236021 950&2378 8326&19 0&160181 0&05339 0&002565 97121&58 8795&3938

0&237731 950&5968 83& 0&161892 0&05396 0&00171 98198&87 985&212

0&20236 951&77 80&33 0&16396 0&05799 0&002505 99776&63 51372&29209

0&21967 952&571 8&87 0&166128 0&055376 0&001732 100867& 5222&58299

0&23686 952&5785 85&23 0&16787 0&05599 0&001719 101950&2 5350&9273

0&26178 953&196 876&63 0&170339 0&05678 0&00292 103519&8 5503&15256

0&28722 953&9858 8516&8 0&172882 0&057627 0&0025 105122 56605&229

0&251222 95&597 850&9 0&175383 0&05861 0&0025 106697&1 58156&208

0&253731 955&29 8590&2 0&177892 0&059297 0&002509 108277&6 59687&1563

0&256275 955&838 8611&01 0&18035 0&06015 0&0025 109879&9 61268&85317

0&258015 955&8599 8612&11 0&182176 0&060725 0&0017 110976&2 6236&06289

0&260537 956&6928 865&7 0&18698 0&061566 0&002522 11256&8 63910&36032

0&263085 957&102 8675&28 0&18726 0&06215 0&00258 11169&9 659&57619

0&26821 957&5831 8699&75 0&188982 0&06299 0&001736 115263&5 66563&70902

0&266523 957&5759 8699&38 0&190683 0&063561 0&001701 116335&2 67635&81628

0&269075 957&978 8719&83 0&193236 0&0612 0&002552 11792&9 69223&1092

0&270785 958&3156 8737 0&1996 0&06982 0&00171 119020&1 70283&1968

0&27332 958&811 8762&19 0&19785 0&065828 0&002539 120619&7 71857&51029

0&275039 958&8828 8765&85 0&199199 0&066 0&00171 121699&7 72933&8853

0&276762 959&026 8773&15 0&200923 0&06697 0&001723 122785&1 7011&952

0&27929 959&026 8773&15 0&2031 0&067803 0&00287 12352 75578&812

0&281776 959&6582 8805&28 0&205936 0&06865 0&002526 12593& 77138&10672

0&28306 959&797 8812&22 0&20867 0&06989 0&002531 127537&5 78725&29382

0&28679 959&7085 8807&8 0&21095 0&070317 0&00283 129101&7 80293&8205

0&289337 959&8808 8816&6 0&21398 0&071166 0&00258 130706&6 81890&0307

0&291056 960&1896 8832&3 0&215217 0&071739 0&001719 131789&3 82957&031

0&293578 960&527 889&6 0&217739 0&07258 0&002522 133378 8528&58395

0&295297 960&532 889&83 0&21958 0&073153 0&001719 1360&7 85610&85638

0&29702 960&2398 883&86 0&221181 0&073727 0&001723 13556&1 86711&235

0&298739 960&1896 8832&3 0&2229 0&073 0&001719 136628&8 87796&906

0&301265 960&2327 883&5 0&22526 0&07512 0&002526 138220&2 89385&72395

0&303805 960&5557 8850&92 0&227965 0&075988 0&002539 139819&8 90968&810

0&30631 960&252 8835&59 0&2307 0&076825 0&002509 1100&2 9256&6361

0&308853 959&9885 8822&08 0&23301 0&077671 0&002539 12999&8 9177&70129

0&310563 960&0316 882&27 0&2372 0&07821 0&00171 1077&1 95252&79823

0&312282 960&2183 8833&77 0&2363 0&07881 0&001719 15159&7 96325&9162

0&3180 960&0531 8825&36 0&238965 0&079655 0&002522 1678& 97923&05608

0&316527 960&01 8823&17 0&20688 0&080229 0&001723 17833&8 99010&58957

0&31826 959&7013 8807&7 0&2206 0&080802 0&001719 18916&5 100108&993

0&320785 959&3638 8790&31 0&296 0&08169 0&002539 150516 101725&713

0&322508 959&3925 8791&77 0&26669 0&082223 0&001723 151601& 102809&6587

0&32507 959&112 8778&98 0&29208 0&083069 0&002539 153201 1021&985

23


25/30

0&3276 958&6889 8755&98 0&25176 0&08392 0&002552 15808&7 106052&723

0&329327 958&29 8735&9 0&25388 0&0896 0&001727 155896&8 107160&928

0&33189 958&0929 8725&67 0&25601 0&085337 0&002522 15785&5 108759&8019

0&33337 957&7698 8709&2 0&25897 0&086166 0&00288 159052& 11033&1605

0&33606 957&353 8688&06 0&260225 0&08672 0&001727 16010&5 11152&569

0&33857 956&592 867&16 0&262708 0&087569 0&00283 16170&7 113057&5033

0&3108 955&9819 8618&31 0&265208 0&08803 0&002501 163279&8 11661&662

0&3279 955&3 8590&93 0&26691 0&08897 0&001702 16351&6 115760&657

0&377 955&005 8568&65 0&268637 0&08956 0&001727 16539&7 116871&0552

0&37003 953&91 8513&15 0&27116 0&090388 0&002526 167031&1 118517&983

0&38717 952&6216 87&2 0&272878 0&090959 0&00171 168111 119663&6285

0&3509 951&266 8378&1 0&2761 0&091537 0&001732 169201&9 120823&836

0&35298 99&1823 8272&51 0&2771 0&09238 0&002531 170796 122523&5096

0&3555 95&712 8096&13 0&279615 0&093205 0&00275 17235&8 12258&6855

0&35716 92&3179 7923& 0&281321 0&09377 0&001706 17329&3 125505&921

0&358866 937&87 7695&91 0&283027 0&0932 0&001706 17503&8 126807&9215

0&360529 932&6103 729&71 0&28689 0&09896 0&001663 175551&1 128121&18

0&362221 926&927 7118&58 0&286382 0&09561 0&001693 176617&5 12998&913

0&363923 918&9176 6733&3 0&28808 0&096028 0&001702 177689&3 130955&993

0&36565 910&3802 6299&15 0&289811 0&09660 0&001727 178777& 13278&281

0&36651 905&689 609&38 0&290675 0&096892 0&00086 179321&5 133272&1161

0&36733 900&3925 5791&21 0&29150 0&097168 0&000829 17983&8 13052&6239

0&368181 895&3735 5535&95 0&29232 0&0977 0&000838 180371&5 13835&58

0&369032 889&579 521&26 0&293192 0&097731 0&000851 180907& 135666&1702

0&3699 883&786 9&75 0&2906 0&09802 0&000868 1815&2 136509&679

0&370785 877&776 60&93 0&2996 0&098315 0&000885 182011&9 137370&9391

0&371653 871&097 301&33 0&29581 0&098605 0&000868 182558&7 138257&3806

0&3725 86&8932 3985&82 0&29666 0&098887 0&00086 183091&9 139106&0586

0&373337 857&61 3617 0&29798 0&099166 0&000838 183619&6 10002&6109

0&3715 850&6188 3259&87 0&29831 0&09938 0&000816 18133&8 10873&892

0&37996 82&8568 2865&12 0&299156 0&099719 0&00082 1866&2 11799&0936

0&375868 83&1686 223&26 0&300029 0&10001 0&000872 185213&7 12790&17

0&3767 825&107 1962&2 0&300901 0&1003 0&000872 185763&2 13800&8038

0&377621 81&8823 12&2 0&301782 0&10059 0&000881 186318&2 1875&7665

0&37868 80&5138 0915&11 0&302628 0&100876 0&00086 186851&3 15936&2313

0&379319 793&2622 032&89 0&30379 0&10116 0&000851 187387&3 170&381

0&380165 781&235 39731&22 0&30326 0&1012 0&00086 187920& 18189&2237

0&381016 767&7072 3903&2 0&305176 0&101725 0&000851 18856&3 1913&0611

0&38188 751&9319 3820&95 0&3060 0&102015 0&000868 189003&1 150762&187

0&382739 731&759 3721&81 0&306899 0&1023 0&000855 18951&7 152326&9038

'a%"e 3 amp"e )ata rom A"uminum speimen&

P+' *C# '# #L' 'A+ de"de"$ yie"d str stress yie"d"ine u"t

0&025933 38&68 1315&216 0&0188 0&00628 17312&8 18627&99078

0&030299 57&0637 1939&95 0&015 0&0085 0&00297 1317&5 16257&0359

0&030299 56&95302 1936&321 0&03553 0&0118 0&02099 2897&5 30883&79173

0&031573 62&6260 2129&196 0&03512 0&01171 0&0001 28661&5 30790&69721

0&03327 70&618 2395&07 0&0327 0&0112 0&00086 28071&5 3066&55387

24


26/30

0&03121 76&3361 2595&268 0&0333 0&0111 0&000838 2787&5 30082&7569

0&0395 82&1656 2793&513 0&03259 0&01086 0&00086 26897&5 29690&99059

0&035809 88&32691 3002&989 0&03173 0&01058 0&000859 26298& 29301&203

0&036686 9&66773 3218&568 0&03087 0&01029 0&000855 25702& 28920&96565

0&03751 101&1091 337&565 0&03 0&01 0&000868 25097&3 2853&90176

0&038383 107&5576 3656&805 0&02916 0&00972 0&00086 2507&3 2816&1298

0&039208 113&8051 3869&211 0&02829 0&0093 0&00086 23905&3 2777&8036

0&0001 120&311 090&02 0&0276 0&00915 0&000838 23321&3 2711&67518

0&00879 127&2622 326&733 0&02661 0&00887 0&00086 22731&3 27057&99567

0&0173 13&357 567&96 0&02576 0&00859 0&000855 22135&2 26703&17366

0&02589 11&5165 811&359 0&029 0&0083 0&000855 21539&2 26350&55282

0&0327 18&317 506&66 0&0203 0&00801 0&000872 20931&1 25977&58785

0&0282 155&332 528&507 0&02317 0&00772 0&000855 20335&1 25619&59507

0&05137 162&13 5521&81 0&02233 0&007 0&000838 19751&1 25272&90311

0&05992 169&3929 5759&117 0&02151 0&00717 0&000825 19176&1 2935&2756

0&0683 176&3225 599&713 0&02066 0&00689 0&000851 18583&1 2577&82123

0&0769 183&5322 6239&833 0&01979 0&0066 0&000868 17978 2217&87309

0&08536 190&591 679&822 0&01892 0&00631 0&000868 17373 23852&7976

0&0937 197&657 6720&056 0&01807 0&00602 0&000855 16776&9 2397&00135

0&050233 20&522 6953&56 0&01722 0&0057 0&000851 16183&9 23137&3790

0&051101 211&5305 7191&735 0&01638 0&0056 0&000838 15599&9 22791&6629

0&051965 218&6109 732&58 0&0155 0&00518 0&000838 15015&9 228&39707

0&052807 225&9282 7681&236 0&0169 0&009 0&000851 122&9 2210&1586

0&05361 233&360 7933&92 0&0138 0&0061 0&000855 13826&9 21760&795

0&0583 21&087 8196&61 0&01299 0&0033 0&00086 13236&9 2133&7797

0&055325 250&0631 8501&788 0&01213 0&000 0&00086 1263&8 21136&5952

0&05618 259&0105 8805&987 0&01128 0&00376 0&000851 1201&8 2087&77165

0&057061 268&7908 9138&503 0&0105 0&0038 0&000829 1163&8 20602&3152

0&057916 277&9032 98&312 0&0096 0&0032 0&00082 10876&8 20325&1230

0&058762 287&815 9786&2 0&00878 0&00293 0&000821 1030&9 20091&05683

0&059626 297&63 10119&5 0&00793 0&0026 0&000855 9708&83 19828&27676

0&06072 308&0052 1071&7 0&0071 0&00237 0&000829 9130&85 19602&5893

0&061319 318&17 10825&7 0&00628 0&00209 0&000816 8561&91 19387&673

0&062165 329&2389 11193&65 0&0055 0&00182 0&000833 7980&93 1917&5807

0&06302 31&2093 11600&63 0&0059 0&00153 0&000855 738&89 18985&5232

0&063871 35&5583 1205&8 0&00372 0&0012 0&000872 6776&82 18831&29521

0&06713 367&9935 12511&25 0&00287 0&00096 0&000851 6183&8 18695&0922

0&065555 381&6082 1297&13 0&00203 0&00068 0&00082 5596&79 18570&92693

0&06606 395&3737 132&1 0&00119 0&000 0&00082 5009&79 1851&93231

0&067231 09&3187 13916&25 0&0003 0&00011 0&00082 22&79 18339&0380

0&06803 23&503 1396&71 0&00051 0&00017 0&000855 3826&75 18223&5836

0&068881 38&0917 189&9 0&00137 0&00057 0&000859 3227&71 18122&20272

0&06971 52&59 15382&51 0&002225 0&00072 0&000855 2631&68 1801&19063

0&070556 67&3889 15890&55 0&003071 0&00102 0&00086 201&66 17932&21702

0&07116 81&8938 16383&7 0&003905 0&001302 0&000833 160&68 178&38032

0&072271 96&892 16893&69 0&00738 0&001579 0&000833 879&699 17773&39227

0&07313 511&6935 17396&85 0&005559 0&001853 0&000821 307&75 1770&5939

0&073977 527&0312 17918&31 0&006383 0&002128 0&000825 267&2159 17651&09198

0&07819 53&15 1866&1 0&00723 0&0021 0&00086 857&2328 17608&90358

0&075656 559&2936 19015&18 0&008085 0&002695 0&000855 153&26 17561&91887

25


27/30

0&07699 575&1268 19553&9 0&008931 0&002977 0&00086 203&276 17510&21299

0&077388 591&985 20110&1 0&00976 0&003253 0&000829 2621&2 1788&8599

0&07828 607&377 2069&87 0&01059 0&00353 0&000829 3199&22 1750&6527

0&079107 623&3082 21191&59 0&0111 0&003805 0&000825 377&182 1717&075

0&07999 639&185 21730&1 0&012235 0&00078 0&000821 36&139 17383&99686

0&08080 655&025 22269&9 0&013068 0&00356 0&000833 927&11 1732&7868

0&08166 671&3386 2282&55 0&013911 0&00637 0&00082 551&12 17310&3075

0&08275 687&7388 23382&1 0&0178 0&00916 0&000838 6098&112 1728&0237

0&08333 705&2878 23978&78 0&015603 0&005201 0&000855 669&17 1728&63075

0&0819 722&9517 2579&33 0&01667 0&00589 0&00086 7296&203 17283&12338

0&08505 70&5222 25176&7 0&01731 0&005771 0&00086 7886&215 17290&8338

0&0859 759&2056 25811&91 0&018169 0&006056 0&000855 882&22 17329&66553

0&08672 776&2877 26392&67 0&019011 0&006337 0&00082 9069&256 17323&186

0&087576 79&575 27013&8 0&019836 0&006612 0&000825 96&217 17369&26338

0&08813 812&129 27611&09 0&020682 0&00689 0&00086 1023&23 17376&85787

0&089286 829&939 28216&75 0&021533 0&007178 0&000851 10827&25 17389&50322

0&090162 88&199 28837&55 0&022396 0&00765 0&00086 1129&31 1708&2618

0&091009 866&198 297&86 0&023256 0&007752 0&000859 12028&35 1719&50339

0&091855 88&556 30073&29 0&02111 0&008037 0&000855 1262&39 178&9011

0&092693 901&9291 3066&3 0&02962 0&008321 0&000851 13217&1 176&89208

0&093527 920&259 31287&05 0&025787 0&008596 0&000825 13792&37 179&6759

0&0936 938&735 31915&65 0&026616 0&008872 0&000829 1370&3 1755&3082

0&095198 957&6693 32559&39 0&02775 0&009158 0&000859 1969&38 17590&00682

0&0960 977&2856 33226&31 0&02833 0&0095 0&000859 15568&3 17657&87972

0&096878 996&3203 33873&7 0&029198 0&009733 0&00086 16170&8 17702&9835

0&097685 1015&326 3519&63 0&0300 0&010013 0&00082 16757&9 17762&1287

0&098532 103&83 35170&95 0&030887 0&010296 0&00086 1737&5 17823&322

0&099395 1052&93 35798&56 0&03172 0&010573 0&000833 17928&8 17870&07785

0&100255 1072&207 3653&51 0&032558 0&010853 0&000838 18512&8 1791&03253

0&101097 1090&373 37071&13 0&03322 0&01111 0&00086 1911&53 17956&59565

0&101926 1109&809 37731&92 0&03277 0&01126 0&000855 19710&56 18021&35532

0&102751 1128&56 38365&89 0&035136 0&011712 0&000859 20309&61 18056&2807

0&10361 117&856 39025&6 0&03597 0&011991 0&000838 20893&6 18131&86313

0&1083 1166&833 39670&66 0&036812 0&012271 0&000838 2177&6 18193&06065

0&105338 1185&8 030&63 0&037637 0&01256 0&000825 22052&56 18252&07007

0&10618 120&18 0939&31 0&038 0&012815 0&000808 22615&8 18323&8292

0&107018 1183&326 0231& 0&038898 0&012966 0&00053 22931&55 17299&8111

0&107851 1318&6 825&76 0&02875 0&01292 0&003977 2570&02 19121&73372

0&108693 151&612 519&65 0&05101 0&01701 0&008166 31396& 20098&20805

0&109561 1688&718 571 0&05932 0&019811 0&008391 3725& 20168&6002

0&1106 1821&969 619&3 0&067823 0&022608 0&008391 309&35 1889&9917

0&111297 1875&578 63766&97 0&076218 0&02506 0&008395 896&33 1820&679

0&112152 1883&661 601&78 0&08773 0&028258 0&008555 5909&67 9132&1198

0&112999 1881&31 63961&99 0&09319 0&0311 0&00866 60936&23 3025&755178

0&113828 1876&051 63783&06 0&102073 0&0302 0&00865 66968&86 3185&80169

0&115521 1869&669 63566&07 0&110629 0&036876 0&008555 72932&2 9366&121292

0&1172 1862&6 63320&51 0&119067 0&039689 0&00838 7881&26 1593&799

0&11895 185&528 63051&3 0&12779 0&0293 0&00813 8678&26 21626&96059

0&12137 185&539 6275&69 0&135896 0&05299 0&00817 9055&27 27799&57818

0&123955 1835&265 62396&39 0&16 0&08153 0&00856 9651&67 3118&27583

26


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0&12652 1823&67 62002&18 0&153127 0&05102 0&008667 102556&3 055&0971

0&129068 1810&826 61565&5 0&161777 0&053926 0&00865 108585&8 7020&33512

0&131625 1797&588 61115&3 0&170289 0&056763 0&008512 11519&1 5303&6305

0&133352 1783&695 6063&08 0&178732 0&059577 0&0083 1200&2 59761&1012

0&135861 1768&99 6011&7 0&18717 0&062391 0&0083 126289&2 6617&5026

0&137593 1753&068 59601&81 0&195626 0&065209 0&00851 132180& 72578&55587

0&139299 173&896 58983&99 0&20181 0&06806 0&008555 13813&7 79159&71067

0&1179 171&657 58295&89 0&212835 0&07095 0&00865 1176&2 85880&35992

0&13505 1691&25 5799&91 0&2219 0&073831 0&008659 150211&9 92711&9603

0&15215 166&9 56590&2 0&230032 0&076677 0&008538 156163&1 99572&72886

0&17715 1633&112 55523&8 0&2387 0&07991 0&0083 16208&3 10652&7999

0&150229 159&629 5215&11 0&26909 0&082303 0&0083 167927&3 113712&2313

0&151939 155&2 5252&07 0&25533 0&085111 0&00825 173800& 121258&326

0&153658 178&12 50263&9 0&263906 0&087969 0&008572 179775&7 129511&85

0&15536 1375&712 6772&2 0&272578 0&090859 0&008672 185820&3 13908&0968

0&15789 873&6819 29703&9 0&281332 0&093777 0&00875 191922&2 162218&2587

'a%"e amp"e )ata or tee" speimen&

2$


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Appendix !amp"e Ca"u"ations

Modu"us o e"astiity and proportiona" "imit a"u"ationsD

'!e modu"us o e"astiity # is e


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Tensile test Lab 1

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