design of experiments and taguchi experimental design

Design of Experiments and Taguchi Experimental DesignProfessor Joe GreeneCSU, Chico

Taguchi

Design of ExperimentsNeed for ExperimentsFactorial ExperimentsTwo-Factor Factorial ExperimentsStatistical Analysis for Two-Factor ExperimentsOther Factorial ExperimentsGeneral Factorial ExperimentsRandomized Complete Block Design2k Factorial DesignTaguchi Designs

Taguchi

Need for Need for ExperimentsNeed to establish cause and effect relationshipsHomeCar repair- Trouble-shooting starting, noise, and braking problemsHome repair- Electrical and mechanical problems, cooking, etc.Gardening and lawn maintenance- watering and pesticide useSchoolStudying versus grades performanceAttendance versus grade performanceIndustryMaintenance and trouble-shooting of equipmentEffects of moisture, line rate, operators on productivity and qualityTrouble shooting production problems for incoming MaterialsTrouble shooting production problems on Target values for performance or appearance

Taguchi

Experimental GoalsStatistical AccuracyProper selection of the responses to be measuredDetermination the number of factors that affect a responseThe interactions between the factorsThe number of repetitions per runThe form of analysis to be completedCostMinimize the costReduce the number of experiments to the minimumStudy the main factorsThoroughly understand the process under studyChoose the minimum number of experiments

Taguchi

Factorial ExperimentsStudy the effects of 2 or more factors with factorial experimentsEach factor and each combination of factors are studiedExampleFactor A has 2 levels (high, low)Factor B has 2 levels (on, off)Then the total number of experiments is 2x2=4, orhigh-on, high-off, low-on, low-offExperiments measure the difference of the response from one level of the factor (high for A) and another level (low for A).

Taguchi

Factorial Experiments- Design

ExampleFactor A- 2 levels- A1, A2Factor B- 2 levels- B1, B2Measured values are10, 2030, 40 The effect Factor A has on the experiment is the average difference between the levelsA= 30+40 - 10+20 = 20 2 2B= 20+40 - 30+10 = 10 2 2

ConclusionChanges in Factor A causes more of an effect than B. Factor A is more significant than Factor B

Taguchi

Factorial Experiments- Interaction

Example- No Interactions Interactions

Taguchi

Chart1

1020

300

B2

B2

B1

B1

Factor A

Observation

Sheet1

For B1

A110

A230

A120

A20

Sheet1

Factorial Experiment (No Interaction)

Sheet2

&A

Page &P

B2

B2

B1

B1

Factor A

Observation

Sheet3

Two-Factor Factorial Experiments

Problem- Molding problems on Injection Molder has caused defects to sky rocket. The problems started when the PP resin was switched to a different supplier. Additionally, a new operator was added

Experiment design to determine the cause of the defectFactor A- 2 levels: Resin 1= PP_old and Resin 2 PP_newFactor B- 2 levels- Operator 1= Tom and Operator 2= Bob

Experiment run to see what is the cause- Operator or Resin

Taguchi

Two-Factor Factorial ExperimentsExperimental Layout

Taguchi

Chart2

1020

3040

Tom

Bob

Bob

Tom

Factor A

Observation

Sheet1

For B1= Bob

PP_old10

PP_new30

PP_old20

PP_new40

Sheet1

Factorial Experiment (No Interaction)

Sheet2

&A

Page &P

Tom

Bob

Bob

Tom

Factor A

Observation

Sheet3

Significance of DifferenceLevel AveragesSum Differences from TableGraph Results

Analysis of VarianceStatistical Measurement MethodMeasures the total variability in the data measured by the Sum of SquaresSeparate out the the differences caused by the individual factorsCalculates the differences caused by the errorUses the F statistic to calculate the significance

Taguchi

ANOVA ExampleAnalysis of Variance

Note: F Statistic determines significance. If F is greater than a specified value than the factoris significant.

Taguchi

SSFactor A = Page 334

SSFactor B = Page 334

SSTotal = Page 334

ANOVA Example CalculationAnalysis of Variance

SST= Sum (results)2 - y..2 N = (10)2 + (20)2 + (30)2 ++(70)2 - (1280)2 8SSResin = Sum (Resin y.)2 - y..2 n NSSOperator = Sum (Operator y.)2 - y..2 n NSSError= SST - SSResin - SSOperator

Taguchi

Sheet1

ExperimentResinOperatorImpact ResultsSquares of ResultsSum

1PP_oldBob1020100400500

2PP_oldTom304090016002500

3PP_newBob20304009001300

4PP_newTom6070360049008500

Sheet2

Sheet3

Sheet1

ExperimentResinOperatorImpact ResultsSquares of ResultsSum

1PP_oldBob1020100400500

2PP_oldTom304090016002500

3PP_newBob20304009001300

4PP_newTom6070360049008500

12800= y..

Sheet2

Sheet3

Other Factorial ExperimentsGeneral Factorial ExperimentsInvolves experiments with more than 2 factorsRequires many experiments to runRandomized Complete Block DesignSpecial design of experiment that blocks out certain extraneous effectsUsed to investigate the effects of one ore more factors when entire experiment cannot be run under homogeneous conditions2k Factorial DesignSpecial design for 2 levels and k factors

Taguchi

Taguchi Experimental DesignHistory of Dr. Genichi TaguchiAfter WWII, the Japanese initiated a major effort to participate in the world market.The first products were inexpensive, but of poor quality.The Japanese government set up government agencies modeled after US companies (Bell Labs). One such company, Electrical Communication Laboratories of Japan (ECL), hired Dr. Taguchi to reduce the cost of experimentation.Dr. Taguchi developed a series of experiments that resembled partial factorial designs and featured orthogonal (balanced) arrays. The experimental method is called The Taguchi Approach

Taguchi

Comparison: Taguchi vs. Conventional Experimental DesignTraditional experimental designs were introduced by R.A. Fisher in 1920s in EnglandLimitations of traditional designLimited variety of layouts and difficult data analysisLimited number of variables with many required repetitionsPassive approach to interactions. Difficulty in resolving themF statistic only recognized as fully significant. Partial effects are not calculatedTaguchi hasMultiple layouts and designs and efficient data analysisMinimum number of experimentsActive approach to interactions and calculates partial contribution

Taguchi

Features of TaguchiOrthogonal ArraysEfficient data collectionSeparated effects from one anotherBalanced, separable, or not mixedMinimum number of experimentsExperimental DesignsTwo Level- L8, L16, L32 have 8 experiments, 16 experiments, and 32 experiments, respectivelyThree Level- L9, L27 have 9 experiments and 27 experiments.Data Analysis- Software availableLevel AveragesANOVA

Taguchi

Examples TaguchiDesign of Experiment for thermoplastic compositesObjectivesWhat is the best combination of Twintex composites and GMT?What are the optimum process conditions?Paper for SAE

Taguchi

Improving Performance of BMC Bumper BeamsDOE Study Evaluate Effectiveness of Prepreg Technology to Selectively Increase Stiffness & Impact PerformanceFind Optimum Combination of the 2 Materials4 Variables were Compared vs Static Load :Prepreg TypeBMC Glass %Weight Fraction of PrepregTonnage of Press

Taguchi

Improving Performance of BMC Bumper BeamsDOE Study3-Point Loading Test (ASTM D790), with FMVSS 581 Pendulum Impactor headTypical mid-sized Vehicle Bumper was UsedTest loaded Beam at Centerline @ 51 mm/minLoad/Deflection Response Measured & RecordedTests Measurable was Beams Static Load, Recorded at 25 mm of DeflectionSpecific Load = Static Load/Beam Weight

Taguchi

Static Test Setup with a Pendulum Face Moving at a Constant Speed into a Rigidly Mounted Beam

Taguchi

DOE StudyTP-BMC Glass Weight Percentage:20%,30%, and40%..Weight percentage of prepreg:25%, 50%, and75%..Press Tonnage (metric):450 t,675 t, and900 t..Prepreg type:satin weave (1:1),:twill weave (4:1), and unidirectional (uni);

Taguchi

DOE Study

Taguchi

Figure 2: Continuous Extrusion System for Thermoplastic BMC Technology

Figure 3: Static Load for TP-BMC/Prepreg

Figure 4: Mass of Beams for TP-BMC/ Prepreg

Figure 5: Mean Static Load vs. Beam Mass for TP-BMC/ Prepreg

_915880270.xls

Sheet: TTCPIDOE

Certainteed TwinTex Static Test Results with CPI

S.G. CPI 40 (30,20)= 1.19 (1.11,1.03)

Molded beams at CPI on 11-30-95

S.G. TT (60%)= 1.5; Uni (75%)= 1.78

Joe Greene 1-24-96

Baseline: CPI50% 6600 and 9.2lbs

Average

sg. PP 45/ 50%=

1.2675

1.345

Beam #

Material....................

:Azdel Plus 7200lbs

weight

load@25

load/wt

Exp

PP%

PP%

Ave wt

S.D. wt

Ave load

S.D. load

Ave sp load

S.D.sp load

TT

CPI%

TT%

Glass%tot

Densit

Glass%

lbs

lbs @25

lbs/lbs

No.

wt%

vol%

lbs

lbs

lbs @25

#@25

lbs @25

#@25

951130-#

wt%

wt%

wt. %

g/cc

vol.%

1-1

1:1

30.4

1.1101582599204802

13.183129336555702

604.1131105398457

1.0

30.666666666666668

13.327847958916168

7.593333333333334

0.1616580753730973

4827.333333333333

155.05267922011478

636.1265924021708

31.30279609699179

1-2

30.8

1.11378346141061

13.4002072700964

666.6666666666666

1-3

30.8

1.11378346141061

13.4002072700964

637.6

2-1

Uni

47.5

1.2895995471911703

23.928116598273668

670.7891637220259

2.0

47.5

23.928116598273665

8.396666666666667

0.14468356276144892

5392.666666666667

304.5231244640312

641.9874118103509

26.727959066044036

2-2

47.5

1.2895995471911703

23.928116598273668

637.1900826446281

2-3

47.5

1.2895995471911703

23.928116598273668

617.9829890643986

3-1

4:1

47.6

1.2908196795612663

24.001178416842293

831.3725490196078

3.0

46.8

23.424855309548505

7.93

0.32526911934583697

6442.0

483.6610383315985

811.7901706137

27.69366512516376

3-2

46.0

1.2715704877776537

22.848532202254713

792.2077922077922

3-3

No material

41.0125

Average glass loading

4-1

4:1

36.9

1.1721551418120457

16.89551747377519

672.544080604534

4.0

36.9

16.89582833457047

8.053333333333333

0.32516662395352514

5670.0

335.1119216023208

703.9872761119403

27.869272191322224

4-2

36.599999999999994

1.1691417194347231

16.715073020043306

713.7767220902613

4-3

37.2

1.175184138315212

17.076894509892927

725.6410256410256

5-1

1:1

44.4

1.2528869630248773

21.729758264962715

840.6175771971497

5.0

44.199999999999996

21.592344900441717

8.436666666666667

0.02081665999432418

6866.333333333333

262.93408552967867

813.8696849268621

31.19868627906177

5-2

44.099999999999994

1.2494447582436263

21.523638218181215

821.3947990543735

5-3

44.099999999999994

1.2494447582436263

21.523638218181215

779.5966785290628

6-1

Uni

63.75

1.523631196188247

37.94198779570341

733.8444687842277

6.0

57.949999999999996

37.94198779570341

9.115

0.021213203435613576

6908.5

294.8635277547903

757.96619043607

34.11326590782036

6-2

63.75

1.523631196188247

37.94198779570341

782.0879120879122

6-3

No material

46.349999999999994


7-1

Uni

48.75

1.3050189732941937

24.851435526598415

653.2621589561091

7.0

48.75

24.85143552659842

8.953333333333333

0.46306946923039305

5917.666666666667

376.31679916439526

660.8662978833289

21.246396549327983

7-2

48.75

1.3050189732941937

24.851435526598415

644.4683136412459

7-3

48.75

1.3050189732941937

24.851435526598415

684.8684210526317

8-1

4:1

48.8

1.3056434236464494

24.88882776326044

664.2369020501139

8.0

48.79999999999999

24.88882776326044

8.766666666666666

0.011547005385214871

5887.0

263.83517582005624

671.5264559345129

30.28848575494849

8-2

48.8

1.3056434236464494

24.88882776326044

704.7945205479452

8-3

48.8

1.3056434236464494

24.88882776326044

645.5479452054794

9-1

1:1

53.4

1.3657671050580857

28.489048207071004

776.7573696145124

9.0

52.24375

28.489048207071004

8.86

0.056568542495360315

7002.0

213.54624791833734

790.2326173915259

19.056878162592643

9-2

53.4

1.3657671050580857

28.489048207071004

803.7078651685393

9-3

No material

49.93125


A-1

CPI 20%

496.0212201591512

CPI20%

20.0

8.046875

7.6766666666666685

0.2937799630108097

4149.333333333333

580.3838959401489

539.7295954818359

64.70379146378187

A-2

" "

520.6185567010309

A-3

507.98319327731093

A-4

556.9620253164557

A-5

663.1377551020408

A-6

493.6548223350254

B-1

CPI 30%

596.4530892448513

CPI30%

30.0

13.007812500000002

8.502

0.15205262246991133

5545.6

221.39399269175536

652.7440400541993

35.92608393327893

B-2

641.4719626168223

B-3

689.5734597156398

B-4

672.488038277512

B-5

663.7336504161713

C-1

CPI 40%

618.3516483516484

CPI40%

40.0

18.593749999999996

8.928571428571429

0.22445701677817392

5773.285714285715

592.2175034804122

666.8427901107257

26.223224830596834

C-2

691.7204301075268

C-3

684.757505773672

C-4

662.840909090909

C-5

678.173719376392

C-6

665.2125279642058

C-7

522.1330275229358

C-8

639.1752577319588

Metric Equivalent

Beam #

Material....................

Mass

load@25

Ave Mas

S.D. Mass

Ave load

S.D. ld

TT

CPI%

TT%

kg

kN @25mm

kg

kg

kN @25mm

#@25

951130-#

1-1

1:1

20.0

26.0

30.4

3.5321200000000004

20.8915

3.4473733333333336

0.07339276621938617

21.457496666666668

70.39391636593211

1-2

20.0

27.0

30.8

3.4050000000000002

22.225

1-3

20.0

27.0

30.8

3.4050000000000002

21.25599

2-1

Uni

20.0

50.0

47.5

3.8544600000000004

25.314275000000002

3.8120866666666666

0.06568633749369782

23.970403333333337

138.25349850667016

2-2

20.0

50.0

47.5

3.8453800000000005

23.989665000000002

2-3

20.0

50.0

47.5

3.7364200000000003

22.60727

3-1

4:1

20.0

69.0

47.6

3.7046400000000004

30.154880000000002

3.60022

0.14767218018300998

28.634690000000003

219.58211140254573

3-2

20.0

65.0

46.0

3.4958

27.1145

3-3

No material

41.0125

4-1

4:1

30.0

23.0

36.9

3.60476

23.736300000000004

3.656213333333333

0.1476256472749004

25.20315

152.14081240745367

4-2

30.0

22.0

36.599999999999994

3.82268

26.71445

4-3

30.0

24.0

37.2

3.5412

25.1587

5-1

1:1

30.0

48.0

44.4

3.82268

31.461710000000004

3.830246666666667

0.009450763637423178

30.520851666666665

119.37207483047412

5-2

30.0

47.0

44.099999999999994

3.8408400000000005

30.888305

5-3

30.0

47.0

44.099999999999994

3.82722

29.21254

6-1

Uni

30.0

75.0

63.75

4.145020000000001

29.781500000000005

4.13821

0.009630794359768564

30.708282500000003

133.86804160067481

6-2

30.0

75.0

63.75

4.1314

31.635065

6-3

No material

46.349999999999994

7-1

Uni

40.0

25.0

48.75

3.82722

24.478615

4.064813333333333

0.21023353903059844

26.304028333333335

170.84782682063545

7-2

40.0

25.0

48.75

4.22674

26.67

7-3

40.0

25.0

48.75

4.14048

27.76347

8-1

4:1

40.0

44.0

48.8

3.9861199999999997

25.92324

3.980066666666666

0.005242340444887552

26.167715

119.78116982230553

8-2

40.0

44.0

48.8

3.97704

27.44343

8-3

40.0

44.0

48.8

3.97704

25.136475

9-1

1:1

40.0

67.0

53.4

4.0042800000000005

30.452695000000002

4.02244

0.025682118292893585

31.123890000000003

96.94999655492515

9-2

40.0

67.0

53.4

4.0406

31.795085000000004

9-3

No material

A-1

CPI 20%

3.42316

16.624299999999998

3.4852066666666675

0.13337610320690763

18.443786666666668

263.49428875682764

A-2

" "

3.52304

17.957800000000002

A-3

3.2415599999999998

16.122015

A-4

3.5866000000000002

19.558

A-5

3.55936

23.109555

A-6

3.5775200000000003

17.291050000000002

B-1

CPI 30%

3.96796

23.171785

3.8599080000000003

0.06903189060133974

24.650192000000004

100.51287268205694

B-2

3.8862400000000004

24.407495000000004

B-3

3.83176

25.8699

B-4

3.7954399999999997

24.98979

B-5

3.81814

24.81199

C-1

CPI 40%

4.1314

25.012015

4.053571428571429

0.10190348561729097

25.662255000000005

268.8667465801072

C-2

4.222200000000001

28.594685000000002

C-3

3.9316400000000002

26.358850000000004

C-4

3.9952000000000005

25.927685

C-5

4.07692

27.070050000000002

C-6

4.0587599999999995

26.434415

C-7

3.9588800000000006

20.238085

C-8

4.4037999999999995

27.559

*****************Graph Results**************

Exp

Ave wt

S.D. wt

Ave load

S.D. load

load/wt

Glass

Glass

Ave wt

S.D. wt

Ave load

S.D. load

No.

lbs

lbs

lbs @25

lbs @25

Ave

St. Dev

wt.%

vol%

kg

kg

kN

N

1.0

7.593333333333334

0.1616580753730973

4827.333333333333

155.05267922011478

635.7330992098331

20.41958023091942

30.666666666666668

13.327847958916168

3.4473733333333336

0.07339276621938617

21.457496666666668

0.6892091591334103

2.0

8.396666666666667

0.14468356276144892

5392.666666666667

304.5231244640312

642.2389837236999

36.267144636446744

47.5

23.928116598273665

3.8120866666666666

0.06568633749369782

23.970403333333337

1.3536052882426186

3.0

7.93

0.32526911934583697

6442.0

483.6610383315985

812.3581336696091

60.99130369881444

46.8

23.424855309548505

3.60022

0.14767218018300998

28.634690000000003

2.1498733153839553

4.0

8.053333333333333

0.32516662395352514

5670.0

335.1119216023208

704.0562913907286

41.61157966916235

36.9

16.89582833457047

3.656213333333333

0.1476256472749004

25.20315

1.489572491522316

5.0

8.436666666666667

0.02081665999432418

6866.333333333333

262.93408552967867

813.868036349269

31.16563637254192

44.199999999999996

21.592344900441717

3.830246666666667

0.009450763637423178

30.520851666666665

1.168742010179422

6.0

9.115

0.021213203435613576

6908.5

294.8635277547903

757.9264947888097

32.34926250738237

57.949999999999996

37.94198779570341

4.13821

0.009630794359768564

30.708282500000003

1.310668380870043

7.0

8.953333333333333

0.46306946923039305

5917.666666666667

376.31679916439526

660.945644080417

42.03091576668599

48.75

24.85143552659842

4.064813333333333

0.21023353903059844

26.304028333333335

1.672728172285737

8.0

8.766666666666666

0.011547005385214871

5887.0

263.83517582005624

671.5209125475286

30.0952672038087

48.79999999999999

24.88882776326044

3.980066666666666

0.005242340444887552

26.167715

1.17274735652015

9.0

8.86

0.056568542495360315

7002.0

213.54624791833734

790.293453724605

24.10228531809677

52.24375

28.489048207071004

4.02244

0.025682118292893585

31.123890000000003

0.9492130719970095

BMC20

7.6766666666666685

0.2937799630108097

4149.333333333333

580.3838959401489

540.512375162831

75.60363386107018

20.0

8.046875

3.4852066666666675

0.13337610320690763

18.443786666666668

2.579806417453962

BMC30

8.502

0.15205262246991133

5545.6

221.39399269175536

652.2700541049164

26.040224969625424

30.0

13.007812500000002

3.8599080000000003

0.06903189060133974

24.650192000000004

0.9840962975148526

BMC40

8.928571428571429

0.22445701677817392

5773.285714285715

592.2175034804122

646.6080000000001

66.32836038980616

40.0

18.593749999999996

4.053571428571429

0.10190348561729097

25.662255000000005

2.632406802970433

% improvment over CPI

TT 1:1

16.349321121555388

23.80694795047481

21.28875801143253

TT4:1

55.26632923596048

2.2358456545257845

1.974709856227265

TTuni

29.975094400257095

24.567255679769204

2.5059183555632596

Level Averages

GL%1

5480.0

GL%2

6482.0

GL%3

6247.0

TT%1

5423.0

TT%2

6026.0

TT%3

6759.0

Ton1

5803.0

Ton2

6022.0

Ton3

6384.0

TT1

6183.0

TTU

6073.0

TT4

5952.0

TT%1

TT%2

TT%3

Ton1

Ton2

Ton3

TT1

TTU

TT4

BMC20

BMC30

BMC40

GL%1

GL%2

GL%3

GL%1

GL%2

GL%3

Ton1

Ton2

Ton3

TT1

TTU

TT4

TT%1

TT%1

TT%2

TT%2

TT%3

TT%3

TT%1

TT%1

TT%2

TT%2

TT%3

TT%3

Ton1

Ton1

Ton2

Ton2

Ton3

Ton3

*****************************************

Anova Results

Source

Df

S

V

F

S'

rho%

-----------

---

---

---

---

----

--------

Glass%

2.0

1645416.0

822708.0

17.07051955956399

27.41

TT%

2.0

2686780.0

1343390.0

27.874246112986224

45.84

Tonnage

2.0

515621.0

257810.5

5.349357466939634

7.42

TwinT

2.0

79864.0

39932.0

0.8285564101145355

0.0

------------

e2

15.0

722920.0

48194.666666666664

19.33

------------

Total

23.0

5650601.0

245678.30434782608

********** Load/Weight Analysis******

Level Averages

BMC20

687.2

BMC30

751.3

BMC40

705.1

25%Prepreg

660.9

50%Prepreg

707.0

75%Prepreg

784.0

TonLow

680.0

TonMed

712.0

TonHigh

759.0

Satin

741.0

Twill

687.0

Uni

723.0

TT%1

TT%2

TT%3

Ton1

Ton2

Ton3

TT1

TTU

TT4

GL%1

GL%2

GL%3

GL%1

618.0

642.0

802.0

GL%2

758.0

704.0

814.0

GL%3

664.0

790.0

661.0

GL%1

618.0

642.0

802.0

GL%2

814.0

758.0

704.0

GL%3

791.0

661.0

664.0

Ton1

Ton2

Ton3

TT1

TTU

TT4

TT%1

TT%1

TT%2

TT%2

TT%3

TT%3

TT%1

TT%1

618.0

661.0

704.0

TT%2

TT%2

814.0

642.0

664.0

TT%3

TT%3

791.0

758.0

802.0

Place data here!

Ton1

Ton1

618.0

758.0

664.0

Ton2

Ton2

791.0

642.0

704.0

Ton3

Ton3

814.0

661.0

802.0

*****************************************

Anova Results with specific load data

Anova Results with average load data

Source

Df

S

V

F

S'

rho%

Source

Df

S

V

F

S'

rho%

-----------

---

---

---

---

----

--------

-----------

---

---

---

---

----

--------

Glass%

2.0

8324.0

4162.0

7.982355197545071

13.69

Glass%

17.07051955956399

27.41

TT%

2.0

23032.0

11516.0

22.086689681626392

41.35

TT%

27.874246112986224

45.84

Tonnage

2.0

9463.0

4731.5

9.074606827771385

18.83

Tonnage

5.349357466939634

7.42

TwinT

2.0

4533.0

2266.5

4.346950517836594

6.56

TwinT

0.8285564101145355

0.0

------------

------------

e2

15.0

7821.0

521.4

19.569999999999993

e2

48194.666666666664

19.33

------------

------------

Total

23.0

53173.0

2311.8695652173915

Total

245678.30434782608

Confirmation RUN

feb 28, 1996

Exp.

CPI

TwinTex

Tonnage

TwinTex

#sheets

Weight

Weight

% TT

Weight

No.

%

%

Tons

Type

TT

TT

CPI

Total

1.0

0.3

0.4444444444444444

1000.0

1:1

2.0

4.0

5.0

44.44444444444444

9.0

2.0

0.3

0.4444444444444444

1000.0

1:1

2.0

4.0

4.9

44.9438202247191

8.9

3.0

0.3

0.4444444444444444

1000.0

1:1

2.0

4.0

4.960000000000001

44.64285714285714

8.96

4.0

0.3

0.6666666666666666

1000.0

1:1

3.0

6.0

3.0199999999999996

66.5188470066519

9.02

5.0

0.3

0.6666666666666666

1000.0

1:1

3.0

6.0

3.039999999999999

66.3716814159292

9.04

7.0

0.3

0.6666666666666666

1000.0

4:1

3.0

6.0

2.8200000000000003

68.02721088435374

8.82

8.0

0.3

0.4444444444444444

1000.0

4:1

2.0

4.0

4.84

45.248868778280546

8.84

9.0

0.3

0.4444444444444444

1000.0

4:1

2.0

4.0

4.92

44.843049327354265

8.92

10.0

0.3

0.2222222222222222

1000.0

4:1

1.0

2.0

5.96

25.125628140703515

7.96

11.0

0.3

0.2222222222222222

1000.0

4:1

1.0

2.0

5.68

26.041666666666668

7.68

15.0

0.3

0.24333333333333332

1000.0

Uni

1.0

2.19

7.210000000000001

23.297872340425528

9.4

16.0

0.3

0.24333333333333332

1000.0

Uni

1.0

2.19

7.130000000000001

23.497854077253216

9.32

17.0

0.3

0.24333333333333332

1000.0

Uni

1.0

2.19

6.770000000000001

24.44196428571428

8.96

19.0

0.3

0.48666666666666664

1000.0

Uni

2.0

4.38

5.3

45.24793388429752

9.68

22.0

0.3

0.48666666666666664

1000.0

Uni

2.0

4.38

5.38

44.87704918032787

9.76

23.0

0.3

0.48666666666666664

1000.0

Uni

2.0

4.38

5.340000000000001

45.06172839506172

9.72

6.0

* reht

0.3

0.6666666666666666

1000.0

4:1

3.0

6.0

2.9000000000000004

67.41573033707866

8.9

12.0

*br

0.3

0.24333333333333332

1000.0

Uni

1.0

2.19

7.15

23.447537473233403

9.34

13.0

*br

0.3

0.24333333333333332

1000.0

Uni

1.0

2.19

7.15

23.447537473233403

9.34

14.0

*br

0.3

0.24333333333333332

1000.0

Uni

1.0

2.19

7.09

23.599137931034484

9.28

18.0

*notst

0.3

0.48666666666666664

1000.0

Uni

2.0

4.38

4.62

48.666666666666664

9.0

20.0

*br

0.3

0.48666666666666664

1000.0

Uni

2.0

4.38

5.38

44.87704918032787

9.76

21.0

*br

0.3

0.48666666666666664

1000.0

Uni

2.0

4.38

5.3999999999999995

44.785276073619634

9.78

Control of CPI Beams

B1

0.3

1000.0

8.88

2.0

0.3

1000.0

8.96

3.0

0.3

1000.0

8.9

4.0

0.3

1000.0

8.94

5.0

0.3

1000.0

9.2

6.0

0.5

1000.0

8.34

D1

0.5

1000.0

9.36

2.0

0.5

1000.0

9.18

4.0

0.5

1000.0

9.2

5.0

0.5

1000.0

9.06

6.0

0.5

1000.0

9.24

8.0

0.5

1000.0

9.2

X1

*br

0.6

1000.0

11.32

2.0

*br

0.6

1000.0

8.86

3.0

*br

0.6

1000.0

11.5

4.0

*br

0.6

1000.0

11.5

6.0

*br

0.6

1000.0

11.56

Exp.

#sheets

Weight

Weight

% TT

Weight

Load

Load/wt

Avg

td Dev

Avg

td Dev

Avg

td Dev

%imp30%

%imp

No.

TT

TT

CPI

Total

lbs

lbs/lbs

Wgt

Wgt

Load

Load

Ld/Ld

Ld/Ld

v.30%

v.50%

1.0

1:1

2.0

4.0

5.0

44.44444444444444

764.7777777777778

8.953333333333333

0.2514367201570894

6651.666666666667

223.91144082725165

742.8496150645027

20.904820282804028

11.205032195284835

6.578137025036256

2.0

1:1

2.0

4.0

4.9

44.9438202247191

723.1460674157303

3.0

1:1

2.0

4.0

4.960000000000001

44.64285714285714

740.6249999999999

4.0

1:1

3.0

6.0

3.0199999999999996

66.5188470066519

695.7871396895788

8.959999999999999

0.9162966331438388

6266.666666666667

38.8501394249212

699.5228097321774

13.29470726423125

4.718983492840927

0.3619526158073735

5.0

1:1

3.0

6.0

3.039999999999999

66.3716814159292

688.495575221239

7.0

4:1

3.0

6.0

2.8200000000000003

68.02721088435374

714.2857142857142

8.0

4:1

2.0

4.0

4.84

45.248868778280546

765.4977375565611

8.879999999999999

0.28695768568617996

6993.0

319.6122650963195

787.4013351459936

30.976364775740816

17.874451369160717

12.97006243127598

9.0

4:1

2.0

4.0

4.92

44.843049327354265

809.3049327354261

10.0

4:1

1.0

2.0

5.96

25.125628140703515

665.8291457286432

7.82

0.647737053536669

5582.5

399.51533137039934

714.7505103643216

69.18525735757582

6.998579395856527

2.546701630462209

11.0

4:1

1.0

2.0

5.68

26.041666666666668

763.671875

15.0

Uni

1.0

2.19

7.210000000000001

23.297872340425528

811.4893617021277

9.226666666666667

0.6110487105595118

6982.0

696.5716043595231

756.9851239395402

76.16557609848516

13.321126338254526

8.60618707884365

16.0

Uni

1.0

2.19

7.130000000000001

23.497854077253216

669.9570815450644

17.0

Uni

1.0

2.19

6.770000000000001

24.44196428571428

789.5089285714284

19.0

Uni

2.0

4.38

5.3

45.24793388429752

810.5371900826447

9.719999999999999

0.1854428753986499

7550.666666666667

257.1873506479826

776.8851395038126

29.168695836171477

16.30017058440309

11.461282568696218

22.0

Uni

2.0

4.38

5.38

44.87704918032787

761.2704918032787

23.0

Uni

2.0

4.38

5.340000000000001

45.06172839506172

758.8477366255144

6.0

4:1

3.0

6.0

2.9000000000000004

67.41573033707866

597.0786516853932

12.0

Uni

1.0

2.19

7.15

23.447537473233403

578.1584582441113

13.0

Uni

1.0

2.19

7.15

23.447537473233403

642.3982869379015

14.0

Uni

1.0

2.19

7.09

23.599137931034484

548.1681034482759

18.0

Uni

2.0

4.38

4.62

48.666666666666664

0.0

20.0

Uni

2.0

4.38

5.38

44.87704918032787

659.016393442623

21.0

Uni

2.0

4.38

5.3999999999999995

44.785276073619634

705.5214723926381


B1

639.6396396396395

8.87

0.28418303960651475

5931.0

511.16337896997277

667.8245242070786

40.46448705859448

2.0

671.4285714285713

3.0

719.5505617977528

4.0

668.5682326621925

5.0

700.3260869565217

6.0

607.4340527577938

D1

683.7606837606838

9.206666666666665

0.09688481133114374

6415.333333333333

267.93108566694656

696.8079003662892

27.932565564322697

2.0

686.7102396514161

4.0

709.1304347826087

5.0

694.5916114790286

6.0

744.4805194805194

8.0

662.1739130434784

X1

463.339222614841

10.948

1.1706921029886426

4685.0

1024.8292540711354

424.52341167405496

62.289987384402586

2.0

349.88713318284425

3.0

452.17391304347825

4.0

490.4347826086956

6.0

366.7820069204152

Confirmation Run Results

v50%

v40%

Matl

Load/wt

%incr

%incr

CPI30

668.0

-4.160688665710186

3.2457496136012365

CPI40

647.0

-7.173601147776183

0.0

CPI50

697.0

0.0

7.727975270479134

1:1(45%)

743.0

6.599713055954089

14.837712519319938

4:1(45%)

787.0

12.91248206599713

21.638330757341574

Uni(45%)

777.0

11.477761836441895

20.09273570324575

4:1(25%)

715.0

2.582496413199426

10.510046367851624

BMC20

BMC20

BMC20

BMC20

BMC30

BMC30

BMC30

BMC30

BMC40

BMC40

BMC40

BMC40

GL%1

GL%1

GL%1

GL%1

GL%2

GL%2

GL%2

GL%2

GL%3

GL%3

GL%3

GL%3

GL%1

GL%1

GL%1

GL%1

GL%2

GL%2

GL%2

GL%2

GL%3

GL%3

GL%3

GL%3

4681.0

5393.0

6367.0

5670.0

6866.0

6909.0

5918.0

5820.0

7002.0

4681.0

5393.0

6367.0

6909.0

5670.0

6866.0

5820.0

7002.0

5918.0

4681.0

5393.0

6367.0

6866.0

6909.0

5670.0

7002.0

5918.0

5820.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

BMC20

BMC20

BMC20

BMC30

BMC30

BMC30

BMC40

BMC40

BMC40

25%Prepreg

25%Prepreg

25%Prepreg

50%Prepreg

50%Prepreg

50%Prepreg

75%Prepreg

75%Prepreg

75%Prepreg

TonLow

TonLow

TonLow

TonMed

TonMed

TonMed

TonHigh

TonHigh

TonHigh

Satin

Satin

Satin

Twill

Twill

Twill

Uni

Uni

Uni

687.2

751.3

705.1

660.9

707.0

784.0

680.0

712.0

759.0

741.0

687.0

723.0

GL%1

GL%1

GL%1

GL%1

GL%1

GL%1

GL%2

GL%2

GL%2

GL%2

GL%2

GL%2

GL%3

GL%3

GL%3

GL%3

GL%3

GL%3

GL%1

GL%1

GL%1

GL%1

GL%1

GL%1

GL%2

GL%2

GL%2

GL%2

GL%2

GL%2

GL%3

GL%3

GL%3

GL%3

GL%3

GL%3

GL%1

GL%1

GL%1

GL%1

GL%1

GL%1

GL%2

GL%2

GL%2

GL%2

GL%2

GL%2

GL%3

GL%3

GL%3

GL%3

GL%3

GL%3

618.0

642.0

802.0

704.0

814.0

758.0

661.0

664.0

791.0

618.0

642.0

802.0

758.0

704.0

814.0

664.0

790.0

661.0

618.0

642.0

802.0

814.0

758.0

704.0

791.0

661.0

664.0

TT%1

TT%1

TT%1

TT%2

TT%2

TT%2

TT%3

TT%3

TT%3

TT%1

TT%1

TT%1

TT%2

TT%2

TT%2

TT%3

TT%3

TT%3

Ton1

Ton1

Ton1

Ton2

Ton2

Ton2

Ton3

Ton3

Ton3

618.0

704.0

661.0

664.0

642.0

814.0

758.0

791.0

802.0

618.0

661.0

704.0

814.0

642.0

664.0

791.0

758.0

802.0

618.0

758.0

664.0

791.0

642.0

704.0

814.0

661.0

802.0

CPI30

CPI40

CPI50

1:1(45%)

4:1(45%)

Uni(45%)

4:1(25%)

668.0

647.0

697.0

743.0

787.0

777.0

715.0

_915880339.xls

Sheet: TTCPIDOE


S.G. CPI 40 (30,20)= 1.19 (1.11,1.03)


S.G. TT (60%)= 1.5; Uni (75%)= 1.78

Joe Greene 1-24-96


Average

sg. PP 45/ 50%=

1.2675

1.345

Beam #

Material....................

:Azdel Plus 7200lbs

weight

load@25

load/wt

Exp

PP%

PP%

Ave wt

S.D. wt

Ave load

S.D. load

Ave sp load

S.D.sp load

TT

CPI%

TT%

Glass%tot

Densit

Glass%

lbs

lbs @25

lbs/lbs

No.

wt%

vol%

lbs

lbs

lbs @25

#@25

lbs @25

#@25

951130-#

wt%

wt%

wt. %

g/cc

vol.%

1-1

1:1

30.4

1.1101582599204802

13.183129336555702

604.1131105398457

1.0

30.666666666666668

13.327847958916168

7.593333333333334

0.1616580753730973

4827.333333333333

155.05267922011478

636.1265924021708

31.30279609699179

1-2

30.8

1.11378346141061

13.4002072700964

666.6666666666666

1-3

30.8

1.11378346141061

13.4002072700964

637.6

2-1

Uni

47.5

1.2895995471911703

23.928116598273668

670.7891637220259

2.0

47.5

23.928116598273665

8.396666666666667

0.14468356276144892

5392.666666666667

304.5231244640312

641.9874118103509

26.727959066044036

2-2

47.5

1.2895995471911703

23.928116598273668

637.1900826446281

2-3

47.5

1.2895995471911703

23.928116598273668

617.9829890643986

3-1

4:1

47.6

1.2908196795612663

24.001178416842293

831.3725490196078

3.0

46.8

23.424855309548505

7.93

0.32526911934583697

6442.0

483.6610383315985

811.7901706137

27.69366512516376

3-2

46.0

1.2715704877776537

22.848532202254713

792.2077922077922

3-3

No material

41.0125


4-1

4:1

36.9

1.1721551418120457

16.89551747377519

672.544080604534

4.0

36.9

16.89582833457047

8.053333333333333

0.32516662395352514

5670.0

335.1119216023208

703.9872761119403

27.869272191322224

4-2

36.599999999999994

1.1691417194347231

16.715073020043306

713.7767220902613

4-3

37.2

1.175184138315212

17.076894509892927

725.6410256410256

5-1

1:1

44.4

1.2528869630248773

21.729758264962715

840.6175771971497

5.0

44.199999999999996

21.592344900441717

8.436666666666667

0.02081665999432418

6866.333333333333

262.93408552967867

813.8696849268621

31.19868627906177

5-2

44.099999999999994

1.2494447582436263

21.523638218181215

821.3947990543735

5-3

44.099999999999994

1.2494447582436263

21.523638218181215

779.5966785290628

6-1

Uni

63.75

1.523631196188247

37.94198779570341

733.8444687842277

6.0

57.949999999999996

37.94198779570341

9.115

0.021213203435613576

6908.5

294.8635277547903

757.96619043607

34.11326590782036

6-2

63.75

1.523631196188247

37.94198779570341

782.0879120879122

6-3

No material

46.349999999999994


7-1

Uni

48.75

1.3050189732941937

24.851435526598415

653.2621589561091

7.0

48.75

24.85143552659842

8.953333333333333

0.46306946923039305

5917.666666666667

376.31679916439526

660.8662978833289

21.246396549327983

7-2

48.75

1.3050189732941937

24.851435526598415

644.4683136412459

7-3

48.75

1.3050189732941937

24.851435526598415

684.8684210526317

8-1

4:1

48.8

1.3056434236464494

24.88882776326044

664.2369020501139

8.0

48.79999999999999

24.88882776326044

8.766666666666666

0.011547005385214871

5887.0

263.83517582005624

671.5264559345129

30.28848575494849

8-2

48.8

1.3056434236464494

24.88882776326044

704.7945205479452

8-3

48.8

1.3056434236464494

24.88882776326044

645.5479452054794

9-1

1:1

53.4

1.3657671050580857

28.489048207071004

776.7573696145124

9.0

52.24375

28.489048207071004

8.86

0.056568542495360315

7002.0

213.54624791833734

790.2326173915259

19.056878162592643

9-2

53.4

1.3657671050580857

28.489048207071004

803.7078651685393

9-3

No material

49.93125


A-1

CPI 20%

496.0212201591512

CPI20%

20.0

8.046875

7.6766666666666685

0.2937799630108097

4149.333333333333

580.3838959401489

539.7295954818359

64.70379146378187

A-2

" "

520.6185567010309

A-3

507.98319327731093

A-4

556.9620253164557

A-5

663.1377551020408

A-6

493.6548223350254

B-1

CPI 30%

596.4530892448513

CPI30%

30.0

13.007812500000002

8.502

0.15205262246991133

5545.6

221.39399269175536

652.7440400541993

35.92608393327893

B-2

641.4719626168223

B-3

689.5734597156398

B-4

672.488038277512

B-5

663.7336504161713

C-1

CPI 40%

618.3516483516484

CPI40%

40.0

18.593749999999996

8.928571428571429

0.22445701677817392

5773.285714285715

592.2175034804122

666.8427901107257

26.223224830596834

C-2

691.7204301075268

C-3

684.757505773672

C-4

662.840909090909

C-5

678.173719376392

C-6

665.2125279642058

C-7

522.1330275229358

C-8

639.1752577319588

Metric Equivalent

Beam #

Material....................

Mass

load@25

Ave Mas

S.D. Mass

Ave load

S.D. ld

TT

CPI%

TT%

kg

kN @25mm

kg

kg

kN @25mm

#@25

951130-#

1-1

1:1

20.0

26.0

30.4

3.5321200000000004

20.8915

3.4473733333333336

0.07339276621938617

21.457496666666668

70.39391636593211

1-2

20.0

27.0

30.8

3.4050000000000002

22.225

1-3

20.0

27.0

30.8

3.4050000000000002

21.25599

2-1

Uni

20.0

50.0

47.5

3.8544600000000004

25.314275000000002

3.8120866666666666

0.06568633749369782

23.970403333333337

138.25349850667016

2-2

20.0

50.0

47.5

3.8453800000000005

23.989665000000002

2-3

20.0

50.0

47.5

3.7364200000000003

22.60727

3-1

4:1

20.0

69.0

47.6

3.7046400000000004

30.154880000000002

3.60022

0.14767218018300998

28.634690000000003

219.58211140254573

3-2

20.0

65.0

46.0

3.4958

27.1145

3-3

No material

41.0125

4-1

4:1

30.0

23.0

36.9

3.60476

23.736300000000004

3.656213333333333

0.1476256472749004

25.20315

152.14081240745367

4-2

30.0

22.0

36.599999999999994

3.82268

26.71445

4-3

30.0

24.0

37.2

3.5412

25.1587

5-1

1:1

30.0

48.0

44.4

3.82268

31.461710000000004

3.830246666666667

0.009450763637423178

30.520851666666665

119.37207483047412

5-2

30.0

47.0

44.099999999999994

3.8408400000000005

30.888305

5-3

30.0

47.0

44.099999999999994

3.82722

29.21254

6-1

Uni

30.0

75.0

63.75

4.145020000000001

29.781500000000005

4.13821

0.009630794359768564

30.708282500000003

133.86804160067481

6-2

30.0

75.0

63.75

4.1314

31.635065

6-3

No material

46.349999999999994

7-1

Uni

40.0

25.0

48.75

3.82722

24.478615

4.064813333333333

0.21023353903059844

26.304028333333335

170.84782682063545

7-2

40.0

25.0

48.75

4.22674

26.67

7-3

40.0

25.0

48.75

4.14048

27.76347

8-1

4:1

40.0

44.0

48.8

3.9861199999999997

25.92324

3.980066666666666

0.005242340444887552

26.167715

119.78116982230553

8-2

40.0

44.0

48.8

3.97704

27.44343

8-3

40.0

44.0

48.8

3.97704

25.136475

9-1

1:1

40.0

67.0

53.4

4.0042800000000005

30.452695000000002

4.02244

0.025682118292893585

31.123890000000003

96.94999655492515

9-2

40.0

67.0

53.4

4.0406

31.795085000000004

9-3

No material

A-1

CPI 20%

3.42316

16.624299999999998

3.4852066666666675

0.13337610320690763

18.443786666666668

263.49428875682764

A-2

" "

3.52304

17.957800000000002

A-3

3.2415599999999998

16.122015

A-4

3.5866000000000002

19.558

A-5

3.55936

23.109555

A-6

3.5775200000000003

17.291050000000002

B-1

CPI 30%

3.96796

23.171785

3.8599080000000003

0.06903189060133974

24.650192000000004

100.51287268205694

B-2

3.8862400000000004

24.407495000000004

B-3

3.83176

25.8699

B-4

3.7954399999999997

24.98979

B-5

3.81814

24.81199

C-1

CPI 40%

4.1314

25.012015

4.053571428571429

0.10190348561729097

25.662255000000005

268.8667465801072

C-2

4.222200000000001

28.594685000000002

C-3

3.9316400000000002

26.358850000000004

C-4

3.9952000000000005

25.927685

C-5

4.07692

27.070050000000002

C-6

4.0587599999999995

26.434415

C-7

3.9588800000000006

20.238085

C-8

4.4037999999999995

27.559

*****************Graph Results**************

Exp

Ave wt

S.D. wt

Ave load

S.D. load

load/wt

Glass

Glass

Ave wt

S.D. wt

Ave load

S.D. load

No.

lbs

lbs

lbs @25

lbs @25

Ave

St. Dev

wt.%

vol%

kg

kg

kN

N

1.0

7.593333333333334

0.1616580753730973

4827.333333333333

155.05267922011478

635.7330992098331

20.41958023091942

30.666666666666668

13.327847958916168

3.4473733333333336

0.07339276621938617

21.457496666666668

0.6892091591334103

2.0

8.396666666666667

0.14468356276144892

5392.666666666667

304.5231244640312

642.2389837236999

36.267144636446744

47.5

23.928116598273665

3.8120866666666666

0.06568633749369782

23.970403333333337

1.3536052882426186

3.0

7.93

0.32526911934583697

6442.0

483.6610383315985

812.3581336696091

60.99130369881444

46.8

23.424855309548505

3.60022

0.14767218018300998

28.634690000000003

2.1498733153839553

4.0

8.053333333333333

0.32516662395352514

5670.0

335.1119216023208

704.0562913907286

41.61157966916235

36.9

16.89582833457047

3.656213333333333

0.1476256472749004

25.20315

1.489572491522316

5.0

8.436666666666667

0.02081665999432418

6866.333333333333

262.93408552967867

813.868036349269

31.16563637254192

44.199999999999996

21.592344900441717

3.830246666666667

0.009450763637423178

30.520851666666665

1.168742010179422

6.0

9.115

0.021213203435613576

6908.5

294.8635277547903

757.9264947888097

32.34926250738237

57.949999999999996

37.94198779570341

4.13821

0.009630794359768564

30.708282500000003

1.310668380870043

7.0

8.953333333333333

0.46306946923039305

5917.666666666667

376.31679916439526

660.945644080417

42.03091576668599

48.75

24.85143552659842

4.064813333333333

0.21023353903059844

26.304028333333335

1.672728172285737

8.0

8.766666666666666

0.011547005385214871

5887.0

263.83517582005624

671.5209125475286

30.0952672038087

48.79999999999999

24.88882776326044

3.980066666666666

0.005242340444887552

26.167715

1.17274735652015

9.0

8.86

0.056568542495360315

7002.0

213.54624791833734

790.293453724605

24.10228531809677

52.24375

28.489048207071004

4.02244

0.025682118292893585

31.123890000000003

0.9492130719970095

BMC20

7.6766666666666685

0.2937799630108097

4149.333333333333

580.3838959401489

540.512375162831

75.60363386107018

20.0

8.046875

3.4852066666666675

0.13337610320690763

18.443786666666668

2.579806417453962

BMC30

8.502

0.15205262246991133

5545.6

221.39399269175536

652.2700541049164

26.040224969625424

30.0

13.007812500000002

3.8599080000000003

0.06903189060133974

24.650192000000004

0.9840962975148526

BMC40

8.928571428571429

0.22445701677817392

5773.285714285715

592.2175034804122

646.6080000000001

66.32836038980616

40.0

18.593749999999996

4.053571428571429

0.10190348561729097

25.662255000000005

2.632406802970433


TT 1:1

16.349321121555388

23.80694795047481

21.28875801143253

TT4:1

55.26632923596048

2.2358456545257845

1.974709856227265

TTuni

29.975094400257095

24.567255679769204

2.5059183555632596

Level Averages

GL%1

5480.0

GL%2

6482.0

GL%3

6247.0

TT%1

5423.0

TT%2

6026.0

TT%3

6759.0

Ton1

5803.0

Ton2

6022.0

Ton3

6384.0

TT1

6183.0

TTU

6073.0

TT4

5952.0

TT%1

TT%2

TT%3

Ton1

Ton2

Ton3

TT1

TTU

TT4

BMC20

BMC30

BMC40

GL%1

GL%2

GL%3

GL%1

GL%2

GL%3

Ton1

Ton2

Ton3

TT1

TTU

TT4

TT%1

TT%1

TT%2

TT%2

TT%3

TT%3

TT%1

TT%1

TT%2

TT%2

TT%3

TT%3

Ton1

Ton1

Ton2

Ton2

Ton3

Ton3

*****************************************

Anova Results

Source

Df

S

V

F

S'

rho%

-----------

---

---

---

---

----

--------

Glass%

2.0

1645416.0

822708.0

17.07051955956399

27.41

TT%

2.0

2686780.0

1343390.0

27.874246112986224

45.84

Tonnage

2.0

515621.0

257810.5

5.349357466939634

7.42

TwinT

2.0

79864.0

39932.0

0.8285564101145355

0.0

------------

e2

15.0

722920.0

48194.666666666664

19.33

------------

Total

23.0

5650601.0

245678.30434782608

********** Load/Weight Analysis******

Level Averages

BMC20

687.2

BMC30

751.3

BMC40

705.1

25%Prepreg

660.9

50%Prepreg

707.0

75%Prepreg

784.0

TonLow

680.0

TonMed

712.0

TonHigh

759.0

Satin

741.0

Twill

687.0

Uni

723.0

TT%1

TT%2

TT%3

Ton1

Ton2

Ton3

TT1

TTU

TT4

GL%1

GL%2

GL%3

GL%1

618.0

642.0

802.0

GL%2

758.0

704.0

814.0

GL%3

664.0

790.0

661.0

GL%1

618.0

642.0

802.0

GL%2

814.0

758.0

704.0

GL%3

791.0

661.0

664.0

Ton1

Ton2

Ton3

TT1

TTU

TT4

TT%1

TT%1

TT%2

TT%2

TT%3

TT%3

TT%1

TT%1

618.0

661.0

704.0

TT%2

TT%2

814.0

642.0

664.0

TT%3

TT%3

791.0

758.0

802.0

Place data here!

Ton1

Ton1

618.0

758.0

664.0

Ton2

Ton2

791.0

642.0

704.0

Ton3

Ton3

814.0

661.0

802.0

*****************************************

Anova Results with specific load data

Anova Results with average load data

Source

Df

S

V

F

S'

rho%

Source

Df

S

V

F

S'

rho%

-----------

---

---

---

---

----

--------

-----------

---

---

---

---

----

--------

Glass%

2.0

8324.0

4162.0

7.982355197545071

13.69

Glass%

17.07051955956399

27.41

TT%

2.0

23032.0

11516.0

22.086689681626392

41.35

TT%

27.874246112986224

45.84

Tonnage

2.0

9463.0

4731.5

9.074606827771385

18.83

Tonnage

5.349357466939634

7.42

TwinT

2.0

4533.0

2266.5

4.346950517836594

6.56

TwinT

0.8285564101145355

0.0

------------

------------

e2

15.0

7821.0

521.4

19.569999999999993

e2

48194.666666666664

19.33

------------

------------

Total

23.0

53173.0

2311.8695652173915

Total

245678.30434782608

Confirmation RUN

feb 28, 1996

Exp.

CPI

TwinTex

Tonnage

TwinTex

#sheets

Weight

Weight

% TT

Weight

No.

%

%

Tons

Type

TT

TT

CPI

Total

1.0

0.3

0.4444444444444444

1000.0

1:1

2.0

4.0

5.0

44.44444444444444

9.0

2.0

0.3

0.4444444444444444

1000.0

1:1

2.0

4.0

4.9

44.9438202247191

8.9

3.0

0.3

0.4444444444444444

1000.0

1:1

2.0

4.0

4.960000000000001

44.64285714285714

8.96

4.0

0.3

0.6666666666666666

1000.0

1:1

3.0

6.0

3.0199999999999996

66.5188470066519

9.02

5.0

0.3

0.6666666666666666

1000.0

1:1

3.0

6.0

3.039999999999999

66.3716814159292

9.04

7.0

0.3

0.6666666666666666

1000.0

4:1

3.0

6.0

2.8200000000000003

68.02721088435374

8.82

8.0

0.3

0.4444444444444444

1000.0

4:1

2.0

4.0

4.84

45.248868778280546

8.84

9.0

0.3

0.4444444444444444

1000.0

4:1

2.0

4.0

4.92

44.843049327354265

8.92

10.0

0.3

0.2222222222222222

1000.0

4:1

1.0

2.0

5.96

25.125628140703515

7.96

11.0

0.3

0.2222222222222222

1000.0

4:1

1.0

2.0

5.68

26.041666666666668

7.68

15.0

0.3

0.24333333333333332

1000.0

Uni

1.0

2.19

7.210000000000001

23.297872340425528

9.4

16.0

0.3

0.24333333333333332

1000.0

Uni

1.0

2.19

7.130000000000001

23.497854077253216

9.32

17.0

0.3

0.24333333333333332

1000.0

Uni

1.0

2.19

6.770000000000001

24.44196428571428

8.96

19.0

0.3

0.48666666666666664

1000.0

Uni

2.0

4.38

5.3

45.24793388429752

9.68

22.0

0.3

0.48666666666666664

1000.0

Uni

2.0

4.38

5.38

44.87704918032787

9.76

23.0

0.3

0.48666666666666664

1000.0

Uni

2.0

4.38

5.340000000000001

45.06172839506172

9.72

6.0

* reht

0.3

0.6666666666666666

1000.0

4:1

3.0

6.0

2.9000000000000004

67.41573033707866

8.9

12.0

*br

0.3

0.24333333333333332

1000.0

Uni

1.0

2.19

7.15

23.447537473233403

9.34

13.0

*br

0.3

0.24333333333333332

1000.0

Uni

1.0

2.19

7.15

23.447537473233403

9.34

14.0

*br

0.3

0.24333333333333332

1000.0

Uni

1.0

2.19

7.09

23.599137931034484

9.28

18.0

*notst

0.3

0.48666666666666664

1000.0

Uni

2.0

4.38

4.62

48.666666666666664

9.0

20.0

*br

0.3

0.48666666666666664

1000.0

Uni

2.0

4.38

5.38

44.87704918032787

9.76

21.0

*br

0.3

0.48666666666666664

1000.0

Uni

2.0

4.38

5.3999999999999995

44.785276073619634

9.78


B1

0.3

1000.0

8.88

2.0

0.3

1000.0

8.96

3.0

0.3

1000.0

8.9

4.0

0.3

1000.0

8.94

5.0

0.3

1000.0

9.2

6.0

0.5

1000.0

8.34

D1

0.5

1000.0

9.36

2.0

0.5

1000.0

9.18

4.0

0.5

1000.0

9.2

5.0

0.5

1000.0

9.06

6.0

0.5

1000.0

9.24

8.0

0.5

1000.0

9.2

X1

*br

0.6

1000.0

11.32

2.0

*br

0.6

1000.0

8.86

3.0

*br

0.6

1000.0

11.5

4.0

*br

0.6

1000.0

11.5

6.0

*br

0.6

1000.0

11.56

Exp.

#sheets

Weight

Weight

% TT

Weight

Load

Load/wt

Avg

td Dev

Avg

td Dev

Avg

td Dev

%imp30%

%imp

No.

TT

TT

CPI

Total

lbs

lbs/lbs

Wgt

Wgt

Load

Load

Ld/Ld

Ld/Ld

v.30%

v.50%

1.0

1:1

2.0

4.0

5.0

44.44444444444444

764.7777777777778

8.953333333333333

0.2514367201570894

6651.666666666667

223.91144082725165

742.8496150645027

20.904820282804028

11.205032195284835

6.578137025036256

2.0

1:1

2.0

4.0

4.9

44.9438202247191

723.1460674157303

3.0

1:1

2.0

4.0

4.960000000000001

44.64285714285714

740.6249999999999

4.0

1:1

3.0

6.0

3.0199999999999996

66.5188470066519

695.7871396895788

8.959999999999999

0.9162966331438388

6266.666666666667

38.8501394249212

699.5228097321774

13.29470726423125

4.718983492840927

0.3619526158073735

5.0

1:1

3.0

6.0

3.039999999999999

66.3716814159292

688.495575221239

7.0

4:1

3.0

6.0

2.8200000000000003

68.02721088435374

714.2857142857142

8.0

4:1

2.0

4.0

4.84

45.248868778280546

765.4977375565611

8.879999999999999

0.28695768568617996

6993.0

319.6122650963195

787.4013351459936

30.976364775740816

17.874451369160717

12.97006243127598

9.0

4:1

2.0

4.0

4.92

44.843049327354265

809.3049327354261

10.0

4:1

1.0

2.0

5.96

25.125628140703515

665.8291457286432

7.82

0.647737053536669

5582.5

399.51533137039934

714.7505103643216

69.18525735757582

6.998579395856527

2.546701630462209

11.0

4:1

1.0

2.0

5.68

26.041666666666668

763.671875

15.0

Uni

1.0

2.19

7.210000000000001

23.297872340425528

811.4893617021277

9.226666666666667

0.6110487105595118

6982.0

696.5716043595231

756.9851239395402

76.16557609848516

13.321126338254526

8.60618707884365

16.0

Uni

1.0

2.19

7.130000000000001

23.497854077253216

669.9570815450644

17.0

Uni

1.0

2.19

6.770000000000001

24.44196428571428

789.5089285714284

19.0

Uni

2.0

4.38

5.3

45.24793388429752

810.5371900826447

9.719999999999999

0.1854428753986499

7550.666666666667

257.1873506479826

776.8851395038126

29.168695836171477

16.30017058440309

11.461282568696218

22.0

Uni

2.0

4.38

5.38

44.87704918032787

761.2704918032787

23.0

Uni

2.0

4.38

5.340000000000001

45.06172839506172

758.8477366255144

6.0

4:1

3.0

6.0

2.9000000000000004

67.41573033707866

597.0786516853932

12.0

Uni

1.0

2.19

7.15

23.447537473233403

578.1584582441113

13.0

Uni

1.0

2.19

7.15

23.447537473233403

642.3982869379015

14.0

Uni

1.0

2.19

7.09

23.599137931034484

548.1681034482759

18.0

Uni

2.0

4.38

4.62

48.666666666666664

0.0

20.0

Uni

2.0

4.38

5.38

44.87704918032787

659.016393442623

21.0

Uni

2.0

4.38

5.3999999999999995

44.785276073619634

705.5214723926381


B1

639.6396396396395

8.87

0.28418303960651475

5931.0

511.16337896997277

667.8245242070786

40.46448705859448

2.0

671.4285714285713

3.0

719.5505617977528

4.0

668.5682326621925

5.0

700.3260869565217

6.0

607.4340527577938

D1

683.7606837606838

9.206666666666665

0.09688481133114374

6415.333333333333

267.93108566694656

696.8079003662892

27.932565564322697

2.0

686.7102396514161

4.0

709.1304347826087

5.0

694.5916114790286

6.0

744.4805194805194

8.0

662.1739130434784

X1

463.339222614841

10.948

1.1706921029886426

4685.0

1024.8292540711354

424.52341167405496

62.289987384402586

2.0

349.88713318284425

3.0

452.17391304347825

4.0

490.4347826086956

6.0

366.7820069204152

Confirmation Run Results

v50%

v40%

Matl

Load/wt

%incr

%incr

CPI30

668.0

-4.160688665710186

3.2457496136012365

CPI40

647.0

-7.173601147776183

0.0

CPI50

697.0

0.0

7.727975270479134

1:1(45%)

743.0

6.599713055954089

14.837712519319938

4:1(45%)

787.0

12.91248206599713

21.638330757341574

Uni(45%)

777.0

11.477761836441895

20.09273570324575

4:1(25%)

715.0

2.582496413199426

10.510046367851624

BMC20

BMC20

BMC20

BMC20

BMC30

BMC30

BMC30

BMC30

BMC40

BMC40

BMC40

BMC40

GL%1

GL%1

GL%1

GL%1

GL%2

GL%2

GL%2

GL%2

GL%3

GL%3

GL%3

GL%3

GL%1

GL%1

GL%1

GL%1

GL%2

GL%2

GL%2

GL%2

GL%3

GL%3

GL%3

GL%3

4681.0

5393.0

6367.0

5670.0

6866.0

6909.0

5918.0

5820.0

7002.0

4681.0

5393.0

6367.0

6909.0

5670.0

6866.0

5820.0

7002.0

5918.0

4681.0

5393.0

6367.0

6866.0

6909.0

5670.0

7002.0

5918.0

5820.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

BMC20

BMC20

BMC20

BMC30

BMC30

BMC30

BMC40

BMC40

BMC40

25%Prepreg

25%Prepreg

25%Prepreg

50%Prepreg

50%Prepreg

50%Prepreg

75%Prepreg

75%Prepreg

75%Prepreg

TonLow

TonLow

TonLow

TonMed

TonMed

TonMed

TonHigh

TonHigh

TonHigh

Satin

Satin

Satin

Twill

Twill

Twill

Uni

Uni

Uni

687.2

751.3

705.1

660.9

707.0

784.0

680.0

712.0

759.0

741.0

687.0

723.0

GL%1

GL%1

GL%1

GL%1

GL%1

GL%1

GL%2

GL%2

GL%2

GL%2

GL%2

GL%2

GL%3

GL%3

GL%3

GL%3

GL%3

GL%3

GL%1

GL%1

GL%1

GL%1

GL%1

GL%1

GL%2

GL%2

GL%2

GL%2

GL%2

GL%2

GL%3

GL%3

GL%3

GL%3

GL%3

GL%3

GL%1

GL%1

GL%1

GL%1

GL%1

GL%1

GL%2

GL%2

GL%2

GL%2

GL%2

GL%2

GL%3

GL%3

GL%3

GL%3

GL%3

GL%3

618.0

642.0

802.0

704.0

814.0

758.0

661.0

664.0

791.0

618.0

642.0

802.0

758.0

704.0

814.0

664.0

790.0

661.0

618.0

642.0

802.0

814.0

758.0

704.0

791.0

661.0

664.0

TT%1

TT%1

TT%1

TT%2

TT%2

TT%2

TT%3

TT%3

TT%3

TT%1

TT%1

TT%1

TT%2

TT%2

TT%2

TT%3

TT%3

TT%3

Ton1

Ton1

Ton1

Ton2

Ton2

Ton2

Ton3

Ton3

Ton3

618.0

704.0

661.0

664.0

642.0

814.0

758.0

791.0

802.0

618.0

661.0

704.0

814.0

642.0

664.0

791.0

758.0

802.0

618.0

758.0

664.0

791.0

642.0

704.0

814.0

661.0

802.0

CPI30

CPI40

CPI50

1:1(45%)

4:1(45%)

Uni(45%)

4:1(25%)

668.0

647.0

697.0

743.0

787.0

777.0

715.0

_915880366.xls

Sheet: TTCPIDOE


S.G. CPI 40 (30,20)= 1.19 (1.11,1.03)


S.G. TT (60%)= 1.5; Uni (75%)= 1.78

Joe Greene 1-24-96


Average

sg. PP 45/ 50%=

1.2675

1.345

Beam #

Material....................

:Azdel Plus 7200lbs

weight

load@25

load/wt

Exp

PP%

PP%

Ave wt

S.D. wt

Ave load

S.D. load

Ave sp load

S.D.sp load

TT

CPI%

TT%

Glass%tot

Densit

Glass%

lbs

lbs @25

lbs/lbs

No.

wt%

vol%

lbs

lbs

lbs @25

#@25

lbs @25

#@25

951130-#

wt%

wt%

wt. %

g/cc

vol.%

1-1

1:1

30.4

1.1101582599204802

13.183129336555702

604.1131105398457

1.0

30.666666666666668

13.327847958916168

7.593333333333334

0.1616580753730973

4827.333333333333

155.05267922011478

636.1265924021708

31.30279609699179

1-2

30.8

1.11378346141061

13.4002072700964

666.6666666666666

1-3

30.8

1.11378346141061

13.4002072700964

637.6

2-1

Uni

47.5

1.2895995471911703

23.928116598273668

670.7891637220259

2.0

47.5

23.928116598273665

8.396666666666667

0.14468356276144892

5392.666666666667

304.5231244640312

641.9874118103509

26.727959066044036

2-2

47.5

1.2895995471911703

23.928116598273668

637.1900826446281

2-3

47.5

1.2895995471911703

23.928116598273668

617.9829890643986

3-1

4:1

47.6

1.2908196795612663

24.001178416842293

831.3725490196078

3.0

46.8

23.424855309548505

7.93

0.32526911934583697

6442.0

483.6610383315985

811.7901706137

27.69366512516376

3-2

46.0

1.2715704877776537

22.848532202254713

792.2077922077922

3-3

No material

41.0125


4-1

4:1

36.9

1.1721551418120457

16.89551747377519

672.544080604534

4.0

36.9

16.89582833457047

8.053333333333333

0.32516662395352514

5670.0

335.1119216023208

703.9872761119403

27.869272191322224

4-2

36.599999999999994

1.1691417194347231

16.715073020043306

713.7767220902613

4-3

37.2

1.175184138315212

17.076894509892927

725.6410256410256

5-1

1:1

44.4

1.2528869630248773

21.729758264962715

840.6175771971497

5.0

44.199999999999996

21.592344900441717

8.436666666666667

0.02081665999432418

6866.333333333333

262.93408552967867

813.8696849268621

31.19868627906177

5-2

44.099999999999994

1.2494447582436263

21.523638218181215

821.3947990543735

5-3

44.099999999999994

1.2494447582436263

21.523638218181215

779.5966785290628

6-1

Uni

63.75

1.523631196188247

37.94198779570341

733.8444687842277

6.0

57.949999999999996

37.94198779570341

9.115

0.021213203435613576

6908.5

294.8635277547903

757.96619043607

34.11326590782036

6-2

63.75

1.523631196188247

37.94198779570341

782.0879120879122

6-3

No material

46.349999999999994


7-1

Uni

48.75

1.3050189732941937

24.851435526598415

653.2621589561091

7.0

48.75

24.85143552659842

8.953333333333333

0.46306946923039305

5917.666666666667

376.31679916439526

660.8662978833289

21.246396549327983

7-2

48.75

1.3050189732941937

24.851435526598415

644.4683136412459

7-3

48.75

1.3050189732941937

24.851435526598415

684.8684210526317

8-1

4:1

48.8

1.3056434236464494

24.88882776326044

664.2369020501139

8.0

48.79999999999999

24.88882776326044

8.766666666666666

0.011547005385214871

5887.0

263.83517582005624

671.5264559345129

30.28848575494849

8-2

48.8

1.3056434236464494

24.88882776326044

704.7945205479452

8-3

48.8

1.3056434236464494

24.88882776326044

645.5479452054794

9-1

1:1

53.4

1.3657671050580857

28.489048207071004

776.7573696145124

9.0

52.24375

28.489048207071004

8.86

0.056568542495360315

7002.0

213.54624791833734

790.2326173915259

19.056878162592643

9-2

53.4

1.3657671050580857

28.489048207071004

803.7078651685393

9-3

No material

49.93125


A-1

CPI 20%

496.0212201591512

CPI20%

20.0

8.046875

7.6766666666666685

0.2937799630108097

4149.333333333333

580.3838959401489

539.7295954818359

64.70379146378187

A-2

" "

520.6185567010309

A-3

507.98319327731093

A-4

556.9620253164557

A-5

663.1377551020408

A-6

493.6548223350254

B-1

CPI 30%

596.4530892448513

CPI30%

30.0

13.007812500000002

8.502

0.15205262246991133

5545.6

221.39399269175536

652.7440400541993

35.92608393327893

B-2

641.4719626168223

B-3

689.5734597156398

B-4

672.488038277512

B-5

663.7336504161713

C-1

CPI 40%

618.3516483516484

CPI40%

40.0

18.593749999999996

8.928571428571429

0.22445701677817392

5773.285714285715

592.2175034804122

666.8427901107257

26.223224830596834

C-2

691.7204301075268

C-3

684.757505773672

C-4

662.840909090909

C-5

678.173719376392

C-6

665.2125279642058

C-7

522.1330275229358

C-8

639.1752577319588

Metric Equivalent

Beam #

Material....................

Mass

load@25

Ave Mas

S.D. Mass

Ave load

S.D. ld

TT

CPI%

TT%

kg

kN @25mm

kg

kg

kN @25mm

#@25

951130-#

1-1

1:1

20.0

26.0

30.4

3.5321200000000004

20.8915

3.4473733333333336

0.07339276621938617

21.457496666666668

70.39391636593211

1-2

20.0

27.0

30.8

3.4050000000000002

22.225

1-3

20.0

27.0

30.8

3.4050000000000002

21.25599

2-1

Uni

20.0

50.0

47.5

3.8544600000000004

25.314275000000002

3.8120866666666666

0.06568633749369782

23.970403333333337

138.25349850667016

2-2

20.0

50.0

47.5

3.8453800000000005

23.989665000000002

2-3

20.0

50.0

47.5

3.7364200000000003

22.60727

3-1

4:1

20.0

69.0

47.6

3.7046400000000004

30.154880000000002

3.60022

0.14767218018300998

28.634690000000003

219.58211140254573

3-2

20.0

65.0

46.0

3.4958

27.1145

3-3

No material

41.0125

4-1

4:1

30.0

23.0

36.9

3.60476

23.736300000000004

3.656213333333333

0.1476256472749004

25.20315

152.14081240745367

4-2

30.0

22.0

36.599999999999994

3.82268

26.71445

4-3

30.0

24.0

37.2

3.5412

25.1587

5-1

1:1

30.0

48.0

44.4

3.82268

31.461710000000004

3.830246666666667

0.009450763637423178

30.520851666666665

119.37207483047412

5-2

30.0

47.0

44.099999999999994

3.8408400000000005

30.888305

5-3

30.0

47.0

44.099999999999994

3.82722

29.21254

6-1

Uni

30.0

75.0

63.75

4.145020000000001

29.781500000000005

4.13821

0.009630794359768564

30.708282500000003

133.86804160067481

6-2

30.0

75.0

63.75

4.1314

31.635065

6-3

No material

46.349999999999994

7-1

Uni

40.0

25.0

48.75

3.82722

24.478615

4.064813333333333

0.21023353903059844

26.304028333333335

170.84782682063545

7-2

40.0

25.0

48.75

4.22674

26.67

7-3

40.0

25.0

48.75

4.14048

27.76347

8-1

4:1

40.0

44.0

48.8

3.9861199999999997

25.92324

3.980066666666666

0.005242340444887552

26.167715

119.78116982230553

8-2

40.0

44.0

48.8

3.97704

27.44343

8-3

40.0

44.0

48.8

3.97704

25.136475

9-1

1:1

40.0

67.0

53.4

4.0042800000000005

30.452695000000002

4.02244

0.025682118292893585

31.123890000000003

96.94999655492515

9-2

40.0

67.0

53.4

4.0406

31.795085000000004

9-3

No material

A-1

CPI 20%

3.42316

16.624299999999998

3.4852066666666675

0.13337610320690763

18.443786666666668

263.49428875682764

A-2

" "

3.52304

17.957800000000002

A-3

3.2415599999999998

16.122015

A-4

3.5866000000000002

19.558

A-5

3.55936

23.109555

A-6

3.5775200000000003

17.291050000000002

B-1

CPI 30%

3.96796

23.171785

3.8599080000000003

0.06903189060133974

24.650192000000004

100.51287268205694

B-2

3.8862400000000004

24.407495000000004

B-3

3.83176

25.8699

B-4

3.7954399999999997

24.98979

B-5

3.81814

24.81199

C-1

CPI 40%

4.1314

25.012015

4.053571428571429

0.10190348561729097

25.662255000000005

268.8667465801072

C-2

4.222200000000001

28.594685000000002

C-3

3.9316400000000002

26.358850000000004

C-4

3.9952000000000005

25.927685

C-5

4.07692

27.070050000000002

C-6

4.0587599999999995

26.434415

C-7

3.9588800000000006

20.238085

C-8

4.4037999999999995

27.559

*****************Graph Results**************

Exp

Ave wt

S.D. wt

Ave load

S.D. load

load/wt

Glass

Glass

Ave wt

S.D. wt

Ave load

S.D. load

No.

lbs

lbs

lbs @25

lbs @25

Ave

St. Dev

wt.%

vol%

kg

kg

kN

N

1.0

7.593333333333334

0.1616580753730973

4827.333333333333

155.05267922011478

635.7330992098331

20.41958023091942

30.666666666666668

13.327847958916168

3.4473733333333336

0.07339276621938617

21.457496666666668

0.6892091591334103

2.0

8.396666666666667

0.14468356276144892

5392.666666666667

304.5231244640312

642.2389837236999

36.267144636446744

47.5

23.928116598273665

3.8120866666666666

0.06568633749369782

23.970403333333337

1.3536052882426186

3.0

7.93

0.32526911934583697

6442.0

483.6610383315985

812.3581336696091

60.99130369881444

46.8

23.424855309548505

3.60022

0.14767218018300998

28.634690000000003

2.1498733153839553

4.0

8.053333333333333

0.32516662395352514

5670.0

335.1119216023208

704.0562913907286

41.61157966916235

36.9

16.89582833457047

3.656213333333333

0.1476256472749004

25.20315

1.489572491522316

5.0

8.436666666666667

0.02081665999432418

6866.333333333333

262.93408552967867

813.868036349269

31.16563637254192

44.199999999999996

21.592344900441717

3.830246666666667

0.009450763637423178

30.520851666666665

1.168742010179422

6.0

9.115

0.021213203435613576

6908.5

294.8635277547903

757.9264947888097

32.34926250738237

57.949999999999996

37.94198779570341

4.13821

0.009630794359768564

30.708282500000003

1.310668380870043

7.0

8.953333333333333

0.46306946923039305

5917.666666666667

376.31679916439526

660.945644080417

42.03091576668599

48.75

24.85143552659842

4.064813333333333

0.21023353903059844

26.304028333333335

1.672728172285737

8.0

8.766666666666666

0.011547005385214871

5887.0

263.83517582005624

671.5209125475286

30.0952672038087

48.79999999999999

24.88882776326044

3.980066666666666

0.005242340444887552

26.167715

1.17274735652015

9.0

8.86

0.056568542495360315

7002.0

213.54624791833734

790.293453724605

24.10228531809677

52.24375

28.489048207071004

4.02244

0.025682118292893585

31.123890000000003

0.9492130719970095

BMC20

7.6766666666666685

0.2937799630108097

4149.333333333333

580.3838959401489

540.512375162831

75.60363386107018

20.0

8.046875

3.4852066666666675

0.13337610320690763

18.443786666666668

2.579806417453962

BMC30

8.502

0.15205262246991133

5545.6

221.39399269175536

652.2700541049164

26.040224969625424

30.0

13.007812500000002

3.8599080000000003

0.06903189060133974

24.650192000000004

0.9840962975148526

BMC40

8.928571428571429

0.22445701677817392

5773.285714285715

592.2175034804122

646.6080000000001

66.32836038980616

40.0

18.593749999999996

4.053571428571429

0.10190348561729097

25.662255000000005

2.632406802970433


TT 1:1

16.349321121555388

23.80694795047481

21.28875801143253

TT4:1

55.26632923596048

2.2358456545257845

1.974709856227265

TTuni

29.975094400257095

24.567255679769204

2.5059183555632596

Level Averages

GL%1

5480.0

GL%2

6482.0

GL%3

6247.0

TT%1

5423.0

TT%2

6026.0

TT%3

6759.0

Ton1

5803.0

Ton2

6022.0

Ton3

6384.0

TT1

6183.0

TTU

6073.0

TT4

5952.0

TT%1

TT%2

TT%3

Ton1

Ton2

Ton3

TT1

TTU

TT4

BMC20

BMC30

BMC40

GL%1

GL%2

GL%3

GL%1

GL%2

GL%3

Ton1

Ton2

Ton3

TT1

TTU

TT4

TT%1

TT%1

TT%2

TT%2

TT%3

TT%3

TT%1

TT%1

TT%2

TT%2

TT%3

TT%3

Ton1

Ton1

Ton2

Ton2

Ton3

Ton3

*****************************************

Anova Results

Source

Df

S

V

F

S'

rho

design of experiments and taguchi experimental design

Documents

effect factor

levels operator

levels high

levels b1

number of factors

total number of experiments

production problems

levels a1