EASC 1112 UNH Relative Displacement Controlled Tensile Test Worksheet

Content Type

User Generated

User

nmnmr3

Subject

Engineering

Course

EASC 1112

School

University of New Haven

Department

EASC

Description

Follow the instructions that is in the word document i have attached

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Read chapter 3 in Larsen’s book, understand the Key Terms listed on page 167 and include in your notes. Pay particular attention to the section on stress-strain relationships (page 157). You will be held responsible for understanding this engineering material, so do some self-assessment or discuss with your peers to build understanding. Also note the discussion of error bars – they are often used in many areas of science and engineering to indicate uncertainty. Software tools, like Excel, allow us to make plots very easily and quickly. However, the software does not have the ability to exercise judgement in choosing the proper type of plot and settings to convey the desired message. Thus the focus in EASC1112 is on helping you develop the knowledge and skill to make a good data display, not the mechanics of using Excel. Excel defaults for plots are usually not acceptable – follow the guidelines. Do the following problems from chapter 3, noting the specific instructions in this memo: 1. Refer to problem 3.1 in the book, but use the data in the file “EASC1112_TensileTestData.txt” rather than the data given in the problem. Note that there is an error in the book – the column labels “Stress” and “Strain” are reversed. The left column is strain (units shown are correct). References: EASC1112TensileStressTest_Comments.pdf (more details about how to do this problem). a. Import the data from this text file using the method described on page 161, section 3.8. b. The data in the file is in “raw” form, as taken from a tensile stress test machine. Convert the position data to values of strain by subtracting the initial position from each point and dividing this difference by the original length. Convert the force data to values of stress (force divided by sample cross sectional area) and convert to metric units (Pa, or kPa). c. Plot the full data set as stress vs strain and identify the linear region (make a judgement) d. Make a second plot of only the data in the linear region and determine Young’s Modulus of Elasticity e. Identify the most likely sample material by comparing your results to those given in the properties table of problem 3.1 In your conclusion, summarize how you selected the range of data to use for the elastic region. Comment on why you believe the sample material is what you identified. NOTE: When printing problem 1 DO NOT print the entire data table. Submit a single page which shows several rows of data (10 to 20) along with your plots and other analysis. You will need to move the data down so that your results and conclusions appear on the first page. 2. Problem 3.3 – Pressure Transducer Calibration with a sealed manometer – variation Complete this problem, with the following modifications and instructions: – For the first data point, use a manometer reading of 19.4 mm (not zero) – Use the sealed manometer equation from chapter 1 (page 45-46) to find pressure – Convert the pressure to units of atmospheres – note that the measured P is absolute – In addition to the calibration table and graph, determine a calibration equation to calculate pressure (atm) from a value of the transducer signal (mA), show the equation clearly with appropriate constants entered into cells and labeled – Set up a small table and use the calibration equation to determine the pressures at the following transducer signals (mA values): 8, 12, 16 and 20. In your conclusion, consider the question of cause and effect in this problem. You obtained an equation that can be used with the transducer to determine the pressure from a measured current signal. This equation appears to show pressure as a function of current. In a physical sense, which is the independent variable and which is the dependent variable? Explain your answer. Some Additional Comments on Plotting: When making plots DO NOT connect data points with straight lines. Show real data as symbols with no lines. Use a trend line, if the circumstances warrant it. Remember that a trendline is often a better representation since the actual data has error or noise. A properly determined trend line will eliminate the random noise. Calculated values should generally be shown as a line or smooth curve without showing the individual points. This is because the calculated values are generally at arbitrary values of the independent variable and will follow a smooth curve or straight line – they are the graphical representation of a function. Follow the guidelines for homework as presented in unit 1 – including the organization of your spreadsheets.
Purchase answer to see full attachment

Tags: stress strain curve relative displacement Elastic Modulus Controlled Tensile Test tensile strength test machine

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Explanation & Answer

Hi,Thank you for your patience. I have completed the report to the best of my abilities. Please see the attached file and check if everything is in order.For the density, I assumed it to be motor oil with a density of 880 kg/m3. I actually found your book (Engineering with Excel by Larsen) and got it there.If there's anything you wish for me to add or change, please let me know so I can work on it right away!If everything is good, feel free to leave an honest review!Thanks once again and I wish you the best of luck! 😊

Tensile Test Data

A sample substance was tested using a tensile strength test machine. The sample was subjected to
continuously increasing force while monitoring displacement. A stress-strain curve was created using
the data and the elastic region was identified. A straight line was fitted to this region. The slope was
assumed to be the elastic modulus.

Relative Displacement Controlled Tensile Test
Test Started : 11/14/2006 12:58:36 PM
0.5in Max 0.002 in/sec
Length
in
0.984

Time
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
5.5
6
6.5
7
7.5
8
8.5
9
9.5
10
10.5
11
11.5
12
12.5
13
13.5
14
14.5
15

Diameter
in
0.335

m
0.008509

Load
lbf
N
-11.421442
0
224.44903 998.349285
615.37443 2737.18546
986.78765 4389.23147
1379.8898 6137.74983
1760.1543 7829.16633
2137.6192
9508.1302
2480.0002 11031.0409
2824.4662 12563.2257
3176.2492 14127.9564
3519.594 15655.1541
3877.6319 17247.7067
4217.528 18759.5645
4562.9709 20296.0946
4920.5302 21886.5183
5260.7016 23399.6007
5592.4676 24875.2959
5922.5486 26343.4962
6235.7269 27736.5133
6533.3335 29060.2674
6823.5181 30351.0085
7096.2558 31564.1458
7337.4961 32637.1827
7557.749 33616.8676
7749.4154 34469.3997
7923.1105 35241.9955
8073.3202 35910.1282
8212.8952 36530.9578
8330.7812 37055.3148
8433.607 37512.6839
8530.6499 37944.3308

Area
m2
5.6865E-05

Position Displacement
in
in
-0.00107285
-0.00102308 4.9778E-05
-0.00086069 0.00021217
-0.00072373 0.00034912
-0.00055973 0.00051312
-0.00041263 0.00066023
-0.00025045 0.00082241
-0.00014435 0.00092851
1.67E-05 0.00108952
0.0001496 0.00122245
0.00027315
0.001346
0.00041864
0.0014915
0.00055404
0.0016269
0.00069513 0.00176799
0.00082455
0.0018974
0.00098049 0.00205334
0.00112486 0.00219772
0.00124665 0.00231951
0.00138857 0.00246142
0.0015357 0.00260855
0.0017073 0.00278015
0.00186358 0.00293644
0.00204498 0.00311783
0.00227208 0.00334493
0.00245288 0.00352574
0.00267945 0.00375231
0.00288338 0.00395623
0.00312332 0.00419617
0.00340691 0.00447976
0.00361506 0.00468791
0.00390938 0.00498224

Page 1

Material

Modulus
Gpa

Mg Alloy
Al Alloy
Ag
Ti Alloy
Pt
SS

45
70
71
110
170
200

Stress
Pa

Stress-Strain

0
0.0175564
0.04813459
0.07718654
0.10793499
0.13767928
0.16720459
0.19398563
0.22092977
0.24844623
0.27530267
0.30330839
0.32989507
0.35691562
0.38488391
0.41149212
0.43744285
0.46326179
0.4877586
0.51103739
0.53373563
0.55506918
0.573939
0.59116718
0.60615933
0.61974576
0.63149516
0.64241272
0.65163376
0.6596768
0.66726749

0
5.05874E-05
0.000215615
0.000354798
0.000521465
0.000670962
0.000835782
0.000943604
0.001107231
0.001242329
0.001367889
0.001515747
0.00165335
0.001796735
0.001928256
0.002086727
0.002233451
0.002357222
0.002501442
0.00265097
0.002825358
0.002984185
0.003168529
0.003399318
0.003583067
0.003813319
0.004020558
0.004264403
0.004552606
0.004764137
0.00506325

Tensile Test Data
15.5
16
16.5
17
17.5
18
18.5
19
19.5
20
20.5
21
21.5
22
22.5
23
23.5
24
24.5
25
25.5
26
26.5
27
27.5
28
28.5
29
29.5
30
30.5
31
31.5
32
32.5
33
33.5
34
34.5
35
35.5
36
36.5
37
37.5
38
38.5
39
39.5
40
40.5

8604.9286
8676.9781
8739.2453
8799.9652
8856.0299
8907.9706
8951.6173
8996.2671
9034.9833
9073.3389
9112.9205
9147.3291
9178.2299
9211.9501
9246.9094
9278.7347
9307.9767
9337.8613
9363.7661
9390.9363
9421.3585
9445.4471
9472.178
9497.6369
9522.3287
9550.5021
9578.1836
9596.7386
9617.7784
9642.8505
9667.1817
9685.8874
9710.612
9731.1011
9755.1176
9776.4853
9800.2854
9811.897
9833.704
9858.9203
9882.15
9897.689
9912.192
9937.4477
9956.809
9970.9186
9994.0762
10010.992
10028.059
10045.499
10061.753

38274.7224
38595.1986
38872.1631
39142.2452
39391.621
39622.6532
39816.7938
40015.3961
40187.6057
40358.2114
40534.2704
40687.3198
40824.7666
40974.754
41130.253
41271.8119
41401.8804
41534.8071
41650.0316
41770.8847
41906.2026
42013.3487
42132.2477
42245.4889
42355.3181
42480.6333
42603.7607
42686.2933
42779.8783
42891.399
42999.6242
43082.8272
43192.8022
43283.9377
43390.7631
43485.8066
43591.6695
43643.3179
43740.3154
43852.4775
43955.8032
44024.9207
44089.43
44201.7674
44287.8864
44350.6459
44453.6509
44528.8924
44604.8064
44682.3796
44754.6773

0.00416335
0.00441274
0.00469305
0.00498567
0.0052702
0.00554423
0.00586079
0.00612649
0.0064332
0.00668505
0.00701416
0.00730356
0.00756046
0.00789809
0.00818191
0.00841998
0.00874147
0.00903181
0.00933317
0.00959031
0.00989244
0.01017333
0.0104568
0.01074403
0.01106693
0.01136759
0.01163047
0.01190128
0.01218358
0.01252677
0.01278678
0.01308246
0.01333267
0.01363462
0.01389756
0.01422867
0.01449995
0.01482654
0.0150436
0.01536175
0.01565197
0.01594594
0.01622314
0.01649353
0.01681039
0.01713282
0.01737822
0.01769595
0.01794147
0.01826894
0.01857864

Page 2

0.0052362
0.00548559
0.0057659
0.00605853
0.00634306
0.00661708
0.00693365
0.00719934
0.00750605
0.0077579
0.00808702
0.00837642
0.00863332
0.00897094
0.00925477
0.00949283
0.00981432
0.01010466
0.01040603
0.01066316
0.01096529
0.01124618
0.01152966
0.01181689
0.01213978
0.01244045
0.01270333
0.01297413
0.01325643
0.01359963
0.01385963
0.01415531
0.01440552
0.01470748
0.01497042
0.01530153
0.0155728
0.01589939
0.01611646
0.0164346
0.01672482
0.0170188
0.017296
0.01756639
0.01788324
0.01820567
0.01845107
0.01876881
0.01901432
0.0193418
0.01965149

0.67307757
0.67871329
0.68358383
0.68833334
0.69271872
0.69678152
0.70019557
0.70368807
0.70671646
0.70971663
0.7128127
0.71550415
0.71792121
0.7205588
0.72329332
0.72578269
0.72807
0.73040758
0.73243385
0.7345591
0.73693873
0.73882294
0.74091383
0.74290522
0.74483662
0.74704034
0.74920559
0.75065696
0.75230269
0.75426383
0.75616702
0.75763018
0.75956414
0.7611668
0.76304537
0.76471675
0.76657839
0.76748665
0.76919239
0.77116481
0.77298184
0.7741973
0.77533173
0.77730723
0.77882167
0.77992532
0.78173671
0.78305986
0.78439484
0.785759
0.78703039

0.005...