WSU Determine The Behavior Of Materials Analytical Review I would like to get a lab report for Materials laboratory, I will upload the lab manual and the d

WSU Determine The Behavior Of Materials Analytical Review I would like to get a lab report for Materials laboratory, I will upload the lab manual and the data and the report guideline. all required info is on the attached files. See all the required info and follow them. ME220 – Mechanics of Materials Laboratory
TEST TITLE: Torsion Test Report
NAME:
This report is due by midnight Thursday, July 30
(refer to lab manual pp. 48-60)
1. Summary (1/12) (The summary should be succinct (limited to one page), but contain
the following four pieces of information, namely, the purpose of the experiment;
experimental methods; results; and conclusion.)
2. Results (612)
Carry out the following steps for A36 steel.
a. Tabulate the results according to the following format.
T (in-lb)
? (radian)
?r (psi)
dT/d?
?r (in/in)
(plastic
region only)
b. Plot T vs ? .
c. Plot T vs ? in the plastic region leaving out the elastic part of the data, and fit the
data by the power law relation, i.e. T = a? b . Include the determined curve fitting relation
in the plot. From the curve fitting relation, dT / d? can be determined as
dT / d? = (ab)? b ?1
d. Plot ?r vs ?r.
e. Show some sample calculations.
f. Determine the material properties:
1. Shearing proportional limit
2. Yield strength at an offset of 0.2%
2
3. Shearing modulus of rupture
4. Modulus of rigidity
5. Modulus of resilience
3. Question (4/12)
a. Let the tensile stress in a tension test be ? and the shear stress in a torsion test
be ?. Draw a stress Mohr circle for each test (let the specimen axis, i.e. longitudinal
direction, be x-axis and the transverse direction be y-axis) and express both the
maximum principal stress (?max) and the maximum shear stress (?max) in terms of
? (for tension test) or ? (for torsion test). Mark the x-axis on the Mohr’s circle.
Also indicate the directions of ?max and ?max with respect the x-axis for each case.
Refer to your CE215 textbook.
b. Briefly explain the maximum shear stress theory for ductile failure, e.g. A36 steel;
and the maximum normal stress theory for brittle failure, e.g. cast iron. Refer to
your CE215 textbook.
c. Compare the orientations of the fracture surfaces of A36 steel and cast iron and
explain your observations in terms of your answers to questions (a) and (b).
d. The (ultimate) tensile strength of a brittle material (has little plastic deformation) is
30,000 psi. A torque is applied to a ¼ inch diameter cylindrical bar made of the
same brittle material. Estimate the amount of torque that is needed to fracture this
bar. Sketch the orientation of the fracture surface. (Refer to a, b, and c and your
CE215 textbook).
4. Conclusion (1/12)
3
27271
1947.93 5.410913 NO Load readings
(Gear Teeth) (Degrees) (Revolution) Load Cell
Excitation
0.006712 10.583726
load slope
5889946.885
Angular
Load Cell
Displacement Voltage
(Gear Teeth)
(Volts)
0 0.006316
14 0.006775
28 0.007084
42 0.007344
56 0.007555
70 0.007810
84 0.008023
98 0.008241
112 0.008429
126 0.008620
140 0.008830
154 0.009100
168 0.009358
182 0.009600
196 0.009841
210 0.010056
224 0.010294
238 0.010544
252 0.010774
266 0.010984
280 0.011172
294 0.011362
308 0.011451
322 0.011507
336 0.011550
350 0.011582
364 0.011637
378 0.011661
392 0.011662
406 0.011663
420 0.011674
434 0.011696
448 0.011710
462 0.011711
476 0.011716
490 0.011711
504 0.011722
518 0.011732
532 0.011740
546 0.011730
560 0.011725
574 0.011733
Excitation
Voltage
(Volts)
10.584193
10.584193
10.584206
10.584225
10.584200
10.584219
10.584200
10.584219
10.584219
10.584206
10.584212
10.584225
10.584212
10.584200
10.584212
10.584200
10.584212
10.584206
10.584206
10.584187
10.584206
10.584200
10.584225
10.584225
10.584193
10.584200
10.584200
10.584219
10.584231
10.584244
10.584225
10.584225
10.584225
10.584244
10.584219
10.584238
10.584231
10.584231
10.584263
10.584263
10.584269
10.584257
Load Cell
Angular
Torque
Displacement
(in-Lbs)
(Degrees)
-220
0.00
35
1.00
207
2.00
351
3.00
469
4.00
611
5.00
730
6.00
851
7.00
956
8.00
1062
9.00
1179
10.00
1329
11.00
1472
12.00
1607
13.00
1741
14.00
1861
15.00
1993
16.00
2132
17.00
2260
18.00
2377
19.00
2482
20.00
2587
21.00
2637
22.00
2668
23.00
2692
24.00
2710
25.00
2740
26.00
2754
27.00
2755
28.00
2755
29.00
2761
30.00
2774
31.00
2781
32.00
2782
33.00
2785
34.00
2782
35.00
2788
36.00
2793
37.00
2798
38.00
2792
39.00
2789
40.00
2794
41.00
Use gears 2,2 up to 90 degrees
Then use gears 2, 4 after 90 deg
588
602
616
630
644
658
672
686
700
714
728
742
756
770
784
798
812
826
840
854
868
882
896
910
924
938
952
966
980
994
1008
1022
1036
1050
1064
1078
1092
1106
1120
1134
1148
1162
1176
1190
1204
1218
1232
1246
1260
1288
1316
1344
0.011725
0.011743
0.011735
0.011739
0.011739
0.011752
0.011776
0.011769
0.011803
0.011825
0.011862
0.011894
0.011919
0.011953
0.011980
0.012008
0.012041
0.012067
0.012083
0.012112
0.012133
0.012172
0.012192
0.012204
0.012229
0.012258
0.012300
0.012306
0.012332
0.012366
0.012384
0.012418
0.012438
0.012456
0.012479
0.012508
0.012543
0.012559
0.012571
0.012604
0.012627
0.012660
0.012673
0.012699
0.012716
0.012736
0.012766
0.012783
0.012807
0.012922
0.012966
0.012996
10.584263
10.584276
10.584257
10.584263
10.584263
10.584263
10.584282
10.584288
10.584288
10.584250
10.584263
10.584276
10.584282
10.584301
10.584301
10.584295
10.584276
10.584301
10.584288
10.584295
10.584276
10.584295
10.584282
10.584288
10.584288
10.584282
10.584314
10.584295
10.584288
10.584333
10.584314
10.584320
10.584288
10.584301
10.584295
10.584326
10.584307
10.584307
10.584314
10.584314
10.584358
10.584326
10.584345
10.584339
10.584352
10.584352
10.584333
10.584320
10.584326
10.584364
10.584345
10.584364
2789
2800
2795
2797
2797
2805
2818
2814
2833
2845
2866
2883
2898
2916
2931
2947
2966
2980
2989
3005
3017
3038
3049
3056
3070
3086
3109
3113
3127
3146
3156
3175
3186
3196
3209
3225
3245
3254
3260
3279
3291
3310
3317
3332
3341
3352
3369
3378
3392
3455
3480
3497
42.00
43.00
44.00
45.00
46.00
47.00
48.00
49.00
50.00
51.00
52.00
53.00
54.00
55.00
56.00
57.00
58.00
59.00
60.00
61.00
62.00
63.00
64.00
65.00
66.00
67.00
68.00
69.00
70.00
71.00
72.00
73.00
74.00
75.00
76.00
77.00
78.00
79.00
80.00
81.00
82.00
83.00
84.00
85.00
86.00
87.00
88.00
89.00
90.00
92.00
94.00
96.00
1372
1400
1428
1456
1484
1512
1540
1568
1596
1624
1652
1680
1708
1736
1764
1792
1820
1848
1876
1904
1932
1960
1988
2016
2044
2072
2100
2128
2156
2184
2212
2240
2268
2296
2324
2352
2380
2408
2436
2464
2492
2520
2548
2576
2604
2632
2660
2688
2716
2744
2772
2800
0.013035
0.013062
0.013101
0.013138
0.013173
0.013218
0.013245
0.013275
0.013315
0.013353
0.013390
0.013408
0.013451
0.013481
0.013517
0.013549
0.013574
0.013605
0.013636
0.013666
0.013699
0.013718
0.013750
0.013789
0.013809
0.013833
0.013856
0.013883
0.013910
0.013942
0.013975
0.013996
0.014020
0.014054
0.014074
0.014095
0.014115
0.014149
0.014166
0.014192
0.014220
0.014228
0.014254
0.014270
0.014288
0.014320
0.014343
0.014359
0.014375
0.014406
0.014435
0.014448
10.584364
10.584358
10.584358
10.584390
10.584383
10.584383
10.584358
10.584358
10.584371
10.584383
10.584377
10.584352
10.584358
10.584352
10.584383
10.584364
10.584352
10.584371
10.584402
10.584390
10.584377
10.584371
10.584371
10.584396
10.584383
10.584364
10.584390
10.584383
10.584396
10.584383
10.584409
10.584377
10.584371
10.584396
10.584377
10.584371
10.584390
10.584396
10.584402
10.584409
10.584383
10.584409
10.584390
10.584371
10.584383
10.584383
10.584396
10.584371
10.584409
10.584390
10.584396
10.584396
3518
3534
3555
3576
3595
3620
3635
3652
3674
3695
3716
3726
3750
3767
3787
3804
3818
3836
3853
3869
3888
3899
3916
3938
3949
3963
3975
3990
4005
4023
4041
4053
4067
4085
4097
4108
4119
4138
4148
4162
4178
4182
4197
4206
4216
4233
4246
4255
4264
4281
4297
4305
98.00
100.00
102.00
104.00
106.00
108.00
110.00
112.00
114.00
116.00
118.00
120.00
122.00
124.00
126.00
128.00
130.00
132.00
134.00
136.00
138.00
140.00
142.00
144.00
146.00
148.00
150.00
152.00
154.00
156.00
158.00
160.00
162.00
164.00
166.00
168.00
170.00
172.00
174.00
176.00
178.00
180.00
182.00
184.00
186.00
188.00
190.00
192.00
194.00
196.00
198.00
200.00
2828
2856
2884
2912
2940
2968
2996
3024
3052
3080
3108
3136
3164
3192
3220
3248
3276
3304
3332
3360
3388
3416
3444
3472
3500
3528
3556
3584
3612
3640
3668
3696
3724
3752
3780
3808
3836
3864
3892
3920
3948
3976
4004
4032
4060
4088
4116
4144
4172
4200
4228
4256
0.014471
0.014491
0.014504
0.014534
0.014543
0.014564
0.014579
0.014604
0.014628
0.014644
0.014660
0.014683
0.014702
0.014723
0.014738
0.014752
0.014773
0.014787
0.014819
0.014828
0.014836
0.014854
0.014879
0.014890
0.014905
0.014915
0.014920
0.014941
0.014958
0.014980
0.014983
0.014998
0.015012
0.015040
0.015040
0.015049
0.015072
0.015076
0.015095
0.015105
0.015125
0.015131
0.015146
0.015162
0.015171
0.015188
0.015198
0.015218
0.015230
0.015243
0.015247
0.015263
10.584383
10.584402
10.584377
10.584396
10.584383
10.584421
10.584383
10.584409
10.584409
10.584415
10.584421
10.584421
10.584453
10.584409
10.584428
10.584428
10.584421
10.584428
10.584428
10.584428
10.584409
10.584415
10.584409
10.584409
10.584390
10.584402
10.584447
10.584409
10.584421
10.584428
10.584415
10.584421
10.584434
10.584428
10.584434
10.584459
10.584428
10.584465
10.584447
10.584453
10.584465
10.584428
10.584453
10.584447
10.584472
10.584440
10.584447
10.584484
10.584459
10.584465
10.584484
10.584484
4318
4328
4336
4353
4357
4369
4377
4392
4405
4414
4423
4435
4446
4458
4466
4474
4486
4493
4511
4516
4520
4531
4544
4551
4559
4565
4567
4579
4589
4601
4602
4611
4619
4634
4634
4639
4652
4654
4665
4670
4681
4685
4693
4702
4707
4716
4722
4733
4740
4747
4749
4758
202.00
204.00
206.00
208.00
210.00
212.00
214.00
216.00
218.00
220.00
222.00
224.00
226.00
228.00
230.00
232.00
234.00
236.00
238.00
240.00
242.00
244.00
246.00
248.00
250.00
252.00
254.00
256.00
258.00
260.00
262.00
264.00
266.00
268.00
270.00
272.00
274.00
276.00
278.00
280.00
282.00
284.00
286.00
288.00
290.00
292.00
294.00
296.00
298.00
300.00
302.00
304.00
4284
4312
4340
4368
4396
4424
4452
4480
4508
4536
4564
4592
4620
4648
4676
4704
4732
4760
4788
4816
4844
4872
4900
4928
4956
4984
5012
5040
5068
5096
5124
5152
5180
5208
5236
5264
5292
5320
5348
5376
5404
5432
5460
5488
5516
5544
5572
5600
5628
5656
5684
5712
0.015273
0.015295
0.015306
0.015311
0.015323
0.015326
0.015351
0.015363
0.015370
0.015388
0.015397
0.015413
0.015419
0.015423
0.015439
0.015454
0.015471
0.015487
0.015490
0.015492
0.015507
0.015539
0.015541
0.015548
0.015563
0.015575
0.015588
0.015598
0.015606
0.015606
0.015630
0.015647
0.015655
0.015667
0.015672
0.015695
0.015708
0.015714
0.015713
0.015719
0.015740
0.015758
0.015755
0.015751
0.015757
0.015771
0.015788
0.015784
0.015783
0.015786
0.015807
0.015813
10.584465
10.584440
10.584478
10.584453
10.584465
10.584453
10.584465
10.584465
10.584447
10.584459
10.584465
10.584453
10.584478
10.584440
10.584465
10.584465
10.584497
10.584472
10.584459
10.584459
10.584465
10.584478
10.584484
10.584478
10.584465
10.584465
10.584472
10.584465
10.584478
10.584459
10.584472
10.584453
10.584453
10.584472
10.584453
10.584465
10.584472
10.584484
10.584478
10.584484
10.584478
10.584472
10.584484
10.584465
10.584453
10.584465
10.584484
10.584472
10.584497
10.584465
10.584491
10.584453
4764
4776
4782
4785
4792
4793
4807
4814
4818
4828
4833
4842
4845
4847
4856
4864
4874
4883
4884
4886
4894
4912
4913
4917
4925
4932
4939
4944
4949
4949
4962
4972
4977
4983
4986
4999
5006
5009
5009
5012
5024
5034
5032
5030
5033
5041
5050
5048
5048
5049
5061
5064
306.00
308.00
310.00
312.00
314.00
316.00
318.00
320.00
322.00
324.00
326.00
328.00
330.00
332.00
334.00
336.00
338.00
340.00
342.00
344.00
346.00
348.00
350.00
352.00
354.00
356.00
358.00
360.00
362.00
364.00
366.00
368.00
370.00
372.00
374.00
376.00
378.00
380.00
382.00
384.00
386.00
388.00
390.00
392.00
394.00
396.00
398.00
400.00
402.00
404.00
406.00
408.00
5740
5768
5796
5824
5852
5880
5908
5936
5964
5992
6020
6048
6076
6104
6132
6160
6188
6216
6244
6272
6300
6328
6356
6384
6412
6440
6468
6496
6524
6552
6580
6608
6636
6664
6692
6720
6748
6776
6804
6832
6860
6888
6916
6944
6972
7000
7028
7056
7084
7112
7140
7168
0.015828
0.015828
0.015834
0.015858
0.015878
0.015881
0.015873
0.015893
0.015889
0.015905
0.015917
0.015923
0.015917
0.015926
0.015948
0.015948
0.015953
0.015963
0.015976
0.015983
0.015991
0.015999
0.016003
0.016005
0.016017
0.016022
0.016025
0.016037
0.016034
0.016050
0.016049
0.016051
0.016064
0.016056
0.016062
0.016075
0.016064
0.016078
0.016086
0.016102
0.016090
0.016103
0.016116
0.016111
0.016129
0.016123
0.016114
0.016131
0.016126
0.016143
0.016159
0.016151
10.584472
10.584478
10.584491
10.584472
10.584491
10.584465
10.584472
10.584478
10.584465
10.584478
10.584491
10.584484
10.584503
10.584472
10.584440
10.584453
10.584484
10.584472
10.584465
10.584497
10.584472
10.584478
10.584478
10.584459
10.584484
10.584478
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