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"Determination of Compressive Strength by the Immediate Untrained Tori Axial Test" paper argues that the main objective of a triaxial test was to determine the Mohr envelope for the soil sample, from which the cohesion and angle shearing resistance can be established from the envelope…
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Extract of sample "Determination of Compressive Strength by the Immediate Untrained Tori Axial Test"
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Course
Date
Tutor
Determination of compressive strength by the immediate undrained triaxial test
The triaxial test is done in a cell and it allows water to flow in or out of the sample in a controlled manner (Fang, 1997). Therefore, it can used to measure the undrained and drained shear strength of test samples. The angle of shearing resistance of the soil and the apparent cohesion are obtained by measuring the minimum and maximum stresses at failure. This is done by increasing the axial and vertical stress until the sample fails depending on different axial and lateral stress. The drainage condition of a sample will affect the results. The drainage is prevented in undrained test (Fang, 1997; Preene, 2012).
Aparatus
(a) Constant rate of strain compression testing machine (set at 1.5mm per minute)
(b) Triaxial cell for 38mm diameter samples complete with solid end caps, rubber sheaths and O-rings
(c) Extruding apparatus, sample former and sheath expander
(d) Moisture content tins
Triaxial cell and the arrangement of triaxial cell in load frame
Method
The experiment began with preparation of three 38 mm diameter samples. The rubber sheath was then fitted over the sample using sheath expander. The rubber sheath was secured by placing O-rings in the required position. The cell cover was then placed, before adjusting the machine until cell plunge id closed to the top platen and the cell was filled with water until it escape through the cell bleed valve, which is also closed and the cell pressure was increased to 138kN/m2. The motor drive was engaged and the machine was run until the proving ring dial starts to move. The machine was stopped, the strain dial gauge set to zero, and the stress dial gauge se to 2 divisions. The motor was started and the stress dial gauge was recorded at an interval of 0.50 mm strain until it fails. It is assumed that failure has occurred if there is no decrease for three consecutive reading. Before winding up the experiment, motor was stopped, the cell pressure released, bleed valve opened, and water was allowed to drained from the cell and finally emptying the cell. Also, the sample was removed, the failure sketched, and moisture content determined. The test was also done on the other two samples with lateral pressure of 276 and 414 kN/m2.
Calculations and results
Undrained triaxial test on soil
Test 1
Test 2
Test 3
Rate of strain (mm/min)
1.5
1.5
1.5
Cell pressure (kN/m2)
138
276
414
Proving ring factor (kN/div)
0.00121
0.000719
0.00121
1. The moisture content for the samples
Test Number
Tin Number
Tin weight
Wet +Tin
Dry + Tin
1
39
15.47
199.15
173.64
2
49
10.19
190.26
165.08
3
98
25.88
208.43
183.94
Container number
39
49
98
Mass of wet soil +container (m2) g
199.15g
190.26g
208.43g
Mass of dry soil +container (m3) g
173.64g
165.08
183.94g
Mass of the container (m1)
15.47g
10.19g
25.88g
Mass of moisture (m2-m3) g
25.51g
25.18g
24.49g
Mass of dry soil (m3-m1) g
158.17g
154.89g
158.06g
Moisture content,
16.13%
16.26%
15.49%
2. Deviator stress =
1st Deviator stress =
2nd Deviator stress =etc
The table showing the deviator stress is shown below
Test 1
Strain (%)
Strain (dia. 0.002mm)
Stress (dia. 0.002mm)
Load (kN)
Area (mm2)
Deviator stress (kN/m2)
0
0
0
0
1133
0
50
25
7.8571E-11
1141
26.5118317
100
35
1.1E-10
1149
36.8581375
150
40
1.2571E-10
1157
41.832325
4
200
52
1.6343E-10
1164
54.0549828
250
57
1.7914E-10
1172
58.8481229
300
62
1.9486E-10
1181
63.5224386
6
350
65
2.0429E-10
1189
66.1480235
400
69
2.1686E-10
1197
69.7493734
450
72
2.2629E-10
1206
72.238806
8
500
75
2.3571E-10
1214
74.752883
550
78
2.4514E-10
1223
77.1708913
600
80
2.5143E-10
1232
78.5714286
10
650
82
2.5771E-10
1241
79.9516519
700
85
2.6714E-10
1250
82.28
750
88
2.7657E-10
1259
84.5750596
12
800
88
2.7657E-10
1269
83.9085894
850
90
2.8286E-10
1278
85.2112676
900
92
2.8914E-10
1288
86.4285714
14
950
95
2.9857E-10
1298
88.559322
1000
96
3.0171E-10
1308
88.8073394
1050
97
3.0486E-10
1318
89.0515933
16
1100
98
3.08E-10
1328
89.2921687
1150
100
3.1429E-10
1339
90.3659447
1200
103
3.2371E-10
1350
92.3185185
18
1250
105
3.3E-10
1360
93.4191176
1300
107
3.3629E-10
1371
94.4347192
1350
108
3.3943E-10
1382
94.5586107
20
1400
110
3.4571E-10
1394
95.4806313
1450
111
3.4886E-10
1405
95.594306
1500
113
3.5514E-10
1417
96.49259
Test 2
Strain (%)
Strain (dia. 0.002mm)
Stress (dia. 0.002mm)
Load (kN)
Area (mm2)
Deviator stress (kN/m2)
0
0
0
0
1133
0
50
82
2.5771E-10
1141
51.6722174
100
95
2.9857E-10
1149
59.4473455
150
103
3.2371E-10
1157
64.0077787
4
200
110
3.4571E-10
1164
67.9467354
250
115
3.6143E-10
1172
70.5503413
300
121
3.8029E-10
1181
73.6655377
6
350
126
3.96E-10
1189
76.1934399
400
131
4.1171E-10
1197
78.6875522
450
136
4.2743E-10
1206
81.0812604
8
500
140
4.4E-10
1214
82.9159802
550
144
4.5257E-10
1223
84.6573998
600
147
4.62E-10
1232
85.7897727
10
650
150
4.7143E-10
1241
86.9057212
700
153
4.8086E-10
1250
88.0056
750
156
4.9029E-10
1259
89.0897538
12
800
159
4.9971E-10
1269
90.0874704
850
161
5.06E-10
1278
90.5782473
900
163
5.1229E-10
1288
90.9914596
14
950
166
5.2171E-10
1298
91.9522342
1000
169
5.3114E-10
1308
92.898318
1050
172
5.4057E-10
1318
93.8300455
16
1100
174
5.4686E-10
1328
94.2063253
1150
176
5.5314E-10
1339
94.506348
1200
177
5.5629E-10
1350
94.2688889
18
1250
178
5.5943E-10
1360
94.1044118
1300
182
5.72E-10
1371
95.4471189
1350
186
5.8457E-10
1382
96.7684515
20
1400
191
6.0029E-10
1394
98.5143472
1450
192
6.0343E-10
1405
98.2548043
1500
193
6.0657E-10
1417
97.9301341
A graph of deviator stress against the strain
Test 3
Strain (%)
Strain (dia. 0.002mm)
Stress (dia. 0.002mm)
Load (kN)
Area (mm2)
Deviator stress (kN/m2)
0
0
0
0
1133
0
50
37
1.1629E-10
1141
39.237511
100
45
1.4143E-10
1149
47.3890339
150
52
1.6343E-10
1157
54.3820225
4
200
56
1.76E-10
1164
58.2130584
250
60
1.8857E-10
1172
61.9453925
300
63
1.98E-10
1181
64.5469941
6
350
67
2.1057E-10
1189
68.1833474
400
70
2.2E-10
1197
70.7602339
450
72
2.2629E-10
1206
72.238806
8
500
74
2.3257E-10
1214
73.7561779
550
76
2.3886E-10
1223
75.1921504
600
79
2.4829E-10
1232
77.5892857
10
650
81
2.5457E-10
1241
78.9766317
700
83
2.6086E-10
1250
80.344
750
86
2.7029E-10
1259
82.6528991
12
800
87
2.7343E-10
1269
82.9550827
850
90
2.8286E-10
1278
85.2112676
900
92
2.8914E-10
1288
86.4285714
14
950
95
2.9857E-10
1298
88.559322
1000
99
3.1114E-10
1308
91.5825688
1050
102
3.2057E-10
1318
93.6418816
16
1100
104
3.2686E-10
1328
94.7590361
1150
106
3.3314E-10
1339
95.7879014
1200
107
3.3629E-10
1350
95.9037037
18
1250
0
1360
0
1300
110
3.4571E-10
1371
97.0824216
1350
111
3.4886E-10
1382
97.1852388
20
1400
112
3.52E-10
1394
97.2166428
1450
114
3.5829E-10
1405
98.1779359
1500
115
3.6143E-10
1417
98.2004234
Discusion
Compared to shear box test that provides stresses failure plane, triaxial test provides the strength in terms of the principal stresses. Mohr envelope for the soil sample comprises of a shear diagram and is determined from triaxial compression test. Mohr cycle rupture is Mohr cycle that is tangential to the shear strength line (Fang, 1997; Preene, 2012). The results from Mohr circle stress transformation is used to relate the strengths from the tests. The construction of morh circle is important in soil mechanics beacuse enables approximation of different practical situations as plane starin problems. Mohr circle also enables determination of stresses acting on a plane and a given point, given the stresses are acting normally on the plane ar principal stresses. The cohesionless soil sample produces a Mohr envelope that passes through the origin (Preene, 2012).
The undrained strength on confining stress is independent because an increase in pressure in the cell without allowing drainage affects the rising pore pressure by the same amount. Therefore, the effective stress remains unchanged and the subsequent strength remains unaffected because the effective stresses determine the behavior of the soil. The change in pore pressure during the shearing is due to the moisture content and the initial effective stress. In the experiment the change in pressure is similar for the samples. Constant moisture content produces constant strength. Other factors that can affect the shear strength of the geological sample are the strata continuity, spatial variability and error in estimation (Preene, 2012).
Conclusion
The main objective of a triaxial test was to determine the Mohr envelope for the soil sample, from which the cohesion and angle shearing resistance can be established from the envelope. Soil sample with zero cohesion the Mohr envelope passes through the origin. Mohr envelope comprises of a shear diagram and which in most case is a straight line. Mohr cycle rupture is Mohr cycle that is tangential to the shear strength line.
References
Fang, H. -Y., 1997. Foundation engineering handbook. New Delhi: CBS Publishers & Distributors.
Preene M., 2012. Groundwater Lowering in Construction: A Practical Guide to Dewatering, Volume 6 of Applied geotechnics, 2nd ed, CRC Press,
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