Question

1) Undrained triaxial tests were conducted on clay specimens with diameter and height of 38 mm and 76 mm respectively. The test results are shown in Table 1. Plot the typical stress- strain relationships, and determine the peak shear strength of the tested soil Table 1. Test results for soil tested in triaxial shear apparatus Cell Pressure (03)-150 kPa 03-225 kPa 03 300 kPa Time, min(t) Proving ring reading (R) Provi ng ring Proving ring reading (R) 0 2.6 reading (R) 0 2.25 4.5 5.25 6.6 6.75 7.1 7.5 7.7 7.8 8 8 2.5 4.75 6.4 7.5 0.25 0.5 6.7 1.5 2 2.5 8.5 8.9 9.1 9.3 9.4 9.5 9.5 8.4 8.6 8.9 3.5 4 4.5 Use the following to process the data . Shear rate 2 mm/min Proving ring constant -0.008 kN/div Show detailed calculations in vour solution.

Answer 1

time, min (t)	cell pressure σ3, proving ring reading(R)				strain (%)	corrected area	shear strength (150kPa)	shear strength (225kPa)	shear strength (300kPa)
	150 kPa	225kPa	300kPa	displacement	(disp/100)	(area/(1-strain))	(σ3*0.008/corrected area)	(σ3*0.008/corrected area)	(σ3*0.008/corrected area)
0	0	0	0	0	0	0.001134115	0	0	0
0.25	2.5	2.25	2.6	0.5	0.005	0.001139814	17.54672226	15.79205003	18.24859115
0.5	4.75	4.5	5	1	0.01	0.001145571	33.17124077	31.42538599	34.91709555
1	6.4	5.25	6.7	1.5	0.015	0.001151386	44.46815563	36.47778391	46.55260042
1.5	7.5	6.6	8	2	0.02	0.00115726	51.84659642	45.62500485	55.30303618
2	8	6.75	8.5	2.5	0.025	0.001163195	55.02087784	46.42386567	58.4596827
2.5	8.4	7.1	8.9	3	0.03	0.001169191	57.47565546	48.58061355	60.89682543
3	8.6	7.5	9.1	3.5	0.035	0.001175249	58.54080323	51.05302607	61.9443383
3.5	8.9	7.7	9.3	4	0.04	0.00118137	60.26902311	52.14286269	62.97774325
4	9	7.8	9.4	4.5	0.045	0.001187555	60.628775	52.54493833	63.32338722
4.5	9	8	9.5	5	0.05	0.001193805	60.31134686	53.6100861	63.66197724
5	9	8	9.5	5.5	0.055	0.001200122	59.99391872	53.32792775	63.3269142

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the peak shear strength of the soil is 63.66197724 kPa