Question No.1 a) Explain with the use of graphs, the 3 major parameters and their importance that are obtained from a laboratory consolidation test. b) Use sketches to show how to determine the pre- consolidation pressure for an over consolidated soil from its e vs log P curve. c) How do you find the field consolidation curve (line) for an over consolidated clay? Illustrate with diagrams. What important soil parameter is obtained from the curve (line) and how.
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- 1. The pressure versus void ratio data determined from a consolidation test on an undisturbed clay specimen are as follows: Applied Pressure (kPa) 20 40 80 160 320 640 1280 320 80 20 0 Void Ratio 0.953 0.948 0.938 0.920 0.878 0.789 0.691 0.719 0.754 0.791 0.890 (a) Plot this pressure versus void ratio data on a semi-logarithmic graph. (b) Determine the equations for the virgin compression curve and for the rebound curve for unloading starting at 1,280 kPa. (c) What are the corresponding compression and recompression indices for this soil? (d) Estimate the stress to which this clay has been preconsolidated. (After A. Casagrande.)(From Chapter 7) 6. A sample of normally consolidated clay was obtained by a Shelby tube sampler from the midheight of a normally consolidated clay layer (see Figure 7-34). A consolidation test was conducted on a portion of this sample, the results of which are given as follows: FIGURE 7-34 Water Table 9 ft. square Sand and Gravel Unit Weight = 120 lb/ft³ Normally Consolidated Clay Unit Weight = 103 lb/ft³ Gravel and Sand Unit Weight = 125 lb/ft³ p (tons/ft²) 0.250 0.500 1.00 2.00 4.00 8.00 16.00 e Elevation 100 ft 1.72 1.70 1.64 1.51 1.34 1.15 0.95 Elevation 94 ft 1. Natural (initial) void ratio of the clay existing in the field (eo) = 1.80. 2. Pressure-void ratio relationships are as follows: Elevation 85 ft Elevation 76 ft A footing is to be constructed 6 ft below ground surface, as shown in Figure 7-34. The base of the footing is 9 ft by 9 ft, and it carries a total load of 200 tons, which includes the column load, weight of footing, and weight of soil surcharge on the footing. a.…Question 2 The result presented in Table Q2a were obtained from a consolidated drained (CD) triaxial test on a normally consolidated clay sample of 75mm height x 38mm diameter tested at a confining pressure of 50 kPa. Table Q2a. CD triaxial test result Axial strain (%) 1 2 5 10 15 Applied force (kN) 0.01 0.03 0.05 0.08 0.10 Page 3 of 6 (a) Draw the Mohr circle for each stress state in the sample and the total stress path (TSP) throughout the test and determine the slope of the TSP to the horizontal.
- Prob- The various approximations approaches described in this section can be used to compare K_a for both a normally consolidated (nc) clay and a clay with a known value of OCR = 5.0.Following are the results of a consolidation test on a sample of undisturbed clay obtained from the field. Pressure ơ' (kN/m²) Final Height of Specimen (mm) 24 10 23.78 20 23.30 50 22.22 100 20.58 200 19.04 400 17.52 800 16.31 17.75 The height of the specimen at the beginning of the test was 24 mm and the area of specimen was 50 cm? volume of specimen was 120 cm³. The mass of dry specimen was 180.4 g. Gs= 2.68. 1. Plot the e-log ơ' curve, 2. Using Casagrande's method, determine the preconsolidation pressure. 3. Calculate the compression index, CcANSWER MUST BE: (a) t50 = 8.37 years, (b) t90 = 35.96 years, (c) U ≈ 17%, (d) U ≈ 39% A clay specimen was tested in a laboratory consolidation device, whichwas 12.7 mm (½ in.) thick and the top and the bottom boundaries weredrained. A 50% consolidation time on the specimen was obtained as28.4 minutes. Determine the following:(a) Time for 50% consolidation in the field with this soil with a 2.5 mthickness where only the top layer is drained (b) Time for 90% consolidation in the field with this soil with a 2.5 mthickness where only the top layer is drained (c) For the same field condition above, at the end of 1 year after theplacement of load, how much primary consolidation settlementoccurs relative to its final amount of the settlement? (d) The same question as in (c), but at the end of 5 years
- A site is underlain by a saturated clay layer with thickness = 5m. A sample extracted from the center of the clay layer was recently tested for consolidation parameters. The results indicate that the compression index is 0.33, the recompression index is 0.09, and the void ratio is 1.2. The results also indicate that the layer is normally consolidated. Calculate the preconsolidation stress of the clay. Express your answer in kPa. Note: this is a short problem; read the problem statement carefully. Use unit water weight = 10 kN/m3.10.9 A consolidation test on a sample of clay produced the following data: o:' (kPa) 8 16 32 64 128 256 512 1024 16 0.032 0.041 0.051 0.069 0.109 0.173 0.240 0.301 0.220 The initial void ratio of the sample was 1.21, and Ozo at the sample depth was 40 kPa. (a) Plot these data on an arithmetic diagram similar to that in Figure 10.10(a) (b) Plot these data on a semilogarithmic diagram similar to that in Figure 10.10(b). (c) Using Casagrande's method, find oc (d) Using Schmertmann's method, adjust the test results. (e) Determine Ccand Cr.a. Explain the Mohr's circles shown in Figure Q2 for a series of undrained tests and consolidated undrained test carried out on the same clay. What are the strength parameters which can determined from each test? D. (a) (b) Figure Q2 b. Which is the third type of test not shown in the figure? What would you expect the Mohr's circles for this test to look like?
- The consolidation test of a clay sample taken from a 2 m thick normally consolidated clay soil layer has been conducted and the results are shown in the table below. The average overburden stress of the clay soil layer is 50 kPa, What would the total settlement (mm) be if an additional 100 kPa loading is applied over a large area on the top of the clay layer? (Hint: void ratio is related to the sample volume) P(kPa) 0 50 100 200 400 e 0.850 0.760 0.710 0.650 0.640The table below shows the results of consolidation test for a soil sample, Find the X value, if you know the value of initial height of sample equal to 19.15 mm Applied pressure, kPa АН, mm For each one loading stage Void ratio 0.712 25 0.25 50 0.22 X 0.692 0.681 0.670 0.553 no oneA soil sample having initial void ratio 0.75and thickness 20 mm is subjected toconsolidation test. Initially the dial gaugewas set to zero. At the end of consolidation,the final dial gauge reading was observedto be 0.25 mm. The final void ratio of thesample is....