Problem Set 2:5. A cubical sample of San Francisco Bay mud (a soft marine silty clay) hasbeen prepared for testing in a true triaxial device. The dimensions of thesample are 76 mm by 76 mm by 76 mm. The sample has a moisturecontent (w) of 68.5% and a moist density (r) of 1.44 g/cm³. The averagespecific gravity of solids (G,) is 2.55.Determine (a) the void ratio (e) and degree of saturation (S), (b) themoist density (g) and moisture content (w) if the soil becomes saturatedat the same total volume, and (c) the density (p) of the soil if all pore fluidis dried off with no change in total volume.Provide the Phase Diagram.

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Answered: 5. A cubical sample of San Francisco…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Problem: For a constant laboratory permeability test on a fine sand, the following data are given: Length of specimen - 16 cm Diameter of specimen - 9.6 cm Constant head difference - 50 cm Volume of water collected in 4 min - 420 cc Void ratio of the soil specimen - 0.55 A.) Determine the hydraulic conductivity of the soil in cm/sec B.) Determine the discharge velocity in cm/sec C.) Determine seepage velocity in cm/sec
A certain saturated sand (S = 100%) has a moisture content of 27.9% and a specific gravity of solids of 2.61. It also has a maximum index void ratio of 0.90 and a minimum index void ratio of 0.33. Compute its relative density and classify its consistency. (Table on the right) Solution: Given the values of mmoisture content, specific gravity and degree of saturation, the void ratio can be estiamted as: e = Thus the relative density is found to be Dr = • According to the table, the soil is classified as %; soil. TABLE 3.3 CONSISTENCY OF COARSE-GRAINED SOILS AT VARIOUS RELATIVE DENSITIES (data from Lambe and Whitman, 1969) Relative Density, D,(%) 0-15 15-35 35-65 65-85 85-100 Classification Very loose Loose Medium denseª Dense Very dense "Lambe and Whitman used the term "medium," but "medium dense" is better because "medium" usually refers to the particle size distribution.
From the constant head permeability test, the following values are given: Void ratio of specimen 0.46 Length of soil sample 450 mm Constant head difference 700 mm Water collected in a period of 180 seconds Cross-sectional area of soil sample 3.54 x 10-4 m³ 2.26 x 10-3 m² a.) Determine the coefficient of permeability in m/hour. b.) Compute the discharge velocity in mm/s. c.) Compute the seepage velocity in mm/s. d.) If the test was done at 24°C, what is its corrected coefficient of permeability?
In a constant head permeability test in the laboratory as shown in Figure Q2(e), the data is recorded in Table Q2(b). The void ratio of the soil specimen is 0.46. Determine; (i) Hydraulic conductivity, k, of the soil in cm/sec. (ii) Discharge velocity in cm/sec.
During Atterberg limit tessts in the Naboratory,the studens obtained the following results froma clayey soil. Wumber of Blows (N) Molsture Content \ 38/4 16 36/5 20 33.1 28 2/7 0 Plastic limit tests: Students conducted two trials and found that PL= 17 2% for the first trial and PL = 18.4% for the second trial. Assume that the liquid limit of the soil iS LL= 29.0% a. Determine the flow index. b. Determine the liquidity index of the soil if the in situ moisture content is 22.0%.
An undisturbed sample of fine sand is tested in the laboratory and found to have a dry mass of 4.63 kg, a total volume of 0.00198 m³ and a specific gravity of 2.70. Other laboratory tests are performed to determine the maximum and minimum density of the sand. At the maximum density, it is determined that the void ratio is 0.35 at the minimum density, the void ratio is 0.95. A. Compute the void ratio of the sand. B. Compute the relative density of the undisturbed sample. C. Compute the dry density in Mg/m³.
A sample of sand is subjected to a constant head permeability test. The sample diameter is 60 mm and its length is 130 mm. Under an applied head of 60 cm, 119 cm³ of water flows through the sample in 5 minutes. Determine (a) the coefficient of permeability, and (b) the discharge velocity.
3-8 A 1-ft3 of undisturbed soil sample has a dry weight of 107 lbs. The specific gravity of the soil solids is 2.70. Need Vs VT = 1 To solve for Vs = use the following equation Ws=Vs*Gs*yw (solve for Vs) a) Calculate the void ratio of the sample. b) Calculate the porosity of the sample. DC
Problem Set 2: 4. A sample of gray silty clay has a mass of 126 kg. Laboratory tests results give a moist density (p) of 2.05 g/cm³, a specific gravity of solids (G,) of 2.71, and a moisture content (w) of 15.7%. First determine all entries in the phase diagram. Then determine the void ratio (e), the porosity (n), the degree of saturation (S), the dry density (Pa), the dry unit weight (ya), and the moist unit weight (y). Draw the Phase diagram.
a) A CU triaxial test was carried out on a silty sand soil sample. The cell pressure was equal to 200 kPa. At failure the deviator stress was equal to 410 kPa and the pore pressure was equal to 73 kPa. i) Assuming that the cohesion intercept is equal to 0, calculate the friction angle of the soil. ii) If the friction angle was equal to 35°, calculate the cohesion intercept of the soil. iii) Calculate the angle of the failure plane relative to the horizontal plane for the soil shear strength parameters in Question 4 a i and 4 a ii.
Ex Two identical soil samples (A) and (B) of a fully saturated N.C.C. were tested. Sample (A) was subjected to an unconfined compression test and failed when the deviator stress (OT-13) was (200) kN /n². Sample (B) was tested under UU conditions with a cell pressure of (300) kN/m². The pore water pressure at failure. was (200) kN/m². a) What was the pore water pressure at failure in sample (A). b) If C=o, Find (2) for this clay. (Itint. Start with soil B, and that (OJ) un= (FJ) afined). unconfined
A cylindrical specimen of dry sand with a minimum and maximum void ratio (emin and emax) of 0.5 and 0.8 respectively has a relative density of 45%. If the specimen is compacted such that the relative density is 60%, what will be the decrease in height of the sample if the initial height was 15cm? Assume that the specimen diameter remains constant such that any volume change occurs only as a change in height.

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