An excavation of 10 m in soft clay is shown in the figure. Assuming the last level of strut is at GL-7.0 m, calculate the factor of safety against inward yielding using the given soil properties. 10.0m GL-7.0m 10.0m 5.0m 0.5m. 9s 15 kPa Soft clay 1: Yt=20 kN/m³ Cu=30kPa Qu=0° Silty clay 2: Yt=20 kN/m³ C₁ =90kPa Qu=0° Bed Rock
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- 2 m 2 m 3 m Figure P2.11 A Dry sand; e = 0.5 G, = 2.65 B Water table Sand Gs = 2.65 e = 0.6 C Clay w = 36% GS = 2.75 D Rock1 In order to restore a river embankment damaged by an earthquake, a soil of 50,000 m3 estimated after compaction was needed. From the laboratory tests of soil from the excavation site, the water content was w = 15%, and the void ratio was e = 0.60, and the specific gravity of soil was Gs =2.70. The soil was carried by truck to the construction site. The load capacity of the truck is 6.5 t. The construction of embankment was done by compacting after adding water so that the water content becomes 20%. The dry density of soil after compaction was 1.80 t/m3 . Answer the following questions. The density of water is 1.0 t/m3 . find the saturation Sr, the bulk density, and the dry density of soil at the excavation site. Find the total number of trucks needed for the construction. Find the total volume of soil excavated at the excavation site. Find the total volume of water added to obtain the prescribed water content. Assume that evaporation of water is negligible. The embankment is needed…|!;9 ELABORATE Try solving the following problem: Practice Problem: The following are the results of a consolidation test on a sample soil: a. Plot the e-log o' curve b. Using Casagrande's method, determine the preconsolidation pressure. c. Calculate the compression index, Cc e 1.1 1.085 1.055 1.01 0.94 0.79 0.63 Pressure, o' (ton /ft²) 0.25 0.50 1.00 2.00 4.00 8.00 16.00
- Coulomb's failure envelope for a soil is given by t₁ = C' + o' tan o'. For the same soil, the modified failure envelope in a q' - p' plot can be expressed as q' = m + p'tana. Express a as a function of o' and m as a function of C' and o'.1. Develop the relationship a. G + Se y = Yw 1+e from a block diagram expressed in terms of G, e, S and y, b. What is the void ratio and buoyant unit weight of the soil if G, = 2.70 and Yoe = 1.5 y, (S = 1)?A soil profile is shown in the following figure. A new footing will be placed on the ground and the average vertical stress increment at the midpoint of the clay layer due to the new footing will be Ao, = 25.5 kPa. Estimate the final primary consolidation settlement of the clay layer. Assume that the clay is normally consolidated. New footing 2.8 m Ydry 18.0 kN/m³ W.T. 4.2 m Ywet = 18.6 kN/m³ 3.0 m = Ywet 18.2 kN/m³, e₁= 0.82 LL = 44, PL = 20 Sand Sand Clay Sand
- 5. The coefficient of permeability of a sand at a void ratio of 0.62 is 0.03 cm/sec. Estimate the coefficient of permeability at a void ratio of 0.48. Using Casagandre equation Using Kozeny-Carman equation Find the difference in the rate of flow using the results of “a” and “b” if i = 0.70 and A = 0.6 m2.the soil profil shwon in figure BI below.determine total and effective vertical stresses and powr water Pressure at Points A, B, and C. For the soil 3m 4m 6m I Sand A5=2167 €=0.69 B C w=9% Silt Gs =2170 = 2₁70 e=0.60 clay = 2.72 @= 0.5 G₁ 5 = 70%Shear Strength of Soil The following are the results of two consolidated-drained triaxial tests on a clay: Test I: 03 = 140 kN /m²; 0,(railure) = 368 kN /m² Test II: 03 = 286 kN /m²; 0,(falare) = 701 kN/m² Determine the shear strength parameters; that is, c' and '. (Enter your answers to three significant figures.) kN /m? 3.
- 5 The compression curve (void ratio, e vs. effective stress, o) for a certain clayey soil is a straight line in a semi-logarithmic plot and it passes through the points (e = 1.2; o = 50 kPa) and (e=0.6; o = 800 kPa). The compression index (up to two decimal places) of the soil is 100The coefficient of permeability of a sand at a void ratio of 0.62 is 0.03 cm/sec. estimate the coefficient of permeability at a void ratio of 0.48. a. Using Casagrande equation b. Using kozeny - Carman equation.A soil formation is composed of 5 m thick clay and 5 m thick sand being the sand above the clay. The ground water table (GWT) is located at 2 m below the ground surface. 40 kPa 2 m Sand Ydry = 17.66 kN/m^3 VGWT Sand 3 m Y sat = 20.93 kN/m^3 LI = 64% PL = 20% w = 40% 5 m Clay eo = 0.60 G. = 2.60 1. Calculate the primary compression index. [ Select ] 2. Calculate the primary consolidation settlement of the normally consolidated clay layer if there is a surcharge of 40 kPa acting on the ground surface. [ Select] 3. Calculate the secondary settlement of the clay layer 5 years after the completion of the primary consolidation settlement. Time for completion of primary settlement is 2 years. Use C, = 0.02. [Select ]