Concept explainers
(a)
Show that
(a)
Explanation of Solution
Express the formula for saturated unit weight
Here,
Rearrange equation (1) as shown below.
Here,
Substitute
Hence, the saturated unit weight of the soil
(b)
Show that
(b)
Explanation of Solution
Express the formula for dry unit weight of the soil
Here,
Express the relation between specific gravity of soil solids
Substitute
Hence, the dry unit weight of the soil
(c)
Show that
(c)
Explanation of Solution
Refer to part (a).
The saturated unit weight of the soil
Rearrange Equation as shown below.
Hence, the void ratio
(d)
Show that
(d)
Explanation of Solution
Express the formula for saturated unit weight
Express the formula for specific gravity of soil solids
The degree of saturation
Substitute 1 for S.
Substitute
Here,
Substitute n for
Hence, the moisture content
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Chapter 3 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
- 1. What is the unit of water? a) 1000 KN/m³ b) 9.81KN/m³ c) 1000 kg/ m³ 2. What is the density of water? a) 1000 KN/m³ b) 9.81KN/m³ c) 1000 kg/ m³ 3. It is soil classification that has size limit greater than 4.75mm according to the unified classification system. a) Gravel b) Sand c) Silt d) clayarrow_forwardThe moist unit weights and degrees of saturation of a soil are given below degree of saturation moisture unit weight 50 16.64 75 17.73 1. determine the saturated unit weight in kn/m3 2. determine the unit weight of soil in in kn/m3 if s = 13%. round off to two decimal places 3. determine the unit weight of the soil in in kn/m3 if s = 69% round off to two decimal placesarrow_forwardFor a soil, given e= 0.75, w= 22%, Gs= 2.66, calculate the moist density of soil in kg/m3. a.1854 b.1516 c.1860 d.1520 With FBD if necessaryarrow_forward
- Calculate the unit weight of soil, if Sr=1, ps=2,65 g/cm3, s=0,55arrow_forwardFor a moist soil, given the following: V G = 2.66. Determine: a.Dry unit weight b. Void ratio 0.25 ft3; W = 30.75 lb; w = 9.8%; and C.Volume occupied by waterarrow_forwardThe figure shows water flowing through two saturated soils (A and B) in the hatched areas. Calculate the pressure head elevation head and total head at points X, Y and Z. Also calculate the flow rate through the soils. the cross sectional area of the sample is 15 m2arrow_forward
- Situation 11 - The moist unit weight and degree of saturation of a soil are given in the following table. Degree of Saturation (%) Moist Unit Weight (kN/m^3) 50 16.64 75 17.73 Determine the unit weight of the soil in kN/m3 if s = 13%. Round off to two decimal places.arrow_forwardFor a soil, given e= 0.75, w= 22%, Gs= 2.66, calculate the degree of saturation. a.14.91 b.78.03 c.18.91 d.94.85arrow_forwardA moist soil has a volume of 0.0081 m³ and weighs 151.2 N. The oven dry weight of soil is 138.6 N. Assume Gs = 2.7 and find the following in requested units: a. water content, w (%) b. total unit weight, y (kN/m²) c. dry unit weight, yd(kN/m²) d. void ratio, earrow_forward
- A sample of soil having a mass of 360 g is to be placed into a cylinder whose volume is 750 cm³. An additional volume of 573 cm³ of water is required to fill the container with moisture content = 22.5% and GS = 2.60. 1. Compute the bulk unit weight. a. 6.16 kN/m³ b. 16.25 kN/m³ c. 18.19 kN/m³ d. 19.95 kN/m³ 2. Compute the submerged unit weight. a. 8.17 kN/m³ b. 9.42 kN/m³ c. 10.02 kN/m³ d. 12.18 kN/m³ 3. Compute the porosity. a. 0.56 b. 0.46 c. 0.36 d. 0.26arrow_forwardCalculate the bulk density (g/cc) of a soil using the following values; a. Weight of core= 150 g b. Weight of core + fresh soil= 230 g c. Moisture content of the soil= 12% d. Height of the core= 9.5 cm e. Diameter of the core= 4 cm * A. 0.65 B. 0.60 C. 0.55 D. 0.50arrow_forwardFigure below shows layers of soil in a tube that is 100mm x 100mm incross section. Water is supplied at a constant head difference of 400 mm across thesample. The hydraulic conductivities of the soils in the direction of flow through them areas follows. Soil k (cm/sec) Porosity, n (%) A 1x10-2 25 B 3x10-3 32 C 4.9x10-4 22 a. Calculate the equivalent k in cm/sec.b. Calculate the rate of water supply in cm^3/hrc. Calculate the seepage velocity through soil C in m/sec.arrow_forward
- Fundamentals of Geotechnical Engineering (MindTap...Civil EngineeringISBN:9781305635180Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning