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
Bundle: Principles Of Geotechnical Engineering, Loose-leaf Version, 9th + Mindtap Engineering, 2 Terms (12 Months) Printed Access Card
- The soil profile at a site is given in figure below. Water in a stand pipe inserted in the sand layer rise to an elevation of +20 m. A real estate company proposes to reclaim the area at this site by pumping out water from the lake and lowering the water level to EL = 0 and then proposes to construct a housing colony at this site. Which of the following observation is correct? EL = +20 m EL-+10 m EL=0 EL=-20 m EL--30 m Lake Silt Sand Rock Y=20 kN/m² k= 10 m/s Uniform pore pressure throughout the depth A Company should go ahead with the proposal. B Company cannot evaluate site condition as data is insufficient. C Quick sand condition may occur in silt. D Quick sand is not a matter of concern for silt layer.arrow_forwardDetermine the soil properties, W and Ø 0 5 10 Sandy solly - 112 pcf Well graded sand y = 112 pcf Well graded sand y sat-116 pcf Depth [ft] 5 10 15 2422998 20 25 30 35 40 45 50 N Value 15 ● 20 ● ● 25 30arrow_forwardProblem IV. Prove the given relation below; y'=Ya+Yw (n-1) Problem V. The mass of a wet sample of soil and its container is 0.34 kg. The dry mass of the soil and its container is 0.32 kg. The mass of the container is 0.06 kg and its volume is 0.19 x 10m³. Determine the following. a. The bulk, dry, and saturated unit weights of the soil. b. The void ratio and the degree of saturation. c. How much air vold is in the soil? d. The weight of water required to saturate 1 m³ of this soilarrow_forward
- SHOW COMPLETE SOLUTION PLSVALUES:B = 5C = 1arrow_forward1.) a = 41.10 ; b= 27.10 ; c= 13.20 Show your complete solution.arrow_forwardFiner, % 100 90 80 70 60 50 40 30 20 10 0 0 0.01 1 Size, mm Figure shows a grain size distribution curve of soil. Estimate the coefficient of curvature (CC) of this soil. A 0.1 10 100arrow_forward
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