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, Si Edition
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- Finer, % 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_forwardSituation 2: Determine the formula for each item given below. 6. Saturated unit weight of soil. a. [(1 + n)G, + n]yw b. [(1 + n)Gs - n]yw 7. Unit weight of soil. a. (1- n)(1 – w)GsYw b. (1– n)(1 + w)G Yw c. [(1 - n)G, + n]yw d. [(1 - n)G, - n]yw c. (1 + n)(1 + w)G:Yw d. (1 + n)(1 – w)G:Yw 8. Moisture content of saturated soil. e a. G3(1-e) С. G;(1+n) d. G;(1-n) e n b. G3(1+e)arrow_forwardSolve the following system of equations using the Gauss elimination method: 4a + 3b + 2c + d = 1 3a + 4b + 3c + 2d = 1 2a + 3b + 4c + 3c = -1 a + 2b + 3c+ 4d = –1 Correction: Eg. 3 is 2a + 3b + 4c + 3d = -1 %3Darrow_forward
- 1. Determine the centroid of the shaded area. Use 4 decimal places for the final answer. B Y C y(x) A B A o Given . A = 5 in · B = 24 in C = 6in y(x) = 3-x^2/48arrow_forwardIn natural state, a moist soil has a volume of 0.33 ft3 and weighs 39.93 lb. The oven dry weight of the soil is 34.54 lb. If Gs= 2.71, calculate the moist unit weight in lb/ft3. CHOICES: a.68.74 b.104.67 c.124.4 d.121.0arrow_forwardQuestion 2 a. For the particle size distribution curve shown below, what is the percentage of gravels, sand and clay for b. Soil A c. Soil B d. Soil C Grave Sand Sit Clay Coarse Medium Fine W 近arrow_forward
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