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 GEOTECH.ENGINEERING >LL+M
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- 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_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_forwarda. A series of two square plates of widths 5 and 10 cm are used to assess the vertical stiffness of a sandy soil, with the following results: Plate width = 10 cm Sinkage, cm Plate width = 5 cm Weight, kg Sinkage, cm Weight, kg 5 0.15 16 1.20 8 0.50 1.65 28 2.52 3.74 13 23 47 5.65 60 5.45 35 13.50 15.00 88 7.48 45 95 105 9.85 54 16.52 10.05 b. Find ke and kp and n c. In the soil of (a), what would be the predicted sinkage of a tire of width 43 cm, diameter 142 cm and vertical weights of (a) 12.5 and (b) 25 kN? (Take L=d/4.)arrow_forward
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