The five important volumetric relationships used in soil engineering are void ratio, porosity, percentage air voids, degree of saturation and air content. b. Compute the void ratio. Determine: a. A saturated soil has its voids completely filled with water, and its water content is denoted by w,,. It is denoted by (Sr). 4. 13. 2.4 Degree of Saturation The degree of saturation, S, has an important influence on the soil behaviour. Problem 2 The moist unit weight of a soil is 16.48 KN/m 3. (c) 1.0. The void ratio e, degree of saturation S, water content w and specific gravity Gs are related as (a) Sw = eGs (b) SGs = we (c) Se = wGs (d) Sew = Gs 12. (d) 1.2. It is generally expressed as a percentage and is also known as per cent saturation. We can't directly calculate the degree of saturation or the air void ratio. ϒ d = G* ϒ w / [1+(G*W/S)] Where. Dense uniform sand can have a void ratio of (a) 0.1. First we need to find the void ratio because e … Degree of saturation, S = V w /V v = 0.4/0.4x100% = 100%. 11. saturated soil mass under the influence of gravity. Question: (5a) Derive The Relationship Between Degree Of Saturation (S), Void Ratio (e), Water Content (w) And Specific Gravity (Gs) (5b) If The Soil Is Saturate, What Will Be The Water Content If The Void Ratio Was 0.75 And The Specific Gravity Of The Particles Was 2.7. G=specific gravity; Sr =degree of saturation 11 4 Prove that : n a = e e S r 1 (1 ) Where ,n a = per cent of air voids, e =void ratio Sr = Degree of saturation 12 5 Prove that: n a = n a c Where, n a = per cent of air voids ,n =porosity a c =air content 13 6 Prove that: J d = e G w 1 J Where, =dry unit weight ; G = sp.gravity, e= void ratio, J w Specific gravity of soil is 2.68 a. Compute the moisture content of the soil. Degree of Saturation (S)4. What is the Degree of Saturation (Sr) The degree of saturation is defined as the ratio of the volume of water (Vw) present in a given soil mass to the total volume of voids (Vv) in it. Example 4: Determine void ratio, porosity, and degree of saturation based on known volume, weight, and specific gravity (English units) Given: (metric units) Volume of soil mass: 0.0283 m 3. In its natural state, a moist soil has a volume of 0.33 ft3 and weighs 39.93 lb. Given that ω = 14% and G s = 2.65. Thus, Sr … c. Compute the degree of saturation. Percentage of Air Voids (na)5. S = Degree of saturation. Here, the void ratio is e, degree of saturation is S, the specific gravity is G s, and the unit weight of water is γ w. Write the relationship between degree of saturation S, void ratio e, water content w, and the specific gravity of G s. S e = w G s. Substitute S e for w G s in Equation (1). A soil sample has a porosity of 41%, a moisture content of 15.2% and a specific gravity of 2.65. Weight of soil mass at moist condition: 56.6 kg. W = Water content of soil. ϒ d = Dry density of soil. Porosity (n)3. ϒ w = Unit weigh of water. Contents:1. 3.8 must be changed to This is a general expression that is valid for all values of degree of saturation. Soil below the water G = Specific gravity of soil solids. Water content (w) is the percentage of the weight of water to the weight of the dry solids. Determine the degree of saturation and the air void ratio. The relationship between γ d, w and S, is as follow. Each relation is mentioned and explained briefly in this article. Void Ratio2. Another useful relationship for dry unit weight in terms of specific gravity, void ratio, and unit weight of water is Note that if Sr is not 100% then Eq. The term "moisture content" is sometimes used instead of "water content." (b) 0.5. S = V w /V V = 0.4/0.4x100 % = 100 %, w and,! Is sometimes used instead of `` water content is denoted by w,, dry solids * W/S ]! 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