CEE380_HW01_S16

# CEE380_HW01_S16 - UNIVERSITY OF ILLINOIS URBANA-CHAMPAIGN...

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UNIVERSITY OF ILLINOIS, URBANA-CHAMPAIGN NAME: _______________ DEPARTMENT OF CIVIL & ENVIRONMENTAL ENGINEERING DATE: _____TEAM:_____ 1 CEE 380 – Spring 2016 HW#1 Field Methods and Weight-Volume Relationships - Due Friday Jan. 29, 2016 NOTE: PLEASE SHOW YOUR CALCULATIONS IN A CLEAR FORM REMEMBER TO INCLUDE UNITS IN YOUR CALCULATIONS 1. A natural deposit of soil was found to have a water content (w) of 15% and to be 85% saturated (S). Calculate the void ratio (e), the porosity (n), and the dry density ( ρ d ) . Assume G s =2.68 Void ratio, e (-) Porosity, n (%) Dry density, ρ d (Mg/m 3 ) 2. A saturated soil has a dry unit weight ( γ d ) of 16.3 kN/m 3 and a water content (w) of 25 %. Determine the void ratio (e) and the specific gravity (G s ) of solids. Void ratio, e (-) G s (-) 3. For a given soil, show that a. e S w G r s = b. ( ) w d t + = 1 γ γ c. ( ) w e eS w r d + = 1 γ γ 4. In its natural state, a moist soil has a volume of 0.45 ft 3 and weighs 47.8 lb. The oven-dried weight of the soil is 39.5 lb. If G s = 2.67, calculate the following: Water Content, w (%) Total unit weight, γ t (lb/ft 3 ) Dry unit weight, γ d (lb/ft 3 )

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