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Solution HW#3

Solution HW#3 - Solution of Homework No.3 CEE 330 Fall...

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Solution of Homework No.3 – CEE 330 – Fall 2009-10 Date: October 3, 2009 45 points total Problem 1a (5 pts): Plot the compaction curves (on a single plot) Problem 1b (5 pts). Establish the max. dry unit weight and optimum water content for each test Modified Standard Low Energy γ d,max 19.25 kN/m 3 17.6 kN/m 3 17.45 kN/m 3 w opt 12% 16% 17.5%

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Problem 1c (5 pts). Compute the degree of saturation (S=V w /V v ) at the maximum dry unit weight and optimum water content Example for Modified Compactive Effort V s = 1m 3 γ s = W s /V s = 26.5 kN/m 3 W s = γ s · V s = 26.5 kN V = W s / γ d = 26.5 kN / 19.25 kN/m 3 = 1.377 m 3 W w = w · W s = 0.12 · 26.5 kN = 3.18 kN V w = W w / γ w = 3.18 kN / 10 kN/m 3 = 0.318 m 3 V a = V – (V s + V w ) = 1.377m 3 – (1m 3 + 0.318m 3 ) = 0.059m 3 V v = V a + V w = 0.059m 3 + 0.318m 3 = 0.377m 3 S = V w / V v = 0.318m 3 / 0.377m 3 · 100 = 84% Modified Standard Low Energy γ d,max (kN/m 3 ) 19.25 17.6 17.45 w opt (%) 12 16 17.5 V s (m 3 ) 1 1 1 γ s (kN/m 3 ) 26.5 26.5 26.5 W s (kN) 26.5 26.5 26.5 V (m 3 ) 1.377 1.506 1.519 W w (kN) 3.18 4.24 4.6375 γ w (kN/m 3 ) 10 10 10 V w (m 3 ) 0.318 0.424 0.464 V a (m 3 ) 0.059 0.082 0.055 V v (m 3 ) 0.377 0.506 0.519 S (%) 84 84 89 e 0.377 0.506 0.519 w sat 14.2 19.1 19.6 w 90 12.8 17.2 17.6 w 80 11.4 15.3 15.7 w 70 10.0 13.4 13.7
Problem 1d (5 pts). Plot the 100% saturation (Zero Air Voids) curve. Also plot the 70%, 80%,

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Solution HW#3 - Solution of Homework No.3 CEE 330 Fall...

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