CEE380_HW08_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 #8 Consolidation and time rate of settlement Due March 28, 2016 NOTE: PLEASE SHOW YOUR CALCULATIONS IN A CLEAR FORM REMEMBER TO INCLUDE UNITS IN YOUR CALCULATIONS PLEASE STAPE YOUR WORK 1. At a site having the soil profile shown in the figure below, a load of 120 kPa will be applied over a large areal extent. Assume that the groundwater table remains constant at the clay-sand interface (hydrostatic conditions). a. Compute the effective stress at a depth of 15 m below the ground surface 3 years after the application of the load. b. Repeat the calculation in (a) if the clay were underlain by impermeable bedrock instead of sandy gravel. 2. A site has 15 m of saturated clay (saturated density = 1.6 Mg/m 3 ) over hard bedrock. The settlement analysis for the clay under a new structure indicates that the ultimate total settlement will be about 20 cm. After 9 months, 10 cm of settlement has occurred. a. What will be the settlement after 1162 days? (disregard immediate settlement) b. Estimate the time it will take for the ultimate settlement of 20 cm to occur? (Use T 95 for your estimate) Give your answer in years. Effective stress (kPa) Effective stress (kPa) Settlement (cm) Time (years) normally consolidated clay sat = 18 kN/m³; c v = 1.9 m²/yr 15 m 5 m sand; t = 19 kN/m³ sandy gravel
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UNIVERSITY OF ILLINOIS, URBANA-CHAMPAIGN NAME: ______________ DEPARTMENT OF CIVIL & ENVIRONMENTAL ENGINEERING DATE: ______Team:___ 2 3. At a site, the boreholes suggest the following soil profile: 2m of sand (SW), overlying 20m of homogeneous clay. Gravelly sand occurs beneath the clay layer and the water table is at the
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