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Department of Civil Engineering and Engineering Mechanics Soil Mechanics CIEN 3141: Spring 2015 Steve Sun Homework No. 3 (Due date: 03/02/2015) 1. (30 points) Design a (cantilever) retaining wall that can support 8 meters of dry sand landfill with friction angle equals to 30 degree and density equals to 20kN/m3 if, (a) the sand landfill is placed on top of the same dry sand material and, (b) the sand landfill is placed on top of a cohesive material with zero friction angle and a 20kPa cohesion. In other words, find the minimum depth of the embedment to keep the retaining wall from collapsing. Assume that a prop is connected to the top of the retaining wall to provide horizontal support. 2. (10 points) Explain the following terminologies: (a) isotropic material, (b) homogeneous material, and (c) critical state. (d) Give five examples of the stress invariants you have learned from the lectures. Explain why you consider them invariants. 3. (25 points) A 3 x 4 m rectangular footing is loaded uniformly by 100kPa on a landfill. Using the Newmark’s method to estimate: (a) the vertical stress under the corner of the footing at the depth of 3 meter, and (b) the vertical stress under the center of the footing at the depth of 3 meters. Find m, n and the influence factors for each location and use them to find the vertical stress.
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