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Computational Engineering

ENG435

Assignment 3

Geotechnical Engineering

Part 1: Slope Stability Analysis

For an embankment in dry clay, the downstream slope stability should be assessed using the strength reduction method. The objectives are to determine the effect of the a) the number of elements (element size) and b) the element type, on the resulting stability Factor of Safety (FoS). The model dimensions and material properties are described as follows.

Part Steps:

1. Use 15-Noded elements and perform the slope stability analysis with at least ten different uniform element distribution setups ranging between ≈50 to 1000 elements in the geometry. Please provide the element distribution plot for each configuration (e.g. Fig. 2).

2. Repeat Item 1 using 6-Noded elements.

3. Plot the results and demonstrate the variation of the calculated FoS versus the number of elements.

4. Discuss why the analysis results (the calculated FoS) should be a function of element size and type.

5. Based on your analysis results, please explain how many elements could be considered as the optimum number of elements for this slope stability analysis.

6. Please explain what type of elements (15- or 6-Noded) should be applied to provide the safest design.

A flexible circular footing with a radius of 2.0 m is placed on dry sand (see Fig. 3).

The objectives are:

a) To calculate the maximum settlement when the footing is subjected to a vertical distributed stress of 150 kN/m2 .

b) To satisfy the required boundary conditions and to optimise the model geometry size by placing the bottom horizontal boundary far enough from the footing.