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A3hints

# A3hints - W for this 2 Choose a range of values for β 3...

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Refer to Figure 1 below. Please note that the nomenclature used for the angles shown in this figure differ from that found in your notes. It is your responsibility to identify the equivalent/corresponding angles between what is described here and what is found on page 27 in Chapter 3 of your course pack. Figure 1: Failure wedge for an active failure (triangle ABC) behind the retaining wall (left); force triangle from the free-body diagram describing the forces acting on the centre of mass of the failure wedge. 1. Use the Sine Law to derive an expression for P a in terms of all other variables. Hint: use P a and

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Unformatted text preview: W for this. 2. Choose a range of values for β . 3. Using MS Excel, graph P a vs. β and locate on the curve where you think the critical active force is, and then find the corresponding angle. Make sure to create your spreadsheet efficiently so that all calculations adjust automatically for every change in β. For the passive case, repeat these steps using the diagram on the following page. Final Hint: δ is about one ‐ half to two ‐ thirds of φ . Assignment 3 Hints CIVE 416: Geotechnical Engineering Winter, 2009 Assignment 3 Hints CIVE 416: Geotechnical Engineering Winter, 2009...
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A3hints - W for this 2 Choose a range of values for β 3...

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