Ordinary_method_of_slices_Example.pdf - SLOPE STABILITY ANALYSIS ORDINARY METHOD OF SLICES Foundation Engineering Rotational Slope Failures Rotational

# Ordinary_method_of_slices_Example.pdf - SLOPE STABILITY...

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SLOPE STABILITY ANALYSIS: ORDINARY METHOD OF SLICES Foundation Engineering

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Rotational Slope Failures
(La Conchita, CA, USGS) (Varnes) Rotational Slope Failures

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Landslide in Thailand

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Limit Equilibrium: 1) Assume some circular (or other shape) failure surface 2) Calculate driving forces (moment about O) 3) Calculate resisting forces (moment about O) Basic Analysis Approach for Rotational Failure Surface Issues: Where is the center of mass? How does resistance vary along surface? How does normal stress vary along surface? Water table and seepage forces? Soil layering? More complex geometry?
Method of Slices (General) Assume some failure surface Discretize failure surface into smaller elements (slices) Bottom of each slice passes through one type of material Curved bottom of each slice approximated as chord

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Unformatted text preview: • More slices = more refined solution • 10-40 slices typically sufficient (less for hand solutions) • Calculate factor of safety for each slice (strength/stress) and overall factor of safety • Find lowest FS for different failure surfaces Side forces make the problem statically indeterminate Ordinary Method of Slices (OMS) • Side forces neglected (statically determinant) • Effective Stress Analysis (ESA) • Total Stress Analysis (TSA) Example 1 Compute the long term factor of safety for the failure surface using the OMS 1) Divide into slices (draw to scale) 2) Compute weights 3) Compute average pore pressure at base of each slice 4) Solve for overall factor of safety 5) Repeat for another failure surface to find minimum FS...
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