1 Slope Stability Failure Planes or Slip Surfaces Text section
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3 Slope Stability In slope stability analysis we determine the Factor of Safety as a ratio of resisting forces to driving forces F s = Resisting / Driving Theoretically, any slope with a Factor of Safety less than one will fail and any slope with a factor of safety greater than one will not. Design focuses on the soil parameters and geometry that will provide the maximum factor of safety. Sometimes, the analysis of an existing slope will be what is called a parametric study – that is establishing a factor of safety and performing an analysis that back calculates the strength parameters. The engineer will then determine his/her confidence level as to whether or not the soil has that strength through experience, lab, and/or field data.
1 Slope Stability Failure Planes or Slip Surfaces Text section 14.9 and only
2 Slope Stability In general you have: Driving Force – Weight of Slope Resisting Force – Strength of soil along slip surface Buttress at toe W c
Design focuses on the soil parameters and geometry that will provide the maximum factor of safety. Sometimes, the analysis of an existing slope will be what is called a parametric study – that is establishing a factor of safety and performing an analysis that back calculates the strength parameters. The engineer will then determine his/her confidence level as to whether or not the soil has that strength through experience, lab, and/or field data..
4 Slope Stability Example of Circular Slip Surface (from geoslope software) Circular slip surfaces often used in analysis as the most likely approximated shape of the failure surface
5 Slope Stability Non circular slip surfaces can also be analyzed
Now: W n sin α (driving) N= W n cos α T r = shear face = c’ + F ’ tan φ’ (resisting) W n sinα W n cos α α.
7 Slope Stability Performing this analysis on each slice and then summing the components from each slice F s = Σ (c L + W cos α tan φ) / Σ (W sin α )
8 Slope Stability This analysis is very conducive to a tabular solution WedgecφαLWW sin αc LW cos α tanφ8 + 9 F s = Σ (10) / Σ (7)
9 Slope Stability - Example Each box is 5’ x 5’ * = 120 pcf c = 300 psf φ = 32 o
10 Slope Stability - Example First, Find the areas for each slice A1 A2 A3 A4
11 Slope Stability WedgecφαLWW sin αc LW cos α tanφ F s = Σ (10) / Σ (7)
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Rock Slope Stability Analysis: Limit Equilibrium Method - ppt download
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Effects of Soil Strength Nonlinearity on Slip Surfaces of Homogeneous Slopes, International Journal of Geomechanics
Geotechnical Engineering-II [Lec #28: Finite Slope Stability
A) Plot showing that the shear strength of the soil(s) is composed
Structural Design Structural design is to understand and calculate the stability, strength and rigidity of built structures for buildings. Some also use. - ppt download
The effect of slope height and angle on the safety factor and modes of failure of 3D slopes analysis using limit equilibrium method, Beni-Suef University Journal of Basic and Applied Sciences
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Planar failure surface and displacement occur in the failed wedge
Geophysical and numerical stability analysis of landslide incident - ScienceDirect
