- Slope Stability Analysis.
The slope tells you how steep a line is. The larger the value, the steeper the line.In algebra, the slope is the “m” in the formula y = mx + b. In statistics, we’re interested in a particular type, found with the linear regression formula. In that case, “m” is replaced with the a in the equation y’ = b + ax. Here, the value tells you what the rate of change in y (the dependent variable) is, as x (the independent variable) changes.
2. Slope Stability Analysis
Slope stability analysis is the study of stability factors, and therefore safety, of both natural and man-made gradients.
Slope stability is generally defined as the resistance of a gradient to “failure”, where failure is collapse or sliding. Analysis typically involves working with two types of equations: equilibrium equations, which apply physics to the field conditions, and constitutive laws (i.e. laws specific to a particular substance) that describe the behavior of the soil.
Types of Analysis
Slope stability analysis is carried on in a number of different ways, but probably the most commonly used method is what is called limit equilibrium analysis. In this analysis one studies the equilibrium between the gradient and a slip surface (this may be a straight line, logarithmic spiral, or the arc of a circle). Shear stresses (τ) are calculated, the available resistance (τf) is calculated, and a ‘factor of safety’ is derived, F= τf / τ.
Some methods of analysis work with the slope as a rigid body, but most divide it into slices and calculate the equilibrium of each individual slice. This has the advantage of allowing an analyst to cater to non-homogeneous surfaces.
Slope stability analysis plays in an important role in the design and engineering of any architectural structure that contains sloped surfaces, including highway embankments and mountain roads. It also is crucial in earthquake damage prevention, and allows foresters and landscape designers to locate danger areas that are likely to be prone to mud slippages and avalanches.
Catanzarita, Filippo. Stability Analysis
Retrieved from https://www.geostru.eu/slope-stability-analysis/ on April 3, 2018
US Army Corps of Engineers. Engineering Manual.
Retrieved from http://www.civil.utah.edu/~bartlett/CVEEN5305/Handout%2010%20-%20EM_1110-2-1902.pdf on April 3, 2018
Stephanie Glen. "Slope: Simple Definition, Example & Stability Analysis" From StatisticsHowTo.com: Elementary Statistics for the rest of us! https://www.statisticshowto.com/slope/
Need help with a homework or test question? With Chegg Study, you can get step-by-step solutions to your questions from an expert in the field. Your first 30 minutes with a Chegg tutor is free!
Comments? Need to post a correction? Please post a comment on our Facebook page.