Question

Taylor's stability number $S_n$ is given by which one of the following expressions ? (c is cohesion , $F_c$ is fcator of safety, $\gamma$ is density of soil and H is the height of the slope).

• A. $\frac{c}{F_c\gamma }$
• B. $\frac{c}{\gamma H}$
• C. $\frac{c}{F_c\gamma H}$
• D. $\frac{c}{F_c(\gamma +H)}$

Answer 1

The correct option is C $\frac{c}{F_c\gamma H}$

A dimensionless parameter called a Taylor's stability number is often useful for the analysis of slopes of $c-\varphi$ soils and can be defined by the following equation:

$S_n=\frac{C_m}{\gamma H}=\frac{C}{F_c\gamma H}=co{s}^{2}i(tani-tan\varphi )$