Boussinesq (1985) evolved equations that can be used to determine stresses at any point P at a depth z as a result of a surface point load.

vertical-pressure-within-an-earth-mass-for-boussinesqs-equation
Vertical pressure within an earth mass

Boussinesq's Formula Equation

At point P of above figure due to a point load Q,

\[Vertical\hspace{.2cm}{stress}, \sigma_{z}=\frac{3Q}{2\pi{z^{2}}}\frac{1}{[1+(r/z)^{2}]^{5/2}}=\frac{Q}{z^{2}}I_{B}\]

where,

r = the horizontal distance between an arbitrary point P below the surface and the vertical axis through the point load Q.

z = the vertical depth of the point P from the surface.

IB = Boussinesq stress coefficient = \[\frac{3}{2\pi}\frac{1}{[1+(r/z)^{2}]^{5/2}}\]

 

Relate Article

 

Disclaimer

Please note that the information in Civiltoday.com is designed to provide general information on the topics presented. The information provided should not be used as a substitute for professional services.

Subscribe Us

To get regular update and new article notification please subscribe us.