Equivalent radius backfill

Equivalent radius of the backfill area.

Symbol

$r_{b}$

Unit

Formulas

$e^{\frac{\operatorname{Min}\left(w_{b}, h_{b}\right)}{2\operatorname{Max}\left(w_{b}, h_{b}\right)} \left(\frac{4}{\pi}-\frac{\operatorname{Min}\left(w_{b}, h_{b}\right)}{\operatorname{Max}\left(w_{b}, h_{b}\right)}\right) \ln\left(1+\left(\frac{\operatorname{Max}\left(w_{b}, h_{b}\right)}{\operatorname{Min}\left(w_{b}, h_{b}\right)}\right)^2\right)+\ln\left(\frac{\operatorname{Min}\left(w_{b}, h_{b}\right)}{2}\right)}$

rectangular backfill

$\frac{d_{b}}{2}$

circular backfill

Related

$d_{b}$

Diameter backfill [mm]

$h_{b}$

Height backfill [mm]

$\pi$

Archimedes' constant $\pi$

$w_{b}$

Width backfill [mm]