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Equivalent radius of backfill

Equivalent radius of the backfill area.

Symbol
$r_b$
Unit
mm
Formulae
$e^{\frac{b_x}{2b_y} \left(\frac{4}{\pi}-\frac{b_x}{b_y}\right) \ln\left(1+\left(\frac{b_y}{b_x}\right)^2\right)+\ln\left(\frac{b_x}{2}\right)}$rectangular backfill
$\frac{D_b}{2}$circular backfill
Related
$b_x$
Shorter side of backfill [mm]
$b_y$
Longer side of backfill [mm]
$D_b$
Diameter of the backfill [mm]
$\pi$
Archimedes' constant $\pi$
Used in
$u_b$
Substitution coefficient u