As per Rankine's formula, the minimum depth of foundation in cohesionless soil is equal to

Where q = safe bearing capacity

θ = angle of internal friction

w = unit weight of soil

1
\(\rm\frac{q}{w}\left(\frac{1+\sin \theta}{1−\sin \theta}\right)^2\)
2
\(\rm\frac{q}{w}\left(\frac{1−\sin \theta}{1+\sin \theta}\right)^2\)
3
\(\rm\frac{q}{w}\left(\frac{1−\sin \theta}{1+\sin \theta}\right)\)
4
\(\rm\frac{q}{w}\left(\frac{1+\sin \theta}{1−\sin \theta}\right)\)

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