Calculators›Geodesy›Profiles and gradients

Geodesy

Profiles and gradients

Gradients, angles, design elevations, cuts and fills.

Profile gradient

i = (H₂ − H₁) / L→Geodesy

Gradient in percent

i% = (H₂ − H₁) / L × 100→Geodesy

Gradient per mille

i‰ = (H₂ − H₁) / L × 1000→Geodesy

Profile slope angle

α = atan((H₂ − H₁) / L)→Geodesy

Design elevation from gradient

H = H₀ + iL→Geodesy

Cut or fill depth

hᵣ = Hproject − Hground→Geodesy

Longitudinal grade percent from rise

i% = ΔH / L × 100→Geodesy

Longitudinal grade per mille from rise

i‰ = ΔH / L × 1000→Geodesy

Angle from percent grade

α = arctan(i% / 100)→Geodesy

Design rise from percent grade

ΔH = i%·L / 100→