This page shows the horizontal curve design speed formula to calculate the optimum speed or the safe speed for a vehicle to pass at a horizontal curve when V is greater or lesser than 50mph. The safe speed is given as V=(((-0.03 × r)+((((.03 × r) × (.03 × r))+((4 × r) × ((15 × (e/100))+3.6)))))/2), Where, V = Safe Speed for Horizontal Curve, r = Radius of Horizontal Curve, e = Super Elevation. For V is less than 50mph then, V = ((( -.015 × rhname ) + ( √ ((( .015 × rhname ) × ( .015 × rhname )) + ((4 × rhname) × (( 15 × ( ehname / 100 )) + 2.85 ))))) / 2). The horizontal curve formulas is essential for road construction engineers.
Horizontal curve design speed formulas are necessary for gradual change in direction when a direct point of intersection is not feasible. Ex. Highways, Interstates, high speed roads with constant flow of traffic.