ys /y1 = 2 K1 K2 K3 (a / y1)0.65 Fr10.43
[ SI Units (metric): ys, y1, a, and L in m ] [ U.S. Customary Units: ys, y1, a, and L in ft ] [ Fr = Froude number; g = gravitational acceleration ]
Reference:
Evaluating Scour at Bridges,FHWA Hydraulic Engineering Circular No. 18, Fifth Edition, 2012.
To determine the bridge scour depth ys, the calculator requires the following information:
Flow depth directly upstream of the pier y1 = 5.334 m
Mean flow velocity directly upstream of the pier v1 = 7.15 m/s
Pier width in a horizontal direction normal to the flow a = 4.52 m
Pier length L = 5.1 m
Angle of attack θ of the flow, θ = 0°
Pier nose shape, to determine the correction factor K1 ⇒ Circular cylinder
The bed condition, to determine the correction factor K3 ⇒ Clear-water scour
Scour depth ys = 10.484 m