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OCR for page 53
53
LIST OF SYMBOLS
Symbol Description Units Dimensions
a Pier width ft (m) L
a* Projected width of pier ft (m) L
B Rectangular channel width ft (m) L
D50 Median grain diameter mm L
Fdi Densimetric particle Froude number for -- --
inception of scour
Fr Froude Number of the approach flow -- --
Frc Critical Froude Number of the approach flow -- --
g Acceleration of gravity ft/s2 (m/s2) L/T2
K3 Factor for mode of sediment transport -- --
K4 Factor for armoring by bed material -- --
Ks Pier shape factor -- --
K Discharge approach angle correction -- --
Kw Wide pier correction factor -- --
q Average discharge intensity upstream from ft3/s (m3/s) L3/s
the bridge
q2 Local discharge intensity in contracted channel ft3/s (m3/s) L3/s
R Hydraulic radius ft (m) L
Ss Specific gravity of bed sediment -- --
t Time s, h, day T
te Time to "end" scour Kothyari et al. (2007) s, h, day T
u* Shear velocity in the upstream section ft/s (m/s) L/T
u*c Sediment critical shear velocity ft/s (m/s) L/T
V1 Average velocity at upstream main channel ft/s (m/s) L/T
Vc Sediment critical velocity for D50 ft/s (m/s) L/T
Vc84 Sediment critical velocity for D84 ft/s (m/s) L/T
Vlp1 Velocity used in computing "live-bed peak velocity" ft/s (m/s) L/T
Vlp2 Velocity used in computing "live-bed peak velocity" ft/s (m/s) L/T
y1 Average depth in the upstream main channel ft (m) L
yr Regime depth ft (m) L
ys Equilibrium scour depth ft (m) L
yst Time dependent scour depth ft (m) L
Flow skew angle radians Plane Angle
Kinematic viscosity ft2/s (m2/s) L2/T
OCR for page 54
54
Symbol Description Units Dimensions
Density of water slugs/ft3 (kg/m3) FT2/L4
s Density of sediment slugs/ft3 (kg/m3) FT2/L4
g Geometric standard deviation of particle size --
distribution
1 Grain roughness component of bed shear stress lbf/ft2 (kPa) F/L2
c Critical shear stress at threshold of motion lbf/ft2 (kPa) F/L2
Angle of repose of bed sediment radians Plane Angle