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Units in riprap stone sizing calculator: ft=foot, knots=nautical miles per hour, m=meter, mph=miles per hour.
Riprap in a River
Riprap Sizing
Riprap is used for erosion control, to prevent scour, and to minimize sediment transport in rivers and streams.
A stable riprap rock size is desired.
The Isbash equation computes the smallest diameter stone D having specific gravity S that if dropped in water
flowing at velocity V will settle and remain stationary on the channel bed (Blevins, 2003, p. 218; NCHRP, 2006, p. 14).
Our calculation will also solve the equation in reverse. In that case, riprap rock size D is entered. The computed water velocity V is the maximum water velocity
at which the riprap will remain in place.
The variables in the riprap sizing equation are (units shown in SI, but our calculation allows a variety of units):
C = Isbash constant. Per references below, C=0.86 for highly turbulent conditions or C=1.2 for low turbulence.
D = Median diameter of spherical stone or rock. Also known as D_{50} (m).
g = Acceleration due to gravity, 9.8066 m/s^{2}.
S = Specific gravity of stone or rock. Typically varies from 2.56 to 2.92 depending on the rock material. A commonly used value is 2.65.
V = Water velocity approaching the riprap (m/s).
References
Blevins, Robert D. 2003. Applied Fluid Dynamics Handbook. Krieger Publishing Co.
National Cooperative Highway Research Program [NCHRP]. 2006. Riprap Design Criteria, Recommended Specifications, and
Quality Control. Report 568. Transportation Research Board. Retrieved from http://onlinepubs.trb.org/onlinepubs/nchrp/nchrp_rpt_568.pdf
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Please contact us for consulting or questions about riprap sizing.
LMNO Engineering, Research, and Software, Ltd.
7860 Angel Ridge Rd. Athens, Ohio 45701 USA Phone: (740) 7072614
LMNO@LMNOeng.com https://www.LMNOeng.com
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