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![]() Appendix A: Design Procedure for Riprap Armor 
2. 
Find Vss using Figure A.2. 
3. 
Find D30 using Equation (A.3). 
4. 
A PC-based computer program of this procedure is available from the U.S. 
Army Engineer Waterways Experiment Station. 
(c) This procedure can be used in both natural channels with bank protection 
only and prismatic channels having riprap on bed and banks. Most bank 
protection sections can be designed by direct solution. In these cases, the 
extent of the bank compared to the total perimeter of the channel means that 
the average channel velocity is not significantly affected by the riprap. 
Example 1 demonstrates this procedure. 
1. 
Example 1 
a. Problem. Determine stable riprap size for the outer bank of a 
natural channel bend in which maximum velocity occurs at bank- 
full flow. Water-surface profile computations at bank-full flow 
show an average channel velocity of 7.1 feet per second and a 
depth at the toe for the outer bank of 15 feet. The channel is 
sufficiently wide so that the added resistance on the outer bank will 
not significantly affect the computed average channel velocity (true 
in many natural channels). Quarries likely to be used for the 
project have rock weighing 165 pounds per cubic foot and 
routinely produce the 12-, 18-, and 24-inches D  100(max) gradations 
shown in Table A.1. A bank slope of 1V on 2H has been selected 
based on geotechnical analysis. A blanket thickness of 1D100(max) 
will be used in this design. Bend radius is 620 ft and water-surface 
width is 200 ft. 
b. Solution. Using Figure A.2, the maximum bend velocity (Vss) is 
1.48 (7.1) or 10.5 feet per second. The side slope depth at 20 
percent up the slope from the toe is 12 ft. Using Equation (A.3), 
the required D30 is 0.62 ft. From Table A.1, the 18-in. D100(max) 
gradation has D30(min) = 0.73 ft is the minimum routinely produced 
example, the actual safety factor of (1.1(0.73/0.62)) = 1.3 results 
from using standard gradations to avoid the extra production costs 
incurred by specifying a custom gradation for every design 
condition. 
A-24 
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