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Riprap Sizing Calculator

Maynord (USACE EM 1110-2-1601) and Isbash (1936) riprap sizing for embankment slope protection, channel bank armor, and outfall protection. Returns recommended D30, D50, gradation envelope, and required layer thickness. Includes side-slope and bend correction factors per the EM.

ft/s
ft
— (use 0 for channel bottom)
— (limestone 2.65, granite 2.70)
degrees
ft
ft
ft
ft
ft
ft
ft

EM 1601 fixed factors: Sf = 1.1 (safety), Cs = 0.30 (riprap shape, blanket thickness), Ct = 1.0 (thickness factor for T = 1·D100). For a flat channel bottom, set side slope n = 0.

$$ K_1 = \sqrt{1 - \frac{\sin^2\theta}{\sin^2\varphi}}, \quad C_v = \begin{cases}1.283-0.2\log_{10}(R_c/W) & R_c/W \le 26 \\ 1 & \text{else}\end{cases} $$
θ side-slope angle = arctan(1/n) · φ stone angle of repose · Rc bend centerline radius · W water-surface width.

Side-slope correction factor K1

K1 for stone angle of repose φ = 40°
Side slope (V:H)θ (°)K1
1:1.533.70.74
1:2 (typical embankment)26.60.85
1:2.521.80.91
1:318.40.94
Horizontal (channel bottom)01.00

Worked example

Example — channel bank at a bend

Given: V = 10 ft/s, y = 6 ft, side slope 1V:2H, SG = 2.65, Rc = 200 ft, W = 50 ft.
θ = arctan(1/2) = 26.6° → K1 = √(1 − sin²26.6°/sin²40°) = 0.85
Rc/W = 200/50 = 4.0 → Cv = 1.283 − 0.2·log10(4.0) = 1.16
D30/y = 1.1·0.30·1.16·1.0 · [√(1/(2.65−1)) · 10/√(0.85·32.2·6)]2.5
= 0.383 · [0.778 · 10/12.81]2.5 = 0.383 · 0.60762.5 = 0.383 · 0.289 = 0.111
D30 = 0.111 · 6 = 0.665 ft = 8.0 inches
D50 = 1.18·D30 = 0.78 ft = 9.5 in · T = 1.5·D50 ≈ 14 in

Recommended riprap gradation

Typical gradation envelope (USACE EM 1110-2-1601, Table 3-1)
Percent finer by weightd/D50 (typical)
D100 (max)1.5
D851.30
D501.00
D300.85
D150.70

References: USACE EM 1110-2-1601 (1991), Hydraulic Design of Flood Control Channels, Chapter 3. Maynord, S.T. (1988). Stable Riprap Size for Open Channel Flows. USACE WES Tech. Rept. HL-88-4. Isbash, S.V. (1936). Construction of Dams by Depositing Rock in Running Water. Trans. 2nd Cong. Large Dams, Washington DC.

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