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MANNINGS FLOW EQUATIONS As <br />CANON CITY QUARRY - GRASS LINED SLOPE DRAINAGE DITCHES (Q100 = 11.9 CFS) <br />BOTTOM WIDTH (B) (FT) <br />= 0.00 <br />AREA (A) _ <br />(B + ((0.5 * D) / TAN O,) + ((0.5 * D) / TAN OR)) * D <br />= 4.659 <br />SOFT <br />DEPTH (D) (FT) <br />= 1.00 <br />SIDE SLOPE ANGLE (LEFT)(OL) <br />= 20.67 = 0.3608 <br />WETTED PERIMETER (P) = <br />B + (D / SIN OL) + (D / SIN OR) <br />= 9.5740 <br />FT <br />SIDE SLOPE ANGLE (RIGHT)(OR) <br />= 8.531 = 0.1489 <br />TOP WIDTH (T) (FT) <br />= 9.32 <br />HYDRAULIC RADIUS (R) = <br />A / P <br />= 0.4866 <br />FT <br />SLOPE (S) (FT/FT) <br />= 0.01 <br />MANNINGS NUMBER (N) <br />= 0.030 <br />CONVEYANCE (Q) _ <br />(1.486 / N) * A * R(ti') * Snm <br />= 14.28 <br />CFS <br />VELOCITY (V) = <br />Q / A <br />= 3.06 <br />FT/S <br />TYPICAL MANNINGS NUMBERS <br />CONCRETE <br />= 0.013 <br />SMOOTH EARTH <br />= 0.018 <br />FIRM GRAVEL <br />= 0.023 <br />NATURAL CHANNEL, GOOD <br />= 0.025 <br />NATURAL CHANNEL, ROUGH <br />= 0.035 <br />NATURAL CHANNEL, VERY POOR <br />= 0.060 <br />TYPE VL RIPRAP <br />= 0.031 <br />TYPE L RIPRAP <br />= 0.033 <br />TYPE M RIPRAP <br />= 0.035 <br />TYPE H RIPRAP <br />= 0.037 <br />TYPE VH RIPRAP <br />= 0.039 <br />TYPICAL SIDE SLOPES <br />1.0:1 SLOPE <br />= 45.000 <br />1.5:1 SLOPE <br />= 33.690 <br />2.0:1 SLOPE <br />= 26.565 <br />2.5:1 SLOPE <br />= 21.801 <br />3.0:1 SLOPE <br />= 18.435 <br />OPEN DITCH <br />