Stage vs. Storage (Detention Basin 3 horizontal to I vertical (that is, Z-3), an

Question

Stage vs. Storage (Detention Basin 3 horizontal to I vertical (that is, Z-3), and a maximum depth (D) of 4.5 m, is used to reduce peak runoff from a small watershed. Tabulate the stage versus storage volume (V) relationship at 0.1-m increments. ntion pond with base of dimensions W-14.5 m and L 28.5 m, side slopes of Hint: According to HEC-22 (Third Edition. 2009), the volume of a trapezoidal basin can be calculated in a manner similar to that of rectangular basins by dividing the volume into triangular rectangular shaped components and applying the equation listed below. The variables in the equation are illustrated by the following figure: 1 D where: V- Volume at a specific depth, m (ft) D = Depth of ponding or basin, m (ft) L = Length of basin at base, m (ft) w = width of basin at base, m (ft) Z- Side slope factor; side slope is I to 2 (V:H). "Z" will be equal to 2 ratio of horizontal to vertical components of side slope; Example- if the

Explanation / Answer

1) stage vs storage

given formula

V= LWD + (L+W)D2 + +4/3 Z2 D3

stage sted D'=0.1 m

Z=3 , L=28.5 m W=14.5 m

and D=4.5 m

at D= 0.1 m

first step

V= 28.5*14.5*0.1 +(28.5+14.5)*0.12 + 4/3*32*0.13 = 42.627 m3

remaining can be calculated in tabulated form as

thanks

stage depth (D) m storage volume (m^3) 0.1 42.627 0.2 87.906 0.3 135.909 0.4 186.708 0.5 240.375 0.6 296.982 0.7 356.601 0.8 419.304 0.9 485.163 1 554.25 1.1 626.637 1.2 702.396 1.3 781.599 1.4 864.318 1.5 950.625 1.6 1040.592 1.7 1134.291 1.8 1231.794 1.9 1333.173 2 1438.5 2.1 1547.847 2.2 1661.286 2.3 1778.889 2.4 1900.728 2.5 2026.875 2.6 2157.402 2.7 2292.381 2.8 2431.884 2.9 2575.983 3 2724.75 3.1 2878.257 3.2 3036.576 3.3 3199.779 3.4 3367.938 3.5 3541.125 3.6 3719.412 3.7 3902.871 3.8 4091.574 3.9 4285.593 4 4485 4.1 4689.867 4.2 4900.266 4.3 5116.269 4.4 5337.948 4.5 5565.375

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