3. A detention pond has the shape of an inverted truncated pyramid, shown below. It has a rectangular bottom of dimension 120 x 80 ft, a maximum depth of 5 ft, and uniform side slopes of 3:1 (horizontal:vertical). Hence the dimensions at 5-ft depth are also rectangular, with length 150 ft and width 110 ft. The outlet from the basin behaves as an orifice, with a diameter of 1 ft and a discharge coefficient of 0.9. The opening of the orifice (a pipe draining from the center of the basin) is effectively at a depth of zero (i.e., at the bottom of the pond). (The pond floor would typically slope toward the outlet, but this slope will be ignored in this problem. In addition, the orifice will be assumed to follow its theoretical behavior even at very small depths.) a. What is the volume of the pond, in ft³ and ac-ft? b. Develop the depth-vs.-surface-area and depth-vs.-volume curves for the pond. Tabulate the outflow discharge (cfs) through the orifice using the orifice equation given below. Use 1-ft intervals. Tabulate and plot. Q = CaAo√√2g(h-ho) where ca = discharge coefficient, Ao = area of orifice, h = water surface elevation, ho = elevation of orifice centerline Base

3. A detention pond has the shape of an inverted truncated pyramid, shown below. It has a rectangular bottom of dimension 120 x 80 ft, a maximum depth of 5 ft, and uniform side slopes of 3:1 (horizontal:vertical). Hence the dimensions at 5-ft depth are also rectangular, with length 150 ft and width 110 ft. The outlet from the basin behaves as an orifice, with a diameter of 1 ft and a discharge coefficient of 0.9. The opening of the orifice (a pipe draining from the center of the basin) is effectively at a depth of zero (i.e., at the bottom of the pond). (The pond floor would typically slope toward the outlet, but this slope will be ignored in this problem. In addition, the orifice will be assumed to follow its theoretical behavior even at very small depths.) a. What is the volume of the pond, in ft³ and ac-ft? b. Develop the depth-vs.-surface-area and depth-vs.-volume curves for the pond. Tabulate the outflow discharge (cfs) through the orifice using the orifice equation given below. Use 1-ft intervals. Tabulate and plot. Q = CaAo√√2g(h-ho) where ca = discharge coefficient, Ao = area of orifice, h = water surface elevation, ho = elevation of orifice centerline Base

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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