Question

5.3.4 A trapezoidal-shaped channel has n = 0.014, slope $S_0$ of 0.0002, a 20-ft bottom width and side slopes of 1 vertical to 1.5 horizontal. If the channel is preceded by a steep slope and followed by a mild slope and a sluice gate as shown in Figure P5.3.4, sketch a possible water surface profile. Consider a discharge of 1500 cfs. For this discharge, the normal depth for a slope of 0.0003 is 8.18 ft and for a slope of 0.0002 is 9.13 ft.

Name: 5.3.4 A trapezoidal-shaped channel has n = 0.014, slope S0 of 0.0002, a 20-ft bottom width and side slopes of 1 vertical to 1.5 horizontal. If the channel is preceded by a steep slope and followed by a mild slope and a sluice gate as shown in Figure P5.3.4, sketch a possible water surface profile. Consider a discharge of 1500 cfs. For this discharge, the normal depth for a slope of 0.0003 is 8.18 ft and for a slope of 0.0002 is 9.13 ft.
Uploaded: 2023-08-16T08:10:52-08:00
Duration: 2 min 29 s
Channel: Adi S

          5.3.4 A trapezoidal-shaped channel has n = 0.014, slope $S_0$ of 0.0002, a 20-ft bottom width and side slopes of 1 vertical to 1.5 horizontal. If the channel is preceded by a steep slope and followed by a mild slope and a sluice gate as shown in Figure P5.3.4, sketch a possible water surface profile. Consider a discharge of 1500 cfs. For this discharge, the normal depth for a slope of 0.0003 is 8.18 ft and for a slope of 0.0002 is 9.13 ft.

Added by Rachel T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

08/16/2023

Step 1

Given that the bottom width is 20 ft and the side slopes are 1 vertical to 1.5 horizontal, we can calculate the top width of the channel. Top width = bottom width + 2 * side slope * depth Top width = 20 + 2 * 1.5 * normal depth Top width = 20 + 2 * 1.5 * 9.13 Top Show more…

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5.3.4 A trapezoidal-shaped channel has n = 0.014, slope So of 0.0002, a 20-ft bottom width, and side slopes of 1 vertical to 1.5 horizontal. If the channel is preceded by a steep slope and followed by a mild slope and a sluice gate as shown in Figure P5.3.4, sketch a possible water surface profile. Consider a discharge of 1500 cfs. For this discharge, the normal depth for a slope of 0.0003 is 8.18 ft and for a slope of 0.0002 is 9.13 ft. Given: n = 0.014 So = 0.0002 Bottom width = 20 ft Side slopes = 1 vertical to 1.5 horizontal Discharge = 1500 cfs Normal depth for slope 0.0003 = 8.18 ft Normal depth for slope 0.0002 = 9.13 ft Formulas: S = 0.002 So = 0.0003 Figure P5.3.4