Flow enters a long, rectangular channel at its upstream end from under a sluice gate. The channel has b = 3 ft, n = 0.013, and S0 = 0.02. The flow depth at the entrance (opening) is 0.6 ft and the discharge is 30 cfs. 1) Find the normal and critical depths and identify them on the Picture2) Classify the slope and identify the transition profile (M1, M2, S1 etc). Sketch the water surface profile by hand (qualitatively) on the Picture. The diagram illustrates a section of a water flow system featuring a sluice gate. ### Key Elements:1. **Sluice Gate**: - Positioned vertically on the left side of the diagram. - Shown as a thick, vertically striped line to represent the barrier controlling water flow.2. **Water Flow Path**: - Two dashed lines extend from the base of the sluice gate towards the right, suggesting the flow of water. - The lines indicate different potential water surfaces, possibly representing varying flow rates or water levels.3. **Inclined Plane**: - A shaded, diagonal line at the bottom, indicating the surface or bed on which water flows. - The inclination suggests a downhill flow direction.4. **Coordinate Axis**: - A horizontal arrow labeled "x" indicating direction or distance downstream from the sluice gate.### Educational Context:This diagram can be used to study fluid dynamics, particularly the behavior of water as it passes through a sluice gate and flows over an inclined surface. It helps in understanding concepts such as flow rate, hydraulic jumps, and energy changes in open channel flow systems.

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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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Flow enters a long, rectangular channel at its upstream end from under a sluice gate. The channel has b = 3 ft, n = 0.013, and S0 = 0.02. The flow depth at the entrance (opening) is 0.6 ft and the discharge is 30 cfs.
1) Find the normal and critical depths and identify them on the Picture
2) Classify the slope and identify the transition profile (M1, M2, S1 etc). Sketch the water surface profile by hand (qualitatively) on the Picture.

The diagram illustrates a section of a water flow system featuring a sluice gate.

### Key Elements:
1. **Sluice Gate**:
- Positioned vertically on the left side of the diagram.
- Shown as a thick, vertically striped line to represent the barrier controlling water flow.

2. **Water Flow Path**:
- Two dashed lines extend from the base of the sluice gate towards the right, suggesting the flow of water.
- The lines indicate different potential water surfaces, possibly representing varying flow rates or water levels.

3. **Inclined Plane**:
- A shaded, diagonal line at the bottom, indicating the surface or bed on which water flows.
- The inclination suggests a downhill flow direction.

4. **Coordinate Axis**:
- A horizontal arrow labeled "x" indicating direction or distance downstream from the sluice gate.

### Educational Context:
This diagram can be used to study fluid dynamics, particularly the behavior of water as it passes through a sluice gate and flows over an inclined surface. It helps in understanding concepts such as flow rate, hydraulic jumps, and energy changes in open channel flow systems.

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