The sluice gate in the figure can control and measure flow in open channels. At sections 1 and 2, the flow is uniform and the pressure is hydrostatic. The channel width is b into the paper. Neglecting bottom friction, a.) Derive an expression for the force F required to hold the gate. b.) For what condition h₂/h₁ is the force largest? c.) For very low velocity V2 << gh₁, for what value of h₂/h, will the force be one - half of the maximum? ! Sluice gate, width b K2
The sluice gate in the figure can control and measure flow in open channels. At sections 1 and 2, the flow is uniform and the pressure is hydrostatic. The channel width is b into the paper. Neglecting bottom friction, a.) Derive an expression for the force F required to hold the gate. b.) For what condition h₂/h₁ is the force largest? c.) For very low velocity V2 << gh₁, for what value of h₂/h, will the force be one - half of the maximum? ! Sluice gate, width b K2
Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN:9781305081550
Author:Braja M. Das
Publisher:Braja M. Das
Chapter6: Vertical Stress Increase In Soil
Section: Chapter Questions
Problem 6.4P: Refer to Figure P6.4. A strip load of q = 900 lb/ft2 is applied over a width B = 36 ft. Determine...
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Transcribed Image Text:The sluice gate in the figure can control and measure flow in open channels.
At sections 1 and 2, the flow is uniform and the pressure is hydrostatic. The
channel width is b into the paper. Neglecting bottom friction,
a.) Derive an expression for the force F required to hold the gate.
b.) For what condition h₂/h₁ is the force largest?
c.) For very low velocity V2 << gh₁, for what value of h₂/h, will the force be one -
half of the maximum?
*30*
DII
Sluice
gate. width
F
V₂
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