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

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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HYDRAULICS/FLUID MECHANICS

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

Branch of science that deals with the stationary and moving bodies under the influence of forces.

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