The rectangular gate CD is 1.8 m wide and 2 m long as shown in the figure below. Water 2.0 m 2.0 m Hinge 3. D y 1. Extrapolate line CD to the surface and establish your origin and xy coordinate system. 2. Estimate the distance y, from surface to the centroid of the gate. 3. Estimate the vertical distance h, from the surface to the centroid of the gate. 4. Estimate the magnitude of the resultant force (due to water column) applied on the gate, FR. 5. Estimate the distance yR from surface to the pressure point. 6. Draw on the figure above an arrow for the resultant force (FR) calculated in part (4) above. 7. Determine the weight of the gate necessary to keep it closed.

The rectangular gate CD is 1.8 m wide and 2 m long as shown in the figure below. Water 2.0 m 2.0 m Hinge 3. D y 1. Extrapolate line CD to the surface and establish your origin and xy coordinate system. 2. Estimate the distance y, from surface to the centroid of the gate. 3. Estimate the vertical distance h, from the surface to the centroid of the gate. 4. Estimate the magnitude of the resultant force (due to water column) applied on the gate, FR. 5. Estimate the distance yR from surface to the pressure point. 6. Draw on the figure above an arrow for the resultant force (FR) calculated in part (4) above. 7. Determine the weight of the gate necessary to keep it closed.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.117P: The concrete dam shown in cross section holds back fresh water (=1000kg/m3). Determine the resultant...

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Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

The rectangular gate CD is 1.8 m wide and 2 m long as shown in the figure below.
Water
2.0 m
2.0 m
Hinge
y
1. Extrapolate line CD to the surface and establish your origin and xy coordinate system.
2. Estimate the distance y. from surface to the centroid of the gate.
3. Estimate the vertical distance he from the surface to the centroid of the gate.
4. Estimate the magnitude of the resultant force (due to water column) applied on the gate, FR.
5. Estimate the distance yR from surface to the pressure point.
6. Draw on the figure above an arrow for the resultant force (FR) calculated in part (4) above.
7. Determine the weight of the gate necessary to keep it closed.

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