Answer question 28 to 33 28. A rectangular plate 1 m wide by 2 m long is immersed in water of density 1000 kg/m. Theshorter side is parallel to the water surface and 0.5 m below it. The longer side is inclined at 60°to the vertical. Calculate the magnitude, direction and location of the force acting on one sideof the plate due to water pressure.29. A bridge across a river has an elevation as shown. When the river is in flood, the upstreamwater surface is level with the road surface and the downstream level is 5 m below it. Assumingthe pressure distribution to be hydrostatic, calculate a) the horizontal thrust upon the bridgeand b) the overturning moment acting upon it.0.92mNinge13m3.1 m25 m3.1 x3.1 sq. gate5mStopperFig. for Q 29Fig. for Q 3030. Determine the force due to hydrostatic pressure, acting on the hinge of the gate.31. The rectangular gate AB is 3.05 m x 1.22 m in dimension and its pin connected at the pointB. If the surface on which the gate rests at A is frictionless, what is the reaction at A?32. A vertical gate 20m x 5m is hinged in a stream as shown in the diagram above. The gate isheld in its position by four cables at the top. Calculate:i) The resultant hydrostatic force on the gateii) The tension in each cableiii)The horizontal reaction of the hinge2 mcable3.05 x 1.22 gate30°H;=20 mhinge33. A 1m diameter flood gate placed vertically is 4m below the water level at its highest point.The gate is hinged at the top. Compute the resultant hydrostatic force on the gate and thepoint of action of this force. Compute also the horizontal force to be applied at the bottom ofthe gate in order to open it. The water level at the downstream of the gate is 0.5m.

Answered: Image /qna-images/answer/6364ab91-f85c-4613-af4d-6450f4a4a585.jpg

28. A rectangular plate 1 m wide by 2 m long is immersed in water of density 1000 kg/m. The shorter side is parallel to the water surface and 0.5 m below it. The longer side is inclined at 60° to the vertical. Calculate the magnitude, direction and location of the force acting on one side of the plate due to water pressure.

28. A rectangular plate 1 m wide by 2 m long is immersed in water of density 1000 kg/m. The shorter side is parallel to the water surface and 0.5 m below it. The longer side is inclined at 60° to the vertical. Calculate the magnitude, direction and location of the force acting on one side of the plate due to water pressure.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Section: Chapter Questions

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Answer question 28 to 33

28. A rectangular plate 1 m wide by 2 m long is immersed in water of density 1000 kg/m. The
shorter side is parallel to the water surface and 0.5 m below it. The longer side is inclined at 60°
to the vertical. Calculate the magnitude, direction and location of the force acting on one side
of the plate due to water pressure.
29. A bridge across a river has an elevation as shown. When the river is in flood, the upstream
water surface is level with the road surface and the downstream level is 5 m below it. Assuming
the pressure distribution to be hydrostatic, calculate a) the horizontal thrust upon the bridge
and b) the overturning moment acting upon it.
0.92m
Ninge
13m
3.1 m
25 m
3.1 x3.1 sq. gate
5m
Stopper
Fig. for Q 29
Fig. for Q 30
30. Determine the force due to hydrostatic pressure, acting on the hinge of the gate.
31. The rectangular gate AB is 3.05 m x 1.22 m in dimension and its pin connected at the point
B. If the surface on which the gate rests at A is frictionless, what is the reaction at A?
32. A vertical gate 20m x 5m is hinged in a stream as shown in the diagram above. The gate is
held in its position by four cables at the top. Calculate:
i) The resultant hydrostatic force on the gate
ii) The tension in each cable
iii)The horizontal reaction of the hinge
2 m
cable
3.05 x 1.22 gate
30°
H;=20 m
hinge
33. A 1m diameter flood gate placed vertically is 4m below the water level at its highest point.
The gate is hinged at the top. Compute the resultant hydrostatic force on the gate and the
point of action of this force. Compute also the horizontal force to be applied at the bottom of
the gate in order to open it. The water level at the downstream of the gate is 0.5m.

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