rectangular plate m wide by 2m long immersed waler of density 1000 kelm the shorter side paralle

1. First, we need to find the pressure at the centroid of the plate. The centroid of the rectang

Question

Rectangular plate 1m wide by 2m long immersed in water of density 1000 kg/m³. The shorter side is parallel to the water surface and 0.5m 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. A bridge across the 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 below it. Assuming the pressure distribution to be hydrostatic, calculate the horizontal thrust upon the bridge and the overturning moment acting upon it. 30. Determine the force due to hydrostatic pressure acting on the hinge of the gate. 31. The rectangular gate AB is 0.5m x 1.22m in dimension and its pin is connected at the point B. If the surface on which the gate rests at A is frictionless, what is the reaction at A? Vertical gate Hinged in a stream as shown in the diagram above. The gate is held in its position by four cables at the top. Calculate: - The resultant hydrostatic force on the gate - The tension in each cable - The horizontal reaction of the hinge Hinge = 1m diameter flood gate placed vertically 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.

Rectangular plate 1m wide by 2m long immersed in water of density 1000 kg/m³. The shorter side is parallel to the water surface and 0.5m 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. A bridge across the 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 below it. Assuming the pressure distribution to be hydrostatic, calculate the horizontal thrust upon the bridge and the overturning moment acting upon it.

30. Determine the force due to hydrostatic pressure acting on the hinge of the gate.
31. The rectangular gate AB is 0.5m x 1.22m in dimension and its pin is connected at the point B. If the surface on which the gate rests at A is frictionless, what is the reaction at A?

Vertical gate
Hinged in a stream as shown in the diagram above. The gate is held in its position by four cables at the top. Calculate:
- The resultant hydrostatic force on the gate
- The tension in each cable
- The horizontal reaction of the hinge

Hinge = 1m diameter flood gate placed vertically 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.

Added by John E.

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