A rectangular plate 1 m wide by 2 m long is immersed in water of density 1000 kg/m3. The shorter side is parallel to the water surface and 0.5 m below it. The longer side is inclined at 60o 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 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. Determine the force due to hydrostatic pressure, acting on the hinge of the gate.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? 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 gateii) The tension in each cableiii)The horizontal reaction of the hinge 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. Determine the minimum volume of concrete (γ 23.6kN/m3) needed to keep the 0.305m wide gate in a closed position. The gate is hinged at the bottom.

Given data density of water=1000kg/m3L=2mB=1mθ=600l=2sin(600)=0.6096area of plate=2×1=2m2…

Answered: A rectangular plate 1 m wide by 2 m…

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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A rectangular plate 1 m wide by 2 m long is immersed in water of density 1000 kg/m³. The shorter side is parallel to the water surface and 0.5 m below it. The longer side is inclined at 60^o 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 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.

Determine the force due to hydrostatic pressure, acting on the hinge of the gate.
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?

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

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.

Determine the minimum volume of concrete (γ 23.6kN/m³) needed to keep the 0.305m wide gate in a closed position. The gate is hinged at the bottom.

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