Hydrostatic Forces on Surfaces

A circular plate of 3 m diameter is under water with its plane making an angle of 30° with the water surface. If the top edge of the plate is 1 m below the water surface, find the force on one side of the plate and its location.

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Inclined Circular Plate Problem Problem Statement A circular plate of 3 m diameter is under water with its plane making […]

A circular plate of 3 m diameter is under water with its plane making an angle of 30° with the water surface. If the top edge of the plate is 1 m below the water surface, find the force on one side of the plate and its location. Read More »

A tank contains water up to a height of 10 m. One of the sides of the tank is inclined. The angle between the free surface of water and the inclined side is 60°. The width of the tank is 5 m. Find: (i) the force exerted by water on the inclined side and (ii) the position of the centre of pressure.

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Inclined Tank Side Problem Problem Statement A tank contains water up to a height of 10 m. One of the

A tank contains water up to a height of 10 m. One of the sides of the tank is inclined. The angle between the free surface of water and the inclined side is 60°. The width of the tank is 5 m. Find: (i) the force exerted by water on the inclined side and (ii) the position of the centre of pressure. Read More »

A circular plate of diameter 3 m is immersed in water in such a way that its least and greatest depth from the free surface of water are 1 m and 3 m respectively. For the front side of the plate, find (i) total force exerted by water and (ii) the position of centre of pressure.

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Inclined Circular Plate Problem Problem Statement A circular plate of diameter 3 m is immersed in water in such a

A circular plate of diameter 3 m is immersed in water in such a way that its least and greatest depth from the free surface of water are 1 m and 3 m respectively. For the front side of the plate, find (i) total force exerted by water and (ii) the position of centre of pressure. Read More »

A circular drum 1.8 m diameter and 1.2 m height is submerged with its axis vertical and its upper end at a depth of 1.8 m below water level. Determine total pressure on top, bottom and curved surfaces of the drum, resultant pressure on the whole surface, and depth of centre of pressure on the curved surface.

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Submerged Circular Drum Problem Problem Statement A circular drum 1.8 m diameter and 1.2 m height is submerged with its

A circular drum 1.8 m diameter and 1.2 m height is submerged with its axis vertical and its upper end at a depth of 1.8 m below water level. Determine total pressure on top, bottom and curved surfaces of the drum, resultant pressure on the whole surface, and depth of centre of pressure on the curved surface. Read More »

A penstock made up by a pipe of 2 m diameter contains a circular disc of the same diameter to act as a valve which controls the discharge passing through it. It can rotate about a horizontal diameter. If the head of water above its centre is 20 m, find the total force acting on the disc and the torque required to maintain it in the vertical position.

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Penstock Valve Torque Problem Problem Statement A penstock made up by a pipe of 2 m diameter contains a circular

A penstock made up by a pipe of 2 m diameter contains a circular disc of the same diameter to act as a valve which controls the discharge passing through it. It can rotate about a horizontal diameter. If the head of water above its centre is 20 m, find the total force acting on the disc and the torque required to maintain it in the vertical position. Read More »

A circular opening, 3 m diameter, in the vertical side of a water tank is closed by a disc of 3 m diameter which can rotate about a horizontal diameter. Calculate the force on the disc and the torque required to maintain the disc in equilibrium in the vertical position when the head of water above the horizontal diameter is 4 m.

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Rotating Circular Disc Problem Problem Statement A circular opening, 3 m diameter, in the vertical side of a water tank

A circular opening, 3 m diameter, in the vertical side of a water tank is closed by a disc of 3 m diameter which can rotate about a horizontal diameter. Calculate the force on the disc and the torque required to maintain the disc in equilibrium in the vertical position when the head of water above the horizontal diameter is 4 m. Read More »

Determine the total force and location of centre of pressure on one face of the plate shown in the Figure below, immersed in a liquid of specific gravity 0.9.

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Hollow Circular Plate Problem Problem Statement Determine the total force and location of centre of pressure on one face of

Determine the total force and location of centre of pressure on one face of the plate shown in the Figure below, immersed in a liquid of specific gravity 0.9. Read More »

A rectangular opening 2 m wide and 1 m deep in the vertical side of a tank is closed by a sluice gate of the same size. The gate can turn about the horizontal centroidal axis. Determine the total pressure on the sluice gate .

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Sluice Gate Torque Problem Problem Statement A rectangular opening 2 m wide and 1 m deep in the vertical side

A rectangular opening 2 m wide and 1 m deep in the vertical side of a tank is closed by a sluice gate of the same size. The gate can turn about the horizontal centroidal axis. Determine the total pressure on the sluice gate . Read More »

A hollow circular plate of 2 m external and 1 m internal diameter is immersed vertically in water such that the centre of the plate is 4 m deep from the water surface. Find the total pressure and depth of centre of pressure.

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Hollow Circular Plate Problem Problem Statement A hollow circular plate of 2 m external and 1 m internal diameter is

A hollow circular plate of 2 m external and 1 m internal diameter is immersed vertically in water such that the centre of the plate is 4 m deep from the water surface. Find the total pressure and depth of centre of pressure. Read More »

The end gates ABC of a lock are 8 m high and when closed make an angle of 120°. The width of lock is 10 m. Each gate is supported by two hinges located at 1 m and 5 m above the bottom of the lock. The depth of water on the upstream and downstream sides of the lock are 6 m and 4 m respectively. Find Resultant water force on each gate.

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Lock Gate Resultant Force Problem Problem Statement The end gates ABC of a lock are 8 m high and when

The end gates ABC of a lock are 8 m high and when closed make an angle of 120°. The width of lock is 10 m. Each gate is supported by two hinges located at 1 m and 5 m above the bottom of the lock. The depth of water on the upstream and downstream sides of the lock are 6 m and 4 m respectively. Find Resultant water force on each gate. Read More »

Each gate of a lock is 5 m high and is supported by two hinges placed on the top and bottom of the gate. When the gates are closed, they make an angle of 120°. The width of the lock is 4 m. If the depths of water on the two sides of the gates are 4 m and 3 m respectively, determine: (i) the magnitude of resultant pressure on each gate, and (ii) magnitude of the hinge reactions.

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Lock Gate Hinge Reactions Problem Problem Statement Each gate of a lock is 5 m high and is supported by

Each gate of a lock is 5 m high and is supported by two hinges placed on the top and bottom of the gate. When the gates are closed, they make an angle of 120°. The width of the lock is 4 m. If the depths of water on the two sides of the gates are 4 m and 3 m respectively, determine: (i) the magnitude of resultant pressure on each gate, and (ii) magnitude of the hinge reactions. Read More »

Find the magnitude and direction of the resultant water pressure acting on a curved face of a dam which is shaped according to the relation Y=X2/6 . The height of water retained by the dam is 12 m. Take the width of dam as unity.

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Parabolic Dam Pressure Problem Problem Statement Find the magnitude and direction of the resultant water pressure acting on a curved

Find the magnitude and direction of the resultant water pressure acting on a curved face of a dam which is shaped according to the relation Y=X2/6 . The height of water retained by the dam is 12 m. Take the width of dam as unity. Read More »

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