Numerical (Water)

A rectangular gate 5 m x 2 m is hinged at its base and inclined at 60° to the horizontal. To keep the gate in a stable position, a counterweight of 5000 kgf is attached at the upper end of the gate. Find the depth of water at which the gate begins to fall. Neglect the weight of the gate and friction.

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Force on a Hinged Sluice Gate Problem Statement An inclined rectangular sluice gate AB, 1.2 m by 5 m size, […]

A rectangular gate 5 m x 2 m is hinged at its base and inclined at 60° to the horizontal. To keep the gate in a stable position, a counterweight of 5000 kgf is attached at the upper end of the gate. Find the depth of water at which the gate begins to fall. Neglect the weight of the gate and friction. Read More »

A circular plate 3 metre diameter is submerged in water as shown. Its greatest and least depths are below the surfaces being 2 metre and 1 metre respectively. Find: (i) the total pressure on front face of the plate, and (ii) the position of centre of pressure.

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Pressure on an Inclined Circular Plate Problem Statement A circular plate 3 metre diameter is submerged in water as shown.

A circular plate 3 metre diameter is submerged in water as shown. Its greatest and least depths are below the surfaces being 2 metre and 1 metre respectively. Find: (i) the total pressure on front face of the plate, and (ii) the position of centre of pressure. Read More »

A circular plate 3.0 m diameter is immersed in water in such a way that its greatest and least depth below the free surface are 4 m and 1.5 m respectively. Determine the total pressure on one face of the plate and position of the centre of pressure.

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Pressure on an Inclined Circular Plate Problem Statement A circular plate 3.0 m diameter is immersed in water in such

A circular plate 3.0 m diameter is immersed in water in such a way that its greatest and least depth below the free surface are 4 m and 1.5 m respectively. Determine the total pressure on one face of the plate and position of the centre of pressure. Read More »

A square aperture in the vertical side of a tank has one diagonal vertical and is completely covered by a plane plate hinged along one of the upper sides of the aperture. The diagonals of the aperture are 2 m long and the tank contains a liquid of specific gravity 1.15. The centre of the aperture is 1.5 m below the free surface. Calculate the thrust exerted on the plate by the liquid and the position of its centre of pressure.

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Pressure on a Square Aperture Plate Problem Statement A square aperture in the vertical side of a tank has one

A square aperture in the vertical side of a tank has one diagonal vertical and is completely covered by a plane plate hinged along one of the upper sides of the aperture. The diagonals of the aperture are 2 m long and the tank contains a liquid of specific gravity 1.15. The centre of the aperture is 1.5 m below the free surface. Calculate the thrust exerted on the plate by the liquid and the position of its centre of pressure. Read More »

A rectangular plane surface 3 m wide and 4 m deep lies in water in such a way that its plane makes an angle of 30° with the free surface of water. Determine the total pressure force and position of centre of pressure, when the upper edge is 2 m below the free surface.

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Pressure on an Inclined Rectangular Plane Problem Statement A rectangular plane surface 3 m wide and 4 m deep lies

A rectangular plane surface 3 m wide and 4 m deep lies in water in such a way that its plane makes an angle of 30° with the free surface of water. Determine the total pressure force and position of centre of pressure, when the upper edge is 2 m below the free surface. Read More »

A cubical tank has sides of 1.5 m. It contains water for the lower 0.6 m depth. The upper remaining part is filled with oil of specific gravity 0.9. Calculate for one vertical side of the tank total pressure.

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Pressure on a Cubical Tank Wall Problem Statement A cubical tank has sides of 1.5 m. It contains water for

A cubical tank has sides of 1.5 m. It contains water for the lower 0.6 m depth. The upper remaining part is filled with oil of specific gravity 0.9. Calculate for one vertical side of the tank total pressure. Read More »

A rectangular plane surface 2 m wide and 3 m deep lies in water in such a way that its plane makes an angle of 30° with the free surface of water. Determine the total pressure and position of centre of pressure when the upper edge is 1.5 m below the free water surface.

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Pressure on an Inclined Rectangular Surface Problem Statement A rectangular plane surface 2 m wide and 3 m deep lies

A rectangular plane surface 2 m wide and 3 m deep lies in water in such a way that its plane makes an angle of 30° with the free surface of water. Determine the total pressure and position of centre of pressure when the upper edge is 1.5 m below the free water surface. Read More »

A caisson for closing the entrance to a dry dock is of trapezoidal form, 16 m wide at the top and 10 m wide at the bottom, and 6 m deep. Find the total pressure and centre of pressure on the caisson if the water on the outside is just level with the top and the dock is empty.

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Pressure on a Trapezoidal Caisson Problem Statement A caisson for closing the entrance to a dry dock is of trapezoidal

A caisson for closing the entrance to a dry dock is of trapezoidal form, 16 m wide at the top and 10 m wide at the bottom, and 6 m deep. Find the total pressure and centre of pressure on the caisson if the water on the outside is just level with the top and the dock is empty. Read More »

A pipeline which is 4 m in diameter contains a gate valve. The pressure at the centre of the pipe is 19.6 N/cm². If the pipe is filled with oil of specific gravity 0.87, find the force exerted by the oil upon the gate and the position of the centre of pressure.

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Force on a Pipeline Gate Valve Problem Statement A pipeline which is 4 m in diameter contains a gate valve.

A pipeline which is 4 m in diameter contains a gate valve. The pressure at the centre of the pipe is 19.6 N/cm². If the pipe is filled with oil of specific gravity 0.87, find the force exerted by the oil upon the gate and the position of the centre of pressure. Read More »

A rectangular plane surface 3 m wide and 4 m deep lies in water in such a way that its plane makes an angle of 30° with the free surface of water. Determine the total pressure force and position of center of pressure, when the upper edge is 2 m below the free surface.

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Pressure on an Inclined Rectangular Surface (3x4m) Problem Statement A rectangular plane surface 3 m wide and 4 m deep

A rectangular plane surface 3 m wide and 4 m deep lies in water in such a way that its plane makes an angle of 30° with the free surface of water. Determine the total pressure force and position of center of pressure, when the upper edge is 2 m below the free surface. Read More »

Determine the total pressure and centre of pressure on an isosceles triangular plate of base 4 m and altitude 4 m when it is immersed vertically in an oil of specific gravity 0.9. The base of the plate coincides with the free surface of the oil.

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Pressure on an Isosceles Triangular Plate Problem Statement Determine the total pressure and centre of pressure on an isosceles triangular

Determine the total pressure and centre of pressure on an isosceles triangular plate of base 4 m and altitude 4 m when it is immersed vertically in an oil of specific gravity 0.9. The base of the plate coincides with the free surface of the oil. Read More »

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