Hydrostatic Forces on Surfaces

A gate having a quadrant shape of radius 2 m is shown in the figure. Find the resultant force due to water per metre length of the gate. Also, find the angle at which this resultant force will act.

Quadrant Gate Fluid Pressure Problem Problem Statement A gate having a quadrant shape of radius 2 m is shown in […]

A gate having a quadrant shape of radius 2 m is shown in the figure. Find the resultant force due to water per metre length of the gate. Also, find the angle at which this resultant force will act. Read More »

Compute the horizontal and vertical components of the total force acting on a curved surface AB, which is in the form of a quadrant of a circle of radius 2 m. Take the width of the gate as unity.

Pressure on a Curved Surface Problem Statement Compute the horizontal and vertical components of the total force acting on a

Compute the horizontal and vertical components of the total force acting on a curved surface AB, which is in the form of a quadrant of a circle of radius 2 m. Take the width of the gate as unity. Read More »

Find the total pressure and position of the centre of pressure on a triangular plate of base 2 m and height 3 m which is immersed in water in such a way that the plane of the plate makes an angle of 60° with the free surface of the water. The base of the plate is parallel to the water surface and at a depth of 2.5 m from the water surface.

Pressure on a Triangular Plate Problem Statement Find the total pressure and position of the centre of pressure on a

Find the total pressure and position of the centre of pressure on a triangular plate of base 2 m and height 3 m which is immersed in water in such a way that the plane of the plate makes an angle of 60° with the free surface of the water. The base of the plate is parallel to the water surface and at a depth of 2.5 m from the water surface. Read More »

A rectangular sluice gate AB, 2 m wide and 3 m long, is hinged at A. It is kept closed by a weight fixed to the gate. The total weight of the gate and the fixed weight is 343,350 N, with a combined centre of gravity at G. Find the height of the water ‘h’ which will just cause the gate to open.

Hinged Sluice Gate Opening Problem Problem Statement A rectangular sluice gate AB, 2 m wide and 3 m long, is

A rectangular sluice gate AB, 2 m wide and 3 m long, is hinged at A. It is kept closed by a weight fixed to the gate. The total weight of the gate and the fixed weight is 343,350 N, with a combined centre of gravity at G. Find the height of the water ‘h’ which will just cause the gate to open. Read More »

A gate supporting water is shown in the figure. Find the height ‘h’ of the water so that the gate tips about the hinge. Take the width of the gate as unity (1 m).

Tipping Gate Fluid Pressure Problem Problem Statement A gate supporting water is shown in the figure. Find the height ‘h’

A gate supporting water is shown in the figure. Find the height ‘h’ of the water so that the gate tips about the hinge. Take the width of the gate as unity (1 m). Read More »

An inclined rectangular sluice gate AB, 1.2 m by 5 m size, is installed to control the discharge of water. The end A is hinged. Determine the force normal to the gate applied at B to open it.

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

An inclined rectangular sluice gate AB, 1.2 m by 5 m size, is installed to control the discharge of water. The end A is hinged. Determine the force normal to the gate applied at B to open it. Read More »

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.

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.

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.

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.

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.

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.

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 »

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