Hydrostatic Forces on Surfaces

Find the horizontal and vertical components of the water pressure exerted on a tainter gate of radius 4 m as shown in the figure below. Consider the width of the gate to be unity.

Tainter Gate Problem Problem Statement Find the horizontal and vertical components of the water pressure exerted on a tainter gate […]

Find the horizontal and vertical components of the water pressure exerted on a tainter gate of radius 4 m as shown in the figure below. Consider the width of the gate to be unity. Read More »

A roller gate is in cylindrical form of 6.0 m diameter. It is placed on the dam. Find the magnitude and direction of the resultant force due to water acting on the gate when the water is just going to spill. The length of the gate is given as 10 m.

Cylindrical Roller Gate Problem Problem Statement A roller gate is in cylindrical form of 6.0 m diameter. It is placed

A roller gate is in cylindrical form of 6.0 m diameter. It is placed on the dam. Find the magnitude and direction of the resultant force due to water acting on the gate when the water is just going to spill. The length of the gate is given as 10 m. Read More »

A gate having a quadrant shape of radius of 3 m is positioned as shown in the figure below. Find the resultant force due to water per metre length of the gate. Find also the angle at which the total force will act.

Quadrant Gate Resultant Force Problem Problem Statement A gate having a quadrant shape of radius of 3 m is positioned

A gate having a quadrant shape of radius of 3 m is positioned as shown in the figure below. Find the resultant force due to water per metre length of the gate. Find also the angle at which the total force will act. Read More »

A curved gate AB, in the form of a quadrant of a circle with a 2 m radius, is positioned as shown in the figure below. The center of the circle, O, is 4 m below the free water surface. Find the horizontal and vertical components of the total force on the 2 m wide gate.

Curved Quadrant Gate Problem Problem Statement A curved gate AB, in the form of a quadrant of a circle with

A curved gate AB, in the form of a quadrant of a circle with a 2 m radius, is positioned as shown in the figure below. The center of the circle, O, is 4 m below the free water surface. Find the horizontal and vertical components of the total force on the 2 m wide gate. Read More »

Find the total pressure and depth of centre of pressure on a triangular plate of base 3 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. The base of the plate is parallel to the water surface and at a depth of 2 m from the water surface.

Inclined Triangular Plate Problem Problem Statement Find the total pressure and depth of centre of pressure on a triangular plate

Find the total pressure and depth of centre of pressure on a triangular plate of base 3 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. The base of the plate is parallel to the water surface and at a depth of 2 m from the water surface. Read More »

A gate supporting water is shown in the figure below. Find the height ‘h’ of the water so that the gate begins to tip about the hinge. Take the width of the gate as unity.

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

A gate supporting water is shown in the figure below. Find the height ‘h’ of the water so that the gate begins to tip about the hinge. Take the width of the gate as unity. Read More »

An inclined rectangular gate of width 5 m and depth 1.5 m is installed to control the discharge of water as shown. The end A is hinged. Determine the force normal to the gate applied at B to open it.

Hinged Gate Opening Force Problem Problem Statement An inclined rectangular gate of width 5 m and depth 1.5 m is

An inclined rectangular gate of width 5 m and depth 1.5 m is installed to control the discharge of water as shown. The end A is hinged. Determine the force normal to the gate applied at B to open it. Read More »

A rectangular gate 6 m x 2 m is hinged at its base and inclined at 60° to the horizontal as shown. To keep the gate in a stable position, a counter weight of 29430 N 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 also friction at the hinge and pulley.

Hinged Inclined Gate Problem Problem Statement A rectangular gate 6 m x 2 m is hinged at its base and

A rectangular gate 6 m x 2 m is hinged at its base and inclined at 60° to the horizontal as shown. To keep the gate in a stable position, a counter weight of 29430 N 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 also friction at the hinge and pulley. Read More »

A circular plate 3.0 m diameter is immersed in water in such a way that the plane of the plate makes an angle of 60° with the free surface of water. Determine the total pressure and position of centre of pressure when the upper edge of the plate is 2 m below the free water surface.

Inclined Circular Plate Problem Problem Statement A circular plate 3.0 m diameter is immersed in water in such a way

A circular plate 3.0 m diameter is immersed in water in such a way that the plane of the plate makes an angle of 60° with the free surface of water. Determine the total pressure and position of centre of pressure when the upper edge of the plate is 2 m below the free water surface. Read More »

A rectangular plane surface 1 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 of the plate is 2 m below the free water surface.

Inclined Rectangular Plate Problem Problem Statement A rectangular plane surface 1 m wide and 3 m deep lies in water

A rectangular plane surface 1 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 of the plate is 2 m below the free water surface. Read More »

A rectangular tank 4 m long, 1.5 m wide contains water up to a height of 2 m. Calculate the force due to water pressure on the base of the tank. Find also the depth of the centre of pressure from the free surface.

Tank Base Pressure Problem Problem Statement A rectangular tank 4 m long, 1.5 m wide contains water up to a

A rectangular tank 4 m long, 1.5 m wide contains water up to a height of 2 m. Calculate the force due to water pressure on the base of the tank. Find also the depth of the centre of pressure from the free surface. Read More »

A tank contains water up to a height of 1 m above the base. An immiscible liquid of sp. gr. 0.8 is filled on the top of water up to 1.5 m height. Calculate: (i) total pressure on one side of the tank, (ii) the position of centre of pressure for one side of the tank, which is 3 m wide.

Immiscible Liquids Pressure Problem Problem Statement A tank contains water up to a height of 1 m above the base.

A tank contains water up to a height of 1 m above the base. An immiscible liquid of sp. gr. 0.8 is filled on the top of water up to 1.5 m height. Calculate: (i) total pressure on one side of the tank, (ii) the position of centre of pressure for one side of the tank, which is 3 m wide. Read More »

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