Numerical (Water)

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 »

A sliding gate 2 m wide and 1.5 m high lies in a vertical plane and has a co-efficient of friction of 0.2 between itself and guides. If the gate weighs one tonne, find the vertical force required to raise the gate if its upper edge is at a depth of 4 m from the free surface of water.

Sliding Gate Friction Problem Problem Statement A sliding gate 2 m wide and 1.5 m high lies in a vertical

A sliding gate 2 m wide and 1.5 m high lies in a vertical plane and has a co-efficient of friction of 0.2 between itself and guides. If the gate weighs one tonne, find the vertical force required to raise the gate if its upper edge is at a depth of 4 m from the free surface of water. Read More »

A caisson for closing the entrance to a dry dock is of trapezoidal form, 16 m wide at the top and 12 m wide at the bottom, and 8 m deep. Find the total pressure and centre of pressure on the caisson if the water on the outside is 1 m below the top level of the caisson and the dock is empty.

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

A caisson for closing the entrance to a dry dock is of trapezoidal form, 16 m wide at the top and 12 m wide at the bottom, and 8 m deep. Find the total pressure and centre of pressure on the caisson if the water on the outside is 1 m below the top level of the caisson and the dock is empty. Read More »

The opening in a dam is 3 m wide and 2 m high. A vertical sluice gate is used to cover the opening. On the upstream of the gate, the liquid of sp. gr. 1.5, lies up to a height of 2.0 m above the top of the gate, whereas on the downstream side, the water is available up to the height of the top of the gate. Find the resultant force acting on the gate and the position of the centre of pressure.

Sluice Gate with Two Liquids Problem Problem Statement The opening in a dam is 3 m wide and 2 m

The opening in a dam is 3 m wide and 2 m high. A vertical sluice gate is used to cover the opening. On the upstream of the gate, the liquid of sp. gr. 1.5, lies up to a height of 2.0 m above the top of the gate, whereas on the downstream side, the water is available up to the height of the top of the gate. Find the resultant force acting on the gate and the position of the centre of pressure. Read More »

Determine the total pressure and centre of pressure on an isosceles triangular plate of base 5 m and altitude 5 m when the plate is immersed vertically in an oil of sp. gr. 0.8. The base of the plate is 1 m below the free surface of the oil.

Isosceles Triangle Pressure Problem Problem Statement Determine the total pressure and centre of pressure on an isosceles triangular plate of

Determine the total pressure and centre of pressure on an isosceles triangular plate of base 5 m and altitude 5 m when the plate is immersed vertically in an oil of sp. gr. 0.8. The base of the plate is 1 m below the free surface of the oil. Read More »

The pressure at the centre of a pipe of diameter 3 m is 29.43 N/cm². The pipe contains oil of sp. gr. 0.87 and is fitted with a gate valve. Find the force exerted by the oil on the gate and the position of the centre of pressure.

Pressurized Pipe Gate Problem Problem Statement The pressure at the centre of a pipe of diameter 3 m is 29.43

The pressure at the centre of a pipe of diameter 3 m is 29.43 N/cm². The pipe contains oil of sp. gr. 0.87 and is fitted with a gate valve. Find the force exerted by the oil on the gate and the position of the centre of pressure. Read More »

A circular opening, 3 m diameter, in a vertical side of a tank is closed by a disc of 3 m diameter which can rotate about a horizontal diameter. Calculate: (i) the force on the disc, and (ii) the torque required to maintain the disc in equilibrium in the vertical position when the head of water above the horizontal diameter is 6 m

Circular Disc Force and Torque Problem Problem Statement A circular opening, 3 m diameter, in a vertical side of a

A circular opening, 3 m diameter, in a vertical side of a tank is closed by a disc of 3 m diameter which can rotate about a horizontal diameter. Calculate: (i) the force on the disc, and (ii) the torque required to maintain the disc in equilibrium in the vertical position when the head of water above the horizontal diameter is 6 m Read More »

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