Numerical (Water)

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 =x2/9 . The height of the water retained by the dam is 10 m. Consider the width of the dam as unity (1 m).

Curved Dam Fluid Pressure Problem Problem Statement Find the magnitude and direction of the resultant water pressure acting on a […]

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 =x2/9 . The height of the water retained by the dam is 10 m. Consider the width of the dam as unity (1 m). Read More »

The figure shows the cross-section of a tank full of water under pressure. The length of the tank is 2 m. An empty cylinder lies along the length of the tank on one of its corners. Find the horizontal and vertical components of the force acting on the curved surface ABC of the cylinder.

Cylinder in Pressurized Tank Problem Problem Statement The figure shows the cross-section of a tank full of water under pressure.

The figure shows the cross-section of a tank full of water under pressure. The length of the tank is 2 m. An empty cylinder lies along the length of the tank on one of its corners. Find the horizontal and vertical components of the force acting on the curved surface ABC of the cylinder. Read More »

A cylindrical gate of 4 m diameter and 2 m long has water on both its sides as shown in the figure. Determine the magnitude, location, and direction of the resultant force exerted by the water on the gate. Find also the least weight of the cylinder so that it may not be lifted away from the floor.

Cylindrical Gate Fluid Pressure Problem Problem Statement A cylindrical gate of 4 m diameter and 2 m long has water

A cylindrical gate of 4 m diameter and 2 m long has water on both its sides as shown in the figure. Determine the magnitude, location, and direction of the resultant force exerted by the water on the gate. Find also the least weight of the cylinder so that it may not be lifted away from the floor. Read More »

Calculate the horizontal and vertical components of the water pressure exerted on a tainter gate of radius 8 m as shown in the figure. Take width of gate unity (1 m).

Tainter Gate Fluid Pressure Problem (R=8m) Problem Statement Calculate the horizontal and vertical components of the water pressure exerted on

Calculate the horizontal and vertical components of the water pressure exerted on a tainter gate of radius 8 m as shown in the figure. Take width of gate unity (1 m). Read More »

Find the horizontal and vertical component of water pressure acting on the face of a tainter gate of 90° sector of radius 4 m as shown in the figure. Take width of gate as unity (1 m).

Tainter Gate Fluid Pressure Problem Problem Statement Find the horizontal and vertical component of water pressure acting on the face

Find the horizontal and vertical component of water pressure acting on the face of a tainter gate of 90° sector of radius 4 m as shown in the figure. Take width of gate as unity (1 m). Read More »

Find the magnitude and direction of the resultant force due to water acting on a roller gate of cylindrical form of 4.0 m diameter, when the gate is placed on the dam in such a way that water is just going to spill. Take the length of the gate as 8 m.

Cylindrical Roller Gate Fluid Pressure Problem Problem Statement Find the magnitude and direction of the resultant force due to water

Find the magnitude and direction of the resultant force due to water acting on a roller gate of cylindrical form of 4.0 m diameter, when the gate is placed on the dam in such a way that water is just going to spill. Take the length of the gate as 8 m. Read More »

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 »

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