Numerical (Water)

A rectangular sluice gate is situated on the vertical wall of a lock. The vertical side of the sluice is 6 m in length and depth of centroid of the area is 8 m below the water surface. Prove that the depth of the centre of pressure is given by 8.375 m.

Rectangular Sluice Gate Problem Problem Statement A rectangular sluice gate is situated on the vertical wall of a lock. The […]

A rectangular sluice gate is situated on the vertical wall of a lock. The vertical side of the sluice is 6 m in length and depth of centroid of the area is 8 m below the water surface. Prove that the depth of the centre of pressure is given by 8.375 m. Read More »

Determine the total pressure on a circular plate of diameter 1.5 m which is placed vertically in water in such a way that the centre of the plate is 2 m below the free surface of water. Find the position of the centre of pressure also.

Circular Plate Pressure Problem Problem Statement Determine the total pressure on a circular plate of diameter 1.5 m which is

Determine the total pressure on a circular plate of diameter 1.5 m which is placed vertically in water in such a way that the centre of the plate is 2 m below the free surface of water. Find the position of the centre of pressure also. Read More »

Determine the total pressure and depth of centre of pressure on a plane rectangular surface of 1 m wide and 3 m deep when its upper edge is horizontal and (a) coincides with water surface (b) 2 m below the free water surface.

Rectangular Plate Pressure Problem Problem Statement Determine the total pressure and depth of centre of pressure on a plane rectangular

Determine the total pressure and depth of centre of pressure on a plane rectangular surface of 1 m wide and 3 m deep when its upper edge is horizontal and (a) coincides with water surface (b) 2 m below the free water surface. Read More »

A tank contains water up to a depth of 1.5 m. The length and width of the tank are 4 m and 2 m respectively. The tank is moving up an inclined plane with a constant acceleration of 4 m/s². The inclination of the plane with the horizontal is 30°. Find: (i) the angle made by the free surface of water with the horizontal, and (ii) the pressure at the bottom of the tank at the front and rear ends.

Tank Accelerating Up an Inclined Plane Problem Statement A tank contains water up to a depth of 1.5 m. The

A tank contains water up to a depth of 1.5 m. The length and width of the tank are 4 m and 2 m respectively. The tank is moving up an inclined plane with a constant acceleration of 4 m/s². The inclination of the plane with the horizontal is 30°. Find: (i) the angle made by the free surface of water with the horizontal, and (ii) the pressure at the bottom of the tank at the front and rear ends. Read More »

A tank containing water up to a depth of 500 mm is moving vertically upward with a constant acceleration of 2.45 m/s². The width of the tank is 2 m. Find the force exerted by the water on the side of the tank. Also calculate the force on the side of the tank when (i) the tank is moving vertically downward with a constant acceleration of 2.45 m/s², and (ii) the tank is not moving at all.

Vertically Accelerating Tank Problem Problem Statement A tank containing water up to a depth of 500 mm is moving vertically

A tank containing water up to a depth of 500 mm is moving vertically upward with a constant acceleration of 2.45 m/s². The width of the tank is 2 m. Find the force exerted by the water on the side of the tank. Also calculate the force on the side of the tank when (i) the tank is moving vertically downward with a constant acceleration of 2.45 m/s², and (ii) the tank is not moving at all. Read More »

A rectangular tank of length 6 m, width 2.5 m and height 2 m is completely filled with water when at rest. The tank is open at the top. The tank is subjected to a horizontal constant linear acceleration of 2.4 m/s² in the direction of its length. Find the volume of water spilled from the tank.

Spilling Water from an Accelerating Tank Problem Statement A rectangular tank of length 6 m, width 2.5 m and height

A rectangular tank of length 6 m, width 2.5 m and height 2 m is completely filled with water when at rest. The tank is open at the top. The tank is subjected to a horizontal constant linear acceleration of 2.4 m/s² in the direction of its length. Find the volume of water spilled from the tank. Read More »

A rectangular tank contains water to a depth of 1.5 m. Find the horizontal acceleration in the direction of its length so that the spilling of water is just on the verge of taking place. Also calculate the total forces on each end of the tank in each case and verify the results.

Accelerating Tank – Spilling and Exposure Cases Problem Statement A rectangular tank (L=6m, W=2.5m, D=2m) contains water to a depth

A rectangular tank contains water to a depth of 1.5 m. Find the horizontal acceleration in the direction of its length so that the spilling of water is just on the verge of taking place. Also calculate the total forces on each end of the tank in each case and verify the results. Read More »

A rectangular tank is moving horizontally in the direction of its length with a constant acceleration of 2.4 m/s². The length, width and depth of the tank are 6 m, 2.5 m and 2 m respectively. If the depth of water in the tank is 1 m and the tank is open at the top, calculate the angle of the water surface to the horizontal.

Accelerating Rectangular Tank Problem Problem Statement A rectangular tank is moving horizontally in the direction of its length with a

A rectangular tank is moving horizontally in the direction of its length with a constant acceleration of 2.4 m/s². The length, width and depth of the tank are 6 m, 2.5 m and 2 m respectively. If the depth of water in the tank is 1 m and the tank is open at the top, calculate the angle of the water surface to the horizontal. Read More »

The end gates ABC of a lock are 9 m high and when closed include an angle of 120°. The width of the lock is 10 m. Each gate is supported by two hinges located at 1 m and 6 m above the bottom of the lock. The depths of water on the two sides are 8 m and 4 m respectively. Find: (i) Resultant water force on each gate, (ii) Reaction between the gates AB and BC, and (iii) Force on each hinge.

Lock Gate Hinge Force Problem Problem Statement The end gates ABC of a lock are 9 m high and when

The end gates ABC of a lock are 9 m high and when closed include an angle of 120°. The width of the lock is 10 m. Each gate is supported by two hinges located at 1 m and 6 m above the bottom of the lock. The depths of water on the two sides are 8 m and 4 m respectively. Find: (i) Resultant water force on each gate, (ii) Reaction between the gates AB and BC, and (iii) Force on each hinge. Read More »

Each gate of a lock is 6 m high and is supported by two hinges placed on the top and bottom of the gate. When the gates are closed, they make an angle of 120°. The width of the lock is 5 m. If the water levels are 4 m and 2 m on the upstream and downstream sides respectively, determine the magnitude of the forces on the hinges due to water pressure

Lock Gate Hinge Force Problem Problem Statement Each gate of a lock is 6 m high and is supported by

Each gate of a lock is 6 m high and is supported by two hinges placed on the top and bottom of the gate. When the gates are closed, they make an angle of 120°. The width of the lock is 5 m. If the water levels are 4 m and 2 m on the upstream and downstream sides respectively, determine the magnitude of the forces on the hinges due to water pressure Read More »

A cylinder 3 m in diameter and 4 m long retains water on one side and is supported as shown. Determine the horizontal reaction at A and the vertical reaction at B. The cylinder weighs 196.2 kN. Ignore friction.

Cylinder Reaction Force Problem Problem Statement A cylinder 3 m in diameter and 4 m long retains water on one

A cylinder 3 m in diameter and 4 m long retains water on one side and is supported as shown. Determine the horizontal reaction at A and the vertical reaction at B. The cylinder weighs 196.2 kN. Ignore friction. Read More »

A dam has a parabolic shape Y=Yo(X/Xo​)2 with Xo=6 m and Yo=9 m. The fluid is water with a density ρ=1000 kg/m³. Compute the horizontal, vertical, and the resultant thrust exerted by the water per meter length of the dam.

Parabolic Dam Fluid Pressure Problem Problem Statement A dam has a parabolic shape ( y = y_0 left( frac{x}{x_0} right)^2

A dam has a parabolic shape Y=Yo(X/Xo​)2 with Xo=6 m and Yo=9 m. The fluid is water with a density ρ=1000 kg/m³. Compute the horizontal, vertical, and the resultant thrust exerted by the water per meter length of the dam. Read More »

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