Hydrostatic Forces on Surfaces

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 »

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 »

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