Name: finding the force on curved fluid surfaces
Uploaded: 2025-02-13T15:43:11.000Z
Duration: 1 min 4 s
Channel: JoVE

Consider a swimming pool with a fluid of a known specific weight having a curved surface at the bottom.
If the volume around the curved surface is isolated with a horizontal and vertical plane along a unit length, the horizontal plane surface and the vertical plane surface will experience forces perpendicular to their planes due to the fluid.
The self-weight of the fluid in the enclosed volume is the product of the fluid&#39;s specific weight and the volume of the enclosed space, acting through the center of gravity of the volume.
The force components exerted by the curved surface on the fluid, in both horizontal and vertical directions, can be expressed through the forces developed on the horizontal and vertical planes, along with the self-weight of the fluid in the isolated volume.
Finally, the hydrostatic force acting on the curved surface is given by the square root of the sum of the squares of the force components exerted by the curved surface of the swimming pool on the fluid.

hydrostatic pressure force on a curved surface

Hydrostatic pressure on curved surfaces is a fundamental concept in fluid mechanics with broad applications in the civil engineering field. When fluid is in contact with a curved surface, as in a reservoir, dam, or storage tank, it exerts pressure that varies in magnitude and direction along the curved surface. To assess the total hydrostatic force exerted by the fluid on a curved structure, engineers typically isolate the fluid volume adjacent to the surface and analyze the forces acting on imaginary horizontal and vertical planes intersecting this volume.
The horizontal and vertical forces result from the fluid pressure acting perpendicular to each plane, and their magnitudes depend on the fluid&#39;s specific weight and depth. Additionally, the self-weight of the fluid within the isolated volume acts through its center of gravity, contributing to the overall force on the curved surface. By summing the squares of the horizontal and vertical components and finding the square root, engineers can calculate the total hydrostatic force on the curved surface.
Understanding these forces is essential for designing safe and efficient hydraulic structures, such as dams, pipelines, and containment vessels. Properly assessing hydrostatic pressure on curved surfaces helps engineers ensure structural stability under varying fluid loads, contributing to the long-term durability and safety of essential infrastructure.

Hydrostatic Pressure Force on a Curved Surface

Consider a swimming pool with a fluid of a known specific weight having a curved surface at the bottom.
If the volume around the curved surface is ...

hydrostatic-pressure-force-on-a-curved-surface

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JoVE Core

Civil Engineering

Unit 1

Fluid Statics

KEY TERMS AND CONCEPTS

finding the force on curved fluid surfaces

Hydrostatic pressure on curved surfaces is an important idea in fluid mechanics. It helps explain how water pushes on curved structures in civil engineering. Examples include reservoirs, dams, and storage tanks. The pressure changes in both size and direction along the curve.

To find the total hydrostatic force on a curved surface, engineers isolate the fluid volume next to that surface. They then study the forces on imaginary horizontal and vertical planes that cut through the volume. The fluid pressure acts perpendicular to each plane. The size of each force depends on the fluid’s specific weight and depth.

The weight of the fluid inside the isolated volume also matters. This self-weight acts through the volume’s center of gravity. Engineers combine the horizontal and vertical force components to get the total hydrostatic force. They do this by squaring the two components, adding them, and taking the square root.

This method is useful for designing safe hydraulic structures. It supports the analysis of dams, pipelines, and containment vessels. Accurate force calculations help these structures stay stable under fluid loads. They also improve long-term durability and safety in essential infrastructure.

Finding the Force on Curved Fluid Surfaces

finding-the-force-on-curved-fluid-surfaces

concept of pressure at a point

Fluid Pressure at One Point

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Manometers and Gauges for Fluid Pressure

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hydrostatic-pressure-force-on-a-plane-surface

Hydrostatic Pressure on Submerged Surfaces

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Hydrostatic pressure on curved surfaces is an important idea in fluid mechanics. It helps explain how water pushes on curved structures in civil engineering. Examples include reservoirs, dams, and storage tanks. The pressure changes in both size and direction along the curve. To find the total hydrostatic force on a curved surface, engineers isolate the fluid volume next to that surface. They then study the forces on imaginary horizontal and vertical planes that cut through the volume. The...

buoyancy and stability for submerged and floating bodies

buoyancy-and-stability-for-submerged-and-floating-bodies

How Buoyancy Keeps Bodies Stable in Water

Buoyancy and stability explain how submerged and floating bodies behave in a fluid. When a body is fully or partly under water and stays still, the fluid pushes upward on it. That upward push is called the buoyant force. The buoyant force acts through the center of buoyancy. This is the center of the displaced fluid volume. Archimedes’ principle says the buoyant force equals the weight of the fluid displaced by the body. Stability describes whether a body can return to its original position...

design example: application of archimedes' principle

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Floating Block Buoyancy and Center of Buoyancy

Archimedes' principle is used to analyze the buoyant force on a wooden block that floats in seawater. The block has a rectangular section, and its dimensions, specific gravity, and the specific weight of seawater are used in the calculation. This setup shows how floating bodies stay in equilibrium. The first step is to find the weight of the block from its volume and specific gravity. Then Archimedes' principle is applied. The weight of the displaced water must equal the weight of the block.

key terms and concepts

See how hydrostatic pressure on curved surfaces is analyzed using horizontal and vertical force components, fluid weight, and depth in civil engineering examples.

Finding the Force on Curved Fluid Surfaces | JoVE K12

JoVE Core Civil Engineering offers a foundational exploration of essential construction materials such as bricks, stones, steel, wood, and concrete, along with fluid mechanics topics like flow over immersed bodies, open channel flow, and dimensional modeling. It also covers key surveying concepts, including leveling, traverse adjustments, curve design, topographic mapping, and geospatial technologies (GPS & GIS). Science-in-action videos showcase laboratory research on materials, fluids, and surveying practices in real-world engineering systems.

Finding the Force on Curved Fluid Surfaces

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