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

Considere uma piscina com um fluido de peso específico conhecido com uma superfície curva na parte inferior.
Se o volume ao redor da superfície curva for isolado com um plano horizontal e vertical ao longo de uma unidade de comprimento, a superfície do plano horizontal e a superfície do plano vertical sofrerão forças perpendiculares aos seus planos devido ao fluido.
O peso próprio do fluido no volume fechado é o produto do peso específico do fluido e do volume do espaço fechado, atuando através do centro de gravidade do volume.
Os componentes de força exercidos pela superfície curva sobre o fluido, nas direções horizontal e vertical, podem ser expressos através das forças desenvolvidas nos planos horizontal e vertical, juntamente com o peso próprio do fluido no volume isolado.
Finalmente, a força hidrostática que atua na superfície curva é dada pela raiz quadrada da soma dos quadrados dos componentes de força exercidos pela superfície curva da piscina sobre o fluido.

força de pressão hidrostática em uma superfície curva

A pressão hidrostática em superfícies curvas é um conceito fundamental na mecânica dos fluidos com amplas aplicações no campo da engenharia civil. Quando o fluido está em contato com uma superfície curva, como em um reservatório, represa ou tanque de armazenamento, ele exerce pressão que varia em magnitude e direção ao longo da superfície curva. Para avaliar a força hidrostática total exercida pelo fluido em uma estrutura curva, os engenheiros isolam normalmente o volume do fluido adjacente à superfície e analisam as forças que atuam em planos horizontais e verticais imaginários que cruzam esse volume.

As forças horizontais e verticais resultam da pressão do fluido atuando perpendicularmente a cada plano, e suas magnitudes dependem do peso específico e da profundidade do fluido. Além disso, o peso próprio do fluido no volume isolado atua através de seu centro de gravidade, contribuindo para a força geral na superfície curva. Ao somar os quadrados dos componentes horizontais e verticais e encontrar a raiz quadrada, os engenheiros podem calcular a força hidrostática total na superfície curva.

Entender essas forças é essencial para projetar estruturas hidráulicas seguras e eficientes, como represas, oleodutos e vasos de contenção. Avaliar adequadamente a pressão hidrostática em superfícies curvas ajuda os engenheiros a garantir a estabilidade estrutural sob cargas de fluidos variáveis, contribuindo para a durabilidade e segurança de longo prazo da infraestrutura essencial.

Força de pressão hidrostática em uma superfície curva

Considere uma piscina com um fluido de peso específico conhecido com uma superfície curva na parte inferior.
Se o volume ao redor da superfície curva for ...

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

Education

JoVE Core

Civil Engineering

Engenharia Civil

Unit 1

Unidade 1

Fluid Statics

Estática dos Fluidos

KEY TERMS AND CONCEPTS

TERMOS E CONCEITOS-CHAVE

Hydrostatic Pressure Force on a Curved Surface

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

Fluid pressure at one point is the focus of this lesson. It shows that pressure in a fluid is the same in every direction at a single location. This happens because fluid molecules move randomly and collide with nearby molecules in a balanced way. At a given point, the pressure depends on the surrounding fluid molecules. It is affected by depth and density, not by the shape of the container or the way the fluid is oriented. In a fluid at rest, the pressure acts equally in all directions...

basic equation for pressure field

Pressure Balance in a Fluid Element

The pressure field equation describes how forces stay balanced inside a small fluid element. In fluid mechanics, this balance helps explain how pressure changes from one place to another within a fluid. Two main force types act on a fluid segment: surface forces and body forces. Surface forces come from pressure differences across nearby points in the fluid, so they depend on the local pressure gradient, which is the rate of pressure change with position. Body forces are spread through the...

pressure variation in a fluid at rest

Hydrostatic Pressure and Fluid Depth

Hydrostatic pressure describes how pressure changes with depth in a fluid at rest. In a stationary fluid, the fluid acceleration is zero, so the forces inside the fluid balance. That means pressure at a point below the surface depends on depth, not on the container’s shape or size. Only vertical forces affect the pressure change in this situation. These forces come from the weight of the fluid above a point. When pressure is compared at two different levels, the difference in pressure equals...

measurement of fluid pressure

Manometers and Gauges for Fluid Pressure

Fluid pressure is measured with manometers and related gauges. These tools use a liquid column to show pressure differences. The height of the column gives a simple reading of the force the fluid exerts. A basic manometer is the piezometer. It is a vertical tube that is open at the top and filled with the same fluid being measured. When the tube connects to a container, the fluid height in the tube matches the pressure inside that container. For more detailed measurements, the U-tube...

hydrostatic pressure force on a plane surface

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

Hydrostatic Pressure on Submerged Surfaces

Hydrostatic pressure creates force on submerged plane surfaces. The force depends on the fluid pressure and the area of the surface. The way that force acts changes with the surface position. For a horizontal surface, the depth stays the same across the whole area. That means the pressure is uniform. The resultant force equals the pressure at that depth multiplied by the surface area, and it acts through the centroid of the surface. For a vertical surface, pressure increases as depth...

hydrostatic pressure force on a curved surface

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

design-example-application-of-archimedes-principle

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 provides a foundational exploration of essential construction materials in civil engineering, focusing on bricks, stones, steel, wood, and concrete through easy-to-understand animated videos. This collection covers the properties, manufacturing processes, and practical applications of these materials. Additionally, the accompanied science-in-action videos demonstrate the research experiments performed in laboratories.

Finding the Force on Curved Fluid Surfaces

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