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

바닥에 곡면이 있는 알려진 특정 중량의 유체가 있는 수영장을 생각해 보십시오.
곡면 주위의 부피가 단위 길이를 따라 수평 및 수직 평면으로 격리된 경우, 수평 평면 표면과 수직 평면 표면은 유체로 인해 평면에 수직인 힘을 받게 됩니다.
밀폐된 부피에서 유체의 자체 중량은 유체의 비중량과 밀폐된 공간의 부피의 곱으로 부피의 무게 중심을 통해 작용합니다.
수평 및 수직 방향 모두에서 유체에 곡면에 의해 가해지는 힘 성분은 고립된 부피에서 유체의 자중과 함께 수평 및 수직 평면에서 발생하는 힘을 통해 표현될 수 있습니다.
마지막으로, 곡면에 작용하는 정수력은 수영장의 곡면이 유체에 가하는 힘 구성 요소의 제곱의 합의 제곱근에 의해 주어집니다.

곡면의 정수압

곡면의 정수압은 토목 공학 분야에서 광범위하게 적용되는 유체 역학의 기본 개념입니다. 유체가 저수지, 댐 또는 저장 탱크와 같이 곡면과 접촉하면 크기와 방향이 곡면을 따라 다양한 압력을 가합니다. 곡선 구조에 유체가 가하는 총 정수압을 평가하기 위해 엔지니어는 일반적으로 표면에 인접한 유체 부피를 분리하고 이 부피를 교차하는 가상의 수평 및 수직 평면에 작용하는 힘을 분석합니다.

수평 및 수직 힘은 각 평면에 수직으로 작용하는 유체 압력에서 발생하며 그 크기는 유체의 특정 중량과 깊이에 따라 달라집니다. 또한 분리된 부피 내의 유체 자중은 중력 중심을 통해 작용하여 곡면의 전체 힘에 기여합니다. 엔지니어는 수평 및 수직 성분의 제곱을 합산하고 제곱근을 구함으로써 곡면의 총 정수압을 계산할 수 있습니다.

이러한 힘을 이해하는 것은 댐, 파이프라인, 격납 용기와 같은 안전하고 효율적인 유압 구조물을 설계하는 데 필수적입니다. 곡면의 정수압을 적절히 평가하면 엔지니어가 다양한 유체 하중에서 구조적 안정성을 보장하여 필수 인프라의 장기적 내구성과 안전성에 기여하는 데 도움이 됩니다.

바닥에 곡면이 있는 알려진 특정 중량의 유체가 있는 수영장을 생각해 보십시오.
곡면 주위의 부피가 ...

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

Education

교육

JoVE Core

Civil Engineering

토목공학

Unit 1

제1단원

Fluid Statics

유체 정역학

KEY TERMS AND CONCEPTS

주요 용어 및 개념

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 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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