Name: finding force on a curved plate in water
Uploaded: 2023-09-22T11:49:33.000Z
Duration: 1 min 12 s
Channel: JoVE

Cuando una placa curva está sumergida, la presión que actúa normal a la placa cambia continuamente tanto en magnitud como en dirección.
Un método para determinar la fuerza resultante y su ubicación implica calcular los componentes horizontales y verticales de la fuerza.
Para ello, represente la carga distribuida que actúa sobre la placa utilizando la carga equivalente en dos dimensiones.
La magnitud de la fuerza debida al peso del agua contenida dentro del bloque actúa a través del centroide del bloque.
También hay distribuciones de presión causadas por el agua a lo largo de los lados verticales y horizontales del bloque.
A lo largo del lado vertical, la fuerza tiene una magnitud igual al área del trapecio, y esta fuerza actúa a través del centroide del trapecio.
La fuerza distribuida a lo largo del lado horizontal es constante y su magnitud es igual al área del rectángulo. Esta fuerza actúa a través del centroide del rectángulo.
La suma de estas tres fuerzas da como resultado la fuerza resultante. La ubicación del centro de presión se determina aplicando el principio de los momentos.

<ol>
	<li>Hibbeler, R.C. (2016). Ingeniería Mecánica: Estática. Decimocuarta edición, Nueva Jersey: Pearson. Sección 9.5, pág. 513.</li>
</ol>

presión de fluido sobre una placa curvada de ancho constante

Fluid Pressure over Curved Plate of Constant Width

Cuando una placa curvada de ancho constante está sumergida en un líquido, la presión que actúa perpendicularmente a la placa varía continuamente tanto en magnitud como en dirección. Calcular la magnitud y la ubicación de la fuerza resultante en un punto a menudo es un desafío para estos casos. Uno de los métodos para determinar la fuerza resultante y su ubicación implica calcular por separado las componentes horizontal y vertical de la fuerza resultante. Este cálculo complejo se puede simplificar representando la carga distribuida que actúa sobre la placa como una carga equivalente en dos dimensiones. El primer paso en este método es tener en cuenta el peso del líquido contenido dentro del bloque. La magnitud de la fuerza debido al peso del agua se calcula multiplicando el peso específico, el espesor de la placa y el área del bloque. Esta fuerza actúa a través del centroide del bloque. Además, hay distribuciones de presión causadas por el agua a lo largo de los lados vertical y horizontal del bloque. La distribución de presión a lo largo del lado vertical es trapezoidal, mientras que la distribución a lo largo del lado horizontal es rectangular. La fuerza que actúa a lo largo del lado vertical del bloque tiene una magnitud igual al área del trapecio y actúa a través de su centroide. Mientras tanto, la fuerza que actúa a lo largo del lado horizontal del bloque es constante, con una magnitud igual al área del rectángulo, que puede actuar a través del centroide o del punto medio del lado horizontal del rectángulo. Una vez que se suman los cálculos de las tres fuerzas en el bloque, se obtiene la fuerza resultante neta que actúa sobre la placa curvada. Además, la ubicación del centro de presión del líquido que actúa sobre la placa curvada se determina aplicando el principio de momentos. Si bien este método puede parecer complejo, es necesario asegurarse de que se calcule con precisión la fuerza que actúa sobre la placa para diversas aplicaciones de ingeniería.

Presión de fluido sobre una placa curvada de ancho constante

Cuando una placa curva de ancho constante se sumerge en un líquido, la presión que actúa normal a la placa varía continuamente tanto en magnitud como en ...

fluid-pressure-over-curved-plate-of-constant-width

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Mechanical Engineering

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Unit 1

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Center of Gravity and Centroid

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finding force on a curved plate in water

Fluid pressure on a curved plate of constant width changes in both size and direction. That makes the total force hard to find directly. A common method is to split the force into horizontal and vertical parts and then combine them.

The calculation becomes simpler by replacing the distributed load with an equivalent two-dimensional loading. The first step is to include the weight of the liquid inside the block. That force equals the specific weight of the liquid times the plate thickness and the block area. It acts through the centroid of the block.

Next, the water pressure on the block sides is found. The pressure on the vertical side forms a trapezoidal distribution. Its force equals the area of the trapezoid and acts through the trapezoid centroid. The pressure on the horizontal side is rectangular and constant. Its force equals the area of the rectangle and can act through the rectangle centroid or midpoint of its horizontal side.

After these three forces are added, the net resultant force on the curved plate is known. The center of pressure, which is the point where the liquid force acts, is then found using the principle of moments. This method can seem complex, but it gives an accurate force calculation for many engineering applications.

Finding Force on a Curved Plate in Water

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fluid pressure over curved plate of constant width

Fluid pressure on a curved plate of constant width changes in both size and direction. That makes the total force hard to find directly. A common method is to split the force into horizontal and vertical parts and then combine them. The calculation becomes simpler by replacing the distributed load with an equivalent two-dimensional loading. The first step is to include the weight of the liquid inside the block. That force equals the specific weight of the liquid times the plate thickness and...

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key terms and concepts

Learn how to find the resultant fluid force on a curved plate by splitting it into horizontal and vertical parts, then locating the center of pressure.

Finding Force on a Curved Plate in Water | JoVE K12

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Finding Force on a Curved Plate in Water

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