Name: hydraulic hoist force analysis
Uploaded: 2023-09-22T11:49:25.000Z
Duration: 1 min 26 s
Channel: JoVE

Considere un polipasto hidráulico que soporta una carga.
Suponiendo una representación esquemática simplificada de esta estructura de pórtico, ¿qué fuerza actúa sobre los miembros BD y BF, siempre que se conozcan las dimensiones del miembro y el peso de la carga?
Aquí, BF y BD son dos miembros de fuerza, mientras que EFG y EDC son miembros de fuerza múltiple.
Se dibuja un diagrama de cuerpo libre para el miembro EFG que indica todas las fuerzas.
Las componentes vertical y horizontal de la fuerza FBF se pueden expresar mediante un triángulo de pendiente.
La condición de equilibrio de momento en la unión E da la fuerza F BF .
Luego, aplicando la condición de equilibrio de fuerzas horizontales en la unión E, se evalúa la fuerza de reacción horizontal en E.
De manera similar, la condición de equilibrio de fuerza vertical da la fuerza de reacción vertical en la unión E.
Ahora, dibujando un diagrama de cuerpo libre para el miembro EDC, los componentes de la fuerza a lo largo de BD se pueden expresar usando otro triángulo de pendiente.
Aplicando la condición de equilibrio de momento en el punto C, se calcula la fuerza F BD.

<ol>
	<li>Hibbeler, R.C. (2016). Ingeniería Mecánica \u2012 Estática y Dinámica. Hoboken, Nueva Jersey: Pearson Prentice Hall. Págs. 305.</li>
	<li>Cerveza, F.P.; Johnston, E.R.; Mazurek, D.F.; Cromwell, P.J. y Self, B.P. (2019). Mecánica vectorial para ingenieros: estática y dinámica. Nueva York: McGraw-Hill. págs. 330</li>
	<li>Meriam, J.L., Kraige, L.G., y Bolton, J.N. (2020). Ingeniería Mecánica \u2012 Estática. Hoboken, Nueva Jersey: John Wiley. págs. 200</li>
</ol>

No se han declarado conflictos de interés.

marcos: resolución de problemas ii

Considerar un montacargas hidráulico que soporta una carga de 1 kN. Suponiendo una representación esquemática simplificada de esta estructura de cuadro, se puede determinar la fuerza que actúa en los miembros BD y BF. <img alt="Figure 1" src="/files/ftp_upload/14292/14292_PT_Fig_1v2.svg" style="text-align: center; height: 350px;"> Las dimensiones del miembro y el peso de la carga son parámetros conocidos. Esta estructura se puede considerar un marco con BF y BD actuando como miembros de dos fuerzas, mientras que EFG y EDC son miembros de múltiples fuerzas. Se considera un diagrama de cuerpo libre para el miembro EFG. La fuerza inclinada FBF puede descomponerse en las componentes vertical y horizontal. Se aplica la condición de equilibrio de momentos en la articulación E. <img alt="Equation 1" src="/files/ftp_upload/14292/14292_PT_Equation_1v2.svg" style="text-align: center; height: 15px;"> La fuerza FBF se calcula como 1.546 kN. Luego, se aplica la condición de equilibrio de fuerzas horizontales en la unión E. <img alt="Equation 2" src="/files/ftp_upload/14292/14292_PT_Equation_2v2.svg" style="text-align: center; height: 15px;"> Sustituyendo el valor de la componente horizontal de FBF en la ecuación de equilibrio, se calcula la fuerza de reacción horizontal en E como 0.375 kN. De manera similar, se aplica la condición de equilibrio de fuerzas verticales. <img alt="Equation 3" src="/files/ftp_upload/14292/14292_PT_Equation_3v2.svg" style="text-align: center; height: 15px;"> La fuerza de reacción vertical calculada en la unión E es de 0.500 kN. Ahora, se considera un diagrama de cuerpo libre para el miembro EDC. Las componentes horizontal y vertical de FBD se pueden expresar utilizando un triángulo de pendiente. Se aplica la condición de equilibrio de momentos en el punto C. <img alt="Equation 4" src="/files/ftp_upload/14292/14292_PT_Equation_4v2.svg" style="text-align: center; height: 15px;"> La fuerza FBD se calcula como 1.677 kN.

Marcos: Resolución de Problemas II

Considere un polipasto hidráulico que soporta una carga de 1 kN. Suponiendo una representación esquemática simplificada de esta estructura de marco, la fuerza que actúa sobre BD y ...

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Frames: Problem Solving II

hydraulic hoist force analysis

Hydraulic hoist force analysis shows how to find the forces in key members of a simple frame. The load is 1 kN, and the structure is represented with known member dimensions. In this setup, BF and BD act as two-force members. EFG and EDC are multi-force members, so each one is analyzed with a free-body diagram.

The first step is to study member EFG. The inclined force in BF is split into vertical and horizontal parts. Then the moment equilibrium condition is applied at joint E. Using this step, the force in BF is found to be 1.546 kN.

Next, the horizontal force equilibrium at joint E is used. The horizontal part of the BF force is substituted into the equation. This gives the horizontal reaction force at E as 0.375 kN. The vertical force equilibrium at the same joint is also applied. The vertical reaction force at E is calculated as 0.500 kN.

A free-body diagram for member EDC is then considered. The horizontal and vertical parts of FBD are written using a slope triangle. Finally, the moment equilibrium condition at point C is applied. This calculation gives the force in BD as 1.677 kN.

Hydraulic Hoist Force Analysis

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Hydraulic hoist force analysis shows how to find the forces in key members of a simple frame. The load is 1 kN, and the structure is represented with known member dimensions. In this setup, BF and BD act as two-force members. EFG and EDC are multi-force members, so each one is analyzed with a free-body diagram. The first step is to study member EFG. The inclined force in BF is split into vertical and horizontal parts. Then the moment equilibrium condition is applied at joint E. Using this...

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key terms and concepts

Analyze a hydraulic hoist frame with free-body diagrams, equilibrium equations, and two-force members to find forces in BF, BD, and reactions at E.

Hydraulic Hoist Force Analysis | JoVE K12

JoVE Core Mechanical Engineering offers concise, easy-to-understand animated videos covering key topics such as equilibrium, forces, truss analysis, and structural mechanics. Explore their real-world applications, and witness these concepts in action through scientist-led experiments.

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Hydraulic Hoist Force Analysis

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