Name: toggle clamp force analysis
Uploaded: 2023-09-22T11:49:25.000Z
Duration: 1 min 22 s
Channel: JoVE

Considere una abrazadera de palanca sometida a una fuerza de 200 Newton en el mango.
¿Cuál es la fuerza de sujeción vertical, siempre que se conozcan las dimensiones de la abrazadera de palanca?
Este sistema es una estructura de máquina que consta de miembros móviles de fuerza múltiple conectados por clavijas que forman un sistema estabilizado para transmitir fuerzas.
Aquí, el miembro CD es un miembro de dos fuerzas. Por lo tanto, las fuerzas colineales que actúan en ambos extremos son iguales en magnitud pero opuestas en dirección.
Se construye un diagrama de cuerpo libre para la sección BCF y se aplica la condición de equilibrio de momento en el pin de pivote B. El resultado da el valor de la fuerza a lo largo de la barra CD.
Aplicando la condición de equilibrio de fuerzas horizontales, se obtiene la fuerza de reacción horizontal en la unión B.
Ahora, considerando un diagrama de cuerpo libre para la sección EBA, la condición de equilibrio de momento se puede aplicar en la junta A.
Sustituyendo el valor de la fuerza de reacción horizontal en B en la ecuación de equilibrio de momentos, se obtiene la fuerza que actúa sobre la placa de sujeción en el punto E.

<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. 348</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.

máquinas: resolución de problemas i

Un sujetador de palanca es un dispositivo mecánico comúnmente utilizado para sostener y sujetar objetos en diversas aplicaciones, como carpintería, metalurgia y operaciones de ensamblaje. Se puede calcular la fuerza de sujeción vertical siempre que se conozcan las dimensiones del sujetador de palanca y se le aplique una fuerza de 200 N en el mango. El sistema del sujetador de palanca es una estructura de máquina que consiste en miembros de fuerza múltiple conectados por pasador que forman un sistema estabilizado para transmitir fuerzas. El miembro CD es un miembro de fuerza doble, lo que significa que las fuerzas colineales que actúan en ambos extremos tienen igual magnitud pero dirección opuesta. <img alt="Figure 1" src="/files/ftp_upload/14294/14294_PT_Fig_1v2.svg" style="text-align: center; height: 350px;"> Se considera un diagrama de cuerpo libre para la sección BCF para analizar las fuerzas. La condición de equilibrio de momento se aplica al pasador pivotante B. <img alt="Equation 1" src="/files/ftp_upload/14294/14294_PT_Equation_1v2.svg" style="text-align: center; height: 13px;"> El resultado da una fuerza a lo largo del miembro CD de 2185.64 N. Sustituyendo el valor de la fuerza a lo largo del miembro CD en la condición de equilibrio de fuerza horizontal, se calcula la fuerza Bx como 1092.82 N. <img alt="Equation 2" src="/files/ftp_upload/14294/14294_PT_Equation_2v2.svg" style="text-align: center; height: 13px;"> Considerando un diagrama de cuerpo libre para la sección EBA, se aplica la condición de equilibrio de momento en la articulación A. <img alt="Equation 3" src="/files/ftp_upload/14294/14294_PT_Equation_3v2.svg" style="text-align: center; height: 13px;"> Sustituyendo el valor de la fuerza de reacción horizontal en B en la ecuación de equilibrio de momento, se calcula que la fuerza de sujeción vertical en el punto E es de 728.55 N.

Máquinas: Resolución de problemas I

Una abrazadera de palanca es un dispositivo mecánico comúnmente utilizado para sujetar y sujetar objetos en diversas aplicaciones, como carpintería, metalurgia y ...

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Machines: Problem Solving I

toggle clamp force analysis

A toggle clamp can be analyzed to find its clamping force from a known handle force. In this example, a 200 N force is applied at the handle. The clamp is used in holding and clamping tasks in woodworking, metalworking, and assembly operations.

The toggle clamp is a machine structure made of movable, pin-connected multi-force members. These members form a stabilized system that transmits force. Member CD is a two-force member, which means the forces at its ends are equal in magnitude and opposite in direction.

To solve the force problem, a free-body diagram is drawn for section BCF. The moment equilibrium condition is applied about pivot pin B. This gives the force along member CD as 2185.64 N. That value is then used in the horizontal force equilibrium equation to find the horizontal reaction at B, Bx = 1092.82 N.

A second free-body diagram is then taken for section EBA. The moment equilibrium condition is applied at joint A. Using the horizontal reaction force at B, the vertical clamping force at point E is found to be 728.55 N.

Toggle Clamp Force Analysis

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key terms and concepts

Learn how a toggle clamp uses free-body diagrams and equilibrium equations to turn a 200 N handle force into a 728.55 N clamping force.

Toggle Clamp 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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Toggle Clamp Force Analysis

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