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

Consider a toggle clamp subjected to a force of 200 Newton at the handle.
What is the vertical clamping force, provided the dimensions of the toggle clamp are known?
This system is a machine structure consisting of movable, pin-connected multi-force members that form a stabilized system to transmit forces.
Here, member CD is a two-force member. So the collinear forces acting at both ends are equal in magnitude but opposite in direction.
A free-body diagram for the section BCF is constructed, and the moment equilibrium condition is applied at the pivot pin B. The result gives the value of the force along member CD.
Applying the horizontal force equilibrium condition, the horizontal reaction force at joint B is obtained.
Now, considering a free-body diagram for section EBA, the moment equilibrium condition can be applied at joint A.
Substituting the value of the horizontal reaction force at B into the moment equilibrium equation, the force acting on the clamping plate at point E is obtained.

machines: probleemoplossing i

Een hendel klem is een mechanisch apparaat dat vaak wordt gebruikt om objecten vast te houden en klemmen in verschillende toepassingen, zoals houtbewerking, metaalbewerking en assemblage bewerkingen. Neem een hendel klem onderworpen aan een kracht van 200 N aan de hendel. De verticale klemdruk kan worden berekend, op voorwaarde dat de afmetingen van de hendel klem bekend zijn. Het hendel klem systeem is een machineconstructie bestaande uit beweegbare, gekoppelde leden die een gestabiliseerd systeem vormen om krachten over te brengen. Het lid CD is een twee machtslid, wat betekent dat de collineaire krachten die op beide uiteinden werken, gelijk van grootte zijn maar tegengesteld in richting. <img alt="Figure 1" src="/files/ftp_upload/14294/14294_PT_Fig_1v2.svg" style="text-align: center; height: 350px;"> Een vrijlichaamsdiagram voor de sectie BCF wordt beschouwd om de krachten te analyseren. De momentevenwichtsconditie wordt toegepast op de scharnierpen B. <img alt="Equation 1" src="/files/ftp_upload/14294/14294_PT_Equation_1v2.svg" style="text-align: center; height: 13px;"> De uitkomst geeft de kracht langs lid CD als 2185,64 N. Door de waarde van de kracht langs lid CD in de horizontale kracht eenheidsevenwichtsconditie te substitueren, wordt de kracht Bx berekend als 1092,82 N. <img alt="Equation 2" src="/files/ftp_upload/14294/14294_PT_Equation_2v2.svg" style="text-align: center; height: 13px;"> Wanneer een vrijlichaamsdiagram voor de sectie EBA wordt beschouwd, wordt de moment evenwichtsconditie toegepast op het scharnierpunt A. <img alt="Equation 3" src="/files/ftp_upload/14294/14294_PT_Equation_3v2.svg" style="text-align: center; height: 13px;"> Door de waarde van de horizontale reactiekracht bij B in de moment evenwichtsvergelijking te substitueren, wordt de waarde van de verticale klemdruk bij punt E berekend als 728,55 N.

Machines: Probleemoplossing I

A toggle clamp is a mechanical device commonly used for holding and clamping objects in various applications, such as woodworking, metalworking, and ...

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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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