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Related Concept Videos

Net Torque Calculations01:19

Net Torque Calculations

When a mechanic tries to remove a hex nut with a wrench, it is easier if the force is applied at the farthest end of the wrench handle. The lever arm is the distance from the pivot point (the hex nut in this case) to the person’s hand. If this distance is large, the torque is higher. Only the component of the force perpendicular to the lever arm contributes to the torque. Therefore, pushing the wrench perpendicular to the lever arm is more advantageous. If multiple people apply force to rotate...
Torque01:10

Torque

Torque is an important quantity for describing the dynamics of a rotating rigid body. We see the application of torque in many ways in the world, such as when pressing the accelerator in a car, which causes the engine to apply additional torque on the drivetrain. Here, we define torque and provide a framework to create an equation to calculate torque for a rigid body with fixed-axis rotation.
Torque can be considered as the rotational counterpart to force. Since forces change the translational...
Work and Energy for Variable Forces01:10

Work and Energy for Variable Forces

When an object is acted upon by a variable force, the amount of work done and the change in energy of the object can be more complex to calculate compared to when a constant force is applied. Work is the product of force and displacement, while energy is the capacity of a system to do work. When a constant force is applied to an object, the work done can be calculated as the product of the force and the distance moved in the direction of the force. However, when a variable force is applied, the...
Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution of...
Method of Joints: Problem Solving I01:30

Method of Joints: Problem Solving I

The method of joints is a commonly used technique to analyze the forces in structural trusses. The method is based on the principle of equilibrium, which assumes that the truss members are connected by frictionless pins. The forces at each joint can be determined by considering the equilibrium of the forces acting on that joint. Consider a truss structure with two forces of 20 N and 10 N acting at joints C and D, respectively. The method of joints can be used to determine the forces FCB, FDC,...
Method of Joints: Problem Solving II01:30

Method of Joints: Problem Solving II

Consider a truss structure with frictionless joints fixed to a wall and roller support. If a force of 150 N is applied to joint A, the forces in each member of the truss can be determined using the method of joints.

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Related Experiment Video

Updated: Jun 6, 2026

Construction of Constant-Load (Isotonic) and Constant-Velocity (Isokinetic) Torque-Velocity-Power Profiles In vivo for the Rat Plantar Flexors
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Comparing different approaches for determining joint torque parameters from isovelocity dynamometer measurements.

S E Forrester1, M R Yeadon, M A King

  • 1Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University, Loughborough LE11 3TU, UK. s.forrester@lboro.ac.uk

Journal of Biomechanics
|December 17, 2010
PubMed
Summary

This study optimized fitting maximum voluntary torque functions to experimental data. A protocol using weighted RMSD and independent angular velocity estimates improves accuracy for dynamic human movement modeling.

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Area of Science:

  • Biomechanics
  • Human Performance
  • Motor Control

Background:

  • Maximum joint torque is crucial for human movement, clinical assessment, and performance research.
  • Accurate modeling of maximum voluntary torque is essential for understanding and predicting dynamic human actions.

Purpose of the Study:

  • To determine the optimal protocol for fitting maximum voluntary torque functions to experimental joint torque data.
  • To enhance the reliability and accuracy of torque-based modeling in dynamic human movement.

Main Methods:

  • Fitted a nine-parameter maximum voluntary torque function to experimental knee extension data from three participants.
  • Investigated the impact of using an independent estimate of maximum angular velocity versus dynamometer measurements alone.
  • Evaluated a weighted root mean square difference (RMSD) score function to account for sub-maximal effort noise.

Main Results:

  • Using an independent estimate of maximum knee extension angular velocity reduced variability in the high concentric velocity region.
  • A weighted RMSD function, emphasizing data below the torque curve, effectively handled noise from sub-maximal efforts (73-92% of data).
  • The optimized protocol yielded a weighted RMSD of 11-13 Nm (4-5% of maximum isometric torque).

Conclusions:

  • A recommended protocol combining a weighted RMSD score and independent maximum angular velocity estimation improves maximum voluntary joint torque function fitting.
  • This protocol enhances the accuracy of torque-based modeling for dynamic human movement.
  • The findings provide a more robust method for clinical and research applications involving joint torque analysis.