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Principle of Virtual Work: Problem Solving

Principle of Virtual Work: Problem Solving

The principle of virtual work is an essential concept in the field of mechanics and engineering. This is used to solve problems related to the equilibrium of a structure or system. It is based on the assumption that if a system is in equilibrium, the work done by all the forces during a virtual displacement is zero. This principle is applied by considering virtual displacements of the system and the corresponding work done by internal and external forces.
To apply the principle of virtual work,...

Virtual Work

Virtual Work

The principle of virtual work states that if a body is in static and dynamic equilibrium, then the sum of all the virtual work done by all external forces and couple moments for any given virtual displacement must be zero.
In static equilibrium, a body can experience an imaginary or virtual movement, such as displacement or rotation. The virtual work done by a force is equal to the dot product of force and virtual displacement in the direction of the force. When it comes to virtually rotating a...

Virtual Work for a System of Connected Rigid Bodies

Virtual Work for a System of Connected Rigid Bodies

Virtual work is a powerful method used to solve problems involving several connected rigid bodies. When the system is in equilibrium, virtual work is zero. This allows the calculation of the resulting forces when a system undergoes a virtual displacement. When attempting to analyze such a system, first, use a free-body diagram, where an independent coordinate represents the configuration of the links, and mark its deflected position resulting from the positive virtual displacement.
Next,...

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Related Experiment Video

Updated: Oct 19, 2025

Author Spotlight: Addressing Technical and Subjective Challenges in Measuring Classroom Attention

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An implementation of virtual white board using open CV for virtual classes.

S V Aswin Kumer¹, P Kanakaraja¹, Sheik Areez¹

¹Electronics and Communication Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram, AP 522502, India.

Materials Today. Proceedings

|September 20, 2021

Summary

This project, "Drawing on Air," offers a contactless solution to reduce virus transmission by enabling users to interact with screens without physical touch. It

Keywords:

Feature extraction Image processing Open CV Python Virtual classroom Virtual white board

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Published on: October 18, 2024

Area of Science:

Human-Computer Interaction
Public Health
Infectious Disease Control

Background:

Surface contact is a significant vector for virus transmission, particularly during pandemics like the recent coronavirus outbreak.
High-touch surfaces like ATM keypads and biometric scanners pose a risk for pathogen spread.
The need for contactless interaction solutions has become critical in public health crises.

Purpose of the Study:

To introduce and evaluate a novel contactless interface system called "Drawing on Air."
To demonstrate the system's potential in mitigating virus transmission in public spaces.
To provide an alternative to traditional touch-based interactions in high-risk environments.

Main Methods:

The "Drawing on Air" system utilizes air gestures to create digital input, which is then rendered on a display.
The technology avoids direct physical contact with shared surfaces.
Implementation scenarios include ATMs, biometric systems, and cyber cafes.

Main Results:

The system successfully translates air-drawn inputs into on-screen actions without surface contact.
Potential for significant reduction in virus transmission through elimination of touch-based interactions.
Versatile application across various public and private touchpoints.

Conclusions:

"Drawing on Air" presents an effective contactless technology to combat the spread of viruses.
The system offers a viable alternative for secure and hygienic interactions in public facilities.
Further development and deployment can enhance public safety during health emergencies.