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Related Concept Videos

Shear Diagram01:27

Shear Diagram

In the study of beam mechanics, shear diagrams play a crucial role in understanding the distribution of shear forces along the length of a beam. Consider a beam AB that is supported at both ends and subjected to perpendicular loads.
First, a free-body diagram of the beam is drawn, representing all the external forces and internal reactions acting on the beam. One can calculate the reaction forces at each support by employing the equilibrium equations of force and moment. The vertical component...
Shearing Strain01:20

Shearing Strain

The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between the...
Shearing Stress01:18

Shearing Stress

Shearing stress, denoted by the Greek letter tau (τ), is stress caused by forces acting transversely on an object. These forces create internal ones within the entity in the plane where the external forces are applied. The resultant of these internal forces is the shear in the section.
The average shearing stress can be calculated by dividing the shear by the area of the cross-section.
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
Measurements of Strain01:27

Measurements of Strain

Strain quantifies the deformation of a material under force, typically measured as normal strain, which represents the change in length when compared with the original length. Electrical strain gauges are used for enhanced accuracy. These devices consist of a conductive wire mounted on a paper backing that adheres to the material's surface. These gauges operate on the piezoresistive effect, where the wire's electrical resistance changes in response to mechanical deformation. The strain gauge...

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Related Experiment Video

Updated: Jun 5, 2026

Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography
09:00

Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography

Published on: September 29, 2019

Quantitative shearography: error reduction by using more than three measurement channels.

Tom O H Charrett1, Daniel Francis, Ralph P Tatam

  • 1Department of Engineering Photonics, School of Engineering, Cranfield University, Cranfield, Bedford, MK43 0AL, UK.

Applied Optics
|January 12, 2011
PubMed
Summary
This summary is machine-generated.

Adding more measurement channels to shearography (an optical technique for strain measurement) significantly reduces errors. Increasing channels from three to ten can decrease computational errors by up to 45%.

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Last Updated: Jun 5, 2026

Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography
09:00

Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography

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Area of Science:

  • Optics
  • Materials Science
  • Mechanical Engineering

Background:

  • Shearography is a noncontact optical technique measuring surface displacement derivatives.
  • Full surface strain characterization requires at least three measurement channels.
  • Conventional three-channel configurations amplify measurement errors during transformation.

Purpose of the Study:

  • To investigate the impact of additional measurement channels on shearography accuracy.
  • To quantify error reduction in strain measurement using enhanced shearography configurations.

Main Methods:

  • Utilized a computer model to simulate shearography systems.
  • Employed an experimental shearography system for validation.
  • Analyzed the effect of increasing measurement channels on error propagation.

Main Results:

  • Adding a fourth measurement channel reduced computed orthogonal component errors by up to 33%.
  • Simulations indicated potential error reductions of approximately 45% with ten channels.
  • Increased channel count demonstrably improves quantitative strain measurement accuracy.

Conclusions:

  • Employing more than three measurement channels in shearography is beneficial for reducing strain measurement errors.
  • The study validates the effectiveness of multi-channel shearography for enhanced accuracy.
  • Further research can explore optimal channel configurations for various applications.