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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...
Shear and Bending Moment Diagram: Problem Solving01:24

Shear and Bending Moment Diagram: Problem Solving

When analyzing a beam supporting concentrated loads and a distributed load, drawing the shear and bending moment diagrams is essential. These diagrams help understand the internal forces and moments acting on the beam, which is crucial for designing safe and efficient structures. Follow these steps to create the shear and bending moment diagrams:
Draw a Free-Body Diagram: Start by drawing a free-body diagram of the entire beam, including the concentrated loads, distributed load, and reaction...
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...
Singularity Functions for Shear01:26

Singularity Functions for Shear

In structural analysis, singularity functions are crucial in simplifying the representation of shear forces in beams under discontinuous loading. These functions describe discontinuous variations in shear force across a beam with varying loads by using a single mathematical expression, regardless of the complexity of the loading conditions. The singularity functions are derived from creating a free-body diagram of the beam and then making conceptual cuts at specific points to examine the shear...
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.
Shear on the Horizontal Face of a Beam Element01:16

Shear on the Horizontal Face of a Beam Element

To understand shear on the flat side of a prismatic beam element, consider the vertical and horizontal shearing forces, and the normal forces, acting on the element. The element's upper (U) and lower (L) sections, which are divided by the beam's neutral axis, are examined. The equilibrium of these forces is determined by applying the equilibrium equation, which helps identify the horizontal shearing force. This force is directly related to the bending moments and the cross-section's first...

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Related Experiment Video

Updated: Jun 8, 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

Analysis of shearogram reconstruction.

S L Toh, C J Tay, H M Shang

    Applied Optics
    |September 11, 2010
    PubMed
    Summary
    This summary is machine-generated.

    High-pass Fourier filtering with a stopper reconstructs shearograms but alters light intensity. This analysis reveals differences from the original shearogram, though high fringe visibility is achieved.

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    Last Updated: Jun 8, 2026

    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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    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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    Published on: February 6, 2014

    Area of Science:

    • Optical Engineering
    • Image Processing

    Background:

    • Shearography is a widely used optical technique for non-destructive testing.
    • High-pass Fourier filtering with an opaque stopper is a common method for shearogram reconstruction.

    Purpose of the Study:

    • To provide a theoretical analysis of the high-pass Fourier filtering technique with an opaque stopper for shearogram reconstruction.
    • To investigate the impact of the stopper on the reconstructed light-intensity distribution.

    Main Methods:

    • Theoretical analysis of the shearogram reconstruction system.
    • Investigation of the low-frequency blocking effect of the opaque stopper in the Fourier transform plane.

    Main Results:

    • The light-intensity distribution after reconstruction differs from the original shearogram.
    • High fringe visibility is achieved through high-pass filtering.

    Conclusions:

    • The opaque stopper in high-pass Fourier filtering affects the reconstructed shearogram.
    • Despite alterations, the technique effectively achieves high fringe visibility for shearogram analysis.