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Related Concept Videos

Shear Diagram01:27

Shear Diagram

1.9K
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...
1.9K
Shear on the Horizontal Face of a Beam Element01:16

Shear on the Horizontal Face of a Beam Element

620
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...
620
Shearing Stress01:18

Shearing Stress

2.6K
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.
2.6K
Normal and Shear Force01:14

Normal and Shear Force

3.9K
When a beam is subjected to different loads, such as weight, pressure, or other external forces, internal forces are generated within the beam. These forces can have a significant impact on the overall stability and strength of the structure. Engineers use various methods to analyze and determine the magnitude and direction of these internal forces. One common technique used to determine internal forces in beams is the method of sections. This method involves considering an imaginary point or...
3.9K
Shearing Strain01:20

Shearing Strain

1.9K
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...
1.9K
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

622
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...
622

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Related Experiment Video

Updated: Apr 4, 2026

The Assembly and Application of 'Shear Rings': A Novel Endothelial Model for Orbital, Unidirectional and Periodic Fluid Flow and Shear Stress
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The Assembly and Application of 'Shear Rings': A Novel Endothelial Model for Orbital, Unidirectional and Periodic Fluid Flow and Shear Stress

Published on: October 31, 2016

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Edges and Corners With Shearlets.

Miguel A Duval-Poo, Francesca Odone, Ernesto De Vito

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
    |September 10, 2015
    PubMed
    Summary
    This summary is machine-generated.

    Shearlets, a powerful multi-scale framework, excel at detecting directional features like edges and corners in signals. Experiments confirm their effectiveness for advanced feature detection in complex data.

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    Area of Science:

    • Signal Processing
    • Image Analysis
    • Computer Vision

    Background:

    • Traditional wavelets struggle with anisotropic information in multivariate data.
    • Shearlets offer a superior multi-scale framework for analyzing complex signals.
    • Directional features such as edges and corners are crucial in image analysis.

    Purpose of the Study:

    • To review shearlet properties relevant to edge and corner detection.
    • To investigate multi-scale edge and corner detection algorithms using shearlets.
    • To experimentally validate the efficacy of shearlets for feature detection.

    Main Methods:

    • Review of shearlet mathematical properties.
    • Development of multi-scale edge and corner detection algorithms.
    • Experimental evaluation on benchmark datasets.

    Main Results:

    • Shearlets effectively capture anisotropic information.
    • Algorithms based on shearlet representation demonstrate strong performance.
    • Experimental results confirm shearlets' potential for feature detection.

    Conclusions:

    • Shearlets provide an effective framework for multi-scale signal analysis.
    • Shearlets are well-suited for detecting directional features like edges and corners.
    • The study empirically validates shearlets for advanced feature detection applications.