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Related Concept Videos

Shear Diagram01:27

Shear Diagram

1.7K
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...
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Shearing Stress01:19

Shearing Stress

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Shearing stress, denoted by the Greek letter tau (Ď„), 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.
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Shearing Strain01:20

Shearing Strain

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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...
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Lateralization01:28

Lateralization

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Brain lateralization refers to the division of mental processes and functions between the two hemispheres of the brain, a phenomenon that optimizes neural efficiency and underpins complex abilities in humans. This specialization allows each hemisphere to perform tasks where it has a comparative advantage, facilitating more refined cognitive capabilities across different domains.
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Normal and Shear Force01:14

Normal and Shear Force

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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...
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Singularity Functions for Shear01:26

Singularity Functions for Shear

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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...
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Automated 3D Optical Coherence Tomography to Elucidate Biofilm Morphogenesis Over Large Spatial Scales
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Measuring spatial coherence by using a lateral shearing interferometry.

Luping Pan, Xingbing Chao, Zhi-Cheng Ren

    Applied Optics
    |January 16, 2019
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    Summary
    This summary is machine-generated.

    A novel lateral shearing interferometry method accurately measures spatial coherence in partially coherent light beams. This technique utilizes a diffraction grating and spatial light modulator for precise control and analysis of light wave properties.

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    Area of Science:

    • Optics and Photonics
    • Wave Phenomena
    • Coherence Theory

    Background:

    • Spatial coherence is a fundamental property of light beams, crucial for understanding wave propagation and imaging.
    • Accurate measurement of spatial coherence is essential for applications in optical communication, microscopy, and remote sensing.
    • Existing interferometric methods for coherence measurement can be complex or lack flexibility.

    Purpose of the Study:

    • To propose and demonstrate a modified lateral shearing interferometry technique for measuring the spatial coherence of partially coherent light beams.
    • To introduce a flexible and controllable method for generating sheared wavefronts using a spatial light modulator (SLM).
    • To validate the proposed method by obtaining the complex degree of spatial coherence through fringe pattern analysis.

    Main Methods:

    • A modified lateral shearing interferometer was designed, incorporating a 4f optical system.
    • The system utilized a diffraction grating to split the light beam and a spatial light modulator (SLM) to control wavefronts.
    • The SLM generated a tunable blazing grating to precisely control the lateral displacement (shearing) of the two wave components.
    • Shearing interferograms were formed and analyzed using Fourier analysis to extract coherence information.

    Main Results:

    • The proposed interferometry successfully generated shearing interferograms of partially coherent light beams.
    • The spatial light modulator allowed for flexible and precise control over the lateral shear amount.
    • Measurements of the fringe patterns enabled the calculation of the complex degree of spatial coherence.
    • The method demonstrated its capability to characterize the spatial coherence properties of the light field.

    Conclusions:

    • The modified lateral shearing interferometry offers a flexible and effective approach for measuring the spatial coherence of partially coherent light.
    • The integration of an SLM provides precise control over the shearing parameter, enhancing measurement accuracy.
    • This technique provides a valuable tool for the characterization of light beams in various optical applications.