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Related Concept Videos

Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

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The moment-area method is an analytical tool used in structural engineering to determine the slope and deflection of beams under various loads. Consider a cantilever with a concentrated load and moment at the free end. The first step is constructing a free-body diagram to calculate the reactions at the fixed end. Next, the bending moment diagram is plotted to visualize how the bending moment varies along the beam's length, focusing on points where the bending moment equals zero.
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Beams with Unsymmetric Loadings01:17

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Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
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In the design of a supported timber beam subjected to a distributed load, both the beam's physical dimensions and the timber's characteristics, such as its grade and species, are critical. These factors determine the allowable stress values, which are crucial for calculating the necessary beam depth to ensure structural integrity and safety.
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Related Experiment Video

Updated: Jan 18, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Published on: January 28, 2019

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Generalized partially coherent beams with nonseparable phases.

Lipeng Wan, Daomu Zhao

    Optics Letters
    |October 1, 2019
    PubMed
    Summary

    Researchers introduce novel partially coherent beams with unique nonseparable phases. These beams exhibit distinct propagation characteristics, including directional stretching and wing-like structures, offering new possibilities for optical applications.

    Area of Science:

    • Optics and Photonics
    • Wave Phenomena

    Background:

    • Partially coherent beams are crucial in various optical applications.
    • Conventional phase terms in beam descriptions have limitations.
    • The need for novel beam structures with controllable properties is recognized.

    Purpose of the Study:

    • To introduce a new family of partially coherent beams.
    • To incorporate nonseparable phases distinct from conventional terms.
    • To explore the unique propagation dynamics and potential applications of these novel beams.

    Main Methods:

    • Theoretical introduction of partially coherent beams with nonseparable phases.
    • Analysis based on the nonnegative definiteness of the cross-spectral density function.
    • Presentation and analysis of a nonuniform model beam with a quartic nonseparable phase.

    More Related Videos

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    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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    Last Updated: Jan 18, 2026

    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
    08:39

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    Published on: January 28, 2019

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    Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
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    Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

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    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

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    Main Results:

    • A new family of partially coherent beams with nonseparable phases is established.
    • These phases are shown to be incompatible with full coherence.
    • Propagation analysis reveals directional beam stretching and the formation of wing-like structures due to source coherence properties.

    Conclusions:

    • The introduced nonseparable phases offer a new degree of freedom for beam shaping.
    • The unique propagation characteristics enable the generation of customized partially coherent beams.
    • This work opens avenues for advanced optical applications requiring tailored beam profiles.