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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.
The M/EI...
277
Singularity Functions for Bending Moment01:18

Singularity Functions for Bending Moment

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Singularity functions simplify the representation of bending moments in beams subjected to discontinuous loading, allowing the use of a single mathematical expression. For a supported beam AB, with uniform loading from its midpoint M to the right side end B, the approach involves conceptual 'cuts' at specific points to determine the bending moment in each segment. By cutting the beam at a point between A and M, the bending moment for the segment before reaching midpoint M is represented...
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Beams01:30

Beams

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Beams are integral components of structural engineering and construction, designed to support loads applied at various points along their length. These long, straight members can be classified based on geometry, cross-section, support type, and equilibrium condition.
Based on geometry, beams can be straight, tapered, or curved. Straight beams are the most common type and have a constant cross-section throughout their length. Tapered beams, on the other hand, have a varying cross-section along...
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Deflection of a Beam01:19

Deflection of a Beam

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Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
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Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

213
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.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
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Design of Prismatic Beams for Bending01:23

Design of Prismatic Beams for Bending

441
The design of prismatic beams, structural elements with a uniform cross-section, focuses on ensuring safety and structural integrity under load. The design process begins by determining the allowable stress, either from material properties tables, or by dividing the material's ultimate strength by a safety factor. This safety factor is essential for accommodating uncertainties, and varies depending on the material—timber, steel, or concrete—with each having unique strength and...
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Topological bimeronic beams.

Yijie Shen

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    |July 30, 2021
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    Summary
    This summary is machine-generated.

    Researchers introduced bimeronic beams, a new structured light, to mimic bimeron quasiparticles. These beams allow for reconfigurable topological light textures, generalizing skyrmion transformations.

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    Area of Science:

    • Quantum optics
    • Condensed matter physics
    • Topological photonics

    Background:

    • Skyrmions are quasiparticles with unique topological properties, crucial in condensed matter physics.
    • Structured light offers versatile platforms for exploring fundamental physics phenomena.
    • Topological transformations in light are essential for advanced optical applications.

    Purpose of the Study:

    • To propose a novel family of structured light, termed bimeronic beams.
    • To demonstrate that bimeronic beams can emulate the topological structures of bimerons.
    • To explore the reconfigurability of topological light states using these beams.

    Main Methods:

    • Theoretical proposal of bimeronic beams.
    • Analysis of polarization Stokes vectors to emulate bimeron structures.
    • Tuning of mode parameters to achieve reconfigurable topological textures.

    Main Results:

    • Bimeronic beams successfully emulate bimeron topological structures.
    • Reconfigurable topological textures are achieved by adjusting beam parameters.
    • A mechanism for transforming diverse topological states of light is unveiled.

    Conclusions:

    • Bimeronic beams provide a new tool for studying topological physics in light.
    • These beams generalize skyrmionic transformations, offering broader possibilities.
    • The findings open avenues for novel applications in topological photonics.