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Related Concept Videos

Beams01:30

Beams

1.8K
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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Prismatic Beams: Problem Solving01:15

Prismatic Beams: Problem Solving

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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.
The design begins with analyzing the beam as a free body to identify moments and force balances, thereby determining support reactions. Next, the...
445
Principal Stresses in a Beam01:11

Principal Stresses in a Beam

683
In prismatic beams subject to arbitrary transverse loading, It is essential to analyze the interaction between shear forces and bending moments in order to understand stress distribution and ensure structural integrity. The highest normal or bending stress occurs at the outer fibers of the beam, decreasing linearly to zero at the neutral axis. In contrast, shear stress peaks at the neutral axis and diminishes toward the outer surfaces.
Analyzing principal stresses is crucial, especially in...
683
Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

387
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...
387
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

411
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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Dynamic control of plasmonic beams.

Dror Weisman, Ady Arie

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    We demonstrate dynamic control of plasmonic beams using the thermo-optic effect. This enables active plasmonic devices like mode converters and tunable lenses for advanced optical applications.

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    Area of Science:

    • Plasmonics
    • Optoelectronics
    • Materials Science

    Background:

    • Plasmonic beams, confined to metal-dielectric interfaces, offer unique light-matter interaction possibilities.
    • Controlling plasmonic beam wavefronts dynamically is crucial for integrated photonic devices.

    Purpose of the Study:

    • To experimentally demonstrate dynamic, electrically controlled shaping of plasmonic beams.
    • To develop active plasmonic devices leveraging the thermo-optic effect for wavefront modulation.

    Main Methods:

    • Utilizing the thermo-optic effect by selectively heating a metal layer beneath a dielectric.
    • Injecting electrical current to induce temperature gradients and modulate the dielectric's refractive index.
    • Demonstrating device functionality through plasmonic mode conversion and tunable lensing.

    Main Results:

    • Achieved dynamic, electrically controlled shaping of plasmonic beams.
    • Successfully implemented a plasmonic mode converter for Hermite-Gauss modes.
    • Developed a tunable plasmonic lens with a dynamically adjustable focal length.

    Conclusions:

    • The thermo-optic effect provides an effective mechanism for active plasmonic beam shaping.
    • Demonstrated the potential of this approach for creating versatile, reconfigurable plasmonic devices.
    • Opens avenues for advanced integrated optical systems with electrical control.