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Related Concept Videos

Wedges01:24

Wedges

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A wedge is a simple machine that serves various purposes, such as adjusting the elevation of structural or mechanical parts, providing stability for heavy objects, and splitting a body into two parts. This versatile tool can amplify an applied force, making it easier to manipulate large or heavy objects.
Consider using a wedge to lift a heavy slab. Here, the wedge functions by converting the applied force into a much larger force directed almost perpendicular to the initial force. This...
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Design Example: Traverse Angle Computations01:25

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Traverse angle computations are a critical component of surveying, used to compute the internal angles within a closed traverse. A traverse consists of a series of connected lines forming a closed loop, often used for land boundary delineation or mapping. Calculating the internal angles ensures accuracy in the traverse geometry and is essential for checking survey data integrity.The process begins with known azimuths and bearings of the traverse sides. Internal angles at each vertex are...
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Interference and Diffraction02:18

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Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
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Design Example: Calculating Safe Diameter for Wind-Exposed Disc01:17

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Assessing safety in wind-exposed installations is crucial to preventing potential failures. This example explores the calculation and design adjustments needed to mount a circular disc on a building facade, where wind forces are a primary concern. A 4-meter diameter disc was initially designed as an aesthetic feature facing winds at a velocity of 25 meters per second, with an air density of 1.25 kilograms per cubic meter. Given these conditions, the drag force on the disc was determined using...
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Unsymmetric Bending - Angle of Neutral Axis01:15

Unsymmetric Bending - Angle of Neutral Axis

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Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
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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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Evanescent Field Based Photoacoustics: Optical Property Evaluation at Surfaces
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TD-UAPO diffracted field evaluation for penetrable wedges with acute apex angle.

M Frongillo, G Gennarelli, G Riccio

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |September 15, 2015
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    This study presents novel closed-form expressions for time-domain diffraction coefficients of penetrable dielectric wedges. These findings advance the analysis of transient electromagnetic wave propagation and scattering phenomena.

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    Area of Science:

    • Electromagnetics and Wave Propagation
    • Computational Physics
    • Applied Mathematics

    Background:

    • Diffraction analysis is crucial for understanding wave phenomena.
    • Transient analysis of electromagnetic waves presents significant challenges.
    • Existing methods for dielectric wedge diffraction lack closed-form time-domain solutions.

    Purpose of the Study:

    • To derive closed-form expressions for time-domain diffraction coefficients.
    • To analyze the transient diffraction phenomenon for penetrable acute-angled dielectric wedges.
    • To provide a novel analytical solution for a challenging electromagnetic problem.

    Main Methods:

    • Utilized frequency-domain diffraction coefficients.
    • Applied inverse Laplace transform to asymptotic physical optics coefficients.
    • Evaluated transient diffracted fields using convolution integrals.

    Main Results:

    • Successfully determined closed-form expressions for time-domain diffraction coefficients.
    • Provided a method for evaluating transient diffracted fields.
    • The derived expressions are valid for both the internal and external regions of the wedge.

    Conclusions:

    • The study offers the first available closed-form expressions for the diffraction coefficients in the time-domain for this problem.
    • The findings contribute a significant analytical advancement in transient wave diffraction theory.
    • This work facilitates more accurate modeling of electromagnetic wave interactions with dielectric structures.