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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...
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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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Shear on the Horizontal Face of a Beam Element01:16

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To understand shear on the flat side of a prismatic beam element, consider the vertical and horizontal shearing forces, and the normal forces, acting on the element. The element's upper (U) and lower (L) sections, which are divided by the beam's neutral axis, are examined. The equilibrium of these forces is determined by applying the equilibrium equation, which helps identify the horizontal shearing force. This force is directly related to the bending moments and the cross-section's...
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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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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.
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Shearing Stresses in a Beam: Problem Solving01:14

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A cantilever beam with a rectangular cross-section under distributed and point loads experiences shearing stresses. The analysis begins by identifying the loads acting on the beam. Then, the reactions at the beam's fixed end are calculated using equilibrium equations. The vertical reaction is a combination of the distributed and point loads, while the moment reaction is the sum of their moments. The shear force distribution along the beam, resulting from these loads, is established by...
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Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
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Twisted sinc-correlation Schell-model array beams.

Yujie Zhou, Miaomiao Tang, Hehe Li

    Optics Express
    |September 15, 2023
    PubMed
    Summary
    This summary is machine-generated.

    We developed novel twisted sinc-correlation partially coherent array sources. These sources exhibit controllable twisting and splitting phenomena, useful for optical communication and particle manipulation.

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    Area of Science:

    • Optics and Photonics
    • Quantum Optics

    Background:

    • Partially coherent light sources are crucial for various optical applications.
    • Understanding the propagation dynamics of complex light fields is essential.

    Purpose of the Study:

    • To introduce and analyze a new class of twisted sinc-correlation partially coherent array sources.
    • To investigate the propagation characteristics and spatial evolution of these novel light fields.

    Main Methods:

    • Applying the construction theory of correlation functions to design the sources.
    • Analyzing the spectral density and intensity distribution during free-space propagation.
    • Investigating spatial evolution of correlation singularities and coherence orbital angular momentum.

    Main Results:

    • The novel focused beam exhibits significant twisted effects and splitting phenomena.
    • Source parameters allow flexible control over array dimension, intensity, and lobe distribution.
    • Multiple correlation singularities show a rotational spiral windmill profile during propagation.
    • Coherence orbital angular momentum of the twisted source beam is characterized.

    Conclusions:

    • The developed twisted sinc-correlation partially coherent array sources offer tunable optical properties.
    • These sources demonstrate potential for applications in particle manipulation and free-space optical communication.