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Related Concept Videos

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 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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Shear on the Horizontal Face of a Beam Element01:16

Shear on the Horizontal Face of a Beam Element

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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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Generating Electromagnetic Radiations01:10

Generating Electromagnetic Radiations

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The German physicist Heinrich Hertz (1857–1894) was the first to generate and detect certain types of electromagnetic waves in the laboratory. Starting in 1887, he performed a series of experiments that confirmed the existence of electromagnetic waves and verified that they travel at the speed of light. Hertz used an alternating-current RLC (resistor-inductor-capacitor) circuit that resonated at a known frequency and connected it to a loop of wire. High voltages induced across the gap in...
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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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Impact Loading on a Cantilever Beam

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Related Experiment Video

Updated: Apr 25, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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Generation of attenuation-compensating Airy beams.

Miguel A Preciado, Kishan Dholakia, Michael Mazilu

    Optics Letters
    |August 15, 2014
    PubMed
    Summary

    We demonstrate an adjustable "nondiffracting" Airy beam that can increase or decrease in intensity. This controlled light beam propagation was verified experimentally in air and absorbing materials.

    Area of Science:

    • Optics and Photonics
    • Beam Propagation Physics

    Background:

    • Airy beams are known for their unique nondiffracting and self-healing properties.
    • Controlling the intensity profile of light beams during propagation is crucial for various applications.

    Purpose of the Study:

    • To introduce and experimentally validate an attenuation-corrected Airy beam with adjustable intensity modulation.
    • To demonstrate precise control over beam intensity decay or growth over a finite propagation distance.

    Main Methods:

    • Utilizing a digital micromirror device (DMD) to precisely shape both the amplitude and phase of the light beam.
    • Implementing an attenuation correction factor to tailor the beam's intensity profile.
    • Experimentally propagating the engineered beams through free space (air) and partially absorbing media.

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    Last Updated: Apr 25, 2026

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    Main Results:

    • Successfully generated an Airy beam with an adjustable exponential intensity increase or decrease.
    • Verified the controlled intensity modulation of the beam during propagation in different media.
    • Demonstrated the robustness of the engineered beam in partially absorbing environments.

    Conclusions:

    • The developed attenuation-corrected Airy beam offers a novel method for controlling light intensity during propagation.
    • This technology has potential applications in areas requiring tailored light delivery, such as optical trapping and material processing.