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Related Concept Videos

Prismatic Beams: Problem Solving01:15

Prismatic Beams: Problem Solving

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 designer...
Distribution of Stresses in a Narrow Rectangular Beam01:11

Distribution of Stresses in a Narrow Rectangular Beam

In studying beam stress distribution, examining an elemental section is essential. To determine the average shearing stress on this face, the calculated shear is divided by the surface area. Importantly, shearing stresses on the beam's transverse and horizontal planes mirror each other, indicating a consistent stress distribution along the upper region of the beam. Notably, shearing stresses are absent at the beam's upper and lower surfaces due to the absence of applied forces in these areas.
Deflection of a Beam01:19

Deflection of a Beam

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...
Design of Prismatic Beams for Bending01:23

Design of Prismatic Beams for Bending

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 stress...
Beams01:30

Beams

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...
Shearing Stresses in a Beam: Problem Solving01:14

Shearing Stresses in a Beam: Problem Solving

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 creating...

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Related Experiment Video

Updated: Jun 6, 2026

Demonstration of Equal-Intensity Beam Generation by Dielectric Metasurfaces
09:33

Demonstration of Equal-Intensity Beam Generation by Dielectric Metasurfaces

Published on: June 7, 2019

Plate beamsplitter to produce multiple equal-intensity beams.

M M Rajadhyaksha, R H Webb

    Applied Optics
    |November 12, 2010
    PubMed
    Summary

    A novel plate beamsplitter design creates multiple equal-intensity beams by adjusting surface reflectances. This technology enhances confocal scanning microscopes by enabling four-beam multiplexing, quadrupling the effective optical scanning rate.

    Area of Science:

    • Optics and Photonics
    • Microscopy Instrumentation

    Background:

    • Confocal scanning microscopy relies on efficient optical scanning for high imaging rates.
    • Multiplexing techniques can increase scanning speed but require specialized optical components.

    Purpose of the Study:

    • To design a plate beamsplitter capable of generating multiple beams of equal intensity.
    • To apply this beamsplitter in a four-beam multiplexed galvanometric scanner for confocal microscopy.

    Main Methods:

    • Designing a plate beamsplitter with controlled front and back surface reflectances.
    • Integrating the beamsplitter into a galvanometric scanner system for a confocal microscope.

    Main Results:

    • The designed plate beamsplitter successfully produced multiple beams of equal intensity.

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    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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    Last Updated: Jun 6, 2026

    Demonstration of Equal-Intensity Beam Generation by Dielectric Metasurfaces
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    Demonstration of Equal-Intensity Beam Generation by Dielectric Metasurfaces

    Published on: June 7, 2019

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
    12:14

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

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    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
    08:39

    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

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  • The four-beam multiplexed scanner achieved an effective optical scanning rate four times the electromechanical scanning rate.

    • Conclusions:

    • Varying surface reflectances of a plate allows for the creation of equal-intensity multiple beams.
    • This beamsplitter design significantly enhances the performance of confocal scanning microscopes through multiplexing.