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Related Concept Videos

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...
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...
Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

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

Shear on the Horizontal Face of a Beam Element

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 first...
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...
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

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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Related Experiment Video

Updated: Jun 2, 2026

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

Published on: August 12, 2013

Bessel-like beam generation by superposing multiple Airy beams.

Chi-Young Hwang1, Kyoung-Youm Kim, Byoungho Lee

  • 1National Creative Research Center for Active Plasmonics Application Systems Inter-University Semiconductor Research Center, Gwanak-Gu Gwanakro 599, Seoul 151-744, Korea.

Optics Express
|April 20, 2011
PubMed
Summary

Researchers created Bessel-like non-diffracting beams by combining Airy beams. They showed these beams can exhibit vortex power flow through simulations by adjusting initial Airy beam positions.

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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

Related Experiment Videos

Last Updated: Jun 2, 2026

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

Published on: August 12, 2013

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

Area of Science:

  • Optics and Photonics
  • Beam Physics

Background:

  • Non-diffracting beams, such as Bessel beams, are crucial in various optical applications due to their propagation-invariant nature.
  • Airy beams are known for their self-healing and self-accelerating properties.

Purpose of the Study:

  • To introduce a novel method for generating Bessel-like non-diffracting beams.
  • To investigate the control of vortex power flow in these generated beams.

Main Methods:

  • Superposition of multiple Airy beams to construct Bessel-like beams.
  • Numerical simulations to analyze beam propagation dynamics.

Main Results:

  • Successful generation of Bessel-like non-diffracting beams.
  • Demonstration of controllable vortex power flow by manipulating initial Airy beam positions.

Conclusions:

  • The proposed method offers a new route to engineer non-diffracting beams with tailored properties.
  • Controlling Airy beam parameters provides a mechanism to introduce complex optical phenomena like vortex power flow.