Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Deflection of a Beam01:19

Deflection of a Beam

244
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...
244
Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

184
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...
184
Singularity Functions for Bending Moment01:18

Singularity Functions for Bending Moment

205
Singularity functions simplify the representation of bending moments in beams subjected to discontinuous loading, allowing the use of a single mathematical expression. For a supported beam AB, with uniform loading from its midpoint M to the right side end B, the approach involves conceptual 'cuts' at specific points to determine the bending moment in each segment. By cutting the beam at a point between A and M, the bending moment for the segment before reaching midpoint M is represented...
205
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

113
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...
113
Distribution of Stresses in a Narrow Rectangular Beam01:11

Distribution of Stresses in a Narrow Rectangular Beam

128
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...
128
Elastic Curve from the Load Distribution01:16

Elastic Curve from the Load Distribution

164
The structural behavior of beams under distributed loads is critical for engineering analysis, which focuses on predicting how beams bend and react under such conditions. Different types of beams (e.g., cantilever, supported, or overhanging) behave differently under distributed load conditions.
For all beams, the analysis of the beam's reaction to distributed loads begins by understanding the relationship between a beam's load and the resulting shear forces and bending moments.
164

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Wavelength-dependent evolution of full-field transfer matrices in photonic lanterns.

Optics express·2026
Same author

Spatiotemporal control of ultrafast pulses in multimode optical fibers.

Nature communications·2025
Same author

Tunable hyperspectral filter based on rotated chirped volume Bragg gratings.

Optics letters·2025
Same author

Observation of Boyer-Wolf Gaussian modes.

Nature communications·2024
Same author

The visual benefits of correcting longitudinal and transverse chromatic aberration.

Journal of vision·2023
Same author

Topological protection versus degree of entanglement of two-photon light in photonic topological insulators.

Nature communications·2021
Same journal

Gaussian-modulated continuous-variable quantum key distribution over 60 km fiber using an integrated silicon photonic receiver.

Optics letters·2026
Same journal

E2E-OCT: end-to-end joint learning model using optical coherence tomography images for vocal cord leukoplakia diagnosis.

Optics letters·2026
Same journal

Holographic generation of panoramic 3D scenes by concave ellipsoidal mirror reflection.

Optics letters·2026
Same journal

Dual-pilot phase recovery with pair-wise maximum-ratio combining for coherent PONs.

Optics letters·2026
Same journal

Mapping the whispering gallery modes of a CaF<sub>2</sub> disk resonator with half-tapered fibers to estimate the fundamental mode volume.

Optics letters·2026
Same journal

Quantitative estimation of deep-subwavelength scale via dark-field scattering axial energy concentration decay profiles.

Optics letters·2026
See all related articles

Related Experiment Video

Updated: Jun 13, 2025

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

21.7K

Transition from Ince-Gaussian beams to nondiffractive Mathieu beams.

Swati Bhargava, Konrad Tschernig, David Guacaneme

    Optics Letters
    |September 13, 2024
    PubMed
    Summary
    This summary is machine-generated.

    High-order Ince-Gaussian beams (IGBs) in stable resonators mimic Mathieu beams (MBs), showing nondiffracting and self-healing properties. This offers new methods for generating quasi-nondiffractive MBs, ideal for specific applications.

    More Related Videos

    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

    Published on: January 28, 2019

    9.8K
    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

    6.3K

    Related Experiment Videos

    Last Updated: Jun 13, 2025

    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

    21.7K
    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

    Published on: January 28, 2019

    9.8K
    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

    6.3K

    Area of Science:

    • Physics
    • Optics
    • Laser Physics

    Background:

    • Stable optical resonators support various beam modes.
    • Mathieu beams (MBs) are known for nondiffracting propagation and self-healing.
    • Ince-Gaussian beams (IGBs) are solutions in stable resonators.

    Purpose of the Study:

    • To investigate the propagation characteristics of high-order IGBs in stable resonators.
    • To compare the behavior of IGBs with established nondiffracting beams like MBs.
    • To explore novel methods for generating quasi-nondiffractive MBs using IGBs.

    Main Methods:

    • Theoretical analysis of IGBs in stable resonator conditions.
    • Numerical simulations of beam propagation.
    • Comparison of IGB propagation with MB properties.

    Main Results:

    • High-order IGBs exhibit quasi-nondiffracting propagation similar to MBs.
    • IGBs maintain nondiffractive characteristics within a conical region, even with profile mismatches.
    • New methods for generating quasi-nondiffractive MBs from spherical resonators and Fourier space were identified.

    Conclusions:

    • High-order IGBs offer a practical alternative to exact nondiffracting beams.
    • The findings enable more efficient generation of quasi-nondiffractive beams.
    • IGBs are suitable for applications requiring approximate nondiffracting behavior.