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

Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

244
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...
244
Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

291
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...
291
Elastic Curve from the Load Distribution01:16

Elastic Curve from the Load Distribution

332
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. Initially, this...
332
Deflection of a Beam01:19

Deflection of a Beam

457
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...
457
Method of Superposition01:20

Method of Superposition

1.4K
The method of superposition is a crucial technique in structural engineering, used to analyze the effect of multiple loads on beams. This approach involves calculating the deflection and slope for each load on a beam separately, and then summing these effects to determine the overall impact. It is applicable only when the beam material remains within its elastic limit, ensuring that deformations are linearly elastic.
When applying the method of superposition, each type of load—whether...
1.4K
Distributed Loads: Problem Solving01:21

Distributed Loads: Problem Solving

884
Beams are structural elements commonly employed in engineering applications requiring different load-carrying capacities. The first step in analyzing a beam under a distributed load is to simplify the problem by dividing the load into smaller regions, which allows one to consider each region separately and calculate the magnitude of the equivalent resultant load acting on each portion of the beam. The magnitude of the equivalent resultant load for each region can be determined by calculating...
884

You might also read

Related Articles

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

Sort by
Same author

Contribution of Interleukin-22 Binding Protein to the Development of Allergen-Induced Airway Hyperresponsiveness.

International journal of molecular sciences·2026
Same author

Skeletal muscle-specific deficiency of Rab geranylgeranyl transferase beta subunit induces myopathy and exacerbates the symptoms caused by HMG-CoA reductase deficiency in mice.

Molecular metabolism·2026
Same author

Host Genetics, Diet, and the Gut Microbiome: Addressing Methodological and Reproducibility Challenges in Human Studies.

The Journal of nutrition·2026
Same author

Visualization of Swirling Flow in a 3-dimensional Helical Stent Model using Color-coded Circulation and 4-dimensional Flow Magnetic Resonance Imaging.

Interventional radiology (Higashimatsuyama-shi (Japan)·2026
Same author

Digitally directed beams for three-dimensional surface reconstruction using a dynamical filter.

Applied optics·2026
Same author

Gut microbiota diversity in patients with ESCC: associations with esophagectomy, the tumor immune microenvironment, and nivolumab response.

Esophagus : official journal of the Japan Esophageal Society·2026

Related Experiment Video

Updated: Nov 10, 2025

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
08:44

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

7.9K

Multi-distance surface-emitting beam profile calculation method based on the FDTD method and the diffraction theory.

Hiroshi Ohno, Rei Hashimoto, Kei Kaneko

    Optics Express
    |April 6, 2021
    PubMed
    Summary

    A new hybrid method combines finite-domain time-difference (FDTD) and diffraction theory to accurately predict photonic crystal (PhC) beam profiles. This approach efficiently calculates near-, mid-, and far-fields for surface-emitting devices.

    More Related Videos

    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

    6.5K
    Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels
    11:34

    Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

    Published on: September 8, 2016

    10.5K

    Related Experiment Videos

    Last Updated: Nov 10, 2025

    Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
    08:44

    Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

    Published on: August 22, 2017

    7.9K
    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

    6.5K
    Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels
    11:34

    Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

    Published on: September 8, 2016

    10.5K

    Area of Science:

    • Optics and Photonics
    • Computational Electromagnetics

    Background:

    • Photonic crystals (PhCs) enable precise control of light emission.
    • Calculating beam profiles at multiple distances, especially far-fields, presents computational challenges for traditional methods like finite-domain time-difference (FDTD).

    Purpose of the Study:

    • To propose and validate a hybrid computational method for determining multi-distance beam profiles emitted from photonic crystals.
    • To overcome the limitations of FDTD in calculating mid- and far-fields.

    Main Methods:

    • A hybrid approach integrating the finite-domain time-difference (FDTD) method with diffraction theory.
    • FDTD is used to compute the near-field emission from the photonic crystal.
    • Diffraction theory is applied to the FDTD-calculated near-field to derive mid- and far-field beam profiles.

    Main Results:

    • The hybrid method successfully calculates multi-distance beam profiles.
    • A fabricated surface-emitting quantum cascade laser (QCL) using a PhC demonstrated the method's validity.
    • Experimental measurements of the QCL's beam profile closely matched the hybrid method's predictions.

    Conclusions:

    • The hybrid FDTD and diffraction theory method is an effective and validated approach for calculating beam profiles of surface-emitting devices.
    • This method offers a computationally efficient solution for determining photonic crystal beam characteristics at various distances.