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Related Concept Videos

Beams01:30

Beams

1.9K
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...
1.9K
Deflection of a Beam01:19

Deflection of a Beam

756
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...
756
Prismatic Beams: Problem Solving01:15

Prismatic Beams: Problem Solving

482
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...
482
Principal Stresses in a Beam01:11

Principal Stresses in a Beam

762
In prismatic beams subject to arbitrary transverse loading, It is essential to analyze the interaction between shear forces and bending moments in order to understand stress distribution and ensure structural integrity. The highest normal or bending stress occurs at the outer fibers of the beam, decreasing linearly to zero at the neutral axis. In contrast, shear stress peaks at the neutral axis and diminishes toward the outer surfaces.
Analyzing principal stresses is crucial, especially in...
762
Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

436
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...
436
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

450
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...
450

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Related Experiment Video

Updated: Feb 15, 2026

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

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Probing beam coherence via terahertz metasurface.

Manish Kala, Lavi Kumar Vaswani, Anuraj Panwar

    Optics Letters
    |February 13, 2026
    PubMed
    Summary

    This study introduces a terahertz metasurface to measure spatial coherence in terahertz beams. The metasurface shows potential for applications in imaging and optical communications.

    Area of Science:

    • Optics and Photonics
    • Metamaterials
    • Terahertz Technology

    Background:

    • Terahertz (THz) metaoptics is rapidly advancing.
    • Simulating metasurface responses under incoherent illumination is complex.
    • Probing spatial coherence of THz beams is crucial for various applications.

    Purpose of the Study:

    • To investigate a metasurface for probing the spatial coherence of incident THz beams.
    • To address challenges in simulating and experimenting with incoherent THz illumination.
    • To explore potential applications of the designed metasurface.

    Main Methods:

    • Utilized an angular spectrum averaging technique based on the Van Cittert-Zernike theorem.
    • Related the wavevector distribution of the incident beam to spatial coherence width.

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    Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
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  • Experimental measurements were conducted and compared with simulation results.

    • Main Results:

    • Experimental measurements showed good agreement with simulation results.
    • Demonstrated that the metasurface transmission dip depth increases as spatial coherence width decreases.
    • A metasurface-based spatial low-pass filter was discussed.

    Conclusions:

    • The designed THz metasurface can effectively probe spatial coherence.
    • The metasurface exhibits potential for THz imaging and spatial filtering.
    • Applications include improving signal-to-noise ratio in optical communication.