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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

723
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...
723
Prismatic Beams: Problem Solving01:15

Prismatic Beams: Problem Solving

465
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...
465
Principal Stresses in a Beam01:11

Principal Stresses in a Beam

725
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...
725
Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

413
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...
413
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

433
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...
433

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Related Experiment Video

Updated: Jan 30, 2026

Optical Trapping of Plasmonic Nanoparticles for In Situ Surface-Enhanced Raman Spectroscopy Characterizations
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Optical Trapping of Plasmonic Nanoparticles for In Situ Surface-Enhanced Raman Spectroscopy Characterizations

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Plasmonic Implanted Nanogrooves for Optical Beaming.

Salman Daniel1, Prince Bawuah2

  • 1Institute of Photonics, University of Eastern Finland, P.O. Box 111, FI-80101, Joensuu, Finland. salman.daniel@uef.fi.

Scientific Reports
|January 25, 2019
PubMed
Summary
This summary is machine-generated.

Grooves near a metallic nanoslit enhance light beaming by 1.5 times. Embedding these grooves at the exit side of the slit is crucial for directing surface plasmon polaritons into a focused beam.

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Area of Science:

  • Photonics and Nanotechnology
  • Electromagnetism and Optics

Background:

  • Surface plasmon polaritons (SPPs) are nanoscale electromagnetic waves.
  • SPPs enable modification of optical fields through metallic nanostructures, facilitating phenomena like extraordinary optical transmission and light beaming.

Purpose of the Study:

  • To investigate optical beaming enhancement using semicylinder-shaped grooves around a metallic nanoslit.
  • To analyze the impact of groove placement and geometry on light directionality.

Main Methods:

  • Numerical simulations were employed to study the behavior of Poynting vectors.
  • Analysis focused on the interaction of SPPs with nanogrooves at the nanoslit exit.

Main Results:

  • Embedded semicylinder grooves at the nanoslit exit significantly enhanced light directionality compared to unembedded or grating grooves.
  • The intensity of the output beam was 1.5 times higher with embedded semicylinder grooves.
  • Optimal groove positioning at the slit exit is critical for maximizing the beaming effect.

Conclusions:

  • Nanogrooves, particularly embedded semicylinder shapes at the exit, effectively convert SPPs into directed, freely propagating light.
  • This technique offers a pathway for manipulating light for applications in nano-imaging, sensing, and plasmonic circuits.
  • Aluminum nanostructures provide a viable material platform for these plasmonic devices.