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Related Concept Videos

Design of Prismatic Beams for Bending01:23

Design of Prismatic Beams for Bending

The design of prismatic beams, structural elements with a uniform cross-section, focuses on ensuring safety and structural integrity under load. The design process begins by determining the allowable stress, either from material properties tables, or by dividing the material's ultimate strength by a safety factor. This safety factor is essential for accommodating uncertainties, and varies depending on the material—timber, steel, or concrete—with each having unique strength and stress...
Deformation of a Beam under Transverse Loading01:15

Deformation of a Beam under Transverse Loading

Understanding beam deflection, particularly for indeterminate beams with overhanging segments and multiple concentrated loads, is crucial for ensuring structural integrity and functionality. The process begins with constructing an accurate free-body diagram, which helps identify the forces and moments acting on the beam. This diagram is vital for visualizing how bending moments vary along the beam's length, influencing its curvature.
The insights from the bending moment diagram extend to...
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...
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...
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...
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...

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Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads
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Accelerating regular polygon beams.

Shane Barwick1

  • 1Rocky Mound Engineering, 116 White Pine Court, Macon, Georgia 31216, USA. dsbarwick@cox.net

Optics Letters
|December 18, 2010
PubMed
Summary

Researchers have developed phase-only masks that create multiple light beams with accelerating intensity maxima. These beams follow curved paths, forming expanding regular polygons, offering new applications in optics.

Area of Science:

  • Optics and Photonics
  • Wave Propagation

Background:

  • Beams with high-intensity peaks exhibiting curved propagation paths under linear diffraction have demonstrated significant utility.
  • Understanding and controlling complex beam dynamics is crucial for advanced optical applications.

Purpose of the Study:

  • To derive a family of phase-only masks capable of generating multiple accelerating intensity maxima.
  • To characterize the propagation dynamics of these novel optical beams.

Main Methods:

  • Derivation of phase-only masks designed to control beam propagation.
  • Analysis of the resulting intensity distributions and path trajectories.

Main Results:

  • A novel family of phase-only masks was successfully derived.

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  • Each mask generates multiple accelerating intensity maxima.
  • The curved paths of these maxima are geometrically described by the vertices of an expanding regular polygon centered on the optic axis.
  • Conclusions:

    • The developed phase-only masks provide a method for creating complex, self-accelerating optical beams.
    • The predictable polygonal trajectories of intensity maxima open avenues for new optical manipulation techniques and applications.