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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...
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Deflection of a Beam01:19

Deflection of a Beam

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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...
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Prismatic Beams: Problem Solving01:15

Prismatic Beams: Problem Solving

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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...
469
Principal Stresses in a Beam01:11

Principal Stresses in a Beam

728
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...
728
Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

417
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...
417
What is Natural Selection?01:32

What is Natural Selection?

129.0K
Natural selection is an evolutionary process in which individuals with survival-promoting traits reproduce at higher rates. These favorable traits become more common within a population or species. Naturally selected traits initially arise via random genetic mutations. In order for selection to occur, there must be variation within a population, the trait controlling the variation must be heritable, and there must be an evolutionary advantage for variation in the trait.
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Related Experiment Video

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Stereotactic Radiosurgery for Gynecologic Cancer
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Beam selection for stereotactic ablative radiotherapy using Cyberknife with multileaf collimation.

James L Bedford1, Peter Ziegenhein1, Simeon Nill1

  • 1Joint Department of Physics, The Institute of Cancer Research and The Royal Marsden NHS Foundation Trust, London SM2 5PT, UK.

Medical Engineering & Physics
|December 24, 2018
PubMed
Summary

This study optimized Cyberknife radiotherapy by reducing beam orientations for stereotactic ablative body radiotherapy (SABR). A smaller subset of 15 beams maintained treatment quality while significantly cutting treatment time.

Keywords:
Beam-orientation selectionCyberknifeIMRTInverse planningMultileaf collimator

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Area of Science:

  • Radiation Oncology
  • Medical Physics
  • Computer-Aided Treatment Planning

Background:

  • The Cyberknife system facilitates stereotactic ablative body radiotherapy (SABR) using numerous non-coplanar beam orientations.
  • A recently introduced multileaf collimator enhances flexibility in radiation field shaping for improved treatment precision.

Purpose of the Study:

  • To evaluate the treatment plan quality achievable with the multileaf collimator in the Cyberknife system.
  • To identify an optimal subset of beam orientations that preserves treatment quality while reducing overall treatment duration.

Main Methods:

  • An evolutionary algorithm was employed to iteratively refine a randomly selected set of beam orientations.
  • An efficient computational framework was utilized to identify clinically viable solutions within hours.

Main Results:

  • A subset of 15 beam orientations demonstrated treatment quality comparable to the full set of 110 candidate orientations.
  • The reduced beam set achieved approximately a 50% reduction in estimated treatment time.

Conclusions:

  • Selecting an efficient subset of beam orientations can significantly decrease Cyberknife treatment times.
  • Optimizing beam selection enhances patient experience and increases the throughput of radiotherapy services.