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Related Concept Videos

Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

362
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...
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Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

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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...
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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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Singularity Functions for Bending Moment01:18

Singularity Functions for Bending Moment

476
Singularity functions simplify the representation of bending moments in beams subjected to discontinuous loading, allowing the use of a single mathematical expression. For a supported beam AB, with uniform loading from its midpoint M to the right side end B, the approach involves conceptual 'cuts' at specific points to determine the bending moment in each segment. By cutting the beam at a point between A and M, the bending moment for the segment before reaching midpoint M is represented using a...
476
Design of Prismatic Beams for Bending01:23

Design of Prismatic Beams for Bending

572
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...
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Maximum Deflection01:13

Maximum Deflection

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When analyzing beams under unsymmetrical loads, such as a train moving on a bridge, it is crucial to accurately determine the points of maximum stress and deflection. The process involves identifying the maximum deflection of the beam, which may not always occur at its midpoint due to the uneven distribution of the load.
The maximum deflection occurs at a specific point, known as point O, where the tangent to the deflection curve is horizontal. To find point O, the slope of the tangent at any...
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Objective function based ranking method for selection of optimal beam angles in IMRT.

Natarajan Ramar1, S R Meher2, Vaitheeswaran Ranganathan3

  • 1Philips Health Systems, Philips India Ltd, Bangalore, India; Department of Physics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, India.

Physica Medica : PM : an International Journal Devoted to the Applications of Physics to Medicine and Biology : Official Journal of the Italian Association of Biomedical Physics (AIFB)
|December 10, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces a new method for selecting optimal beam angles in Intensity Modulated Radiation Therapy (IMRT), significantly improving plan quality and reducing organ-at-risk doses. The approach enhances radiation therapy by optimizing gantry angles for better patient outcomes.

Keywords:
BAOBeam anglesIMRTObjective function

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Area of Science:

  • Medical Physics
  • Radiation Oncology
  • Computational Biology

Background:

  • Intensity Modulated Radiation Therapy (IMRT) is a cornerstone of modern cancer treatment, delivering precise radiation doses.
  • Optimal selection of beam angles in IMRT is crucial for maximizing tumor coverage while minimizing dose to surrounding healthy tissues.
  • Current methods for beam angle selection can be suboptimal, potentially leading to increased toxicity and reduced treatment efficacy.

Purpose of the Study:

  • To develop and validate a novel, objective function-based method for selecting optimal beam angles in IMRT.
  • To improve the quality of IMRT plans by reducing the dose to organs at risk (OARs) while maintaining target coverage.
  • To assess the efficiency and clinical applicability of the proposed beam angle optimization method.

Main Methods:

  • A novel metric, the "target-to-critical organ objective function ratio," was developed to rank and select optimal gantry angles.
  • The Pinnacle Treatment Planning System (TPS) was used for IMRT optimization.
  • The method was validated across four clinical sites: Head and Neck, Lung, Abdomen, and Prostate, comparing "Equal Angle" (EA) plans with "Suitable Angle" (SA) plans.

Main Results:

  • Suitable Angle (SA) plans demonstrated a reduction in OAR mean dose by 3-16% and OAR max dose by 3-15% compared to Equal Angle (EA) plans.
  • Target coverage was maintained equally between SA and EA plans across all clinical cases.
  • The algorithm efficiently determined optimal beam angles within 15-25 minutes.

Conclusions:

  • The proposed method for optimal beam angle selection in IMRT significantly improves plan quality.
  • This approach leads to substantial reductions in OAR doses, enhancing patient safety and treatment outcomes.
  • The method is computationally efficient and clinically applicable for various treatment sites.