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Related Concept Videos

Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

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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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Shearing Stresses in a Beam: Problem Solving01:14

Shearing Stresses in a Beam: Problem Solving

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A cantilever beam with a rectangular cross-section under distributed and point loads experiences shearing stresses. The analysis begins by identifying the loads acting on the beam. Then, the reactions at the beam's fixed end are calculated using equilibrium equations. The vertical reaction is a combination of the distributed and point loads, while the moment reaction is the sum of their moments. The shear force distribution along the beam, resulting from these loads, is established by...
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Deformation of a Beam under Transverse Loading01:15

Deformation of a Beam under Transverse Loading

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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.
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Deflection of a Beam01:19

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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.
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Updated: Sep 16, 2025

Dynamic Lung Tumor Tracking for Stereotactic Ablative Body Radiation Therapy
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Deep-learning-based linac beam modelling with sparse beam data measurements.

Sang Hee Ahn1, Jin Sung Kim2,3, Jihun Kim4

  • 1Department of Radiation Oncology, Samsung Medical Center, Seoul, Republic of Korea.

Physics in Medicine and Biology
|July 4, 2025
PubMed
Summary
This summary is machine-generated.

A new deep-learning model, linac beam modelling network (LBMnet), efficiently predicts radiation therapy beam data. This approach enhances accuracy and saves time compared to traditional measurement methods.

Keywords:
beam profiledeep learninglinac beam modellingpercentage depth dose

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Area of Science:

  • Medical Physics
  • Radiation Oncology
  • Machine Learning

Background:

  • Accurate linac beam modelling is crucial for effective radiation therapy.
  • Traditional methods for beam data acquisition are time-consuming and resource-intensive.

Purpose of the Study:

  • To introduce linac beam modelling network (LBMnet), a deep-learning approach for efficient linac beam modelling.
  • To enhance the accuracy and efficiency of generating percentage depth dose (PDD) and beam profiles for radiation therapy.

Main Methods:

  • Developed LBMnet using an auto-encoder architecture trained on sparse single-field measurements from Elekta Versa HD™ linacs.
  • Employed data augmentation and pseudo-profile input for improved prediction accuracy.
  • Validated predictions against measured beam data and assessed clinical dose distributions using gamma analysis (1%/1 mm and 0.5%/0.5 mm criteria).

Main Results:

  • LBMnet achieved PDD prediction accuracy within ±2% up to 22 cm depth.
  • Profile predictions showed maximum differences within 3% in high-dose regions, with minor deviations in penumbra.
  • Clinical dose distributions demonstrated over 99% and 91% agreement with the 1%/1 mm and 0.5%/0.5 mm criteria, respectively.

Conclusions:

  • LBMnet shows significant potential for improving beam modelling accuracy and efficiency in radiation therapy.
  • The model provides robust predictions even with a limited dataset, offering a reliable, time-saving alternative to conventional methods.