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Related Concept Videos

Bending

Bending

Pure bending is a fundamental concept in structural mechanics, essential for understanding how materials deform under symmetrical loads without direct forces. Pure bending occurs when prismatic members, such as beams, are subjected to equal and opposite moments that induce bending. The phenomenon is crucial as it allows for predicting stress distributions without the influence of axial or shear forces.
In pure bending, the bending stress in a beam is calculated based on the bending moment and...

Bending of Material: Problem Solving

Bending of Material: Problem Solving

In this lesson, determine the ratio of the maximum bending moments applied to two metal pipes, given that both pipes can withstand a maximum stress of 100 MPa. Both pipes have an outer radius of 1.8 cm. Pipe A has an inner radius of 1.5 cm, and Pipe B has an inner radius of 1 cm. The ratio of the maximum bending moment applied to two metallic pipes, each with a different inner and outer radius, is determined by considering their dimensions. The inner radius of the first pipe is 1.5 cm, and for...

Deformations in a Symmetric Member in Bending

Deformations in a Symmetric Member in Bending

When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...

Unsymmetric Bending - Angle of Neutral Axis

Unsymmetric Bending - Angle of Neutral Axis

Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal centroidal axes. The...

Bending of Curved Members - Strain Analysis

Bending of Curved Members - Strain Analysis

The mechanics of deformation in curved members, such as beams or arches, under bending moments, involve complex responses. When such a member, symmetric about the y-axis and shaped like a segment of a circle centered at point C, is subjected to equal and opposite forces, its curvature and surface lengths change significantly. This alteration results in the shift of the curvature's center from C to C', indicating a tighter curve.
The important part of bending analysis for such a member is the...

Bending of Curved Members - Neutral Surface

Bending of Curved Members - Neutral Surface

In curved beams, unlike straight beams, the stress distribution across the cross-section is not uniform due to the beam's curvature. This non-uniformity arises because the neutral axis, where stress is zero, does not align with the centroid of the section. In a curved beam, the strain varies along the section as a function of the distance from the neutral axis.
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within the...

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Related Experiment Video

Updated: Jul 16, 2026

Wet Beveling of Microinjection Needles Utilizing Constant Air Pressure for Feedback on Needle Opening

Wet Beveling of Microinjection Needles Utilizing Constant Air Pressure for Feedback on Needle Opening

Published on: September 27, 2024

A comparison of needle bending models.

Ehsan Dehghan¹, Orcun Goksel, Septimiu E Salcudean

¹Department of Electrical and Computer Engineering, University of British Columbia, Vancouver, Canada. ehsand@ece.ubc.ca

Medical Image Computing and Computer-Assisted Intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention

|March 16, 2007

Summary

The angular spring model most accurately simulates prostate brachytherapy needle bending compared to finite element methods. This simpler model offers superior geometric conformity for needle insertion simulations.

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Related Experiment Videos

Last Updated: Jul 16, 2026

Wet Beveling of Microinjection Needles Utilizing Constant Air Pressure for Feedback on Needle Opening

Wet Beveling of Microinjection Needles Utilizing Constant Air Pressure for Feedback on Needle Opening

Published on: September 27, 2024

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

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Published on: July 19, 2016

Mechanical Manipulation of Neurons to Control Axonal Development

Mechanical Manipulation of Neurons to Control Axonal Development

Published on: April 10, 2011

Area of Science:

Medical physics
Robotics
Biomechanical engineering

Background:

Accurate modeling of flexible needle deflection is crucial for safe and effective prostate brachytherapy.
Current simulation methods, including finite element analysis, face challenges in precisely predicting needle bending.
Optimizing needle insertion path planning requires reliable deflection models.

Purpose of the Study:

To compare the accuracy of three distinct models in simulating the bending of a prostate brachytherapy needle.
To evaluate the geometric conformity of each model against experimental data.
To identify the most effective and simplest model for needle deflection simulation.

Main Methods:

Finite element method (FEM) using geometric non-linearity and triangular plane elements.
FEM utilizing non-linear beam elements.
A novel model employing angular springs to simulate cantilever deflection.
Comparison of simulation results with experimental bent needle configurations.

Main Results:

The angular spring model demonstrated superior accuracy in simulating needle deflection compared to both FEM approaches.
Geometric conformity assessments, using both independent and pre-identified parameters, favored the angular spring model.
The angular spring model, despite its simplicity, provided the most accurate representation of experimental needle bending.

Conclusions:

The angular spring model is the most accurate and simplest method for simulating prostate brachytherapy needle deflection.
This finding has significant implications for improving needle insertion simulation and path planning in clinical applications.
The study recommends the angular spring model for future research and development in robotic-assisted brachytherapy.