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Related Concept Videos

Deformations in a Symmetric Member in Bending01:18

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...
Bending of Curved Members - Strain Analysis01:14

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 Surface01:16

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.
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Unsymmetric Bending - Angle of Neutral Axis01:15

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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...
Unsymmetric Bending01:18

Unsymmetric Bending

Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The orientation of the...
Bending and Torsional Moments01:20

Bending and Torsional Moments

Bending and torsional moments are two fundamental concepts in structural engineering. They play an important role in understanding the behavior of materials and structures under different loading conditions.
The reaction developed in a structural element when subjected to an external force causes the element to bend. When a structural element bends upwards, it creates compressive normal forces on the top and tensile normal forces on the bottom, resulting in a couple that determines the bending...

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Force System with Vertical V-Bends: A 3D In Vitro Assessment of Elastic and Rigid Rectangular Archwires
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Curvature versus v-bends in a group B titanium T-loop spring.

Renato Parsekian Martins1, Peter H Buschang, Rodrigo Viecilli

  • 1Faculdade de Odontologia de Araraquara, UNESP, Araraquara, São Paulo, Brazil. dr_renatopmartins@hotmail.com

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Summary

Titanium T-loop springs (TTLSs) preactivated by curvature generate lower horizontal forces and higher moment-to-force ratios than V-bends. Both TTLS designs offer symmetrical moments for anchorage applications.

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Area of Science:

  • Orthodontics
  • Biomaterials Science
  • Mechanical Engineering

Background:

  • Titanium T-loop springs (TTLSs) are utilized in orthodontics for controlled tooth movement.
  • Understanding the force systems of different preactivation methods is crucial for optimizing treatment outcomes.
  • Titanium molybdenum alloy (TMA) wire is a common material for orthodontic appliances due to its properties.

Purpose of the Study:

  • To compare the force systems of curvature-preactivated and V-bend-preactivated TTLSs.
  • To analyze the horizontal and vertical forces, as well as moment-to-force (MF) ratios, generated by these TTLS designs.
  • To evaluate the suitability of these TTLS configurations for orthodontic anchorage.

Main Methods:

  • TTLSs made of 0.017 x 0.025-inch TMA wire were designed using LOOP software.
  • Curvature and V-bend preactivation methods were employed.
  • Loops were activated by 7 mm, with forces and moments recorded during 0.5 mm deactivation increments.
  • Standardized bracket height (23 mm) and angulation (0 degrees) were maintained.

Main Results:

  • Curvature-preactivated TTLSs produced horizontal forces from 34–456 gF; V-bend TTLSs produced 54–517 gF.
  • The preactivated V-bend TTLS showed slightly greater force decrease (33 gF) per activation step compared to the curvature TTLS (30 gF).
  • Moment-to-force (MF) ratios were consistently higher for curvature-preactivated TTLSs (5.8–38.8 mm) than for V-bend TTLSs (4.7–28.3 mm).

Conclusions:

  • Both curvature and V-bend preactivated TTLSs exhibit symmetrical moments, suitable for group B anchorage.
  • Curvature-preactivated TTLSs deliver lower horizontal forces and higher MF ratios compared to V-bend preactivated TTLSs.
  • The choice between curvature and V-bend preactivation depends on the desired force system and anchorage control in orthodontic treatment.