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Related Concept Videos

Eccentric Axial Loading in a Plane of Symmetry01:16

Eccentric Axial Loading in a Plane of Symmetry

Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.
Flexural Stress01:16

Flexural Stress

When analyzing bending in symmetric members, it's crucial to understand how stresses distribute when subjected to bending moments. This stress distribution is effectively described by applying fundamental mechanics and material science principles, particularly Hooke's Law for elastic materials.
Hooke's Law states that within the material's elastic limits, stress is directly proportional to strain. In a member experiencing a bending moment, the strain at any point is relative to its distance...
General Case of Eccentric Axial Loading01:12

General Case of Eccentric Axial Loading

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 symmetrical bending, which are essential for designing structures to withstand different loading conditions.
Consider a member subjected to equal and opposite forces that are applied along a line that does not coincide with the member's neutral axis. In unsymmetrical bending,...
Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution of...
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
Normal Strain under Axial Loading01:20

Normal Strain under Axial Loading

Normal strain under axial loading is an important concept in the field of mechanics of materials. Axial loading implies the application of a force along the axis of a material, like a column or bar. This force can either compress or stretch the material. In the context of axial loading, normal strain is the deformation experienced by the material in the direction of the loading force. It's calculated as the change in length divided by the original length of the material. This unitless ratio...

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Related Experiment Video

Updated: May 26, 2026

Force System with Vertical V-Bends: A 3D In Vitro Assessment of Elastic and Rigid Rectangular Archwires
08:46

Force System with Vertical V-Bends: A 3D In Vitro Assessment of Elastic and Rigid Rectangular Archwires

Published on: July 24, 2018

Apical force distribution due to orthodontic forces: a finite element study.

Anirudh K Mathur1, Vikas Gupta, Anirban Sarmah

  • 1Department of Orthodontics, HKDET Dental College, Humnabad, Karnataka, India. dranirudhkm@yahoo.co.in

The Journal of Contemporary Dental Practice
|December 22, 2011
PubMed
Summary

Orthodontic forces like intrusion, extrusion, and rotation concentrate stress on the root apex. Clinicians should use caution with these forces to avoid apical stress during treatment.

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Last Updated: May 26, 2026

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08:46

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10:50

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07:16

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Area of Science:

  • Biomechanical analysis of dental structures.
  • Finite element modeling in orthodontics.

Background:

  • Understanding stress distribution in the periodontal ligament (PDL) is crucial for orthodontic treatment planning.
  • The root apex is particularly sensitive to excessive forces.

Purpose of the Study:

  • To calculate stress distribution in the PDL under various orthodontic forces.
  • To determine the specific effects of different force types on the root apex.

Main Methods:

  • A 3D finite element model of a maxillary central incisor, PDL, and alveolar bone was created.
  • Five orthodontic force types (tipping, bodily movement, intrusion, extrusion, rotation) were simulated.
  • Initial stress and displacement within the PDL were analyzed using ANSYS software.

Main Results:

  • Intrusion, extrusion, and rotation generated the highest stress at the root apex.
  • Bodily movement and tipping forces primarily stressed the alveolar crest, not the apex.

Conclusions:

  • Vertical (intrusion, extrusion) and rotational forces warrant caution due to significant apical stress.
  • Orthodontic force selection should consider potential impact on root apex health.