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Related Concept Videos

Angle of Twist - Elastic Range01:13

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Consider a cylindrical shaft with a length denoted by L and a consistent cross-sectional radius referred to as r. This shaft undergoes a torque at the free end. The highest shearing strain within the shaft is directly proportional to the twist angle and the radial distance from the shaft axis. When the shaft behaves elastically, this shearing strain can be articulated using variables such as the applied torque, radial distance, the polar moment of inertia, and the modulus of rigidity. By...
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In materials that exhibit elastic and plastic behavior, known as elastoplastic materials, residual stresses can accumulate when these materials experience plastic deformation. This deformation arises from either high levels of shearing stress or significant strains. Residual stresses are internal stresses that persist within a material after removing the external force causing deformation. This phenomenon is demonstrated when observing the behavior of a shaft under torque; notably, the...
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An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the torque...
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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...
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Thin-walled members with non-symmetrical cross-sections are vital to engineering structures, offering material efficiency and structural integrity. However, unsymmetrical loading on these members leads to complex stress distributions, resulting in simultaneous bending and twisting can cause deformation or structural failure. The interaction between bending and twisting requires detailed analysis to ensure structural resilience.
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Related Experiment Video

Updated: Nov 6, 2025

Magnetic Tweezers for the Measurement of Twist and Torque
11:41

Magnetic Tweezers for the Measurement of Twist and Torque

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Eshelby untwisting.

Xiaodi Zhong1, Hengyu Zhou, Chao Li

  • 1Department of Chemistry and the Molecular Design Institute, New York University, 100 Washington Square East, New York, NY 10003-6688, USA. mdw3@nyu.edu bart.kahr@nyu.edu.

Chemical Communications (Cambridge, England)
|May 7, 2021
PubMed
Summary
This summary is machine-generated.

Eshelby untwisting describes how screw dislocations straighten twisted nanocrystals. Simulations show dislocations can reverse crystal twisting direction, influencing nanorod morphology.

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Area of Science:

  • Materials Science
  • Crystallography
  • Nanotechnology

Background:

  • Benzil nanocrystals exhibit intrinsic twisting due to enantiomorphous crystal structures (P3121 and P3221).
  • Axial screw dislocations can influence crystal configurations, potentially altering their inherent twist.

Purpose of the Study:

  • Introduce and investigate the concept of Eshelby untwisting in nanocrystals.
  • Explore the effect of screw dislocations on the twisting behavior of benzil nanorods.

Main Methods:

  • Utilized in silico force-field simulations of benzil nanorods.
  • Introduced both right- and left-handed screw dislocations into the nanorod models.
  • Analyzed the resulting structural changes and twisting dynamics.

Main Results:

  • Dislocations with negative Burgers vectors enhanced existing twist in P3221 enantiomorphs.
  • Dislocations with positive Burgers vectors induced untwisting, reversing the helical sense.
  • Dynamic simulations showed complete reversal of twist, forming opposite-sense helicoids.

Conclusions:

  • Screw dislocations can actively control and even reverse the intrinsic twist of nanocrystals.
  • Eshelby untwisting offers a mechanism influencing the non-polyhedral morphologies of small crystals.