Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Torsion of Noncircular Members01:16

Torsion of Noncircular Members

862
Circular shafts undergoing torsional stress maintain their cross-sectional integrity due to their axisymmetric nature. This symmetry ensures an even distribution of stress, allowing the shaft to withstand torsion without distorting. In contrast, square bars, lacking this axial symmetry, experience significant distortion across their cross-sections when subjected to torsion, with the exception of along their diagonals and at lines connecting midpoints. A detailed examination of a cubic element...
862
Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

705
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...
705
Deformation in a Circular Shaft01:10

Deformation in a Circular Shaft

1.1K
One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...
1.1K
Torsional Pendulum01:09

Torsional Pendulum

8.1K
A torsional pendulum involves the oscillation of a rigid body in which the restoring force is provided by the torsion in the string from which the rigid body is suspended. Ideally, the string should be massless; practically, its mass is much smaller than the rigid body's mass and is neglected.
As long as the rigid body's angular displacement is small, its oscillation can be modeled as a linear angular oscillation. The amplitude of the oscillation is an angle. The role of mass is played...
8.1K
Stress Concentrations in Circular Shafts01:18

Stress Concentrations in Circular Shafts

700
Consider the elastic torsion formula, which applies to a circular shaft with a consistent cross-section. This formula assumes that the shaft's ends are loaded with rigid plates firmly attached. However, in many cases, torques are applied to the shaft through mechanisms like flange couplings or gears, which are connected by keys inserted into keyways. This application method modifies the stress distribution near the point of torque application, causing it to deviate from the distributions...
700
Angle of Twist - Elastic Range01:13

Angle of Twist - Elastic Range

955
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...
955

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Harnessing cosmic carbon: anaerobic microbial responses to fullerenes under early Earth conditions.

Frontiers in microbiology·2025
Same author

Robust estimation of the intrinsic dimension of data sets with quantum cognition machine learning.

Scientific reports·2025
Same author

Improved detection of methylation in ancient DNA.

Genome biology·2024
Same author

Publisher Correction: Population genomics of post-glacial western Eurasia.

Nature·2024
Same author

Population genomics of post-glacial western Eurasia.

Nature·2024
Same author

Signatures of Supersymmetry in the ν=5/2 Fractional Quantum Hall Effect.

Physical review letters·2023

Related Experiment Video

Updated: Apr 18, 2026

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel
10:03

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel

Published on: October 5, 2018

8.7K

Thermal Hall effect and geometry with torsion.

Andrey Gromov1, Alexander G Abanov2

  • 1Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA.

Physical Review Letters
|January 24, 2015
PubMed
Summary

This study introduces a geometric framework for analyzing momentum and energy transport in nonrelativistic systems by coupling them to Newton-Cartan geometry. The new approach clarifies geometric meanings and derives thermodynamic relations.

More Related Videos

Pool-Boiling Heat-Transfer Enhancement on Cylindrical Surfaces with Hybrid Wettable Patterns
07:32

Pool-Boiling Heat-Transfer Enhancement on Cylindrical Surfaces with Hybrid Wettable Patterns

Published on: April 10, 2017

9.5K
Magnetic Tweezers for the Measurement of Twist and Torque
11:41

Magnetic Tweezers for the Measurement of Twist and Torque

Published on: May 19, 2014

24.1K

Related Experiment Videos

Last Updated: Apr 18, 2026

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel
10:03

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel

Published on: October 5, 2018

8.7K
Pool-Boiling Heat-Transfer Enhancement on Cylindrical Surfaces with Hybrid Wettable Patterns
07:32

Pool-Boiling Heat-Transfer Enhancement on Cylindrical Surfaces with Hybrid Wettable Patterns

Published on: April 10, 2017

9.5K
Magnetic Tweezers for the Measurement of Twist and Torque
11:41

Magnetic Tweezers for the Measurement of Twist and Torque

Published on: May 19, 2014

24.1K

Area of Science:

  • Theoretical physics
  • Geometric mechanics
  • Condensed matter theory

Background:

  • Studying transport phenomena in nonrelativistic systems is crucial for understanding material properties.
  • Existing formulations, like Luttinger's, provide a basis for thermal transport analysis.
  • A unified geometric approach can offer deeper insights into energy and momentum dynamics.

Purpose of the Study:

  • To develop a novel geometric framework for studying momentum and energy transport in nonrelativistic systems.
  • To generalize Luttinger's formulation of thermal transport using geometric principles.
  • To clarify the geometric interpretation of fields conjugate to energy and energy currents.

Main Methods:

  • Coupling nonrelativistic systems to Newton-Cartan (NC) geometry with torsion.
  • Generalizing Luttinger's transport formulation within this geometric framework.
  • Utilizing the developed formalism to construct equilibrium partition functions.

Main Results:

  • A geometric framework for nonrelativistic transport phenomena is formulated.
  • The geometric meaning of fields conjugate to energy and energy current is clarified.
  • The framework reveals these fields correspond to backgrounds with nonvanishing temporal torsion.

Conclusions:

  • The developed geometric framework provides a powerful tool for analyzing nonrelativistic transport.
  • This approach offers a deeper understanding of the interplay between geometry and transport phenomena.
  • The formalism enables the derivation of thermodynamic relations from first principles.