The centre of twist for a prismatic bar under free torsion

Shuguang Li

doi:10.7227/IJMEE.31.3.4

The centre of twist for a prismatic bar under free torsion

Shuguang Li

Research output: Contribution to journal › Article › peer-review

Abstract

This paper presents a proof that the centre of twist for a prismatic bar under torsion coincides with the centroid of the cross-section. The centre of twist has long been regarded as arbitrary, since the consequence of a differently chosen centre of twist amounts only to a rigid-body rotation. However, what has not been properly addressed is that an arbitrarily chosen centre of twist results in an inconsistency in the formulation of conventional torsion theory.

Original language	English
Pages (from-to)	226-232
Number of pages	6
Journal	International Journal of Mechanical Engineering Education
Volume	31
Issue number	3
DOIs	https://doi.org/10.7227/IJMEE.31.3.4
Publication status	Published - Jul 2003

Keywords

Centre of twist
Centroid
Prismatic bar
St Venant problem
Torsion
Warping

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10.7227/IJMEE.31.3.4

Cite this

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title = "The centre of twist for a prismatic bar under free torsion",

abstract = "This paper presents a proof that the centre of twist for a prismatic bar under torsion coincides with the centroid of the cross-section. The centre of twist has long been regarded as arbitrary, since the consequence of a differently chosen centre of twist amounts only to a rigid-body rotation. However, what has not been properly addressed is that an arbitrarily chosen centre of twist results in an inconsistency in the formulation of conventional torsion theory.",

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AB - This paper presents a proof that the centre of twist for a prismatic bar under torsion coincides with the centroid of the cross-section. The centre of twist has long been regarded as arbitrary, since the consequence of a differently chosen centre of twist amounts only to a rigid-body rotation. However, what has not been properly addressed is that an arbitrarily chosen centre of twist results in an inconsistency in the formulation of conventional torsion theory.

KW - Centre of twist

KW - Centroid

KW - Prismatic bar

KW - St Venant problem

KW - Torsion

KW - Warping

U2 - 10.7227/IJMEE.31.3.4

DO - 10.7227/IJMEE.31.3.4

M3 - Article

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SP - 226

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JO - International Journal of Mechanical Engineering Education

JF - International Journal of Mechanical Engineering Education

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ER -

The centre of twist for a prismatic bar under free torsion

Abstract

Keywords

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