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Shear Stress in a Tapering Beam

Shear Stress in a Tapering Beam IN the course of stressing certain front cross members of an engine mounting it was found necessary to determine the shear'stress on various sections of the cross members as accurately as possible. These cross members were by no means of uniform crosssection, so that it was considered desirable to investigate, a formula which would give shear stress in a tapered beam. The classical methods evolved by Messrs. Coker and Filon in their Treatise on Photoelasticity and by Mr. Atkin in AIRCRAFT ENGINEERING, Vol. X, November and December, 1938, pp. 347351 and 371374 were found to be too elaborate. In September, 1942, Messrs. Pugsley and Weatherhead contributed an article entitled The Shear Stresses in Tapered Beams, to the Journal of the Royal Aeronautical Society. These authors start with a standard expression for shear stress based on the equilibrium of a portion of a beam and apply it to the solution of some examples. In the course of my investigations, it has been found possible to extend the engineering analysis of shear stress in beams of uniform section to beams of variable crosssection. The expression for the determination of shear stress thus arrived at is very convenient and quite suitable for graphical methods. However, in the case of symmetrically tapering beams, an approximate formula has been developed for the shear stress in terms of shear force, bending moment, taper angle and section inertia and this formula is much more convenient and simple to apply than the standard expression used by Messrs. Pugsley and Weatherhead. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Aircraft Engineering and Aerospace Technology Emerald Publishing

Shear Stress in a Tapering Beam

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Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0002-2667
DOI
10.1108/eb031096
Publisher site
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Abstract

IN the course of stressing certain front cross members of an engine mounting it was found necessary to determine the shear'stress on various sections of the cross members as accurately as possible. These cross members were by no means of uniform crosssection, so that it was considered desirable to investigate, a formula which would give shear stress in a tapered beam. The classical methods evolved by Messrs. Coker and Filon in their Treatise on Photoelasticity and by Mr. Atkin in AIRCRAFT ENGINEERING, Vol. X, November and December, 1938, pp. 347351 and 371374 were found to be too elaborate. In September, 1942, Messrs. Pugsley and Weatherhead contributed an article entitled The Shear Stresses in Tapered Beams, to the Journal of the Royal Aeronautical Society. These authors start with a standard expression for shear stress based on the equilibrium of a portion of a beam and apply it to the solution of some examples. In the course of my investigations, it has been found possible to extend the engineering analysis of shear stress in beams of uniform section to beams of variable crosssection. The expression for the determination of shear stress thus arrived at is very convenient and quite suitable for graphical methods. However, in the case of symmetrically tapering beams, an approximate formula has been developed for the shear stress in terms of shear force, bending moment, taper angle and section inertia and this formula is much more convenient and simple to apply than the standard expression used by Messrs. Pugsley and Weatherhead.

Journal

Aircraft Engineering and Aerospace Technology – Emerald Publishing

Published: Feb 1, 1944

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