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Upper and lower bounds for the shear stress in the Saint-Venant theory of flexure

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Abstract

Upper and lower bounds are derived for the shear stress as it is determined by Saint-Venant's theory of flexure, and used to establish the asymptotic character of the classical Strength of Materials formula in the limit of vanishing thickness.

Résumé

On dérive des limites supérieures et inférieures des contraintes tangentielles suivant la théorie de la flexion de Saint-Venant, que l'on utilise aux fins d'établir le caractère asymptotique de la formule de la Résistance des Matériaux dans le cas limite d'une épaisseur extrêmement petite.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Houston, 77004, Houston, Texas, USA

    Lewis Wheeler & Cornelius O. Horgan

Authors
  1. Lewis Wheeler
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  2. Cornelius O. Horgan
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Wheeler, L., Horgan, C.O. Upper and lower bounds for the shear stress in the Saint-Venant theory of flexure. J Elasticity 6, 383–403 (1976). https://doi.org/10.1007/BF00040899

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  • DOI: https://doi.org/10.1007/BF00040899

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