A simple and accurate beam theory

DOI10.1007/BF01174627zbMath0667.73039OpenAlexW2318933853MaRDI QIDQ1117747

Zenon Rychter

Publication date: 1988

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01174627

zbMATH Keywords

bendingstress distributionsdisplacementrelative mean square errorextension of Levinson's theoryfourth-order theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10)

Related Items (3)

Improved engineering theory for uniform beams ⋮ A family of shear-deformation beam theories and a refined Bernoulli-Euler theory ⋮ Free vibration of thick isotropic and laminated beams with arbitrary boundary conditions via unified formulation and Ritz method

Cites Work

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• On Bickford's consistent higher order beam theory
• Toward a new engineering theory of bending - Fundamentals
• An Error Estimate for Solutions in Beam Theory
• An improved estimate for the error in the classical, linear theory of plate bending
• A bound on the error in Reissner’s theory of plates
• Approximations in elasticity based on the concept of function space

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