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Algebraic Formulation for Moderately Thick Elastic Frames, Beams, Trusses, and Grillages within Timoshenko Theory

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  • Jan Pełczyński
  • Wojciech Gilewski

Abstract

The paper is dedicated to the algebraic formulation of elastic frame equations. The obtained set of equations describe deformations of moderately thick frames made of both compressible and incompressible bars, grillages of rigid or pin-joined connections, and trusses. Plane as well as space structures are presented. The paper is an extension of the article of T. Lewiński written in 2001 related to thin bars. Algebraic equations with diagonal constitutive matrix are original and suitable for various engineering applications and for educational purposes.

Suggested Citation

  • Jan Pełczyński & Wojciech Gilewski, 2019. "Algebraic Formulation for Moderately Thick Elastic Frames, Beams, Trusses, and Grillages within Timoshenko Theory," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-9, February.
    • Handle: RePEc:hin:jnlmpe:7545473
    DOI: 10.1155/2019/7545473
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