Algebraic Formulation for Moderately Thick Elastic Frames, Beams, Trusses, and Grillages within Timoshenko Theory. (4th February 2019)

• Record Type: Journal Article
• Authors: Pełczyński, Jan; Gilewski, Wojciech
• Other Names: Loiseau Jean Jacques Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2019(2019)
• Publication Date: 2019-02-04
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2019/7545473
• Languages: English
• ISSNs: 1024-123X

Abstract

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.