Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Approximate Calculation of the Inclination Angle of Beams with Variable Cross Sections

Version 1 : Received: 5 August 2021 / Approved: 6 August 2021 / Online: 6 August 2021 (13:43:05 CEST)
Version 2 : Received: 11 August 2021 / Approved: 12 August 2021 / Online: 12 August 2021 (18:45:35 CEST)

How to cite: Biró, I. Approximate Calculation of the Inclination Angle of Beams with Variable Cross Sections. Preprints 2021, 2021080165 (doi: 10.20944/preprints202108.0165.v1). Biró, I. Approximate Calculation of the Inclination Angle of Beams with Variable Cross Sections. Preprints 2021, 2021080165 (doi: 10.20944/preprints202108.0165.v1).

Abstract

In this paper a new approximate procedure is developed for calculating the inclination angle of the end points of statically determinate beams. The method is based on the topology comparison of simple (hinge-roller combination) supported beam and a resemblant cantilever beam. Assuming that the support reactions of the beam are active forces, the virtual displacements at the points of the reaction forces are calculated. Based on these values the inclination angle is calculated. Several examples are considered and the suggested in this paper, while the procedure is applied for various types of structures and loadings. The results, obtained by the suggested numerical procedure, are compared with analytical ones, and they are in good agreement.

Keywords

elastic curve; simply supported beams of variable cross section; initial guess for slope and deflection

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