PSI - Issue 48

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2021) 000 – 000

www.elsevier.com/locate/procedia

ScienceDirect

Procedia Structural Integrity 48 (2023) 195–200

© 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the IRAS 2023 organizers Abstract A new method for calculating deflections of wooden bending elements taking into account the nonlinearity of material deformation has been developed. A certain sequence for calculating the deflections of such elements is proposed. The options for beam loading to establish the ratio of the maximum moment to the deflection are presented. A theoretical analysis was carried out and the results obtained while modeling the operation of a wooden beam of rectangular cross-section based on Moment Curvature graphs were described in this article. The dependences of the simultaneous achievement of the limit states for the first (in terms of bearing capacity) and the second (in terms of deflections) groups of limit states depending on the ratio of the geometric dimensions of solid and glued wooden beams were established. © 2023 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the conference Guest Editors Keywords: wooden element, stress-strain state, bend, bearing strength, deflection, Moment-Curvature graph. 1. Introduction Wood is one of the most important materials on our planet due to its natural origin (Green and Kretschmann (1992), Da Silva and Kyriakides (2007), Yasniy et al. (2022), Homon et al. (2023)). It is often used in various industries (Bosak et al. (2021)). One of these industries is construction. Wood is used for finishing buildings and structures, as well as load-bearing elements (Nsouami et al. (2022), Zhou et al. (2018), Gomon et al. (2022), Mascia et al. (2018)). Wood can be used in floors, Galicki and Czech (2005), roofs, walls, pile foundations and more. The Second International Symposium on Risk Analysis and Safety of Complex Structures and Components (IRAS 2023) Innovative Method for Calculating Deflections of Wooden Beams Based on the Moment-Curvature Graph Petro Gomon a , Svyatoslav Gomon a , Andrii Pavluk a , Sviatoslav Homon a, *, Oleksandr Chapiuk b , Yuliia Melnyk b a National University of Water and Environmental Engineering, Soborna 11, 33000 Rivne, Ukraine b Lutsk National Technical University, Lvivska 75, 43018 Lutsk, Ukraine, b a

* Corresponding author. Tel.: +380962020907, E-mail address : homonsviatoslav@ukr.net

2452-3216 © 2022 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the conference Guest Editors

2452-3216 © 2023 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the IRAS 2023 organizers 10.1016/j.prostr.2023.07.148

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