PSI - Issue 59

Andrii Pavluk et al. / Procedia Structural Integrity 59 (2024) 566–574 Andrii Pavluk et al./ Structural Integrity Procedia 00 (2019) 000 – 000

573

8

4)

Find the width of the beam cross-section: √ ( ( ) ) √ ( ( Ǧ Ǧ ( Ǧ ) )

Ǧ )

(28) Taking into account the ratio /

1,5 h b  and the assortment of timber products, the required cross-section of the beam is 10x15 cm. 3. Conclusions As a result of theoretical research, new data on the load-bearing capacity of wood under oblique bending conditions were obtained. Based on these studies, the following conclusions can be drawn: - A methodology for calculating wooden oblique bending beams using the deformation model has been developed, which considers the distribution of stresses in the compressed and tensile zones of the calculated cross section of the beam, including the formation of folds in the compressed zone of pure bending. - The existing standards for calculating wooden beams under oblique bending conditions do not consider the real behaviour of such elements, including the formation of folds in the compressed zone of pure bending. - The maximum bending moment the beam can withstand, determined using the deformation model at an inclination angle of 10 0 is M def. mod 10 =18.72 kNm , and at an inclination angle of 25 0 - M def. mod 25 =17.1 kNm , which differs by 8.2% and 3.3% from experimental data for similar beams at the corresponding inclination angles. - The maximum bending moment that the beam can withstand, determined according to the existing standards (DBN B.2.6-161:2017), at an angle of inclination of 10 становить M DBN 10 =7.53 kNm , and an angle of inclination of 25 - M DBN 25 =7.94 kNm ; - The current standards for wooden structure calculations provide a significant safety margin compared to the calculations based on the deformation model: for an angle of inclination of 10 0 , the margin coefficient is 2.49, and for an angle of inclination of 250, it is 2.15. References DBN B.2.6-161, 2017. Constructions of houses and buildings. Wooden constructions. Main provisions. Kyiv: Ukrarchbudinform. Donadon, B.F., Mascia, N.T., Vilela, R., Trautwein, L.M., 2020. Experimental investigation of Glued-Laminated wood beams with Vectran-FRP reinforcement. Engineering Structures 202, 109818. Dvorkin, L., Bordiuzhenko, O., Zhitkovsky, V., Gomon, S., Homon, S., 2021. Mechanical properties and design of concrete with hybrid steel basalt fiber. E3S Web of Conferences 264, 02030. Eurocode 5, 2004. Design of timber structures. Part 1.1. General rules and rules for buildings, 124. Gomon, P., Gomon, S., Pavluk, A., Homon, S., Chapiuk, O., Melnyk, Yu., 2023. Innovative method for calculating deflections of wooden beams based on the moment-curvature graph. Procedia Structural Integrity 48, 195-200. Gomon, S.S., Gomon, P., Homon, S., Polishchuk, M., Dovbenko, T., Kulakovskyi, L., 2022. Improving the strength of bending elements of glued wood. Procedia Structural Integrity 36, 217-222. Gomon, S., Gomon, P., Korniychuck, O., Homon, S., Dovbenko, T., Kulakovskyi, L., Boyarska, I., 2022. Fundamentals of calculation of elements from solid and glued timber with repeated oblique transverse bending, taking into account the criterion of deformation. Acta Facultatis Xylologiae Zvolen 64(2), 37-47. Gomon, S., Gomon, P., Pavluk, A., Podhorecki, A., 2019. Complete deflections of glued beams in the conditions of oblique bend for the effects of low cycle loads. AIP Conference Proceedings 2077, 020021. Green, D.W., Kretschmann, D.E., 1992. Properties and grading of Southern Pine Woods. Forest Products Journal 47 (9), 78 – 85.