PSI - Issue 81

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ScienceDirect

Procedia Structural Integrity 81 (2026) 276–281

VIII International Conference “In -service Damage of Materials: Diagnostics and Prediction “ (DMDP 2025) Performance of a rafter arch considering vertical displacement of the tie

Volodymyr Romaniuk a , Volodymyr Supruniuk a , Leonid Bezniuk a , Yuriy Ziatiuk a , Oleksandr Kononchuk b , Andrii Sorochak b , * a National University of Water and Environmental Engineering, Soborna, 11, 33000, Rivne, Ukraine b Ternopil Ivan Puluj National Technical University, Ruska 56, 46001, Ternopil, Ukraine

© 2026 The Authors. Copy from the contract: 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) The article presents the results of a theoretical and experimental study of the influence of arch tie eccentricity on the redistribution of stresses in the design cross-sections of its chords. The stress state analysis of the perforated compression-bent arch was carried out by comparing theoretical and experimental stresses in its characteristic cross-sections near the support nodes, tie rod attachment nodes, apex node, and points of application of concentrated forces. Theoretical stresses were calculated using the design standards method, and experimental stresses were measured using strain gauge equipment. Comparison of stresses in characteristic sections was carried out under the action of the calculated external load with the tie rod placed in the following positions: at zero, i.e., without displacement; raised by 50 mm; and lowered by 50, 100, and 150 mm, respectively. Abstract The performance of steel structures is significantly influenced by the behavior of their nodal connections, namely the compliance of rigid nodes and the de-centering of hinged nodes. The study of the stress-strain state of steel structures is not fully reflected in the literature, particularly regarding the influence of actual nodal behavior. De-centering of hinge joints allows additional internal forces to be introduced in them, the primary one being the bending moment. As a result, this changes the structural scheme and allows stress redistribution from the most stressed cross-sections to the less stressed ones. This is especially true for span structures of buildings for various purposes, in which significant forces and deformations occur in the design cross-sections of individual elements, for example, in span sections or at the points of attachment of intermediate supports. In general, the essence of the de-centering method is that due to the displacement of individual elements, there is stress redistribution both in these elements and in the structure as a whole. An example is a steel arch structure in which a tie rod is attached to the hinged supports and can be fixed at different levels by moving it vertically up or down. Such displacement allows the nodes to be de-centered and creates a bending moment that unloads or loads certain critical sections, and, as a result, maintains the elastic condition of the main structural elements. The study of the influence and effective value of eccentricity on the stress-strain state of elements is important for the further design of such structures.

Peer-review under responsibility of DMDP 2025 organizers Keywords : arch; perforated element; stress-strain state; tie rod; chord.

1. Introduction The efficiency of building structure utilization is not least related to material costs, and the ways to solve the problem of metal savings in steel structures are quite diverse. While current approaches include material concentration in load-bearing systems,

* Corresponding author. Tel.: +38-096-648-9743; fax: +38-035-225-4983. E-mail address: a_sorochak@tntu.edu.ua

2452-3216 © 2026 The Authors. Copy from the contract: 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 DMDP 2025 organizers 10.1016/j.prostr.2026.03.048