PSI - Issue 72

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ScienceDirect

Procedia Structural Integrity 72 (2025) 235–242

12th Annual Conference of Society for Structural Integrity and Life (DIVK12) Horizontal Shear Force in RC Internal Beam-Column Connection at Initiation and Crack Growth from Linearly Distributed Load on a Cantilever Beam Albena Doicheva a, * a Technical Mechanics Department, University of Architecture, Civil Engineering and Geodesy (UACEG), 1 Hr. Smirnenski Blvd., Sofia 1046, Bulgaria Abstract The beam-column connection is a vulnerable element in frame structures under seismic impacts. The shear force in the joint is pointed out as the cause of the destructions that occurred. Research over the last 6 decades has not led to the establishment of a uniform procedure in the various countries codes for the determination of shear strength. One of the reasons is the difficulty in calculating the forces that are transmitted from the beams to the columns. In the current Eurocode 2, the shear force is defined capacitively. In this paper, a mathematical model of the beam is considered, which allows to take into account all dimensions of the beam in height, as well as the material characteristics of the beam. In the present study, a cantilever beam loaded with a linearly distributed load is considered. A solution was performed and the support reactions of the beam along the lateral edge in the height were determined. Results from a selected beam are shown. The shear force was calculated with the exact forces determined with the newly derived formulas. To validate the results, a comparison of the new shear force with that determined by the approximate method recommended in the literature was made. The difference is up to 15%. A comparison was also made with the shear force determined according to Eurocode 2. The difference ranges from -82% to +75%. © 2026 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 Aleksandar Sedmak, Branislav Djordjevic, Simon Sedmak Dr. Simon Sedmak, ssedmak@mas.bg.ac.rs, Innovation Center of Faculty of Mechanical Engineering, Belgrade, Serbia

Keywords: larges deformations; crack on the face of the column; analytical simulation; shear force; linearly distributed load

* Corresponding author. E-mail address: doicheva_fhe@uacg.bg

2452-3216 © 2026 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 Aleksandar Sedmak, Branislav Djordjevic, Simon Sedmak Dr. Simon Sedmak, ssedmak@mas.bg.ac.rs, Innovation Center of Faculty of Mechanical Engineering, Belgrade, Serbia 10.1016/j.prostr.2025.08.098