Simplified calculation of shear rotations for first-order shear deformation theory in deep bridge beams
| Autor: | José Antonio Lozano Galant, Jose Turmo, Seyyedbehrad Emadi, Haiying Ma |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. EC - Enginyeria de la Construcció |
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: |
Fluid Flow and Transfer Processes
Structural system identification Process Chemistry and Technology Timoshenko’s beam theory General Engineering Inverse analysis Shear rotation Enginyeria civil::Materials i estructures [Àrees temàtiques de la UPC] Computer Science Applications Observers (Control theory) structural system identification observability method shear rotation direct analysis inverse analysis General Materials Science Observability method Instrumentation Direct analysis Observadors (Teoria de control) |
| Zdroj: | Applied Sciences; Volume 13; Issue 5; Pages: 3362 |
| Popis: | Nodal rotations are produced by bending and shear effects and bending rotations can be easily calculated using Euler–Bernoulli’s stiffness matrix method. Nevertheless, shear rotations are traditionally neglected, as their effects are practically negligible in most structures. This assumption might lead to significant errors in the simulation of the rotations in some structures, as well as the wrong identification of the mechanical properties in inverse analysis. Despite its important role, no other works studying the calculation of shear rotations in deep beams were found in the literature. To fill this gap, after illustrating the errors of commercial software regarding calculating the rotations in deep beams, this study proposed a simple and intuitive method to calculate shear rotations in both isostatic and statically redundant beams. The new method calculates the shear rotation for all segments separately and introduces the result to the total rotation of the structure. This method can be applied to find the shear rotation in a redundant structure as well. A parametric study was carried out to calculate slenderness ratios to determine in what structural systems the shear rotations can be neglected. In addition, the errors in the inverse analysis of deep beams were parametrically studied to determine the role of shear rotation in different structural systems. Finally, to validate the application of the method in actual structures, a construction stage of a composite bridge was analyzed. The authors are indebted to the projects PID2021-126405OB-C31 and PID2021-126405OB-C32 funded by FEDER funds—A Way to Make Europe and Spanish Ministry of Economy and Competitiveness MICIN/AEI/10.13039/501100011033/, BIA2017-86811-C2-1-R and BIA2017-86811-C2-2-R funded by FEDER funds. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|