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Structural Engineering and Mechanics Volume 74, Number 2, April25 2020 , pages 189-199 DOI: https://doi.org/10.12989/sem.2020.74.2.189 |
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Bridge-type structures analysis using RMP concept considering shear and bending flexibility |
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Mahmoud-Reza Hosseini-Tabatabaei, Mohmmad Rezaiee-Pajand and Mahmoud R. Mollaeinia
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| Abstract | ||
| Researchers have elaborated several accurate methods to calculate member-end rotations or moments, directly, for bridge-type structures. Recently, the concept of rotation and moment propagation (RMP) has been presented considering bending flexibility, only. Through which, in spite of moment distribution method, all joints are free resulting in rotation and moment emit throughout the structure similar to wave motion. This paper proposes a new set of closed-form equations to calculate member-end rotation or moment, directly, comprising both shear and bending flexibility. Furthermore, the authors program the algorithm of Timoshenko beam theory cooperated with the finite element. Several numerical examples, conducted on the procedures, show that the method is superior in not only the dominant algorithm but also the preciseness of results. | ||
| Key Words | ||
| bridge-frame; closed-form solution; continuous beam; finite element; Timoshenko beam | ||
| Address | ||
| Mahmoud-Reza Hosseini-Tabatabaei and Mahmoud R. Mollaeinia: Department of Civil Engineering, University of Zabol, Zabol, Iran, Mohmmad Rezaiee-Pajand: Department of Civil Engineering, Ferdowsi University of Mashhad, Mashhad, Iran | ||