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Higher‐order horizontally‐curved beam finite element including warping for steel bridges
Author(s) -
ElAmin Fathalla M.,
Kasem Mohamed A.
Publication year - 1978
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620120115
Subject(s) - image warping , finite element method , structural engineering , stiffness matrix , beam (structure) , deflection (physics) , bending stiffness , stiffness , flexural rigidity , geometry , vertical deflection , mathematics , engineering , physics , classical mechanics , computer science , artificial intelligence , electromagnetic coil , electrical engineering
The flexural stiffness for a horizontally curved beam element is developed for nodal parameters w i , (∂ w /∂ s ) i , β i , (∂β/∂ s ) i , (∂ 2 β/∂ s 2 ) i , (∂ 3 β/∂ s 3 ) i by assuming a cubic displacement function for vertical deflection w , and a seventh order polynomical function for the angle of twist β, along the length of the curved beam. The element gives good accuracy with even coarse mesh for the analysis of horizontally‐curved steel beam with open thin‐walled bisymmetrical cross‐section. Warping restraint is considered in the derivation of the stiffness matrix, which has considerable influence on the behavior and design of steel bridges curved in‐plan. The results obtained from such a new element are compared with those given by a lower order finite element, developed previously by the first author, and with theoretical solutions for the particular problem.