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Analysis of composite beams with partial interaction using the direct stiffness approach accounting for time effects
Author(s) -
Ranzi Gianluca,
Bradford M. A.
Publication year - 2008
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.2500
Subject(s) - stiffness , structural engineering , time domain , slab , discretization , domain (mathematical analysis) , curvature , shrinkage , shear (geology) , beam (structure) , algebraic equation , nonlinear system , mathematics , mathematical analysis , computer science , materials science , engineering , geometry , physics , composite material , quantum mechanics , computer vision
This paper presents a modelling technique based on the direct stiffness method (DSM) to describe the behaviour in time of composite beams with partial shear interaction accounting for creep and shrinkage of the slab. The time‐dependent behaviour of the concrete is modelled using algebraic representations, such as the age‐adjusted effective modulus method and the mean stress method, while the steel joist, the reinforcement and the shear connection are assumed to behave in a linear‐elastic manner. Only one discretization (i.e. in the time domain) is required by the proposed stiffness formulations to perform a time analysis, while two discretizations (i.e. one in the time domain and the other in the spatial domain along the beam axis) are required by other modelling techniques available in the literature. The ability of the derived elements to overcome curvature locking problems observed to occur in some conventional displacement formulations is also highlighted. The proposed DSM approach is then validated against analytical solutions derived by the authors for simple structural systems. The applicability of this method for the time analysis of continuous composite beams is also illustrated. Copyright © 2008 John Wiley & Sons, Ltd.