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Collapse analysis of 3D steel frame by a fibered plastic hinge method
Abstract
The accuracy of a new beam element proposed by the first author in combined inelastic bending and nonuniform torsion problem is examined through the collapse analysis of one-bay one-story three-dimensional steel frame with H-columns subjected to eccentric horizontal cyclic loading under a constant vertical load. The element is of the plastic hinge type. The formulation procedure is a combination of the 'modified incremental stiffness method', the updated Lagrangian formulation, and numerical integration of the fiber stiffness about the sections at the plastic hinges. The use of the beam element makes it possible to evaluate the strain in the member caused by three-dimensional elastoplastic deformation of a frame. Comparisons with existing test results show that the analysis by four-element approximation for a member using the new element gives an excellent result.
... A new straight beam element for elastoplastic large deflection analysis of three dimensional (3D) steel frames was proposed by Shugyo [1] . The element was named "Fibered Plastic Hinge Model" [2][3][4] . The element is of the plastic hinge type. ...
... where f x is an axial force, m y and m z are bending moments about y and z axes, respectively. Using the tangent stiffness method [10] , we can obtain the incremental generalized stress-generalized strain relationship for i-section of the element: (4) where s i is a tangent coefficient matrix for isection. Another tangent coefficient matrix s j can be obtained similarly for j-section. ...
A plastic hinge type beam element for three-dimensional analysis of prestressed concrete beams and frames is presented. The element was originally proposed for pure steel frames and named "Fibered Plastic Hinge Model". The formulation procedure is a combination of the "modified incremental stiffness method", the updated Lagrangian formulation, and numerical integration of fiber stiffnesses about the sections at the plastic hinges. In this paper the element is extended for prestressed concrete members and its reliability is examined by using available experimental results on prestressed concrete beams and frames. Comparisons of numerical and experimental results show that the developed beam element has a sufficient accuracy concerning the laod-carrying capacity under cyclic loadings. The element may be used to examine a performance of prestressed concrete beams and frames.
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