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- Fiber_beam_element abstract "Fiber beam models are simplified versions of the Finite element method used to reduce the computational cost. Fiber beam models use detailed geometry and material models to obtain an accurate representation of yielding and nonlinear behavior along the length of the member.The promising model for nonlinear analysis of reinforced concrete is the Fiber model because it is more sophisticated than the plastic hinge model and less computationally demanding than the Finite Element models. Plastic hinge models require the details of moment-rotation relationships at the beam ends, which are unlikely to be available to the designer. Details of the section and geometry of the structural component and properties of the materials are essential components to building the Fiber models; generally they are available and simple to obtain. Fiber models are also computationally efficient because of their minimal storage and processing requirements.The Fiber model for reinforced concrete (RC) structures was developed by dividing each element into several sections along the member. The sections at each end of the element were further divided into several fibers which represent concrete and steel.The strain in each fiber is calculated from the centroidal section strain and curvature with the help of the plane section remaining plane assumption. The stresses and modulus of fibers were calculated from the fiber strain values. The constitutive relation of the section is derived by integration of the response of the fibers; the response of elements is also derived by integration of the response of sections along the length of the element.Mark and Roesset studied the Fiber model applicability to predict the nonlinear dynamic response of reinforced concrete frames. Bazant and Bhat divided each section into several horizontal layers and allowed each layer to crack at different angles which are derived from the interaction of shear and normal stress in the layer. In this model the effect of shear was included with the help of multiaxial constitutive laws based on the endochronic theory. Kaba and Mahin used a flexibility approach to model fiber beam elements. Their model violated equilibrium within the element and was plagued by numerical instabilities. Zeris and Mahin improved the original Kaba and Mahin model by using a modified event to event procedure to compute the axial force and bending moment of the beam section. This force-based approach was advantageous because the equilibrium was satisfied in a strict sense. Ciampi and Carlesimo were the first to implement the force-based beam-column element into Fiber models. Spacone et al. implemented the fiber discretization of the section behavior with axial force and bending moment interaction. Mullapudi and Ayoub formulated the displacement and force based two-dimensional (2-D) element based on the Timoshenko beam theory, with a fiber section accounting for axial and shear effects.Mullapudi and Ayoub extended the 2-D formulation to three-dimensional (3-D) formulation for reinforced concrete members subjected to combined loadings including torsion. The fiber beam model is improved to address the interaction between the axial force, bidirectional shear, biaxial bending, and torsion. The shear mechanism along the beam is modeled using a Timoshenko beam approach with 3D frame elements with arbitrary cross-sectional geometry. The fiber beam model considers the 3D equilibrium, compatibility, and constitutive laws of materials at the section and structural level. The concrete constitutive law followed the softened membrane model with a tangent-stiffness formulation.Mullapudi and Ayoub extended the fiber beam formulation to include soil structure interaction. They incorporated both displacement and two-field mixed formulation which the differential equations are solved based on both a displacement and a force field for mixed formulation. For the foundation problem, this mixed approach is very advantageous from a numerical standpoint.".
- Fiber_beam_element thumbnail Fiber_model.png?width=300.
- Fiber_beam_element wikiPageID "42111990".
- Fiber_beam_element wikiPageLength "9336".
- Fiber_beam_element wikiPageOutDegree "7".
- Fiber_beam_element wikiPageRevisionID "667743112".
- Fiber_beam_element wikiPageWikiLink Category:Finite_element_method.
- Fiber_beam_element wikiPageWikiLink Category:Structural_analysis.
- Fiber_beam_element wikiPageWikiLink Finite_element_method.
- Fiber_beam_element wikiPageWikiLink Geometry.
- Fiber_beam_element wikiPageWikiLink Timoshenko_beam_theory.
- Fiber_beam_element wikiPageWikiLink File:Fiber_model.png.
- Fiber_beam_element hasPhotoCollection Fiber_beam_element.
- Fiber_beam_element wikiPageUsesTemplate Template:Multiple_issues.
- Fiber_beam_element wikiPageUsesTemplate Template:Reflist.
- Fiber_beam_element subject Category:Finite_element_method.
- Fiber_beam_element subject Category:Structural_analysis.
- Fiber_beam_element hypernym Versions.
- Fiber_beam_element type MeanOfTransportation.
- Fiber_beam_element comment "Fiber beam models are simplified versions of the Finite element method used to reduce the computational cost. Fiber beam models use detailed geometry and material models to obtain an accurate representation of yielding and nonlinear behavior along the length of the member.The promising model for nonlinear analysis of reinforced concrete is the Fiber model because it is more sophisticated than the plastic hinge model and less computationally demanding than the Finite Element models.".
- Fiber_beam_element label "Fiber beam element".
- Fiber_beam_element sameAs m.0_x6rz8.
- Fiber_beam_element sameAs Q17013444.
- Fiber_beam_element sameAs Q17013444.
- Fiber_beam_element wasDerivedFrom Fiber_beam_element?oldid=667743112.
- Fiber_beam_element depiction Fiber_model.png.
- Fiber_beam_element isPrimaryTopicOf Fiber_beam_element.