Steel–concrete composite beams in partial interaction: Closed-form “exact” expression of the stiffness matrix and the vector of equivalent nodal forces

2010 ◽  
Vol 32 (9) ◽  
pp. 2744-2754 ◽  
Author(s):  
Ciro Faella ◽  
Enzo Martinelli ◽  
Emidio Nigro
Keyword(s):  
Closed Form ◽  
Stiffness Matrix ◽  
Composite Beams ◽  
Exact Expression ◽  
Partial Interaction ◽  
Equivalent Nodal Forces

scholarly journals The analysis of composite beams with partial interaction using the general technique method

2008 ◽  
Vol 30 (1) ◽  
pp. 1-10
Author(s):  
Nguyen Van Chung ◽  
Bui Cong Thanh
Keyword(s):  
Finite Element Analysis ◽  
Stiffness Matrix ◽  
Composite Beams ◽  
Element Analysis ◽  
General Technique ◽  
Shear Connection ◽  
Beam Curvature ◽  
Partial Interaction ◽  
Elastic Shear ◽  
Monotonic Load

This paper presents a modeling technique that derives from the work of Newmark to describe the behavior of steel-concrete composite beams with elastic shear connection. The model is used to derive expressions for beam curvature, rotation and deflection under monotonic load from which the stiffness matrix is derived and finite element analysis performed on a set of illustrative examples. Model results are compared to those obtained using other method.

scholarly journals Elastic Analysis of Steel-Concrete Composite Beams with Partial Interaction

2021 ◽  
Vol 1203 (3) ◽  
pp. 032110
Author(s):  
Stefan M. Buru ◽  
Cosmin G. Chiorean ◽  
Mircea Botez
Keyword(s):  
Axial Force ◽  
Stiffness Matrix ◽  
Concrete Slab ◽  
Homogeneous Equation ◽  
Neumann Boundary ◽  
Composite Beams ◽  
Elastic Analysis ◽  
Partial Interaction ◽  
Full Interaction ◽  
Midspan Deflection

Abstract The paper presents an exact analytical method for the elastic analysis of steel-concrete composite beams with partial interaction. Accepting the basic assumptions of the Newmark analytical model and adopting the axial force in the concrete slab as the main unknown, the second order nonhomogeneous differential equation of the steel-concrete composite element with partial interaction is derived. Further, the complete solutions for simply supported and fixed-ended composite beams subjected to concentrated and uniform loads respectively, are developed. The solution of the homogeneous equation is determined by imposing proper Dirichlet or Neumann boundary conditions depending on the static scheme of the element. The particular solutions are then derived for the considered loading conditions. It is shown that the internal axial force in concrete slab associated to composite beams with partial interaction can be expressed as a fraction of the axial force in concrete slab under full interaction through a non-dimensional function f(aL) which takes into account the connection’s stiffness, the mechanical properties and also the length of the element. Moreover, the solutions are included in a flexibility-based approach to derive the force-displacement relations of the beam element with partial interaction. For the resulted 2-noded beam-column element with 6DOF, the stiffness matrix is derived, showing that the partial composite action may be included at the element level by means of a series of correction factors applied to the standard full-interaction stiffness matrix coefficients. A numerical example is provided to demonstrate the accuracy and performance of the proposed method. Within the elastic range, the predicted load-midspan deflection curve is in very good agreement with both experimental and other numerical results retrieved from international literature. A parametric study was conducted to investigate the influence of the shear connection degree on the beam’s midspan deflection and the results were compared with those computed by using code provisions.

Stiffness matrix for the analysis and design of partial-interaction composite beams

2017 ◽  
Vol 156 ◽  
pp. 761-772 ◽  
Author(s):  
Jian-Ping Lin ◽  
Guannan Wang ◽  
Guangjian Bao ◽  
Rongqiao Xu
Keyword(s):  
Stiffness Matrix ◽  
Composite Beams ◽  
Analysis And Design ◽  
Partial Interaction
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