Second-Order Nonlinear Analysis of Steel Tapered Beams Subjected to Span Loading

Abstract

A second-order elastic analysis of tapered steel members with I-shaped sections subjected to span distributed and concentrated loadings is developed. Fixed end forces and moments as well as exact stiffness matrix of tapered Timoshenko-Euler beam are obtained with exact geometrical properties of sections. The simultaneous action of bending moment, shear, and axial force including − effects is also considered in the analysis. A computer code has been developed in MATLAB software using a power series method to solve governing second-order differential equation of equilibrium with variable coefficients for beams with distributed span loading. A generalized matrix condensation technique is then utilized for analysis of beams with concentrated span loadings. The accuracy and efficiency of the results of the proposed method are verified through comparing them to those obtained from other approaches such as finite element methods, which indicates the robustness and time saving of this method even for large scale frames with tapered members.

Parametrical analysis of the tapered steel section with elliptical perforation: shear behaviour effects

“…The section properties of each model are listed in Table 3, and the results of shear buckling capacity verification based on theoretical computation and finite element analysis are summarised in Table 4. Previously, numerical flexibility matrix of tapered I-beams for shear deformations is discussed (Vu-Quoc and Leger, 1992; Trahair and Ansourian, 2016; Hadidi et al , 2014). Most of design codes adopted to determine the effective shear force for tapered beams.…”

The nonlinear analysis of tapered steel section with opening due to the effects of bending behavior

“…The usage of lightweight steel sections has increased due to the need for maximum space utilization, efficient construction structures and cost-effectiveness (Ozbasaran and Yilmaz, 2018) as well as time saving (Hadidi et al , 2014). The built-up sections of web-tapered I-shaped beams (Trahair, 2014; Šapalas, 2010; Magnucki et al , 2020) are mostly fabricated by welding flat sections.…”