Geometric Nonlinear Analysis of Structures Using Beam Elements Considering the Thermal Effect
Date Issued
2008
Date
2008
Author(s)
Hung, Chen-Ru
Abstract
The objective of this thesis is to investigate the behavior of steel frames in high temperature. In the past decades, steel has been popularly used as a constructional material. Compared with other commonly used materials, such as reinforced concrete, steel has a high thermal conductivity and softens rapidly when the temperature reaches a certain level, which makes the behavior of a steel structure in fire drastically different from that at room temperature. Therefore, geometrical nonlinearity caused by large deformations, material nonlinearity caused by softening, and the effect of thermal straining on the calculation of member forces should all be taken into account in analysis. In this thesis, the analytical solution of cantilever beam under high temperature conditions will be derived by the total Lagrangian formulation. This solution can be used as a benchmark solution for comparison with the solutions obtained by the finite element method. Further, a finite element considering the thermal effect is formulated to simulate the inelastic nonlinear behavior of steel beams in high temperature. From the design point of view, the overall capacity of a steel frame can be well represented by the critical load-temperature curves.
Subjects
fir resistance
thermal effect
finite element method
nonlinear analysis
Type
thesis
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