It has been shown that a slab has an effect to restrict lateral buckling of the steel beam, and many studies have been done. However, the study on evaluation of the elastic lateral buckling strength is the main constituent, and there are few studies on plastic deformation capacity. In late years the experimental studies on composite beam have advanced, and a lot of data are accumulated. Depending on this, the studies paid its attention to plastic deformation capacity are accomplished. But complicated numerical analysis and evaluation model are used, and the expression is not practical.
This paper shows a method to evaluate plastic deformation capacity in consideration of a slab buckling restriction effect in a simple and easy expression and suggests a design method to examine lateral bracing.
The end boundary condition and the action moment of the beam to intend for assumed it two cases of the next.
Case1: Both ends fixed support and double curvature moment
Case2: One end fixed, another end simple support and single curvature moment
A previous evaluation is used for the plastic deformation capacity, but therefore a good elastic lateral buckling strength of the precision in consideration of a slab buckling restriction effect is necessary. According to the existing study, it is thought that the transverse of the upper flange is completely restricted as for the buckling restriction effect.
The elastic buckling strength in consideration of a slab restriction effect
Mcre becomes the middle value not to consider rotational restriction
Mcr1 and rotation fixed
Mcr2. Therefore elastic lateral buckling strengths not to consider rotational restriction and rotation fixed are calculated by eigenvalue analysis on FEM. Using the analysis results, the elastic lateral buckling strength of both values
Mcr1,
Mcr2 are evaluated in a simple and easy expression using an elastic lateral buckling strength applied equal bending moment under each boundary condition
Mcr0.
So, the elastic lateral buckling strengths are calculated by eigenvalue analysis under rotational rigidity changed to infinite from zero in succession sequentially. Using the analysis results, the elastic buckling strength
Mcre is expressed by a logistic function using
Mcr1,
Mcr2 and torsional rigidity ratio of slab and beam.
In this paper, torsional rigidity of the slab is calculated with an effective width being represented by a column width. According to this, the torsional rigidity ratio becomes around 15 from 5 and shows practical value. This expression secures good precision in this range. Then, applying this to a previous expression, a plastic deformation capacity is evaluated. The validity of the evaluation is shown by a comparison with the experimental value.
Finally the design method to compare the plastic deformation capacity by shown evaluation with the demand capacity decided by member angle of the beam is shown. The required deformation capacity is set low so that a beam becomes slim. Therefore, it is shown that the lateral bracing becomes needless with most beams without a slab restriction effect.
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