TABLE OF CONTENTS The theory of bending and torsion of thin-walled elastic beams presented in Chap. 2 is now applied to solve the behavior of biaxially loaded beam-columns. This is a generalization of beam-column problems to consider their space behavior under general three-dimensional loading conditions. Here, as in Chaps. 3 and 4 of Vol. 1 of this book, the analyses are limited within the elastic range of the material so that geometric nonlinearity is the only possible source of complication of the analysis. The elastic theory presented here can serve as a theoretical basis for plastic analysis of biaxially loaded beam-columns to be presented in Chaps. 7 to 12. Chapters 5 and 6 present the strength and behavior of beam-column segments where the complication of the analysis is caused almost entirely by the non-linear properties of the material.
All assumptions made previously in Chap. 2 are again reviewed here so that all equations derived in Chap. 2 may be used to solve the general equations derived herein. The basic assumptions required in this chapter are:
No distortion of the shape of cross-section-this together with elasticity assumption of material guarantees invariability of sectional properties.
Thin-walled open cross-section only stresses on a cross section are normal stress, and shear stress in the direction of contour of a cross-section.
Shear deformation ignored it follows that the warping deformation of a cross-section can be calculated by the rule of sectorial area.
Initially straight beam-column the effect of initial lateral deflections and twist on the behavior of a beam-column...
