Torsional-Flexural Buckling of Unevenly Battened Columns under Eccentrical Compressive Loading

Abstract

Abstract:In this paper, an analytical model is developed to determine the torsional-flexural buckling load of a channel column braced by unevenly distributed batten plates. Solutions of the critical buckling loads were derived for three boundary cases using the energy method in which the rotating angle between the adjacent battens was presented in the form of a piecewise cubic Hermite interpolation (PCHI) for unequally spaced battens. The validity of the PCHI method was numerically verified by the classic analytical approach for evenly battened columns and a finite element analysis for unevenly battened ones, respectively. Parameter studies were then performed to examine the effects of loading eccentricities on the torsional-flexural buckling capacity of both evenly and unevenly battened columns. Design parameters taken into account were the ratios of pure torsional buckling load to pure flexural buckling load, the number and position of battens, and the ratio of the relative extent of the eccentricity. Numerical results were summarized into a series of relative curves indicating the combination of the buckling load and corresponding moments for various buckling ratios.2

Influence of lacing bars on the buckling capacity of four-legged latticed columns considering geometric imperfections

“…8 These analytical results showed the design code EC3 was in need of revisions because of its higher values in forecasting the critical buckling load of latticed columns. Channel battened columns were studied by Ren et al 9 using piecewise cubic Hermit interpolation (PCHI) to express the rotational displacement function of column during flexural-torsional buckling deformation. It found that flexural-torsional buckling was prior to happen than pure flexural buckling for channel-section columns, which would be affected by the geometric characteristics and eccentricities.…”

Investigation on elastic compound buckling of latticed columns considering eccentricity and geometric imperfections

“…The flexuraltorsional buckling of evenly battened columns was analyzed theoretically by Wang 16 using total potential energy equation solved by Rayleigh-Ritz method. Unevenly battened channel columns were studied by Ren et al 17 using piecewise cubic Hermit interpolation (PCHI) to express the rotational displacement function during flexural-torsional buckling deformations. It was found that flexural-torsional buckling was more likely to happen than pure flexural buckling for channelsection columns, which was affected by geometric characteristics and eccentricity.…”