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Elastic critical load of framed columns subjected to different axial forces

机译:承受不同轴向力的框架柱的弹性临界载荷

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The stability analysis of a single story-2 equal bay frame with different magnitudes of column axial forces is performed by the finite element method. The columns having the same cross sections are linearly tapered along their axes. The parameters considered in the analysis are taper parameter, a for the column and for the beam, beam span to column height ratio, β, and second moment of area ratio for beam to column, γ. To examine the axial force magnitude effect on the critical loads, the magnitude of interior column axial force is assumed to be n times that of the exterior column axial force. Column bases are either hinged or fixed, and frames are classified as being unbraced or braced. To extend the limit of numerical analysis results which are valid only for the particular discrete numerical values, the changes in the critical load coefficients for n = 1.0 are represented by the algebraic function of analysis parameters. The decreases in elastic critical loads due to increases in axial force ratio n are approximately represented in terms of values corresponding to n = 1.0.
机译:采用有限元方法对具有不同大小的圆柱轴向力的单层2等间隔框架进行了稳定性分析。具有相同横截面的柱沿其轴线线性渐缩。分析中考虑的参数是用于圆柱和梁的锥度参数a,梁跨度与柱高之比β和梁与柱的第二面积矩之比γ。为了检查轴向力大小对临界载荷的影响,假定内柱轴向力的大小是外柱轴向力的n倍。立柱底座是铰接的或固定的,而框架则分为未支撑的或支撑的。为了扩展仅对特定离散数值有效的数值分析结果的限制,n = 1.0的临界载荷系数的变化由分析参数的代数函数表示。由于轴向力比n的增大而导致的弹性临界载荷的减小大致用与n = 1.0相对应的值表示。

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