Member Stability:Stability of Axially Compressed Members (Part 2)
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摘要: 非弹性范围,欧拉公式将不再适用。恩格塞尔先后提出切线模量理论和双模量理论来考虑非弹性区的轴压杆屈曲问题,后经验证切线模量理论是正确的。由此,可得到由欧拉公式表示的弹性区的轴压杆临界应力和由恩格塞尔公式表示的非弹性区的轴压杆临界应力。引入安全系数,即可得到柱子曲线。TJ 17—74《钢结构设计规范》(简称《74钢规》)作为我国第一部钢结构设计规范,其柱子曲线就是采用上述方法得到的,但其中的相关参数不是钢材强度理论值,而是由试验确定的。Abstract: Within the inelastic range, Euler’s formula becomes inapplicable. Engesser successively proposed the tangent modulus theory and the dual modulus theory to address the buckling behavior of axially compressed members in the inelastic region. Subsequent validation confirmed the validity of the tangent modulus theory. Accordingly, the critical stress for axially compressed members in the elastic region can be expressed by Euler’s formula, and that for the inelastic region by the Engesser formula. By introducing a safety factor, the column curve can be obtained. As China’s first steel structure design code, the Design Code for Steel Structures (TJ 17-74) adopts this methodology to derive its column curve. However, the relevant parameters are not theoretical steel strength values but are determined through experimental testing.
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[1] Shanley F R. Inelastic column theory[J]. Journal of the Aeronautical Sciences, 1947, 14(5):261. [2] Von Kármán T. Remarks on the statistical theory of turbulence[J]. Journal of the Aeronautical Sciences, 1947, 14(5):267-268. [3] Bleich F. Buckling strength of metal structures[M]. New York:McGraw-Hill Book Company, 1952. [4] 中华人民共和国国家基本建设委员会. 钢结构设计规范:TJ 17—74[S]. 北京:中国建筑工业出版社, 1974. -
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