采用A= Ael、Jz= Jzel和Epl = Ec简化的半细长薄壁圆柱钉柱技术侧屈曲应力应变分析

Krzysztof Murawski
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引用次数: 1

摘要

本文提出并讨论了基于技术稳定理论的半细长柱轴向受压弹塑性状态下侧向屈曲失稳的简化方法。假设在临界弹塑性横截面内存在弹性部分和塑性部分,并保持强度。为简化计算,假设在弹塑性横截面中只有柱的弹性部分保持阻力,即横截面面积A= Ael,横截面面积转动惯量Jz= Jzel。同时假设弹性杨氏模量E具有弹性静矩Szel,塑性模量Epl具有塑性静矩Szpl,并从实验研究中简化为塑性模量等于压缩模量,即Epl= Ec。作为薄壁圆柱柱的理论实例,给出了曲线轴、曲线轴的斜率、柱的挠度、薄壁柱的应力和应变以及临界压应力随截面面积和长细比的函数曲线图,并与St35钢柱的试验结果进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Technical Lateral Buckling with Stress and Strain Analysis of Semi-slender Thin-walled Cylindrical Pinned Column Simplified with A= Ael, Jz= Jzel and Epl = Ec
The paper presents and discusses the simplified method based on the Technical Stability Theory (TSTh) of loss of stability of lateral buckling in elastic-plastic states of semi-slender columns axially compressed by a force. It is assumed that in the critical elastic-plastic transverse cross-section there are the elastic and plastic parts of the area, keeping strength. To simplify the calculations is assumed that in the elastic-plastic transverse cross-section only the elastic part of column keeps the resistance, i.e. the transverse cross-section area A= Ael, moment of inertia of a cross-section area Jz= Jzel. Also is assumed that the elastic Young’s modulus E features an elastic static moment Szel, and the plastic modulus Epl features a plastic static moment Szpl, with simplification that the plastic modulus equals the compress modulus, i.e. Epl= Ec taken from experimental researches. The graphs of functions of the curved axes, their slopes, deflections of the columns, stresses and strains in thin-walled columns and critical compressive stresses depending on the cross-section areas and slenderness ratios are presented as the theoretical examples of thin-walled cylindrical columns and compared to results obtained from experiments with columns made of steel St35.
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