Column Bucklingmi@se.er.cn
Column Buckling mi@seu.edu.cn
Contents·StabilityandBuckling（稳定性与失稳）ExamplesofColumns（压杆应用示例）·Conventional DesignofColumns（压杆的常规设计方法）·EulersFormulaforPin-endedColumns（端部铰接压杆欧拉公式）·BucklingModes（失稳模态）·ExtensionofEuler'sFormula（欧拉公式的扩展）·BucklinginOrthogonalPlanes（相互垂直平面内的失稳）·WaystoImproveColumnStability（提高压杆稳定性的途径）·ApplicabilityofEuler'sFormula（欧拉公式的适用范围）·FailureDiagramofColumns（压杆的失效总图）·Critical StressofColumns（压杆临界应力的确定）·DesignofColumns（压杆的稳定性设计方法）·EccentricallyLoadedColumns（偏心压杆）2
• Stability and Buckling（稳定性与失稳） • Examples of Columns（压杆应用示例） • Conventional Design of Columns（压杆的常规设计方法） • Euler’s Formula for Pin-ended Columns（端部铰接压杆欧拉公式） • Buckling Modes（失稳模态） • Extension of Euler’s Formula（欧拉公式的扩展） • Buckling in Orthogonal Planes（相互垂直平面内的失稳） • Ways to Improve Column Stability（提高压杆稳定性的途径） • Applicability of Euler’s Formula（欧拉公式的适用范围） • Failure Diagram of Columns（压杆的失效总图） • Critical Stress of Columns（压杆临界应力的确定） • Design of Columns（压杆的稳定性设计方法） • Eccentrically Loaded Columns（偏心压杆） 2 Contents
Stability and Buckling? Stability is characterized as the ability of a structure to maintainits (stable) equilibrium under working conditions: Buckling is the behavior of a structure losing its equilibriumunder working conditions. This is another type of failure criterionin addition to strength (fracture/yielding), stiffness (deformation)andfatiguecriteria: Buckling occurs suddenly and results in catastrophic accident3
• Stability is characterized as the ability of a structure to maintain its (stable) equilibrium under working conditions. Stability and Buckling • Buckling is the behavior of a structure losing its equilibrium under working conditions. This is another type of failure criterion, in addition to strength (fracture/yielding), stiffness (deformation) and fatigue criteria. • Buckling occurs suddenly and results in catastrophic accident. 3
Examples of ColumnsV
4 Examples of Columns
Conventional Design of Columns: In the design of columns, cross-sectional area is selected such that- allowable stress is not exceededP[o]A- deformation falls withinspecificationspAL[s]5LAEBB: After these design calculations, manydiscover that the column is unstableunder loading and that it suddenlybecomes sharply curved or buckles5
• In the design of columns, crosssectional area is selected such that - allowable stress is not exceeded P A - deformation falls within specifications L P L AE • After these design calculations, many discover that the column is unstable under loading and that it suddenly becomes sharply curved or buckles. Conventional Design of Columns 5