Fundamentals of Stability: Behavior of Members
Presented by: Ronald D. Ziemian, PE, PhD
Session 1: Behavior of Compression Members: The behavior of compression members will then be covered. The assumptions in the solution to the Euler column problem will be used as a basis for systematically moving from the theoretical solution presented in 1757 to the modern day methods of design and analysis of compression members. Emphasis will be placed on the effects of material yielding accentuated by the presence of residual stresses, initial imperfections, and end conditions. The flexural buckling strength of members without slender elements will be covered and ultimately presented in the form of column curves.
Session 3: Behavior of Flexural Members – The Fundamentals: Using an approach similar to that employed in Session 1, this lecture will provide an overview of the strengths and limitations of the solution to the differential equation that defines the elastic lateral-torsional buckling (LTB) strength of beams. Related flexural and torsional concepts, including the benefits of warping resistance, will be briefly reviewed. The assumption of elastic behavior will then be relaxed to define the inelastic LTB and plastic moment capacities of flexural members. The strength of beams without slender elements will be covered and ultimately presented in the form of beam resistance curves.
Session 5: Stability of Structural Systems/Beam-Columns!: This lecture will begin with a review of basic concepts related to the stability of beam-columns. With an eye towards design, the difference between a bifurcation or critical load analysis and the loss in stiffness due to second-order effects and material yielding, as the maximum resistance of physical structures is approached, will be emphasized. The lecture will conclude with an overview of the direct analysis and effective length methods.
This is a 3-session course, modified from the original 8-sesssion Night School focused on member behavior as it relates to structural stability.