In this presentation we'll present the differential equation associated with buckling of a pinned-pinned column and then solve that equation as a boundary value problem to find the theoretical buckling strength or Euler Buckling Capacity of an elastic column. Next, we apply the same solution process to a fixed-fixed column, and derive the effective length factor that is used to characterize various end restraints for columns.
0:00 – Introduction
0:40 – Pinned-Pinned Column
4:51 – Buckling Mode Shapes
6:49 – Critical Stress
8:34 – Theoretical Solution Space for Compression
9:39 – Fixed-Fixed Column
15:54 – Eigenvalues and Eigenvectors
21:32 – Effective Length Factors
29:24 – Strong Axis vs Weak Axis Buckling
36:28 – Conclusions
Keywords:
ASCE 7-16: 2016 American Society of Civil Engineers Minimum Design Loads and Associated Criteria for Buildings and Other Structures
AISC 360-16: American Institute of Steel Construction
