Stability of Equilibrium and Buckling Analysis of Struts and Columns

Posted by on Jan 22, 2025 in Ancient Sciences and Languages | 0 comments

Stability of Equilibrium and Buckling Analysis

Z

Ch.7 notes – Stability of Equilibrium – Consider a slight displacement from the equilibrium position of a rigid weightless bar. The equation -(kLsinΘ)(LcosΘ)-P(LsinΘ)=0 simplifies to P=kLcosΘ or P=kL. Three cases are considered:

  1. If P < kL, the bar force restores the position.
  2. If P = kL, the spring force cannot restore the position, and Pc=kL is the critical load.
  3. When P > Pc, the bar collapses.

Consider an imperfect system: kL(sinΘ-sinΘ0)(LcosΘ)

Read More