6.5 - Buckeling Lecture Note Sheet

6.5 Buckling a type of failure which occurs suddenly (w little to no warning signs) occurs due to compressive stresses causing on instability standard analysis correct for small deformations. linear systems Mb Pix when stability is not an issue F undeformed (6) deformed (ii) F P Mouis = x + Fv PO, FO: MM v bigger compressive fra Pro, FCOM)> Mo critical lood P (that creates a non-zero deflection of the beam) P Lepp 2 0.7L OM σε radius of gyration P r A A 2 ΠΕΙ AL () Slenderness ratio= σ Euler's Formula L A negative Feedback Loop which derives instabiuty & causes buckling