L22 - Chapter 10 Columns Stability of Structures In the...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Chapter 10 Columns Stability of Structures In the design of columns: - allowable stress is not exceeded all A P =- deformation falls within specifications spec AE PL = column is unstable under loading: suddenly becomes sharply curved or buckles. Unstable column Stability of Structures: 2 rods & torsional spring ( ) 2 : moment restoring K 2 sin 2 : moment ing destabiliz L P L P Column is stable (tends to return to aligned orientation) if destabilizing moment < restoring moment: ( ) L K P P K L P cr 4 2 2 = < < Stability of Structures After a perturbation, the system settles to a new equilibrium configuration at a finite deflection angle. ( ) sin 4 2 sin 2 = = = cr P P K PL K L P : the assumed configuration is only possible if P > P cr . P has to exceed P cr to obtain a new equilibrium. Steps to Fnd P cr- draw BD for the defected conFguration of the system- use statics to solve for P cr sin < Eulers Formula for Pin-Ended Beams...
View Full Document

This note was uploaded on 12/14/2010 for the course ENGR 2530 taught by Professor Lindaschadlerfeist during the Fall '08 term at Rensselaer Polytechnic Institute.

Page1 / 15

L22 - Chapter 10 Columns Stability of Structures In the...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online