MAAE 2202 Lecture Notes - Lecture 7: Boundary Value Problem, Centroid, Compressive Stress

• School: Carleton University
• Department: Mechanical and Aerospace Engineering
• Course: MAAE 2202
• Professor: Xin Wang

Document Summary

The former situation is termed stable equilibrium and the latter is termed. Consider slightly displaced position ( is very small) from equilibrium of rigid, weightless bar kl since is very small. , the bar is stable (spring force restores bar to vertical position). , the bar is unstable (spring force is insufficient to restore bar to vertical position). Consider a slightly imperfect system: the spring is undeformed at a very small angle 0. The angle is very small. sin kl kl(sin -sin 0) 0 since sin and cos when is very small. , this imperfect system is same as the perfect system above. Increases as soon as the load p is applied until it reaches , which causes the bar. Determine the buckling load for the system in the figure below. Considering force equilibrium of the whole system kl. This mode of failure is also described as failure due to elastic instability.