This lesson covers the different methods of stability analysis using simple mechanical models and rigid body models. It introduces four basic approaches for estimating the critical load: the equilibrium approach, the energy approach, the imperfection approach, and the dynamic approach. The lesson then delves into the use of a single degree of freedom stability model to find the critical load using these approaches. It also discusses the energy approach's power in analyzing equilibrium positions. The lesson concludes with a detailed explanation of the rigid body stability model, including how to find the condition of equilibrium and the characteristic of equilibrium using the energy method.

- Stability analysis can be conducted using four main approaches: equilibrium, energy, imperfection, and dynamic.
- The energy approach is a powerful method for analyzing equilibrium positions.
- A single degree of freedom stability model can be used to find the critical load using these approaches.
- The rigid body stability model allows for the determination of the condition of equilibrium and the characteristic of equilibrium using the energy method.
- The total potential energy of a system in a deformed configuration can be found using the energy approach.

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