This lesson covers the derivation and understanding of equilibrium equations for cylindrical shells using small deflection theory. It explains how the presence of initial curvature in a cylindrical shell results in membrane action due to secondary middle surface forces. The lesson further elaborates on how these forces are expressed in terms of mid-plane displacement components. It also discusses the equations of equilibrium for cylindrical shells in terms of displacement components. For instance, the lesson explains how compressive loads are considered negative as per sign convention. The lesson concludes with the derivation of Donnell's equation.

- The equilibrium equations for cylindrical shells are derived using small deflection theory.
- The presence of initial curvature in a cylindrical shell results in membrane action due to secondary middle surface forces.
- These forces are expressed in terms of mid-plane displacement components.
- Compressive loads are considered negative as per sign convention.

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