This lesson covers the derivation of the governing differential equation for the deflection curve of a thin bar with a circular center line. It further explains how to find the critical load of two hinge and fixed-fixed circular arches when subjected to uniformly compressed radial pressure. The lesson also discusses the concept of normal pressure on each cross section of the arch and how to calculate it. It provides an in-depth understanding of the bending moment produced at any section and how to derive the governing differential equation of deflection. The lesson concludes with examples of buckling of uniformly compressed circular arch and how to calculate the critical pressure.

- The critical load of two hinge and fixed-fixed circular arches can be calculated when subjected to uniformly compressed radial pressure.
- The bending moment produced at any section can be calculated using the normal pressure and displacement in the radial direction.
- The governing differential equation of deflection can be derived using the bending moment.

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