This lesson covers the development of bending solutions using three-dimensional elasticity for simply supported shell panels. It discusses the use of the power series method and the successive layer approach for solving the governing differential equations. The lesson also delves into the Frobenius method and its modified version for solving these equations. It further explores the three-dimensional solutions for cylindrical shells and the use of the successive layer approach and the modified Frobenius method for solving shell panels and finite shells. The lesson concludes with a discussion on the finite shell model and the formulation for levy-type transversely loaded cross-ply shell panels.

- The power series method and the successive layer approach are used to solve the governing differential equations for simply supported shell panels.
- The Frobenius method and its modified version are used to solve these equations.
- Three-dimensional solutions for cylindrical shells are rare and are usually for special cases and boundaries.
- The successive layer approach considers each lamina as made of a number of fictitious layers.
- The modified Frobenius method is advantageous as it directly solves the equations.
- The finite shell model and the formulation for levy-type transversely loaded cross-ply shell panels are discussed.

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