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Advanced Mechanics of Materials and Applied Elasticity, Fifth Edition by Saul K. Fenster, Ansel C. Ugural

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Chapter 13. Plates and Shells

13.1 Introduction

This chapter is subdivided into two parts. In Part A, we develop the governing equations and methods of solution of deflection for rectangular and circular plates. Applications of the energy and finite element methods for computation of deflection and stress in plates are also included. Membrane stresses in shells are taken up in Part B. Load-carrying mechanism of a shell, which differs from that of other elements, is demonstrated first. This is followed with a discussion of stress distribution in spherical, conical, and cylindrical shells. Thermal stresses in compound cylindrical shells are also considered.

Part A—Bending of Thin Plates

13.2 Basic Assumptions

Plates and shells are initially flat ...

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