Theory of Plates and Shells

About the Subject:

In continuum mechanics, plate theories are mathematical descriptions of the mechanics of flat plates that draws on the theory of beams. Plates are defined as plane structural elements with a small thickness compared to the planar dimensions.[1] The typical thickness to width ratio of a plate structure is less than 0.1. A plate theory takes advantage of this disparity in length scale to reduce the full three-dimensional solid mechanics problem to a two-dimensional problem. The aim of plate theory is to calculate the deformation and stresses in a plate subjected to loads.

Topics to be covered in this Seminar:

Introduction- Line and surface structures, Membrane, Thin and thick plates. Pure Bending of Plates-Slope and curvature of slightly bent plates. Small Deflection theory of Laterally Loaded Plates- Governing differential equation and boundary conditions. Bending of Circular plates- Governing equation, Axisymmetric loading, Various types of circular plates. Plates on Elastic Foundation- Differential equation of plates, Solution for rectangular plates. Shells- Classification of shells, Engineering use of shell structures. Membrane Theory: Cylindrical shells and shell of revolution, Axisymmetric and unsymmetrical loading. Solution for stress resultants and displacements. Cylindrical, spherical and conical shells supported at isolated points. Analysis for wind and periodic loads. Bending Theory of Cylindrical Shell- Governing equations for stresses and displacements for symmetric and general conditions. Flugge and Donnel theories. Cylindrical shells with uniform and non-uniform thickness.

Time to be planned :

     1 or 2 days

Kind of program :

       3D based Seminar and Guest Lecture for the Students

Reason for the program :

      Kalam Scientist Team aiming to build young generation Scientist

Sample Clips for reference : 

Cheers,
Kalam Scientist Team
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