NPTEL : NOC:Plates and Shells (Civil Engineering)

Co-ordinators : Prof. Sudip Talukdar


Lecture 1 - Introduction, classification of plates and some useful relations

Lecture 2 - Theory of thin plate bending

Lecture 3 - Plate equations and boundary conditions with examples

Lecture 4 - Exercises on the plate bending theory

Lecture 5 - Simply supported plate subjected to distributed loading

Lecture 6 - Simply supported plate subjected to concentrated load and couple

Lecture 7 - Simply supported plate resting on elastic foundation and other examples

Lecture 8 - General formulation for rectangular plate with two opposite edges simply supported

Lecture 9 - Levy's solution for different loading and boundary conditions

Lecture 10 - Rectangular plate with Levy's boundary condition subjected to edge moment

Lecture 11 - Transformation of plate equation from rectangular co-ordinates to polar co-ordinates

Lecture 12 - Axi-symmetrical bending of circular plate under pure moment and uniformly distributed load

Lecture 13 - Examples in axisymmetrical bending of solid and annular plate

Lecture 14 - Variational principle in plate problem

Lecture 15 - Applications of Rayleigh-Ritz and Gallerkin's method

Lecture 16 - Finite difference method in plate bending

Lecture 17 - Plate subjected to inplane forces and transverse load

Lecture 18 - Buckling load of rectangular plate plate with Navier's boundary condition

Lecture 19 - Buckling load of rectangular with Levy's boundary condition

Lecture 20 - Rayleigh-Ritz and Gallerkin method in buckling of plate

Lecture 21 - Finite difference method in buckling of plate

Lecture 22 - Introduction to shell structure and behavior of stretched membrane

Lecture 23 - Classification of shell structure

Lecture 24 - Stress resultants and couples in shells

Lecture 25 - Membrane analysis of shells of surface of revolution

Lecture 26 - Analysis of Spherical dome

Lecture 27 - Some examples of axi-symmetrical cases in surface of revolution

Lecture 28 - Membrane theory in pressure vessels

Lecture 29 - Membrane theory in pressure vessel in the form a Torus and in a tank of arbitrary meridian

Lecture 30 - Membrane theory of hyperboloid of revolution: Application to cooling tower

Lecture 31 - Differential Equations of Equilibrium in Cylindrical shell using membrane hypothesis

Lecture 32 - Membrane Analysis of Cylindrical Shell roof subjected to self weight and snow load

Lecture 33 - Circular Cylindrical Shell for Fourier Loading in a membrane state of stress

Lecture 34 - Simplified Bending Theory of Cylindrical Shell-Beam and Arch theories

Lecture 35 - General bending theory of cylindrical shell

Lecture 36 - Some applications of symmetrical bending of circular cylindrical shell