Plates and Shells (English)

   Wednesday, April 03, 2024   

Starting a new Lecture Notes Series on Plates and Shells

Youtube Lecture Playlist Credits 

Channel Name: NPTEL IIT Guwahati

So Let Us Start to This Journey of Learning 

Plates and Shells By Lecture Notes together!

Lecture 1: Plates and Shells

Lecture 2: Lec 1: Introduction ,classification of plates and some useful relations

Lecture 3: Lec 2: Theory of thin plate bending

Lecture 4: Lec 3: Plate equations and boundary conditions with examples

Lecture 5: Lec 4: Exercises on the plate bending theory

Lecture 6: Lec 5: Simply supported plate subjected to distributed loading

Lecture 7: Lec 6: Simply supported plate subjected to concentrated load and couple

Lecture 8: Lec 7: Simply supported plate resting on elastic foundation and other examples

Lecture 9: Lec 8: General formulation for rectangular plate with two opposite edges simply supported

Lecture 10: Lec 9: Levy's solution for different loading and boundary conditions

Lecture 11: Lec 10: Rectangular plate with Levy's boundary condition subjected to edge moment

Lecture 12: Lec 11: Transformation of plate equation from rectangular co-ordinates to polar co-ordinates

Lecture 13: Lec 12: Axi-symmetrical bending of circular plate under pure moment and uniformly distributed load

Lecture 14: Lec 13: Examples in axisymmetrical bending of solid and annular plate

Lecture 15: Lec 14: Variational principle in plate problem

Lecture 16: Lec 15: Applications of Rayleigh-Ritz and Gallerkin's method

Lecture 17: Lec 16: Finite difference method in plate bending

Lecture 18: Lec 17: Plate subjected to inplane forces and transverse load

Lecture 19: Lec 18: Buckling load of rectangular plate plate with Navier's boundary condition

Lecture 20: Lec 19: Buckling load of rectangular with Levy's boundary condition

Lecture 21: Lec 20: Rayleigh-Ritz and Gallerkin method in buckling of plate

Lecture 22: Lec 21: Finite difference method in buckling of plate

Lecture 23: Lec 22: Introduction to shell structure and behavior of stretched membrane

Lecture 24: Lec 23: Classification of shell structure

Lecture 25: Lec 24: Stress resultants and couples in shells

Lecture 26: Lec 25: Membrane analysis of shells of surface of revolution

Lecture 27: Lec 26: Analysis of Spherical dome

Lecture 28: Lec 27: Some examples of axi-symmetrical cases in surface of revolution

Lecture 29: Lec 28: Membrane theory in pressure vessels

Lecture 30: Lec 29: Membrane theory in pressure vessel in the form a Torus and in a tank of arbitrary meridian

Lecture 31: Lec 30: Membrane theory of hyperboloid of revolution: Application to cooling tower

Lecture 32: Lec 31: Differential Equations of Equilibrium in Cylindrical shell using membrane hypothesis

Lecture 33: Lec 32: Membrane Analysis of Cylindrical Shell roof subjected to self weight and snow load

Lecture 34: Lec 33: Circular Cylindrical Shell for Fourier Loading in a membrane state of stress

Lecture 35: Lec 34: Simplified Bending Theory of Cylindrical Shell-Beam and Arch theories

Lecture 36: Lec 35: General bending theory of cylindrical shell

Lecture 37: Lec 36: Some applications of symmetrical bending of circular cylindrical shell