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Spherical dome Analysis

Track :

Engineering

Lessons no : 37

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What will you learn in this course?

Master structural assessment techniques for spherical domes using advanced mathematical methods and engineering principles
Apply design principles to optimize spherical dome stability, durability, and aesthetic appeal in architectural projects
Utilize mathematical modeling to analyze stress distribution and load-bearing capacity of spherical domes
Evaluate material performance and selection for spherical dome construction to ensure safety and longevity

Implement computational tools for accurate analysis and simulation of spherical dome structures
Identify common structural issues in spherical domes and develop effective solutions for reinforcement and repair
Interpret architectural drawings and technical specifications related to spherical dome design and analysis
Integrate sustainable practices and innovative materials in the analysis and construction of spherical domes

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Lessons | 37

Plates and Shells Intro Video

Plates and Shells Intro Video

Lec 1 Introduction classification of plates and some useful relations

Lec 1 Introduction classification of plates and some useful relations

Lec 2 Theory of thin plate bending

Lec 2 Theory of thin plate bending

Lec 3 Plate equations and boundary conditions with examples

Lec 3 Plate equations and boundary conditions with examples

Lec 4 Exercises on the plate bending theory

Lec 4 Exercises on the plate bending theory

Lec 5 Simply supported plate subjected to distributed loading

Lec 5 Simply supported plate subjected to distributed loading

Lec 6 Simply supported plate subjected to concentrated load and couple

Lec 6 Simply supported plate subjected to concentrated load and couple

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

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

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

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

Lec 9 Levy s solution for different loading and boundary conditions

Lec 9 Levy s solution for different loading and boundary conditions

Lec 10 Rectangular plate with Levy s boundary condition subjected to edge moment

Lec 10 Rectangular plate with Levy s boundary condition subjected to edge moment

Lec 11 Transformation of plate equation from rectangular co ordinates to polar co ordinates

Lec 11 Transformation of plate equation from rectangular co ordinates to polar co ordinates

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

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

Lec 13 Examples in axisymmetrical bending of solid and annular plate

Lec 13 Examples in axisymmetrical bending of solid and annular plate

Lec 14 Variational principle in plate problem

Lec 14 Variational principle in plate problem

Lec 15 Applications of Rayleigh Ritz and Gallerkin s method

Lec 15 Applications of Rayleigh Ritz and Gallerkin s method

Lec 16 Finite difference method in plate bending

Lec 16 Finite difference method in plate bending

Lec 17 Plate subjected to inplane forces and transverse load

Lec 17 Plate subjected to inplane forces and transverse load

Lec 18 Buckling load of rectangular plate plate with Navier s boundary condition

Lec 18 Buckling load of rectangular plate plate with Navier s boundary condition

Lec 19 Buckling load of rectangular with Levy s boundary condition

Lec 19 Buckling load of rectangular with Levy s boundary condition

Lec 20 Rayleigh Ritz and Gallerkin method in buckling of plate

Lec 20 Rayleigh Ritz and Gallerkin method in buckling of plate

Lec 21 Finite difference method in buckling of plate

Lec 21 Finite difference method in buckling of plate

Lec 22 Introduction to shell structure and behavior of stretched membrane

Lec 22 Introduction to shell structure and behavior of stretched membrane

Lec 23 Classification of shell structure

Lec 23 Classification of shell structure

Lec 24 Stress resultants and couples in shells

Lec 24 Stress resultants and couples in shells

Lec 25 Membrane analysis of shells of surface of revolution

Lec 25 Membrane analysis of shells of surface of revolution

Lec 26 Analysis of Spherical dome

Lec 26 Analysis of Spherical dome

Lec 27 Some examples of axi symmetrical cases in surface of revolution

Lec 27 Some examples of axi symmetrical cases in surface of revolution

Lec 28 Membrane theory in pressure vessels

Lec 28 Membrane theory in pressure vessels

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

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

Lec 30 Membrane theory of hyperboloid of revolution Application to cooling tower

Lec 30 Membrane theory of hyperboloid of revolution Application to cooling tower

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

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

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

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

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

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

Lec 34 Simplified Bending Theory of Cylindrical Shell Beam and Arch theories

Lec 34 Simplified Bending Theory of Cylindrical Shell Beam and Arch theories

Lec 35 General bending theory of cylindrical shell

Lec 35 General bending theory of cylindrical shell

Lec 36 Some applications of symmetrical bending of circular cylindrical shell

Lec 36 Some applications of symmetrical bending of circular cylindrical shell

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Spherical dome Analysis course, in this course Explore the intricacies of analyzing spherical domes, covering design, structural assessment, and mathematical techniques.