Module 1
Plates- Introduction- classification of plates- thin plates and thick plates – small deflection theory and large deflection theory – basic concepts of two imensional theory of elasticity – fourth order differential equation for generalized bending problems (derivation in next module)
Plates- Introduction- classification of plates- thin plates and thick plates – small deflection theory and large deflection theory – basic concepts of two imensional theory of elasticity – fourth order differential equation for generalized bending problems (derivation in next module)
Module 2
Pure bending of plates – slope and curvature of slightly bent plates – relation between bending moment and curvature in pure bending – stresses – variation– plates subjected to lateral loadings -small deflection theory of thin plates – Love- Kirchhoff’s theory – assumptions– derivation of fourth order differential equation
Pure bending of plates – slope and curvature of slightly bent plates – relation between bending moment and curvature in pure bending – stresses – variation– plates subjected to lateral loadings -small deflection theory of thin plates – Love- Kirchhoff’s theory – assumptions– derivation of fourth order differential equation
Module 3
Solution techniques for fourth order differential equation – boundary conditions – simply supported, built- in and free edge – Navier’s solution for simply supported rectangular plates – uniformly distributed and concentrated load.
Solution techniques for fourth order differential equation – boundary conditions – simply supported, built- in and free edge – Navier’s solution for simply supported rectangular plates – uniformly distributed and concentrated load.
Module 4
Strain energy – pure bending of plate – bending of plates by lateral loads – Mindlin’s theory – assumptions – equilibrium equations – stress variations – comparative study with Love- Kirchhoff’s equations.
Strain energy – pure bending of plate – bending of plates by lateral loads – Mindlin’s theory – assumptions – equilibrium equations – stress variations – comparative study with Love- Kirchhoff’s equations.
Module 5
Circular plates – polar coordinates – differential equation of symmetrical bending of laterally loaded circular plates- uniformly loaded circular plates – circular plates loaded at the centre
Circular plates – polar coordinates – differential equation of symmetrical bending of laterally loaded circular plates- uniformly loaded circular plates – circular plates loaded at the centre
References
Lloyd Hamilton Donnell, Beams, plates and shells, Mc Graw Hill, NewYork.
Timoshenko, W Krieger, Theory of plates and shells, Mc Graw Hill.
Owen F Hughes, Ship structural design, John Wiley & Sons, New York, 1983.
William Muckle, Strength of ship structures, Edqward Arnold Ltd, London, 1967.
Timoshenko, W Krieger, Theory of plates and shells, Mc Graw Hill.
Owen F Hughes, Ship structural design, John Wiley & Sons, New York, 1983.
William Muckle, Strength of ship structures, Edqward Arnold Ltd, London, 1967.
mg university b.tech s7 civil syllabus