Course Details
Subject {L-T-P / C} : CE6203 : Analysis and Design of Plates and Shells { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Shishir Kumar Sahu
Syllabus
Pure Bending of Plates: Slope & curvature of slightly bent plates, Relations between bending moments and curvature in pure bending of plates, Strain energy in Pure bending of plates.
Symmetrical bending of Circular plates: Differential equation for symmetrical bending of laterally loaded circular plates, uniformly loaded circular plates, Circular plates with circular hole at center, circular plate concentrically loaded.
Small deflections of laterally loaded plates : Differential equation of the deflection surface, Boundary conditions, Simply supported rectangular plates under sinusoidal load, Navier solution for simply supported rectangular plates, Further applications of the Navier solution, Alternate solution for simply supported and uniformly loaded rectangular plates, Concentrated load on simply supported rectangular plates.
Classification of shell structures, importance of membrane theory of shells,
Membrane theory of shells in the form of a surface of revolution and loaded un-symmetrically with respect to their axes, spherical dome, conical shells, cylindrical shells.
General theory of cylindrical shells: Circular cylindrical shell loaded symmetrically with respect to its axis, particular cases of symmetrical deformations of circular cylindrical shells, cylindrical tanks of uniform wall thickness.
Membrane theory of doubly curved shells using vector approach, Analysis of Elliptic paraboloid, hyperbolic parabolod and conoids using membrane theory.
Design of shell structures including spherical domes with/without lanterns at top, conical shells and other doubly curved shells etc.
Course Objectives
- Students will be able to analyse and design of rectangular and circular plates and cylindrical shell bending problems by different approaches.
- Students will be to analyse and design the cylindrical shells through membrane & bending theory.
- Students will be able to analyse and design of doubly curved shell structures including domes, hyperbolic, paraboloid, elliptic and conoidal shells.
Course Outcomes
To understand the analysis behaviour and design principles of plated and shell structures
Essential Reading
- 1. S. P. Timoshenko and Woinowsky-Kriegar, Theory of plates and shells, Mc Graw Hill International, New Delhi , .
- G. S. Ramaswamy, Design and construction of concrete shells Roofs, CBS Publishers, Delhi , .
Supplementary Reading
- D. P. Billington, Thin shell concrete structures, Mc Graw Hill international, New York , .
- W. T. Marshall, Design of cylindrical shell roofs, E& FN SPON, London , .
Journal and Conferences
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