JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Prerequisites

Theory of Elasticity, Structural Analysis

Course Objectives

To impart knowledge on the behavior and design of shells and Folded plates.

Course Outcomes

The learner will be able to analyse and design the shells and folded plates.

UNIT - I

Introduction: Space Curves, Surfaces, Shell Co-ordinates, Strain Displacement Relations, Assumptions in Shell Theory, Displacement Field Approximations, Stress Resultants, Equation of Equilibrium using Principle of Virtual Work, Boundary Conditions.

UNIT - II

Small Deflection Theory of Thin Rectangular Plates: Assumptions – Derivation of governing differential equation for thin plates – Boundary conditions – simply supported plate under sinusoidal load – Navier solution – Application to different cases – Levy’s solution for various boundary conditions subjected to different loadings like uniform and hydrostatic pressure.

UNIT - III

Circular Plates: Differential Equation for symmetrical bending of Laterally loaded circular Plates – Uniformly loaded circular plates –circular plate concentrically loaded – circular plate loaded at center

UNIT - IV

Shells – functional behaviour – examples – structural behaviour of shells classification of shells – Definitions – various methods of analysis of shells – merits and demerits of each method – 2D. Membrane equation. Equations of equilibrium: Derivation of stress resultants – cylindrical shells – Flugges simulations equations.

UNIT - V

Introduction to the shells of Double curvatures: Geometry, analysis and design of elliptic paraboloid, conoid and hyperbolic parabolic shapes, inverted umbrella type.

Axi- Symmetrical shells: General equation - Analysis and axi-symmetrical by membrane theory. Application to spherical shell and hyperboloid of revolution cooling towers.

REFERENCES:

• 1. Theory of Plates & Shells –Stephen, P. Timoshenko, S. Woinowsky-Krieger – Tata MC Graw Hill Edition
• 2. Analysis and design of concrete shell roofs By G.S. Ramaswami. CBS publications.
• 3. Design of concrete shell roofs By Billington – Tata MC Graw Hill, New York
• 4. Shell Analysis By N.K. Bairagi. Khanna Publishers, New Delhi.
• 5. Design of Shells and Folded Plates by P.C. Varghese, PHI Learning Pvt. Ltd
• 6. Design of concrete shell roofs By Chaterjee. Oxford and IBH., R19 M.TECH STRUCTURAL ENGG. M.TECH.- I YEAR- I SEMESTER STRUCTURAL ENGINEERING