Design Principles and Analysis of Thin Concrete Shells, Domes and Folders

Introduction General concepts of differential geometry and surface theory Main concepts of differential geometry Concepts in the theory of surfaces Surface curvature Numerical examples in geometry of shells Structural principles in design of spatial concrete structures General Reinforcement schemes in shells and folders Elements of elastic shells' theory Internal forces and deformations of thin-walled shells Equilibrium equations of the shell element Convex translation shells Reinforced concrete shells with steel trusses Calculation of internal membrane forces in shallow rectangular shells Numerical examples for translation shells Long convex cylindrical shells Reinforced concrete shell structures Calculation of internal forces in a long cylindrical shell Calculating a long cylindrical shell as a simple supported beam Numerical examples for calculating long cylindrical shells Hyperbolic paraboloid shells Saddle shells Hyperbolic shells Numerical examples for hypars Shells of revolution - domes World-famous dome structures Statically determined spherical shells A dome with elastic support along its perimeter Numerical examples for domes Experimental, analytical and numerical investigations of a full-scale RC dome under vertical vibrations General Analytical investigation of long span shells due to out of phase supports' vibrations Vibration testing of the RC dome Analytical investigation of RC domes vertical vibrations Finite elements analysis of the dome natural vibration period Long reinforced concrete folders Constructive requirements The folder action in the long direction Considering the folder plates flexibility References Appendix. List of symbols