Design Principles and Analysis of Thin Concrete Shells, Domes and Folders: 1st Edition (Hardback) book cover

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

1st Edition

By Iakov Iskhakov, Yuri Ribakov

CRC Press

182 pages | 9 Color Illus. | 73 B/W Illus.

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pub: 2015-11-16
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One of the main goals of a good and effective structural design is to decrease, as far as possible, the self-weight of structures, because they must carry the service load. This is especially important for reinforced concrete (RC) structures, as the self-weight of the material is substantial. For RC structures it is furthermore important that the whole structure or most of the structural elements are under compression with small eccentricities. Continuous spatial concrete structures satisfy the above-mentioned requirements. It is shown in this book that a span of a spatial structure is practically independent of its thickness and is a function of its geometry. It is also important to define which structure can be called a spatial one. Such a definition is given in the book and based on this definition, five types of spatial concrete structures were selected: translation shells with positive Gaussian curvature, long convex cylindrical shells, hyperbolic paraboloid shells, domes, and long folders.

To demonstrate the complex research, results of experimental, analytical, and numerical evaluation of a real RC dome are presented and discussed. The book is suitable for structural engineers, students, researchers and faculty members at universities.

Table of Contents


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


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


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


Appendix. List of symbols

About the Authors

Iskhakov\, Iakov; Ribakov\, Yuri

Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Life Sciences / General