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Shell Structures in Civil and Mechanical Engineering comprehensively covers the theories governing the membrane and bending behaviour of thin elastic shells. It applies these theories to obtain practical solutions for a wide variety of shell structures encountered in the civil and mechanical engineering disciplines.
Shell Structures in Civil and Mechanical Engineering comprehensively covers the theories governing the membrane and bending behaviour of thin elastic shells. It applies these theories to obtain practical solutions for a wide variety of shell structures encountered in the civil and mechanical engineering disciplines. Through a detailed examination of the mathematical solutions, the treatment reveals important insights on the mechanics of the shell, allowing the designer to make more informed choices.
Shell Structures in Civil and Mechanical Engineering:
• presents a thorough discussion of the applicability and limitations of the membrane hypothesis in the context of the more general bending theory of shells
• develops the membrane and bending theories of shells, and presents a wealth of closed-form mathematical results for a wide range of shell structures, including junction problems
• includes design considerations and parametric findings for domes, shell roofs, cooling towers, pressure vessels, tanks, new shell forms for liquid containment and novel multi-shell assemblies
• presents the fundamentals of shell buckling and of finite element modelling of shells.
This new edition is intended for civil and structural engineers involved with the design of domes, architectural shell roofs, industrial barrel roofs, cooling towers, silos, elevated water reservoirs, liquid-containment structures at water treatment works, egg-shaped sludge digesters, oil-storage tanks, chemical storage vessels, and pipelines for water, oil and gas.
It will also be of interest to mechanical and industrial engineers involved with the design of pressure vessels, boilers, nuclear containment vessels and associated piping. The rigorous derivation of theory and inclusion of new findings will appeal to researchers and postgraduate students in these fields.
Preface
01 Introduction
1.1 Overview of shell applications
1.2.Shell action in relation to beam, arch and plate actions
1.3.Thin-shell theories in relation to more general theories
1.4.Historical developments in linear shell theory and analytical solutions
1.5.General aspects of the membrane theory of shells
References
02 Membrane theory of shells of revolution
2.1.General shells of revolution under axisymmetric loading
2.2.Special cases of axisymmetric shells of revolution of zero Gaussian curvature
2.3.General shells of revolution under non-axisymmetric loading
2.4.Deformations in axisymmetrically loaded shells of revolution
03 Membrane solutions for various shells of revolution under axisymmetric loading
3.1.Pressure vessels
3.2.Elevated liquid-filled vessels
3.3.Roofs and domes
3.4.Cooling towers
References
04 Membrane solutions for shells of revolution under non-axisymmetric loading
4.1.Spherical shell
4.2.Conical shell
05 Axisymmetric bending of cylindrical shells
5.1.Introduction
5.2 Derivation of the governing equation
5.3.General solution
5.4.The case of a long cylinder
5.5.The case of a short cylinder
5.6.Practical applications
References
06 Axisymmetric bending of general shells of revolution
6.1.Introduction
6.2.Derivation of the governing differential equations
6.3.Practical solutions for the spherical shell
6.4.Practical solutions for the conical shell
6.5.Approximate solutions for general shells of revolution
References
07 Flexibility analysis of shell-ring systems and multi-shell assemblies
7.1.Pressure vessels
7.2.Intze tanks
7.3.Domes with edge ring beams
7.4.Multi-segmented spherical vessels
References
08 Parametric studies of liquid-containment shells of revolution and roof domes
8.1.Elevated liquid-filled spherical vessels
8.2.Egg-shaped sludge digesters
8.3.Spherical domes and caps
References
09. Membrane theory and solutions for general cylinders
9.1.Definition
9.2.Governing equations and general solution
9.3.Boundary conditions
9.4.Solutions for horizontal circumferentially closed cylindrical vessels filled with liquid
9.5.Solutions for horizontal troughs filled with liquid
9.6.Solutions for barrel roofs
9.7.Bending considerations for barrel roofs
References
10 Membrane theory and solutions for shells of arbitrary shape
10.1.Governing equations
10.2.Solution approach based on a stress function
10.3.Application to shell-roof problems
References
11 Buckling of shells
11.1.Introduction
11.2.Cylindrical shells
11.3.Results for other shells
References
12.Finite element analysis of shells
12.1.Introduction
12.2.A simple formulation for shells of revolution
12.3.General procedure for stress analysis
12.4.General formulation for dynamic analysis
12.5.General formulation for stability problems
12.6.Flat shell elements
12.7.Isoparametric finite elements
12.8.Concluding remarks
References
13.Design considerations for shell structures
13.1.Introduction
13.2.Steel shells
13.3.Concrete shells
References
Author
Subject index
