Abstract
This chapter develops the membrane and deformation theories of circular domes for various loading conditions such as uniform vertical, horizontal, and pressure loading, assuming the base is unrestrained. The theory for the boundary effects is also developed for fixed and pinned supports. To solve for the effects of boundary conditions, compatibility equations are formulated to solve the base reactions, which, in turn, are used to distribute the stresses in the dome. The membrane and boundary solutions are then superimposed to solve for the stresses, bending moments, and shears at any point in the shell. Theories for loads applied to skylight openings and ring tensions at the base are also developed. The mathematical derivation is fully developed for both membrane and boundary theories.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Billington, D. P., 1982. Thin Shell Concrete Structures. 2 ed. New York: McGraw-Hill.
Chatterjee, B. K., 1971. Theory and Design of Concrete Structures. Calcutta: Oxford and IBH Publishing Co.
Flugge, W., 1960. Stresses in Shells. Berlin: Springer-Verag.
Higdon, A., Ohlsen, E. H., Stiles, W. B. & Weese, J. A., 1976. Mechanics of Materials. New York: John Wiley and Sons.
Roy, R., 2004. Fibre Reinforced Shotcrete Domes, MSc thesis. Johannesburg: University of the Witwatersrand.
Szilard, R., 1974. Theory and Analysis of Plates. New Jersey: Prentice-Hall..
Timoshenko, S., 1959. Theory of Plates and Shells. 2 ed. New York: McGraw-Hill Book Co..
Torroja, E., 1958. Philosophy of Structures. London: Cambridge University Press.
Wilson, A., 2005. Practical Design of Concrete Shells. Texas: Monolithic Dome Institute.
Wood, R. H., 1961. Plastic and Elastic Design of Slabs and Plates. London: Thames and Hudson.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Gohnert, M. (2022). Circular Domes. In: Shell Structures. Springer, Cham. https://doi.org/10.1007/978-3-030-84807-1_4
Download citation
DOI: https://doi.org/10.1007/978-3-030-84807-1_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-84806-4
Online ISBN: 978-3-030-84807-1
eBook Packages: EngineeringEngineering (R0)