Abstract
Consider the element of the shell shown in figure 3-1(a), bounded by the normal sections α, α + dα, β, and β + dβ. The geometry of the middle surface of such an element was considered in chapter 2 (see figures 2-2 and 2-4). Here, we show the entire thickness h with the coordinate ζ defined in the direction of t n and depict a differential volume element dα dβ dζ with thickness dζ, parallel to and displaced from the middle surface a distance ζ.
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
Preview
Unable to display preview. Download preview PDF.
References
H. Kraus, Thin Elastic Shells ( New York: Wiley, 1967 ), p. 33.
V. Y. Novozhilov, Thin Shell Theory [translated from 2nd Russian ed. by P. G. Lowe (Groningen, The Netherlands: Noordhoff, 1964), pp. 34-39].
A. E. Green and W. Zerna, Theoretical Elasticity (Oxford; Oxford University Press, 1968 ).
S. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, 2nd ed. ( New York: McGraw-Hill, 1959 ).
W. Flügge, Stresses in Shells, 2nd ed. ( Berlin: Springer-Verlag, 1973 ).
Kraus, Thin Elastic Shells, pp. 58-65.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Gould, P.L. (1988). Equilibrium. In: Analysis of Shells and Plates. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3764-8_3
Download citation
DOI: https://doi.org/10.1007/978-1-4612-3764-8_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8340-9
Online ISBN: 978-1-4612-3764-8
eBook Packages: Springer Book Archive