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Some geometry of constant curvature surfaces

Published online by Cambridge University Press:  24 October 2008

P. G. Lowe  and
R. E. Melchers
P. G. Lowe
Affiliation:
Department of Engineering, Cambridge
R. E. Melchers
Affiliation:
Gutteridge, Haskins and Davey Pty. Ltd., Melbourne
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Extract

1. Introduction. The optimum design of plane reinforced concrete slabs frequently requires consideration of deflected shapes for the slab such that through every point there is at least one principal curvature (κ1) direction on the deflected surface which is a constant curvature direction. The most interesting cases are those where only one principal direction has this property.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 76 , Issue 3 , November 1974 , pp. 601 - 605
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

REFERENCES

(1)Rozvany, G. I. N., Hill, R. D. and Gangaharaiah, C.Internat. J. Mech. Sci. 15 (1973), 665–678.CrossRefGoogle Scholar
(2)Lowe, P. G. and Melchers, R. E.Internat. J. Mech. Sci. 16 (1964), 627–641.CrossRefGoogle Scholar