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Abstract

Based on certain limiting assumptions a general solution in matrix form is given for the self-equilibrated loads caused by discontinuity at the junction of axi-symmetric shells.

Formulae and computation forms are given for the practical derivation of quantities defining local bending of cylindrical, spherical and conical shells and the components of their membrane displacements under several standard types of loading.

Derivation of some formulae is indicated and a numerical example illustrating the use of the method is included.

In the discussion this particular ‘computation procedure’ approach to calculation of shells is compared with ‘explicit formula’ approach and the influence of normally neglected membrane rotations is assessed.

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References

Timoshenko

1940 ‘Theory of Plates and Shells’ (McGraw-Hill Book Co., New York and London).

Jahnke

Emde

1945 ‘Tables of Functions with Formulae and Curves’ (Dover Publications, New York).

Huber

M. T.

1954 ‘Teoria Sprezystości’ cz II. (Theory of Elasticity part II) (in Polish) (P.W.N., Warszawa).

Hicks

1958 Proc. Instn mech. Engrs, Lond., vol. 172, p. 707.

Roark

1954 ‘Formulas for Stress and Strain’ (McGraw-Hill Book Co., New York and London).

Dubbel

1953 ‘Taschenbuch für den Maschinenbau’ parts I and II (Springer, Berlin).

Fessler

Rose

R. T.

1957 Proc. Instn mech. Engrs, Lond., vol. 171, p. 633, ‘Photo-elastic Investigation of Stresses in the Heads of Thick Pressure-vessels’.

Elastic Interactions at the Junction of an Assembly of Axi-Symmetric Shells

Abstract

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References