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Abstract

An analysis is given of a thin, constant-thickness, circular plate subjected to uniform lateral pressure. The plate is assumed to rest on an elastic foundation and to be elastically restrained at the edges against rotation and vertical deflection. The equations for the magnitude and location of the maximum stress in the plate were programmed for an electronic computer and curves obtained for both these quantities for various values of two dimensionless parameters. These curves are presented in the paper and it is shown how the optimum design of a constant-thickness circular plate can be quickly effected with their aid.

One interesting result of the analysis is that it is possible to design plates in which the maximum stress is between 25 and 50 per cent smaller than that in similar plates with simply supported ends. This possibility does not appear to have been appreciated before and its utilization has obvious economic advantages. Another result of interest is that the value of the dimensionless elastic rotational restraint parameter giving minimum thickness is almost a constant for most cases occurring in practice.

A brief discussion is also included of the application of the curves obtained for homogeneous plates to the design of perforated tube-plates.

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References

Gardner

K. A.

1948 J. appl. Mech., vol. 15, p. 377, ‘Heat-exchanger Tube-sheet Design’.

Gardner

K. A.

1952 J. appl. Mech., vol. 19, p. 159, ‘Heat-exchanger Tube-sheet Design—2, Fixed Tube Sheets’.

Miller

K. A. G.

1952–53 Proc. Instn mech. Engrs, Lond., vol. 1B, p. 215, ‘The Design of Tube-plates in Heatexchangers’.

Horvay

1951 Proc. First U.S. Nat. Congr. appl. Mech., p. 247, ‘Thermal Stresses in Perforated Plates’ (Amer. Soc. Mech. Engrs, New York).

Horvay

1956 General Electric Research Laboratory, Schenectady, N.Y., Report No. 56-RL-1611, ‘Stress Analysis of Perforated Plates’.

Malkin

1952 Trans. Amer. Soc. mech. Engrs, vol. 74, p. 387, ‘Notes on a Theoretical Basis for Design of Tube-sheets of Triangular Layout’.

Duncan

J. P.

1955 Proc. Instn mech. Engrs, Lond., vol. 169, p. 789, ‘The Structural Efficiency of Tube-plates for Heat-exchangers’.

Y. Y.

1956 J. appl. Mech., vol. 23, p. 468, ‘Rational Analysis of Heat-exchanger Tube Sheet Stresses’.

Y. Y.

1957 J. appl. Mech., vol. 24, p. 315. Discussion of (8) and author's reply. (10) Hetényi, M. 1955 ‘Beams on Elastic Foundation', p. 106, first edition (Univ. of Michigan Press, Ann Arbor, Michigan, U.S.A.). (11) Galletly, G. D. and Garbett, C. R. 1958 Industr. Engng Chem., vol. 50, p. 1227, ‘Pressure Vessels—Let the Tubes Support the Tube Sheet'. (12) Galletly, G. D. 1959 J. aero/Space Sci., vol. 26, p. 60, ‘Displacement and Rotation at the Junction of Two Cylinders of Unequal Thickness Due to Axisymmetric Loadings'.

Optimum Design of Thin Circular Plates on an Elastic Foundation

Abstract

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References