Determination of Membrane Stresses in Elliptic Paraboloids Using Polynomials

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Title: Determination of Membrane Stresses in Elliptic Paraboloids Using Polynomials

Author(s): L. Fischer

Publication: Journal Proceedings

Volume: 57

Issue: 10

Appears on pages(s): 433-442

Keywords: none

Date: 10/1/1960

Abstract:
A mathematically simple method for determining the membrane stresses in an elliptic paraboloid is given. The differential equations of equilibrium are solved by the introduction of a polynomial representing the stress func- tion, the coefficients of which are easily determined. The membrane stresses are then readily found as derivatives of the stress function. A numerical example illustrates the use of this method.