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
DOI:
10.14359/8029
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.