Analytical Solutions for Pretensioned Cable Nets

by H. Max Irvine, Lect.; Dept. of Civ. Engrg., Univ. of Auckland, Auckland, New Zealand,

Serial Information: Journal of the Engineering Mechanics Division, 1976, Vol. 102, Issue 1, Pg. 43-57

Document Type: Journal Paper


Analytical solutions, accurate to the second order of small quantities, are presented for the static response of certain simple cable networks to uniformly distributed applied load. The actual discrete network is replaced by an equivalent membrane. The governing membrane equations are difficult to solve directly without the aid of the digital computer. However, simple yet accurate analytical solutions can be derived by a rearrangement of these governing equations. Solutions in dimensionless form are given for the rectangular membrane, a hyperbolic paraboloidal membrane, the equilateral triangular membrane, and the elliptical membrane. An analysis is given of the onset of geometric nonlinear behavior and of the characteristic parameters on which dynamic similitude depends. Particular attention is paid to the distributions of additional tension in the membranes. Good agreement is found between the theory and some experimental results of others for a square network.

Subject Headings: Cables | Membranes | Pretensioning | Network analysis | Load distribution | Static loads | Load factors | Computer aided operations

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