4.4 Article

Limit analysis of strut nets

Journal

MATHEMATICS AND MECHANICS OF SOLIDS
Volume 28, Issue 8, Pages 1760-1775

Publisher

SAGE PUBLICATIONS LTD
DOI: 10.1177/10812865221136814

Keywords

Force networks; strut nets; no-tension response; limit analysis; Airy stress function

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This study generalizes previous research on tension cable networks and compression support grids, and applies them to the design of masonry structures and spider web-inspired structures.
Truss structures composed of members that work exclusively in tension or in compression appear in several problems of science and engineering, e.g., in the study of the resisting mechanisms of masonry structures, as well as in the design of spider web-inspired web structures. This work generalizes previous results on the existence of cable webs that are able to support assigned sets of nodal forces under tension. We extend such a problem to the limit analysis of compression-only strut nets subjected to fixed and variable nodal loads. These systems provide discrete element models of masonry bodies, which lie inside the polygon/polyhedron with vertices at the points of application of the given forces (underlying masonry structures). It is assumed that fixed nodal forces are combined with variable forces growing proportionally to a scalar multiplier (load multiplier), and that the supporting strut net is subjected to kinematic constraints at given nodal positions.

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