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A stress function for 3D frames

McRobie, FA and Williams, CJK (2017) A stress function for 3D frames. International Journal of Solids and Structures, 117. pp. 101-110.

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This paper generalises Rankine diagrams for 3D trusses to be applicable to 3D frames. Rankine diagrams are a graphical representation of a state of self-stress in a 3D truss, with the area of reciprocal polygons representing the axial force in their corresponding original bars. Rankine diagrams are a polyhedral version of the continuous Maxwell-Rankine stress function. In this paper we present a new stress function. It is piecewise linear and discontinuous and it allows the analysis of 3D frames, giving all six stress resultants of axial and shear forces and bending and torsional moments in any member. A succinct statement of the stress function is given in terms of Clifford Algebra.

Item Type: Article
Divisions: Div D > Structures
Depositing User: Cron Job
Date Deposited: 06 Sep 2017 20:06
Last Modified: 18 Feb 2021 14:41
DOI: 10.1016/j.ijsolstr.2017.03.034