Identification of Axial Forces on Statically Indeterminate Pin-Jointed Trusses by a Nondestructive Mechanical Test

Emilio Turco*
DADU, Università degli Studi di Sassari, 07041 Alghero, Sassari, Italia.

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© 2013 Emilio Turco;

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the DADU, Università degli Studi di Sassari, 07041 Alghero, Sassari, Italia; Tel: +390799720408; Fax: +390799720420; E-mail:


This work concerns the stress-state identification, produced by loads or dislocations, of statically indeterminate structures. In particular, this paper deals with the case of pin-jointed trusses, since they are a combination of simplicity of the structural model with very interesting technical applications. We present an approach that follows the main guidelines of the flexibility method to relate an additional load and the consequent nodal displacements. When a sufficient number of nodal displacements are measured, they produce a system of equations that when solved furnishes a complete reconstruc-tion of the stress-state to identify. In order to highlight the potentialities and the limits of the proposed approach and also to delineate its main characteristics, some simple tests are discussed and analyzed.

Keywords: Inverse problems, stress-state identification, nondestructive tests.