10) Practical solution of statically indeterminate Trusses.

Using Rotations to Obtain Compatibility Equations for Statically Indeterminate Trusses

This paper presents a new way of determining the compatibility conditions for statically indeterminate trusses. It is based on equations relating the angular displacements (rotations) of truss elements to the corresponding extensions obtained by requiring the displacements of the truss structure to be compatible, i.e., single valued. This new angular displacement method is likely to be most adv...

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

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 re...

Module2: Analysis of statically indeterminate structures by matrix force method

Practical Plastic Layout Optimization of Trusses Incorporating Stability Considerations

Frequently, the topologies generated using conventional discrete structural layout optimization methods may be shown to be in unstable equilibrium with the specified applied loading. Instability may occur due to the lack of lateral bracing at a node lying within a line of parallel compression members (or ‘chain’), or at the end of a compression member. In practice, this would typically lead eit...

Mathematica Applied to Evaluation of Influence Lines and Envelopes of Statically Indeterminate Beams

The paper presents an analytical method of finding functions of influence lines of statically indeterminate beams. There are presented solutions of a fourth order equation with a right hand side with second and third derivative of Dirac delta. There is shown that their solution are influence lines of moments and transverse forces. Moreover, thanks to Mathematica, analytical form of envelopes fu...