DEFINITION OF ELASTIC CENTER IN STATICALLY INDETERMINATE STRUCTURES

Module2: Analysis of statically indeterminate structures by matrix force method

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...

Computing repetitive structures in indeterminate strings

We study the problem of finding local and global covers and repetitive structures called seeds in indeterminate strings. An indeterminate string is a sequence X̃ = X̃[1]X̃ [2] . . . X̃[n], where X̃[i] ⊆ Σ for each i, and Σ is a given alphabet of fixed size. We present an algorithm for finding the smallest cover of the string x in O(nlogn) time, where n is the length of the string n. Then we extend t...

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...

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...