Shape determining of loaded cable via total displacements

Abstract

Therefore stiffness conditions predominate in the actual codified cable design. Having identified governing factors conditioning displacement magnitudes one can introduce the constructional means/solutions assigned to reduce them if required. Therefore the evaluation of cable displacements by a reliable and sufficiently exact method compatible with the calculation of actual engineering structures is under current necessity. When analyzing total displacements the principle of superposition is employed in a special sequence. Total displacement is split into two components: kinematic and elastic. The first component represents cable form shaping the loading, the second one is conditioned by elastic deformations. Any point displacement of an asymmetrically loaded cable can be expressed via its middle span. The developed analytical expressions to evaluate middle span displacements are presented. They enable to identify maximal displacements and their locations. The developed analytical method for total displacements evaluation is tested numerically. The comparative analysis in respect of the influence of various parameters conditioning displacement magnitudes is performed. The displacement evaluation errors, their causality conditioned by the application of approximate- widely applied engineering methods, are discussed.

Kabamosios konstrukcijos yra labai efektyvios (ekonominiu atžvilgiu), kai naudojamos dideliems tarpatramiams perdengti. Jos gali būti sudarytos iš atskirų kabamųjų lynų arba jų sistemų. Palyginti su įprastiniais laikančiųjų konstrukcijų elementais, kabamojo lyno patrauklumą atskleidžia mažiausias santykis tarp jo laikomosios galios ir savojo svorio. Specifinė lyno savybė ta, kad jis gali dirbti tik tempimui (jis praktiškai neturi standumo lenkimui). Todėl lynas, veikiamas nepusiausvirosios apkrovos, keičia savo pradinę apybrėžą, kad prisitaikytų prie jos, sukeliančios tik tempimo įrąžą. [...].