Instruments of Probabilistic Optimisation of Load Bearing Capacity and Reliability of Statically Indeterminate Complex Structures

Abstract

The paper presents the method of probabilistic optimisation of load bearing capacity and reliability of statically indeterminate bar structures, and of coupling of members in kinematically admissible failure mechanisms (KAFM), which contain minimal critical sets of elements (MCSE). The latter are characterised by the fact that if only a single element is operational, the whole set is operational too. A method of increasing load bearing capacity and reliability of KAFM built from bars dimensioned in accordance with the code is presented. The paper also shows estimation of load bearing capacity and reliability of KAFM of the optimised structures containing elastic-plastic bars with quasi-brittle connections with nodes. The necessity of increasing connection of load bearing capacity and reliability in relation to bar reliability in order to prevent bars from being excluded from MCSE due to connection fracture is estimated.

Shapes Of Energy-Active Segments Of Steel Buildings

“…2) Use of minimum 4 parallel couplings of the major structural elements in separated energy-active segments, acc. [34]. When minimum n=4 major decisive elements are coupled in parallel, capacity growth trend is observed [34] (3.1).…”

“…[34]. When minimum n=4 major decisive elements are coupled in parallel, capacity growth trend is observed [34] (3.1). The capacity takes on values that are higher than the design capacity stated in the code [39].…”

“…The results of investigations were presented at national [16][17][18][19][20][21][22][23][24][25][26] and international [27][28][29] conferences, in journals [30][31][32][33][34] and patents [35,36]. Presently, the investigations are carried out within the Subject Probabilistic optimisation of bar structures.…”

“…It is still necessary to develop means of summer TE surplus storage. Here, the optimisation of geometric topology of the structure is relevant [34].…”

“…The study shows a general concept of the design of energy-active segments, which are separated from conventional segments in the way that allows the equipment installation and replacement. Exemplary solutions for the design of energy-active segments, optimised with respect to the principle of minimum thermal strain and maximum structural capacity and reliability were given [34]. The following options of the building covers were considered: 1) regular structure, 2) reduced structure, 3) basket structure, 4) structure with a tie, high-pitched to allow snow sliding down the roof to enhance TE and EE obtainment.…”