Trusses are load-carrying light-weight structures consisting of bars connected at joints ubiquitously applied in a variety engineering scenarios. Designing optimal trusses that satisfy functional specifications with minimal amount material has interested both theoreticians and practitioners for more than century. In this paper, we introduce two main ideas to improve upon the state art. First, f...

Trusses are common structural elements in many industrial and civil buildings. The article describes the approach to planar trusses reliability analysis case of limited statistical data. proposed can be used when it is complicated determine a cumulative distribution function for design loads physical/mechanical properties material elements. method requires only estimates mathematical expectatio...

Structural optimisation currently relies heavily on methods based on discretisation. In simpler cases like the simulation of frames and trusses, where discretisation is not necessary, only the elongation or compression is considered and the joints are free, like ball and socket joints, in order to avoid bending the trusses. In this dissertation a discretisation free method for the modelling and...

This paper develops the concept of a contour of complete nonuniqueness and shows its application to the optimal design (optimal layout) of simple trusses transmitting a concentrated force to a presscribed, arbitrary foundation contour. As an example, a symmetric two-bar truss with compressed bars is considered, and the constraints refer to various kinds of elastic instability of the system.