This paper presents the Mixed-Integer Non-linear Programming (MINLP) optimization approach to structural synthesis. Non-linear continuous/discrete non-convex problems of structural synthesis are proposed to be solved by means of simultaneous topology, parameter and standard dimension optimization.Part I of this three-part series of papers contains a general view of the MINLP approach to simultaneous topology and continuous parameter optimization. The MINLP optimization approach is performed through three steps. The first one includes the generation of a mechanical superstructure of different topology alternatives, the second one involves the development of an MINLP model formulation and the last one consists of a solution for the formulated MINLP problem. Some MINLP methods are also presented. A Modified OA/ER algorithm is applied to solve the MINLP problem and a simple example of a multiple cantilever beam is given to demonstrate the steps of the proposed MINLP optimization approach.As simultaneous optimization, extended to include also standard dimensions, requires additional effort, the development of suitable strategies to carry out the optimization is further discussed in Part II. The modelling of MINLP superstructures and the topology and parameter optimization of roller and sliding hydraulic steel gate structures are shown in Part

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This paper provides a parametric study of a composite T-section, composed of a concrete slab and a timber beam, strengthened at the bottom tension side with a carbon fibre reinforced polymer strip. The study is innovative in the field and the design of the beam on which the study is based was carried out in accordance with European standards for timber, steel and concrete structures and guidelines for fibre reinforced polymer materials. The carbon strip contribution to the bending resistance and stiffness of composite section is presented as a function of timber grade, timber beam depth and spacing between fasteners. The results show an increase of design load-bearing resistance in the range of 26–31% as well as increase of bending stiffness in the range of 18–29%. The importance of material grade variation and the influence of time-dependent effects on load-bearing resistance are emphasised.