Abstract:
Truss optimisation plays a vital role in the design and analysis of various engineering
structures, ranging from bridges to aerospace applications. Over the years, researchers have
proposed numerous numerical methods to achieve optimal truss configurations, considering
factors such as weight minimisation, stiffness maximisation, and cost efficiency. However,
despite the significant progress in the field, the absence of universally accepted standards for
determining the optimum truss solution remains a challenge. This paper presents a novel
methodology for optimising steel trusses using Euro-code standards as a reference framework
specifically focusing on pin-jointed truss systems. The proposed methodology aims to combine
numerical optimisation algorithms with the relevant design provisions outlined in Euro-code,
ensuring compliance with structural integrity and safety criteria.
The process involves a Python script for convex optimisation and the numerical optimisation
algorithm employs an adaptive member-adding solution scheme which provides a
computationally efficient means of generating near-optimum trusses for the problems. The
objective function of the optimisation algorithm is to minimise the total structural volume of
the truss and the process satisfies the force equilibrium at each node of the truss as well as
limiting stress criteria as defined in the Euro-code.
The research provides a thorough overview of the relevant Eurocode provisions that pertain to
steel trusses. Initially, the optimisation studies employ a method to handle layout and geometry
optimisation simultaneously to determine the optimal layout of the truss structures, taking into
account practical and manufacturing constraints. Then, the methodology progresses to size
optimisation which involves optimising the member cross-sections to enhance their stiffness
and overall structural performance. Finally, the use of commercially available steel sections for
the construction of optimised trusses is assessed to avoid financial challenges due to the high
costs associated with additive manufacturing technologies within the context of Sri Lanka. To
ensure the scientific robustness and practical applicability of the proposed methodology,
rigorous examinations are conducted using practical examples.