Optimization Of Timber Trusses
Considering Joint Flexibility
Author(s)
S. Šilih, M. Premrov & S. Kravanja
Abstract
This paper presents the optimization of metal-plate-connected plane timber
trusses with special emphasis on joint flexibility. The optimization is performed
by the non-linear programming approach. Since various truss design parameters
such as type of truss configuration, span/depth ratio, number and type of
diagonal and vertical members and type of joint connections simultaneously
affect each other, all of these parameters are proposed to be considered
simultaneously in a single mathematical model. The optimization model for cost
optimization of timber trusses was thus developed. The economic objective
function was defined to minimize the structure’s self-manufacturing costs,
subjected to the design, stress and deflection (in)equality constraints. The finite
element equations were as the equality constraints defined for the calculation of
the internal forces and the deflections of the structure. The stiffness matrix of the
structure was composed by considering the fictiously decreased cross-section
areas of all the flexible connected elements. Constraints for the dimensioning of
the timber members were determined in accordance with Eurocode 5 in order to
satisfy the requirements of both the ultimate and the serviceability limit states.
The cross-section dimensions and the number of fasteners were defined as
independent optimization variables. A numerical example demonstrates the
applicability of the presented approach.
1 Introduction
Timber construction is an important part of the infrastructure in a number of
areas around the world. Wood has proved to be quite a resilient material,
showing relatively high ductility and low density. In addition, the flexibility of
mechanical fasteners provides a high damping capacity between the connected
Keywords
Related Book
Other papers in this volume
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