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A Two-Stage Method for an Approximate Calculation of Statically Indeterminate Trusses



Author(s)

Janusz Rębielak

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DOI:10.17265/1934-7359/2014.05.005

Faculty of Architecture, Cracow University of Technology, Kraków 31-155, Poland

The paper presents the principles of a method, which in two simple stages makes possible to carry out the statically calculation of values of forces acting in the flat static indeterminate trusses. In each stage, it is considered the static determinate truss, scheme of which is obtained after remove the suitable number of members from the basic static indeterminate truss. The both intermediate statically determinate trusses are of the same clear span and they are loaded by forces of half values applied to the corresponding truss nodes. The method applies one of the typical procedures of calculation of the statically determinate trusses and then it is applied in an appropriate way the rule of superposition for obtaining the final values of forces acting in particular members of the basic truss. The values of forces calculated in this way are of a very close approximation to the force values determined in the special and complex ways being considered as the exact calculation methods. The proposed method can be useful mostly but not only for the initial structural design of such systems. The simplicity of the two-stage method justifies an assumption that it can be relatively easy and worthy to adjust to the requirements of the computer aided technology of statically calculation of the complex forms of trusses.

Method of static calculation, truss structure, static indeterminate truss, static determinate truss, rule of superposition.