Abstract
The paper presents examples of approximate calculations of force values in members of selected types of trusses, which are at the same time an internal and external statically indeterminate systems. The two-stage method makes possible the approximate calculation of such trusses by help of, for example, the Cremona’s method. In each stage, a statically determinate truss is considered, pattern of which is defined by removing from the basic truss a suitable number of members. There are also presented results of calculations of the same trusses done by means of suitable computer software together with analyses and comparison of outcomes.
Highlights
The values of forces in members of the statically indeterminate trusses have to be determined by a suitable computational method, which among others takes into consideration the stiffness differences between members connected to the truss nodes
The two-stage method is an approximate method of calculation of the statically indeterminate trusses because in both stages it applies the rules, which are appropriate for the calculation procedures of the statically determinate trusses
The degree of approximation of the obtained force values to the values of forces defined by means of the exact methods in general is good enough when the two-stage method is applied for calculation of the inner indeterminate trusses
Summary
The values of forces in members of the statically indeterminate trusses have to be determined by a suitable computational method, which among others takes into consideration the stiffness differences between members connected to the truss nodes For this purposes are applied such methods like for instance, the force method, the displacement method, the iteration methods like the method of successive approximations, and the finite elements method, etc. The point of the two-stage method is to carry out static calculations in two independent stages for statically determinate trusses, shapes of which are determined by removing from area of the basic truss the number of members equal to its statically indeterminacy [Rebielak (2018a,b)] In each stage it is considered an appropriate statically determinate truss, values of forces in its members can be calculated by means of, for example, the Cremona’s method. It is one of the approximate methods of calculation of the statically indeterminate systems [Tan et al (2018)]
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