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In this paper we present a general method to obtain the equivalent system for an arbitrary planar system of cylindrically jointed bar. The equivalent system is one for which the displacement of the origin (the point at which all bars are jointed) is equal to the displacement of the same point for the original system. It is proved that, in general, any system of bars fulfilling some additional conditions is equivalent to a system of two bars. This equivalence is valid only for small deformations of the system. An example highlights the theory.
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