Universal formulas for determining the design length of the cross lattice elements
Abstract
Universal formulas for determining the design length of the cross lattice elements
Incoming article date: 06.04.2021The process of finding the calculated lengths of the elements of a cross lattice using the displacement method in the case when both bars are not interrupted and when one of the bars is interrupted and overlapped by a gusset is considered. New formulas of the displacement method are proposed for finding the support reactions of an element having a spring fixation at one of the ends. A formula is proposed that allows you to determine the spring stiffness, with the help of which the operation of the connecting strip is simulated. A comparison is made of two calculation options: using the usual formulas of the displacement method and using the proposed new formulas. The calculation showed good convergence of the results with a significant simplification of the calculation process in the second case. A comparison of the calculated lengths obtained with the instructions of the current sets of rules is given. The possibility of adopting a more economical section when determining the calculated length by means of the displacement method is noted.
Keywords: estimated length, cross lattice, stability, critical force, truss