Abstract
The limits of the applicability of the Saint-Venant principle are investigated while using the LIRA-CAD app. A large number of bars loaded at the end with different loads are considered. A graph of the distribution of the zones of influence of the Saint-Venant principle is plotted, depending on the size of the bars. It can be concluded that the stress-strain state near the perturbation zones can be represented by three components, two of which are linear, and the third is self-balanced in force and moment.
Highlights
One formulation of the Saint-Venant principle allows us to assume that the stress-strain state of the bar depends on the mode of load applications only near the load placement location [1]
An error of 5% with the results obtained from the material resistance formula V = F/A is indicated for the section 5 at a distance of 92 cm from the application point
Loading: 1 - Central extension by force F. 2 - Tension by two forces F/2. 3 - Bending by a pair of forces F of the opposite direction. 4 - Bending by two forces F/2
Summary
One formulation of the Saint-Venant principle allows us to assume that the stress-strain state of the bar depends on the mode of load applications only near the load placement location [1]. Calculations were carried out with various grids on the LIRA-CAD software complex
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