PHYSICOMATHEMATICAL MODEL OF CALCULATING CONTINUOUS BEAMS WITH ELASTIC YIELDING SUPPORTS

Serik AKHMEDIYEV, Omirkhan Khabidolda, Nikolai Ivanovich Vatin, Raikhan Muratkhan, Kiyas Kutimov

Journal of Mathematics Mechanics and Computer Science, 2022

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DOI 10.26577/jmmcs.2022.v114.i2.06
Data confidence 85 high
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Abstract

In this work there has been studied the rod system operation dependence on the action ofexternal force effects. The system presents a multi-span continuous beam with elastic yieldingsupports. To identify the stress-strain state of the object under study, a precise analytical methodof forces is used. The method of five moments is used as the resolving (canonical) equations. Thefinal results are the parameters of the stress-strain state for a five-span continuous beam withvariable compliance coefficients on 5 intermediate supports and an absolutely rigid left extremesupport, deflections, bending moments, shear forces, and support reactions.Theoretical provisionsand practical results can be used in the design of load-bearing beam structures in buildings andvarious engineering structures.