PHYSICOMATHEMATICAL MODEL OF CALCULATING CONTINUOUS BEAMS WITH ELASTIC YIELDING SUPPORTS

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.

Keywords

• continuous beams
• support
• vertical displacements of beam nodes
• compliance coefficient
• force method
• equations of five moments
• deflection diagrams