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Modeling of internal efforts in the beam with moving load in MathCAD system

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Published under licence by IOP Publishing Ltd
, , Citation Y Kudryavtsev and A Gavrilenko 2019 IOP Conf. Ser.: Mater. Sci. Eng. 698 022081 DOI 10.1088/1757-899X/698/2/022081

1757-899X/698/2/022081

Abstract

The article describes the processes of analytical, numerical and computer modeling of the internal forces in any beam section, depending on the location of the moving load. Such calculations are quite laborious and are widely used for the calculation of many structures under the influence of moving loads (beams and trusses of bridge and gantry cranes, road and railway bridges, etc.). As a result of the study, a complex has been developed: analytical models, numerical and computer algorithms and programs that allow to effectively determine the internal forces in any beam section depending on the location of the moving load. The proposed procedures for modeling internal forces in any cross section of a beam under the action of a moving load can reduce the time and cost of performing such studies by several orders of magnitude and effectively conduct the research when the beam parameters change, including the materials from which the beam will be made.

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10.1088/1757-899X/698/2/022081