Dauguma mašinų ir mechanizmų detalių eksploatacijos metu veikiamos lenkimu. Esant trumpalaikėms perkrovoms, ypatingai įrengimų paleidimo ir stabdymo metu, šiose detalėse gali atsirasti tampriai plastinis įtempių - deformacijų būvis. Kadangi tokios perkrovos dažniausiai periodiškai kartojasi, detalės ar jų atskiri elementai patiria ciklinį tampriai plastinį deformavimą, kuris gali baigtis suirimu. Šiame darbe pateikiamas skritulinio skerspjūvio strypo statinio tampriai plastinio grynojo lenkimo analitinių priklausomybių, naudojant laipsninę įtempių-deformacijų kreivės plastinės dalies aproksimaciją, išvedimas. Gautos priklausomybės įvertina mechaninių medžiagos charakteristikų skirtumus tempimo ir gniuždymo atveju, jos gali būti naudojamos apskaičiuojant įtempių neutraliojo sluoksnio padėties pokyčiams deformavimo metu bei nustatant lenkimo momento ir didžiausios strypo deformacijos priklausomybę. Pateiktos priklausomybės gali būti pritaikytos ir cikliniam tampriai plastinio grynojo lenkimo analitiniam tyrimui. / In real condition a great majority of machines and structure elements are subjected to bending. Occasionally, such an element can be overloaded and its stress strain state exceeds the proportional limit. That’s why the study of elastic-plastic bending has a wide engineering science background and a very broad field of application. This work presents analytical research of circular cross-section element under pure bending. The simple power relation of stress and strain response in the region of plastic deformation is used. The relationships describing non-dimensional deviation of the stress neutral axis from symmetry axis of an element and non-dimensional monotonic bending moment are presented. Results of theoretical analysis are compared with experimental date. Derived relationships can be also fitted to analysis of circular cross-section element loaded by low cycle pure bending.

In real conditions, a great majority of machine and structure elements and parts (shafts, pins, axis, etc.) are subjected to bending. That’s why the study of elastic plastic bending has a wide engineering science background and a very broad field of application. This work presents analytical research of elastic plastic pure bending of rectangular cross-section element. The simple power relation expresses stress strain curve in the region of uniform plastic deformation. Derived mathematical relations allow to calculate deviation of dimensionless stress neutral axis from symmetry axis of an element and dimensionless pure bending moment versus monotonic strain. Theoretical curves for different material constants are drawn. Theoretical curves of dimensionless pure bending moment give tolerable coincidence with experimental date. Derived relationships can be also fitted to analysis of rectangular cross-section element loaded by low cycle pure bending.