Integral and differential relations for internal power factors in the bending of the bar with a curved flat axis of an arbitrary shape

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dc.contributor.authorKovalchuk, S. B.
dc.contributor.authorGoryk, O. V.
dc.contributor.authorКовальчук, Станіслав Богданович
dc.contributor.authorГорик, Олексій Володимирович
dc.date.accessioned2018-05-11T09:39:56Z
dc.date.available2018-05-11T09:39:56Z
dc.date.issued2018-03
dc.description.abstractThe work is dedicated to the theoretical study of internal power factors in a curved bar with a flat axis of an arbitrary shape, that is in a plane bending condition by a surface load of an arbitrary type. The natural curvilinear cylindrical orthogonal coordinates associated with the structure of the bar and given by the characteristics of families of coordinate surfaces and Lame coefficients is used to describe the geometry of the bar and also the load distribution. The analysis of the equilibrium conditions of the elementary section of the bar made it possible to obtain integral relations between internal power factors and loads distributed on its longitudinal and end surfaces. The relations obtained were used to derive differential dependencies between internal power factors, that express the equilibrium conditions for the elementary section of a curved bar. Also, based on the equilibrium conditions of the bar cross-sections, integral relations between internal power factors and the stress state components were obtained. The presented integral and differential relations have a general form, invariant to the shape of the axis of the bar and allow to make a direct connection between loads and stresses. The results of the work can be used to solve theoretical and applied problems of a plane bending of curvilinear homogeneous and inhomogeneous bars with different types and combinations of external load.uk_UA
dc.identifier.issn2415-377Х
dc.identifier.urihttps://dspace.pdau.edu.ua/handle/123456789/628
dc.language.isouk_UAuk_UA
dc.publisherOdessa State Academy of Civil Engineering and Architectureuk_UA
dc.relation.ispartofseriesBulletin of Odessa State Academy of Civil Engineering and Architecture;Issue 70
dc.subjectcurvilinear baruk_UA
dc.subjectplane bendinguk_UA
dc.subjectinternal power factorsuk_UA
dc.subjectintegral relationsuk_UA
dc.subjectdifferential dependenciesuk_UA
dc.subjectnatural coordinatesuk_UA
dc.subjectкриволінійний брусuk_UA
dc.subjectплоский згинuk_UA
dc.subjectвнутрішні силові факториuk_UA
dc.subjectінтегральні співвідношенняuk_UA
dc.subjectдиференціальні залежностіuk_UA
dc.subjectприродна система координатuk_UA
dc.subjectкриволинейный брусuk_UA
dc.subjectплоский изгибuk_UA
dc.subjectвнутренние силовые факторыuk_UA
dc.subjectинтегральные соотношенияuk_UA
dc.subjectдифференциальные зависимостиuk_UA
dc.subjectестественная система координатuk_UA
dc.titleIntegral and differential relations for internal power factors in the bending of the bar with a curved flat axis of an arbitrary shapeuk_UA
dc.title.alternativeІнтегральні та диференціальні співвідношення для внутрішніх силових факторів при згині бруса з криволінійною плоскою віссю довільної формиuk_UA
dc.title.alternativeИнтегральные и дифференциальные соотношения для внутренних силовых факторов при изгибе бруса с криволинейной плоской осью произвольной формыuk_UA
dc.typeArticleuk_UA
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