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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="other" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Structural Mechanics of Engineering Constructions and Buildings</journal-id><journal-title-group><journal-title xml:lang="en">Structural Mechanics of Engineering Constructions and Buildings</journal-title><trans-title-group xml:lang="ru"><trans-title>Строительная механика инженерных конструкций и сооружений</trans-title></trans-title-group></journal-title-group><issn publication-format="print">1815-5235</issn><issn publication-format="electronic">2587-8700</issn><publisher><publisher-name xml:lang="en">Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">11091</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject></subject></subj-group></article-categories><title-group><article-title xml:lang="en">THE DECISION OF PHYSICALLY NONLINEAR FLAT PROBLEM OF THE THEORY OF ELASTICITY AND ITS APPLICATION TO CALCULATION OF THE BEAMS CONTACTING WITH BED</article-title><trans-title-group xml:lang="ru"><trans-title>РЕШЕНИЕ ФИЗИЧЕСКИ НЕЛИНЕЙНОЙ ПЛОСКОЙ ЗАДАЧИ ТЕОРИИ УПРУГОСТИ И ЕЕ ПРИЛОЖЕНИЕ К РАСЧЕТУ БАЛОК, КОНТАКТИРУЮЩИХ СО СРЕДОЙ</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Ivanov</surname><given-names>S P</given-names></name><name xml:lang="ru"><surname>ИВАНОВ</surname><given-names>Сергей Павлович</given-names></name></name-alternatives><bio xml:lang="ru">д-р. техн. наук, профессор; Марийский государственный технический университет</bio><email>-</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>AKhMETShIN</surname><given-names>M N</given-names></name><name xml:lang="ru"><surname>АХМЕТШИН</surname><given-names>М Н</given-names></name></name-alternatives><bio xml:lang="ru">аспирант; Марийский государственный технический университет</bio><email>-</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name><surname>Akhmetshin</surname><given-names>M N</given-names></name><email>-</email><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en"></institution></aff><aff><institution xml:lang="ru">Марийский государственный технический университет</institution></aff></aff-alternatives><aff id="aff2"><institution></institution></aff><pub-date date-type="pub" iso-8601-date="2012-02-15" publication-format="electronic"><day>15</day><month>02</month><year>2012</year></pub-date><issue>2</issue><issue-title xml:lang="en">NO2 (2012)</issue-title><issue-title xml:lang="ru">№2 (2012)</issue-title><fpage>33</fpage><lpage>36</lpage><history><date date-type="received" iso-8601-date="2016-09-12"><day>12</day><month>09</month><year>2016</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2016, Structural Mechanics of Engineering Constructions and Buildings</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2016, Строительная механика инженерных конструкций и сооружений</copyright-statement><copyright-year>2016</copyright-year><copyright-holder xml:lang="en">Structural Mechanics of Engineering Constructions and Buildings</copyright-holder><copyright-holder xml:lang="ru">Строительная механика инженерных конструкций и сооружений</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/></permissions><self-uri xlink:href="https://journals.rudn.ru/structural-mechanics/article/view/11091">https://journals.rudn.ru/structural-mechanics/article/view/11091</self-uri><abstract xml:lang="en">The technique of the decision of physically non-linear plane problem of the elastic theory in moving is developed. The application of the given technique to calculation of the beams cooperating with the bed, having the non-linear diagram of deformation is presented. The example of analysis of a beam is resulted.</abstract><trans-abstract xml:lang="ru">Разработана методика решения физически нелинейной плоской задачи теории упругости в перемещениях. Представлено приложение данной методики к расчету балок, взаимодействующих со средой, имеющих нелинейную диаграмму деформирования.  Приведен пример расчета балки.</trans-abstract><kwd-group xml:lang="en"><kwd>a plane problem</kwd><kwd>nonlinearity</kwd><kwd>a beam</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>плоская задача</kwd><kwd>нелинейность</kwd><kwd>балка</kwd></kwd-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Ильюшин А.А. Пластичность. - М.: Гостехиздат, 1948. - 342с.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Лукаш П. А. 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