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  <front xmlns:xlink="http://www.w3.org/1999/xlink">
    <journal-meta>
      <journal-id journal-id-type="elibrary">75504</journal-id>
      <journal-title-group>
        <journal-title>Magazine of Civil Engineering</journal-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Magazine of Civil Engineering</trans-title>
        </trans-title-group>
      </journal-title-group>
      <issn pub-type="epub">2712-8172</issn>
    </journal-meta>
    <article-meta xmlns:xlink="http://www.w3.org/1999/xlink">
      <article-id pub-id-type="publisher-id">6</article-id>
      <article-id pub-id-type="doi">10.18720/MCE.87.6</article-id>
      <title-group>
        <article-title>The semi-shear theory of V.I. Slivker for the stability problems of thin-walled bars</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Полусдвиговая теория В.И. Сливкера в задачах устойчивости тонкостенных стержней</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">0000-0003-3850-424X</contrib-id>
          <contrib-id contrib-id-type="scopus">56091980300</contrib-id>
          <name>
            <surname>Lalin</surname>
            <given-names>Vladimir</given-names>
          </name>
          <xref ref-type="aff" rid="aff1"/>
          <email>vllalin@yandex.ru</email>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">0000-0002-2299-3096</contrib-id>
          <contrib-id contrib-id-type="scopus">56296687300</contrib-id>
          <name>
            <surname>Rybakov</surname>
            <given-names>Vladimir</given-names>
          </name>
          <xref ref-type="aff" rid="aff2"/>
          <email>fishermanoff@mail.ru</email>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Diakov</surname>
            <given-names>Stanislav</given-names>
          </name>
          <xref ref-type="aff" rid="aff2"/>
          <email>stass.f.dyakov@gmail.com</email>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Kudinov</surname>
            <given-names>Vadim</given-names>
          </name>
          <xref ref-type="aff" rid="aff2"/>
          <email>vadim.russia@hotmail.com</email>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Orlova</surname>
            <given-names>Ekaterina</given-names>
          </name>
          <xref ref-type="aff" rid="aff2"/>
          <email>ye-cat-erina@yandex.ru</email>
        </contrib>
      </contrib-group>
      <aff id="aff1">Peter the Great St. Petersburg Polytechnic University</aff>
      <aff id="aff2">Peter the Great Saint Petersburg Polytechnic University</aff>
      <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2019-05-12">
        <day>12</day>
        <month>05</month>
        <year>2019</year>
      </pub-date>
      <issue>3</issue>
      <issue-id pub-id-type="publisher-id">87</issue-id>
      <fpage>66</fpage>
      <lpage>79</lpage>
      <self-uri xmlns:xlink="http://www.w3.org/1999/xlink" content-type="pdf" xlink:href="https://engstroy.spbstu.ru/userfiles/files/2019/3(87)/06.pdf"/>
      <abstract xml:lang="en">
        <p>The theory of thin-walled bars is important because light steel thin-walled structures are widely used. Traditionally, in calculations two theories are used: theory for open-profile and closed profile bars. The calculations are difficult, because different finite elements are used for different bar types. In 2005 V.I. Slivker worked out a semi-shear theory, which is suitable for thin-walled bars of open sections and closed sections. Similarly, this article presents the research on finite element modeling for the stability problems of thin-walled bars using the same theory to the geometric stiffness matrix. It was shown that the FEM solution converges to the exact one as the number of the finite elements increases. The numeral solutions were compared to critical forces obtained by the classical Euler formula. It was found that using the cross-sections as the thin-walled ones can reduce the critical force, especially for the open cross-sections.</p>
      </abstract>
      <kwd-group xml:lang="en">
        <kwd>stability</kwd>
        <kwd>geometric stiffness matrix</kwd>
        <kwd>thin-walled bar</kwd>
        <kwd>finite element method</kwd>
        <kwd>semi-shear theory</kwd>
      </kwd-group>
    </article-meta>
  </front>
</article>
