{"id":10307,"date":"2023-10-29T10:38:22","date_gmt":"2023-10-29T10:38:22","guid":{"rendered":"https:\/\/support.buildsoft.eu\/?post_type=ht_kb&p=10307"},"modified":"2026-04-23T12:43:59","modified_gmt":"2026-04-23T12:43:59","slug":"slx-07-out-of-the-plane-bending-of-an-arc","status":"publish","type":"ht_kb","link":"https:\/\/support.buildsoft.eu\/es\/knowledge-base\/slx-07-out-of-the-plane-bending-of-an-arc\/","title":{"rendered":"SLX 07: out of the plane bending of an arc"},"content":{"rendered":"

Description<\/h2>\n

\"\"<\/p>\n

<\/span>How do I determine the position of point C?<\/div>
\n
    \n
  • Starting from the center of the circle, draw a random horizontal line. Make sure the length is smaller than radius of the circle.\"\"<\/li>\n
  • Double click the line. Change the length to something bigger than en radius of the circle and set the angle to 15\u00b0.\"\"<\/li>\n
  • Select everything and make the lines intersect. The intersection point is point C.\"\"<\/li>\n
  • Select the two lines and hit CTRL<\/kbd> + SHIFT<\/kbd> + DEL<\/kbd> (use the shortkey instead of DEL<\/kbd>, because DEL<\/kbd> will erase the intersection point).\"\"<\/li>\n
  • Select the two remaining points and hit DEL<\/kbd>.
    \n\"\"<\/div><\/div><\/div><\/li>\n<\/ul>\n
    \n\n\n\n\n\n\n\n\n
    Material<\/th>\n<\/td>\nModulus of elasticity<\/td>\n\"E = 200 000 N/mm^2\"<\/td>\n<\/tr>\n
    <\/td>\nPoisson’s ratio<\/td>\n\"\nu= 0.3\"<\/td>\n<\/tr>\n
    Geometry<\/th>\nCross-section<\/td>\nTube<\/td>\n\"d_i = 16mm\"<\/td>\n<\/tr>\n
    <\/td>\n<\/td>\n\"d_e = 20mm\"<\/td>\n<\/tr>\n
    Boundary conditions<\/td>\nIn point A<\/td>\nFixed support<\/td>\n<\/tr>\n
    Loads<\/th>\n<\/td>\nIn point B<\/td>\n\"F_z = 0.01kN\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

    Note: the arc is approximated with 16 line segments<\/p>\n

    Results<\/h2>\n

    \"\"<\/p>\n

    Horizontal deformation \"\delta_z\" in Diamonds<\/strong><\/p>\n

    \n\n\n\n\n\n\n
    Point<\/th>\nWhich result<\/th>\nIndependent reference<\/th>\nDiamonds<\/th>\nDifference<\/th>\n<\/tr>\n
    B<\/td>\nHorizontal deformation \"\delta_z\"<\/td>\n134,62mm<\/td>\n132,03mm<\/td>\n-1,92%<\/td>\n<\/tr>\n
    C
    \n(\"\theta = 15 ^{\circ}\")<\/td>\n    		Torsional moment \"T_x\"<\/td>\n74,118 Nm<\/td>\n75,582Nm<\/td>\n1,98%<\/td>\n<\/tr>\n
    C
    \n(\"\theta = 15 ^{\circ}\")<\/td>\n    		Bending moment \"M_z\"<\/td>\n-96,593 Nm<\/td>\n-95,369Nm<\/td>\n-1.27%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

    References<\/h2>\n
    \n
      \n
    • M\u00e9caniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SSLL 07: arc mince encastr\u00e9 en flexion hors du plan<\/i>.<\/li>\n<\/ul>\n
        \n
      • Tested in Diamonds 2026.<\/li>\n<\/ul>\n\n<\/div>\n","protected":false},"excerpt":{"rendered":"

        Description Note: the arc is approximated with 16 line segments Results Horizontal deformation  in Diamonds References M\u00e9caniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SSLL 07: arc mince encastr\u00e9 en flexion hors du plan.<\/p>\n","protected":false},"author":3,"comment_status":"closed","ping_status":"closed","template":"","format":"standard","meta":[],"ht-kb-category":[1204],"ht-kb-tag":[],"_links":{"self":[{"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb\/10307"}],"collection":[{"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb"}],"about":[{"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/types\/ht_kb"}],"author":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/comments?post=10307"}],"version-history":[{"count":3,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb\/10307\/revisions"}],"predecessor-version":[{"id":11385,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb\/10307\/revisions\/11385"}],"wp:attachment":[{"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/media?parent=10307"}],"wp:term":[{"taxonomy":"ht_kb_category","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb-category?post=10307"},{"taxonomy":"ht_kb_tag","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb-tag?post=10307"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}