{"id":10284,"date":"2023-10-28T22:24:47","date_gmt":"2023-10-28T22:24:47","guid":{"rendered":"https:\/\/support.buildsoft.eu\/?post_type=ht_kb&p=10284"},"modified":"2026-04-23T12:44:34","modified_gmt":"2026-04-23T12:44:34","slug":"slx-08-simply-supported-thin-arc-under-inplane-bending","status":"publish","type":"ht_kb","link":"https:\/\/support.buildsoft.eu\/fr\/knowledge-base\/slx-08-simply-supported-thin-arc-under-inplane-bending\/","title":{"rendered":"SLX 08: simply supported thin arc under inplane bending"},"content":{"rendered":"

Description<\/h2>\n

\"\"<\/p>\n

\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
Poisson’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\"d_e = 20mm\"<\/td>\n<\/tr>\n
Boundary conditions<\/td>\nIn point A<\/td>\nSimple support<\/td>\n<\/tr>\n
In point B<\/td>\nRoller support<\/td>\n<\/tr>\n
Loads<\/th>\n<\/td>\nIn point C<\/td>\n\"F = 0.1kN\"<\/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_x\" in Diamonds<\/strong><\/p>\n

\n\n\n\n\n\n\n\n
Point<\/th>\nWhich result<\/th>\nIndependent reference<\/th>\nDiamonds<\/th>\nDifference<\/th>\n<\/tr>\n
A<\/td>\nAngular displacement \"\varphi_z\"<\/td>\n-0,030774 rad<\/td>\n-0,030898 rad<\/td>\n0,40%<\/td>\n<\/tr>\n
B<\/td>\nAngular displacement \"\varphi_z\"<\/td>\n0,030774 rad<\/td>\n0,030898 rad<\/td>\n0,40%<\/td>\n<\/tr>\n
B<\/td>\nHorizontal deformation \"\delta_x\"<\/td>\n53,913mm<\/td>\n53,826mm<\/td>\n-0,16%<\/td>\n<\/tr>\n
C<\/td>\nDeformation \"\delta_y\"<\/td>\n-19,206mm<\/td>\n-19,250mm<\/td>\n0.23%<\/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 08: arc mince bi-articul\u00e9 en flexion plane<\/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 08: arc mince bi-articul\u00e9 en flexion plane.<\/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\/fr\/wp-json\/wp\/v2\/ht-kb\/10284"}],"collection":[{"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/ht-kb"}],"about":[{"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/types\/ht_kb"}],"author":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/comments?post=10284"}],"version-history":[{"count":3,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/ht-kb\/10284\/revisions"}],"predecessor-version":[{"id":11384,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/ht-kb\/10284\/revisions\/11384"}],"wp:attachment":[{"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/media?parent=10284"}],"wp:term":[{"taxonomy":"ht_kb_category","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/ht-kb-category?post=10284"},{"taxonomy":"ht_kb_tag","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/ht-kb-tag?post=10284"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}