{"id":14960,"date":"2025-03-17T10:27:29","date_gmt":"2025-03-17T10:27:29","guid":{"rendered":"https:\/\/support.buildsoft.eu\/?post_type=ht_kb&p=14960"},"modified":"2025-03-17T10:27:30","modified_gmt":"2025-03-17T10:27:30","slug":"sll-09-unsymmetric-bending","status":"publish","type":"ht_kb","link":"https:\/\/support.buildsoft.eu\/es\/knowledge-base\/sll-09-unsymmetric-bending\/","title":{"rendered":"SLL 09: unsymmetric bending"},"content":{"rendered":"

Description<\/h2>\n

\"\"<\/p>\n

\n\n\n\n\n\n\n
Geometry<\/th>\nL shaped cross-section:<\/td>\n\"B=75mm\"
\n\"H=150mm\"
\n\"t=9mm\"
\n\"\alpha=15^\circ\"<\/td>\n<\/tr>\n
Span:<\/td>\n\"2m\"<\/td>\n<\/tr>\n
Material:<\/td>\nS235<\/td>\n<\/tr>\n
Load<\/th>\nDesign forces:<\/td>\n\"q=10 \text{kN}\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Independent reference results<\/h2>\n
<\/span>Open handcalculations<\/div>
\nAs loads always follow the path of greatest stiffness, they will follow the principle axes of the cross-section, not the path of the local axes.<\/p>\n
    \n
  • When a cross-section is symmetrical, the principle and local axes coincide. A vertical load, will lead to only vertical deformation.<\/li>\n
  • But in an unsymmetric cross-section, the principle and local axes don’t coincide. A vertical load will load to both vertical and horizontal deformation. The angle \"\alpha\" is the angle between the local and principle axes.<\/li>\n<\/ul>\n

    The L-shaped cross-section is an example of the latter case. We’ll need the split up the loads according to the principle axes.<\/p>\n

    \"\"<\/p>\n

      <\/span>   <\/span>\"\begin{align*}<\/p>\n

    Now we can calculate the deformation parallel to the principle axis V \"\delta_V\" and axis U \"\delta_U\". Both deformations cannot be consulted in Diamonds. Their vector sum \"\delta_{xyz}\" can be consulted in Diamonds.<\/p>\n

    \"\"<\/p>\n

      <\/span>   <\/span>\"\begin{align*}<\/p>\n

    The deformation parallel to the global axis Y and global axis X can be deducted from \"\delta_V\" and \"\delta_U\".<\/p>\n

      <\/span>   <\/span>\"\begin{align*}<\/p>\n<\/div><\/div><\/div>\n

    Diamonds results and comparison<\/h2>\n

    \"\"<\/p>\n

    Deformations \"\delta_{xyz}\", \"\delta_{Y}\", \"\delta_{X}\" calculated by Diamonds
    \n<\/strong><\/p>\n

    \n\n\n\n\n\n\n
    Results<\/th>\nIndependent reference<\/th>\nDiamonds<\/th>\nDifference<\/th>\n<\/tr>\n
    \"\delta_{xyz}\"<\/td>\n5.389mm<\/td>\n5.376mm<\/td>\n-0.05%<\/td>\n<\/tr>\n
    \"\delta_Y\"<\/td>\n3.194mm<\/td>\n3.192mm<\/td>\n-0.05%<\/td>\n<\/tr>\n
    \"\delta_X\"<\/td>\n-4.328mm<\/td>\n-4.326mm<\/td>\n-0.05%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

    References<\/h2>\n
      \n
    • HEARN, E. J. (z.d.). Mechanics of Materials 1: An introduction to the mechanics of elastic and plastic deformation of solids and structural materials<\/i>.<\/li>\n
    • VAN IMPE, R., Berekening van Bouwkundige Constructies I <\/i>, Chapter 4.1<\/li>\n<\/ul>\n
        \n
      • Tested in Diamonds 2026.<\/li>\n<\/ul>\n\n","protected":false},"excerpt":{"rendered":"

        Description Independent reference results Diamonds results and comparison Deformations , , calculated by Diamonds References HEARN, E. J. (z.d.). Mechanics of Materials 1: An introduction to the mechanics of elastic and plastic deformation of solids and structural materials. VAN IMPE, R., Berekening van Bouwkundige Constructies I , Chapter 4.1<\/p>\n","protected":false},"author":3,"comment_status":"closed","ping_status":"closed","template":"","format":"standard","meta":[],"ht-kb-category":[1213],"ht-kb-tag":[1314,386,1313,1312],"_links":{"self":[{"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb\/14960"}],"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=14960"}],"version-history":[{"count":3,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb\/14960\/revisions"}],"predecessor-version":[{"id":14989,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb\/14960\/revisions\/14989"}],"wp:attachment":[{"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/media?parent=14960"}],"wp:term":[{"taxonomy":"ht_kb_category","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb-category?post=14960"},{"taxonomy":"ht_kb_tag","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb-tag?post=14960"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}