{"id":14123,"date":"2024-12-17T16:01:59","date_gmt":"2024-12-17T16:01:59","guid":{"rendered":"https:\/\/support.buildsoft.eu\/?post_type=ht_kb&p=14123"},"modified":"2025-06-17T12:01:18","modified_gmt":"2025-06-17T12:01:18","slug":"tls-01","status":"publish","type":"ht_kb","link":"https:\/\/support.buildsoft.eu\/nl\/knowledge-base\/tls-01\/","title":{"rendered":"TLS 01: Plate under temperature load"},"content":{"rendered":"

Description<\/h2>\n

\"\"<\/p>\n

\n\n\n\n\n\n\n\n\n
Material<\/th>\nModulus of elasticity
\nPossion’s ratio<\/td>\n		\"E=200 000 N/mm^2\"
\n\"\upsilon = 0.3\"<\/td>\n<\/tr>\n
Thermal dilation<\/td>\n\"\alpha =0.000 010/ ^{\circ}C\"<\/td>\n<\/tr>\n
Geometry<\/th>\nPlate thickness<\/td>\nt=10mm<\/td>\n<\/tr>\n
Boundary conditions<\/td>\nFixed along all sides<\/td>\n<\/tr>\n
Loads<\/th>\n<\/td>\nLineair gradient in local y’ direction \"\Delta T = 100 ^{\circ}C\"<\/td>\n<\/tr>\n
Mesh<\/th>\nMax. element size:
\nMin. element size:<\/td>\n		0,1m
\n0,0m<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Independent reference results<\/h2>\n
<\/span>Open handcalculations<\/div>
\n
    \n
  • Calculate the bending stiffness\n

      <\/span>   <\/span>\"\[D=\frac{E \cdot t^3}{12 \cdot \left ( 1-\upsilon ^2 \right )}=18.315 \text{kNm}\]\"<\/p>\n<\/li>\n<\/ul>\n

      \n
    • \n
        \n
      • Bending moment \"M_{xx}\"<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n

          <\/span>   <\/span>\"\[M_{xx}=-\frac{\alpha \cdot \Delta T\cdot \left ( 1+\upsilon \right )\cdot D}{t}= - 2381.0 \frac{N \cdot m}{m}\]\"<\/p>\n

          \n
        • \n
            \n
          • Stress \"\sgima_{xx}\"<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n

              <\/span>   <\/span>\"\[\sigma _{xx}=\frac{6 \cdot M_{xx}}{t^2} = -142.9 \frac{N}{mm^2}\]\"<\/p>\n<\/div><\/div><\/div>\n

            Diamonds results and comparison<\/h2>\n

            \"\"<\/p>\n

            Bending moment \"M_{xx}\" and stress \"\sigma_{xx}\" calculated by Diamonds<\/strong><\/p>\n

            \n\n\n\n\n\n
            <\/th>\nIndependent reference<\/th>\nDiamonds<\/th>\nDifference<\/th>\n<\/tr>\n
            Bending moment in the local x’-direction \"M_{xx}\"<\/td>\n-2381.0 kNm<\/td>\n-2381.0 kNm<\/td>\n0%<\/td>\n<\/tr>\n
            Elastic stress in the local x’-direction \"\sigma_{xx}\"<\/td>\n-142.9\"\frac{N}{mm^2}\"<\/td>\n-142.9\"\frac{N}{mm^2}\"<\/td>\n0%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

            References<\/h2>\n
              \n
            • M\u00e9caniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: HSLS 01: plaque mince se d\u00e9formant suivant une surface sph\u00e9rique<\/i><\/li>\n
            • Timoshenko, S., & Woinowsky-Krieger, S. (1959). Theory of plates and shells<\/i>. McGraw-Hill Publishing Company.<\/li>\n
            • Timoshenko, S., & Woinowsky-Krieger, S. (1948). Strenght of Materials<\/em> – PART II<\/em>. D. Van Nostrand Company.<\/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 Bending moment and stress calculated by Diamonds References M\u00e9caniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: HSLS 01: plaque mince se d\u00e9formant suivant une surface sph\u00e9rique Timoshenko, S., & Woinowsky-Krieger, S. (1959). Theory of plates and shells. McGraw-Hill…<\/p>\n","protected":false},"author":3,"comment_status":"closed","ping_status":"closed","template":"","format":"standard","meta":[],"ht-kb-category":[1205],"ht-kb-tag":[],"_links":{"self":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/14123"}],"collection":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb"}],"about":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/types\/ht_kb"}],"author":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/comments?post=14123"}],"version-history":[{"count":3,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/14123\/revisions"}],"predecessor-version":[{"id":15325,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/14123\/revisions\/15325"}],"wp:attachment":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/media?parent=14123"}],"wp:term":[{"taxonomy":"ht_kb_category","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb-category?post=14123"},{"taxonomy":"ht_kb_tag","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb-tag?post=14123"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}