{"id":10360,"date":"2023-10-30T12:53:58","date_gmt":"2023-10-30T12:53:58","guid":{"rendered":"https:\/\/support.buildsoft.eu\/?post_type=ht_kb&p=10360"},"modified":"2026-07-16T14:34:50","modified_gmt":"2026-07-16T14:34:50","slug":"sls-02-simply-supported-square-plate-under-uniform-load","status":"publish","type":"ht_kb","link":"https:\/\/support.buildsoft.eu\/fr\/knowledge-base\/sls-02-simply-supported-square-plate-under-uniform-load\/","title":{"rendered":"SLS 02: Simply supported square plate under uniform load"},"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 = 210 000 N/mm^2\"<\/td>\n<\/tr>\n
Poisson’s ratio<\/td>\n\"\nu= 0,3\"<\/td>\n<\/tr>\n
Geometry<\/th>\nCross-section<\/td>\nThickness<\/td>\n\"e=10 mm\"<\/td>\n<\/tr>\n
Boundary conditions<\/td>\nAlong all edges<\/td>\nSimply supported<\/td>\n<\/tr>\n
Loads<\/th>\n<\/td>\nOn the entire surface<\/td>\n\"p=0.7799kN/m^2\"<\/td>\n<\/tr>\n
Mesh<\/th>\n<\/td>\nMaximum element size<\/td>\n\"0.10m\"<\/td>\n<\/tr>\n
<\/td>\nMinimum element size<\/td>\n\"0.00m\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Independent reference results<\/h2>\n
<\/span>Open handcalculations<\/div>
\n

  <\/span>   <\/span>\"\[D=\frac{E \cdot e^3}{12(1-\upsilon ^2)}=\frac{210 000N/mm^2 \cdot (0.01m)^3}{12(1-0.3^2)}=19.231kNm\]\"<\/p>\n

From Timoshenko: \"\alpha=0.00406\"<\/p>\n

  <\/span>   <\/span>\"\[\delta_y=\frac{\alpha \cdot p \cdot z^{4}}{64 \cdot D}=\frac{0.00406 \cdot 0.7799kN/m^2 \cdot (1m)^{4}}{64 \cdot 19.231kNm} = 0.165mm\]\"<\/p>\n<\/div><\/div><\/div>\n

Diamonds results and comparison<\/h2>\n

\"\"<\/p>\n

Deformation \"\delta_y\" in Diamonds<\/strong><\/p>\n

\n\n\n\n\n
Point<\/th>\nWhich result<\/th>\nIndependent reference<\/th>\nDiamonds<\/th>\nDifference<\/th>\n<\/tr>\n
A<\/td>\nDeformation \"\delta_y\"<\/td>\n0,165mm<\/td>\n0,163mm<\/td>\n-1,00%<\/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: SSLS 02: plaque carr\u00e9e simplement support\u00e9e.<\/i><\/li>\n
  • \n
    \n

    Timoshenko, S., & Woinowsky-Krieger, S. (1959, p. 177 equ. 141 and Table 8). Theory of plates and shells<\/i>. McGraw-Hill Publishing Company.<\/p>\n<\/div>\n<\/li>\n<\/ul>\n

      \n
    • Tested in Diamonds 2026.<\/li>\n<\/ul>\n\n<\/div>\n","protected":false},"excerpt":{"rendered":"

      Description Independent reference results Diamonds results and comparison Deformation in Diamonds References M\u00e9caniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SSLS 02: plaque carr\u00e9e simplement support\u00e9e. Timoshenko, S., & Woinowsky-Krieger, S. (1959, p. 177 equ. 141 and Table 8). Theory of plates and shells….<\/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\/fr\/wp-json\/wp\/v2\/ht-kb\/10360"}],"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=10360"}],"version-history":[{"count":3,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/ht-kb\/10360\/revisions"}],"predecessor-version":[{"id":30564,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/ht-kb\/10360\/revisions\/30564"}],"wp:attachment":[{"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/media?parent=10360"}],"wp:term":[{"taxonomy":"ht_kb_category","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/ht-kb-category?post=10360"},{"taxonomy":"ht_kb_tag","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/ht-kb-tag?post=10360"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}