{"id":10469,"date":"2023-11-04T09:24:08","date_gmt":"2023-11-04T09:24:08","guid":{"rendered":"https:\/\/support.buildsoft.eu\/?post_type=ht_kb&p=10469"},"modified":"2024-12-17T14:59:30","modified_gmt":"2024-12-17T14:59:30","slug":"dll-04","status":"publish","type":"ht_kb","link":"https:\/\/support.buildsoft.eu\/nl\/knowledge-base\/dll-04\/","title":{"rendered":"DLL 04: Slender beam simply supported subjected to axial load – eigen modes – global buckling"},"content":{"rendered":"

Description<\/h2>\n

\"\"<\/p>\n

\n\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
<\/td>\nDensity<\/td>\n\"\rho=7800 kg/m^3\"<\/td>\n<\/tr>\n
<\/td>\nPoisson\u2019s ratio<\/td>\n\"\nu= 0.3\"<\/td>\n<\/tr>\n
Geometry<\/th>\nCross-section<\/td>\nDimensions<\/td>\n\"b=h=50mm\"<\/td>\n<\/tr>\n
Boundary conditions<\/td>\nIn point A<\/td>\nSimple support<\/td>\n<\/tr>\n
<\/td>\nIn point B<\/td>\nRoller support<\/td>\n<\/tr>\n
<\/td>\nAlong line AB<\/td>\n\"R_z, M_x\" and \"M_y\" fixed to impose 2D behaviour<\/td>\n<\/tr>\n
Loads<\/th>\n<\/td>\nIn point B<\/td>\n\"F=10kN\"<\/td>\n<\/tr>\n
Mesh<\/th>\n<\/td>\nNo. of divisions<\/td>\n20<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Results<\/h2>\n

Eigen modes<\/h3>\n
\n\n\n\n\n\n
Eigen mode<\/th>\nShape<\/th>\nIndependent reference<\/th>\nDiamonds<\/th>\nDifference<\/th>\n<\/tr>\n
1<\/td>\n \"\"<\/td>\n28,702Hz<\/td>\n28,702Hz<\/td>\n0,00%<\/td>\n<\/tr>\n
2<\/td>\n \"\"<\/td>\n114,807Hz<\/td>\n114,807Hz<\/td>\n0,00%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Note: only the mass of vertical loads contributes to the eigenmodes. So these eigen modes are calculated with the mass of the self-weight. The horizontal force of 10kN does not contribute.<\/p>\n

Global buckling factor<\/h3>\n

When you do a second order calculation, Diamonds calculates the global buckling factor. This global buckling factor is the factor with which the loads on the structure must be multiplied to obtain buckling. Resulting in the critial buckling force.
\n\"\"<\/p>\n

Equilibrium check \"\" in Diamonds<\/strong><\/p>\n

\n\n\n\n\n
Which result<\/th>\nIndependent reference<\/th>\nDiamonds<\/th>\nDifference<\/th>\n<\/tr>\n
Critical load<\/td>\n257,02kN<\/td>\n\"25.702 \cdot 10 \text{kN}=257.02\text{kN}\"<\/td>\n0,00%<\/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: SDLL 05: <\/i><\/i>poutre \u00e9lanc\u00e9e sur 2 appuis, soumise \u00e0 un chargement axial<\/li>\n<\/ul>\n
      \n
    • Tested in Diamonds 2026.<\/li>\n<\/ul>\n\n<\/div>\n","protected":false},"excerpt":{"rendered":"

      Description Results Eigen modes Note: only the mass of vertical loads contributes to the eigenmodes. So these eigen modes are calculated with the mass of the self-weight. The horizontal force of 10kN does not contribute. Global buckling factor When you do a second order calculation, Diamonds calculates the global buckling…<\/p>\n","protected":false},"author":3,"comment_status":"closed","ping_status":"closed","template":"","format":"standard","meta":[],"ht-kb-category":[1206],"ht-kb-tag":[],"_links":{"self":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/10469"}],"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=10469"}],"version-history":[{"count":3,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/10469\/revisions"}],"predecessor-version":[{"id":14118,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/10469\/revisions\/14118"}],"wp:attachment":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/media?parent=10469"}],"wp:term":[{"taxonomy":"ht_kb_category","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb-category?post=10469"},{"taxonomy":"ht_kb_tag","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb-tag?post=10469"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}