{"id":10529,"date":"2023-11-06T15:38:47","date_gmt":"2023-11-06T15:38:47","guid":{"rendered":"https:\/\/support.buildsoft.eu\/?post_type=ht_kb&p=10529"},"modified":"2026-07-16T14:46:07","modified_gmt":"2026-07-16T14:46:07","slug":"sls-07-thin-cylinder-under-self-weight","status":"publish","type":"ht_kb","link":"https:\/\/support.buildsoft.eu\/es\/knowledge-base\/sls-07-thin-cylinder-under-self-weight\/","title":{"rendered":"SLS 07: Thin cylinder under self-weight"},"content":{"rendered":"

Description<\/h2>\n

\"\"<\/p>\n

\n\n\n\n\n\n\n\n\n\n\n\n\n
Material<\/th>\n<\/td>\nModulus of elasticity<\/td>\n\"E =210 000N/mm^2\"<\/td>\n<\/tr>\n
<\/td>\nPoisson’s ratio<\/td>\n\"\nu= 0.3\"<\/td>\n<\/tr>\n
<\/td>\nDensity<\/td>\n\"\rho=7850 kg/m^3\"
\n\"g=10.0m/s^2\"<\/td>\n<\/tr>\n
Geometry<\/th>\nCross-section<\/td>\nThickness<\/td>\n\"e=2 mm\"<\/td>\n<\/tr>\n
Boundary conditions<\/td>\nAt bottom edge<\/td>\n\"R_y\" fixed<\/td>\n<\/tr>\n
<\/td>\nIn point A<\/td>\n\"R_x\" fixed<\/td>\n<\/tr>\n
<\/td>\nIn point B<\/td>\n\"R_z\" fixed<\/td>\n<\/tr>\n
Loads<\/th>\n<\/td>\nSelf-weight1<\/sup><\/td>\n\"\gamma=78.5kN/m^3\"<\/td>\n<\/tr>\n
Mesh<\/th>\n<\/td>\nMaximum element size<\/td>\n\"0.05m\"<\/td>\n<\/tr>\n
<\/td>\nMinimum element size<\/td>\n\"0.00m\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n1<\/sup> The gravitational acceleration \"g\" equals \"9.81m/s^2\" in Diamonds. You cannot change it. In order to calculate with \"g=10.0m/s^2\", the self-weight of steel was adjusted in Diamonds.<\/p>\n

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

  <\/span>   <\/span>\"\[\sigma_1(z)=\sigma_{zz}=\gamma \cdot z \rightarrow \sigma_1(2m)=78.5kN/m^3 \cdot 2m=0.157N/mm^2\]\"<\/p>\n

  <\/span>   <\/span>\"\[\Delta R(z)=\frac{\gamma \cdot \nu \cdot R \cdot z}{E} \rightarrow \Delta R(4m)=\delta_x(0m)=\delta_z(0m)=\frac{78.5kN/m^3 \cdot 0.3 \cdot 1m \cdot 4m}{210000N/mm^2}=0.000449mm\]\"<\/p>\n

  <\/span>   <\/span>\"\[\Delta y(z)=\frac{\gamma \cdot z^2}{2 \cdot E} \rightarrow \Delta y(4m)=\delta_y(4m)=\frac{78.5kN/m^3 \cdot (4m)^2}{2 \cdot 210000N/mm^2}=0.002990mm\]\"<\/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\n\n
Point<\/th>\nWhich result<\/th>\nIndependent reference<\/th>\nDiamonds<\/th>\nDifference<\/th>\n<\/tr>\n
Y=2m<\/td>\nstress \"\sigma_zz\"<\/td>\n0,157N\/mm\u00b2<\/td>\n0,157N\/mm\u00b2<\/td>\n0,00%<\/td>\n<\/tr>\n
Y=0<\/td>\nLongitudinal deformation \"\delta_y\"<\/td>\n0,002990mm<\/td>\n0,002991mm<\/td>\n0,02%<\/td>\n<\/tr>\n
Y=0<\/td>\nRadial deformation \"\delta_x\" and \"\delta_z\"<\/td>\n0,000449mm<\/td>\n0,000442mm<\/td>\n-1,46%<\/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 09: cylindre mince sous son poids propre<\/i><\/li>\n
  • Roark, R. J., & Young, W. C. (2002). Roark\u2019s Formulas for Stress and Strain<\/i> (7th edition, Table 13.1 case 1e). McGraw-Hill Companies.<\/li>\n<\/ul>\n
      \n
    • Tested in Diamonds 2026.<\/li>\n<\/ul>\n\n<\/div>\n","protected":false},"excerpt":{"rendered":"

      Description 1 The gravitational acceleration equals in Diamonds. You cannot change it. In order to calculate with , the self-weight of steel was adjusted in Diamonds. 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…<\/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\/es\/wp-json\/wp\/v2\/ht-kb\/10529"}],"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=10529"}],"version-history":[{"count":2,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb\/10529\/revisions"}],"predecessor-version":[{"id":30577,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb\/10529\/revisions\/30577"}],"wp:attachment":[{"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/media?parent=10529"}],"wp:term":[{"taxonomy":"ht_kb_category","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb-category?post=10529"},{"taxonomy":"ht_kb_tag","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb-tag?post=10529"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}