{"id":10518,"date":"2023-11-06T11:45:50","date_gmt":"2023-11-06T11:45:50","guid":{"rendered":"https:\/\/support.buildsoft.eu\/?post_type=ht_kb&p=10518"},"modified":"2026-07-16T14:41:17","modified_gmt":"2026-07-16T14:41:17","slug":"sls-05-thin-cylinder-under-a-uniform-axial-load","status":"publish","type":"ht_kb","link":"https:\/\/support.buildsoft.eu\/es\/knowledge-base\/sls-05-thin-cylinder-under-a-uniform-axial-load\/","title":{"rendered":"SLS 05: Thin cylinder under a uniform axial 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=2 mm\"<\/td>\n<\/tr>\n
Boundary conditions<\/td>\nAt bottom edge<\/td>\n\"R_y\" fixed<\/td>\n<\/tr>\n
Loads<\/th>\n<\/td>\nOn top edge<\/td>\n\"q=10kN/m\"<\/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>\n

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

  <\/span>   <\/span>\"\[\sigma_1=\sigma_{zz}=\frac{p}{e}=\frac{10kN/m}{0.02m}=5 N/mm^2\]\"<\/p>\n

  <\/span>   <\/span>\"\[\Delta R=\delta_x=\delta_z=\frac{p \cdot \nu \cdot R}{E \cdot e}=\frac{10kN/m \cdot 4m \cdot 1m}{210000N/mm^2 \cdot 0.02m}=0.000 714mm\]\"<\/p>\n

  <\/span>   <\/span>\"\[\Delta y=\delta_y=\frac{p \cdot L}{E \cdot e}=\frac{10kN/m \cdot 4m}{210000N/mm^2 \cdot 0.02m}=0.009524mm\]\"<\/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
mid<\/td>\nstress \"\sigma_{zz}\"<\/td>\n0,5N\/mm\u00b2<\/td>\n0,5N\/mm\u00b2<\/td>\n0,00%<\/td>\n<\/tr>\n
max<\/td>\nLongitudinal deformation \"\delta_y\"<\/td>\n0,009524mm<\/td>\n0,009525mm<\/td>\n0,01%<\/td>\n<\/tr>\n
max<\/td>\nRadial deformation \"\delta_x\" and \"\delta_z\"<\/td>\n0,000714mm<\/td>\n0,000750mm<\/td>\n5,00%<\/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 07: cylindre mince sous charge axiale uniforme.<\/i><\/li>\n
  • Roark, R. J., & Young, W. C. (2002). Roark\u2019s Formulas for Stress and Strain<\/i> (7th edition, Table 13.1 case 1a). McGraw-Hill Companies.<\/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 07: cylindre mince sous charge axiale uniforme. Roark, R. J., & Young, W. C. (2002). Roark\u2019s Formulas for Stress and Strain (7th edition,…<\/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\/10518"}],"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=10518"}],"version-history":[{"count":2,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb\/10518\/revisions"}],"predecessor-version":[{"id":30573,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb\/10518\/revisions\/30573"}],"wp:attachment":[{"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/media?parent=10518"}],"wp:term":[{"taxonomy":"ht_kb_category","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb-category?post=10518"},{"taxonomy":"ht_kb_tag","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb-tag?post=10518"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}