{"id":10600,"date":"2023-11-07T09:38:00","date_gmt":"2023-11-07T09:38:00","guid":{"rendered":"https:\/\/support.buildsoft.eu\/?post_type=ht_kb&p=10600"},"modified":"2026-07-16T14:45:32","modified_gmt":"2026-07-16T14:45:32","slug":"sls-06-thin-cylinder-under-hydrostatic-pressure","status":"publish","type":"ht_kb","link":"https:\/\/support.buildsoft.eu\/nl\/knowledge-base\/sls-06-thin-cylinder-under-hydrostatic-pressure\/","title":{"rendered":"SLS 06: Thin cylinder under hydrostatic pressure"},"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 =210 000N/mm^2\"<\/td>\n<\/tr>\n
<\/td>\nPoisson’s ratio<\/td>\n\"\nu= 0.3\"<\/td>\n<\/tr>\n
Geometry<\/th>\nCross-section<\/td>\nThickness<\/td>\n\"e=20 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>\nOn all plates<\/td>\nTriangular load varying from \"0kN/m^2\" at the bottom to \"20.0kN/m^2\" at the top.<\/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>\"\[\sigma_1(y)=\sigma_{xx}= \frac{q_0 \cdot R \cdot y}{L \cdot e}\]\"<\/p>\n

  <\/span>   <\/span>\"\[\sigma_{xx}(2m)=\frac{20kN/m^2 \cdot 1m \cdot 2m}{4m \cdot 0.02m}=0.5N/mm^2\]\"<\/p>\n

  <\/span>   <\/span>\"\[\Delta R(y)=\delta_x(y)=\delta_z(y)=\frac{q_0 \cdot R^2 \cdot y}{E \cdot L \cdot e}\]\"<\/p>\n

  <\/span>   <\/span>\"\[\delta_x(2m)=\frac{20kN/m^2 \cdot (1m)^2 \cdot 2m}{210000N/mm^2 \cdot 4m \cdot 0.02m}=0.002381mm\]\"<\/p>\n

  <\/span>   <\/span>\"\[\Delta y(y)=\delta_y(y)=\frac{q_0 \cdot R \cdot \nu \cdot y^2}{2 \cdot E \cdot L \cdot e}\]\"<\/p>\n

  <\/span>   <\/span>\"\[\delta_y(4m)=\frac{20kN/m^2 \cdot 1m\cdot 0.3 \cdot (4m)^2}{2 \cdot 210000N/mm^2 \cdot 4m \cdot 0.02m}=0.002857mm\]\"<\/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
\nreference<\/th>\n		Diamonds<\/th>\nDifference<\/th>\n<\/tr>\n
Y=2m<\/td>\nStress \"\sigma_xx\"<\/td>\n0.5\"N/mm^2\"<\/td>\n0.514 \"N/mm^2\" (1)<\/sup><\/td>\n2,80%<\/td>\n<\/tr>\n
Y=4m<\/td>\nLongitudinal deformation \"\delta_y\"<\/td>\n0,002857mm<\/td>\n0,002847mm<\/td>\n-0,36%<\/td>\n<\/tr>\n
Y=2m<\/td>\nRadial deformation \"\delta_x\" and \"\delta_z\"<\/td>\n0,002381mm<\/td>\n0,002363mm<\/td>\n-0,75%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n(1)<\/sup> The stress in Diamonds is determined using a cutline over which the average stress is calculated.<\/p>\n

References<\/h2>\n
\n
    \n
  • M\u00e9caniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SSLS 08: cylindre mince sous pression hydrostatique<\/i><\/li>\n
  • Roark, R. J., & Young, W. C. (2002). Roark\u2019s Formulas for Stress and Strain<\/i> (7th edition, Table 13.1 case 1b). 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 (1) The stress in Diamonds is determined using a cutline over which the average stress is calculated. References M\u00e9caniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SSLS 08: cylindre mince sous pression hydrostatique…<\/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\/10600"}],"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=10600"}],"version-history":[{"count":2,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/10600\/revisions"}],"predecessor-version":[{"id":30575,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/10600\/revisions\/30575"}],"wp:attachment":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/media?parent=10600"}],"wp:term":[{"taxonomy":"ht_kb_category","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb-category?post=10600"},{"taxonomy":"ht_kb_tag","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb-tag?post=10600"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}