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 - 1 - DIN 18800-4:2008-11 (E) Steel structures - Part 4: Stability - Safety against buckling of shells Contents Page Foreword ..........................................................................................................................................................3 1 General ............................................................................................................................................ 4 1.1 Scope and field of application ...................................................................................................... 4 1.2 Normative references ........................................................................... .........................................4 1.3 Terms and definitions ....................................................................................................................5 1.4 Common notation ........................................................................................................... ................5 1.5 Basic considerations .....................................................................................................................8 2 Procedure for analysis of safety against buckling .....................................................................8 3 Imperfections ............................................................................ ....................................................12 4 Cylindrical shells of constant wall thickness ........................................................ ....................15 4.1 Notation and conditions of support ...........................................................................................15 4.2 Ideal buckling stresses .............................................................................................. ..................19 4.2.1 Axial compression .......................................................................................................................19 4.2.2 Hoop compression .......................................................................................................................22 4.2.3 Shear ............................................................................................................................................. 23 4.3 Actual buckling stresses .............................................................................................................24 4.4 Action-effects ................................................................................ ...............................................25 4.5 Stress combinations ....................................................................................................................27 4.5.1 Axial compression with coexistent hoop compression and shear .........................................27 4.5.2 Axial compression with coexistent hoop tension due to internal pressure ..........................29 5 Cylinders with courses of incremental wall thickness .............................................................30 5.1 Notation and conditions of support ...........................................................................................30 5.2 Design offset .............................................................................. ...................................................31 5.3 Ideal buckling stresses ................................................................................................................32 5.3.1 Axial compression ............................................................................. ..........................................32 5.3.2 Hoop compression .......................................................................................................................32 5.4 Actual buckling stresses .................................................................................. ...........................35 5.5 Action-effects ...............................................................................................................................36 5.6 Stress combinations ............................................................................ ........................................37 5.6.1 Axial compression with coexistent hoop compression ...........................................................37 5.6.2 Axial compression with coexistent hoop tension due to internal pressure ..........................38 6 Conical shells of uniform wall thickness ...................................................................................38 6.1 Notation and conditions of support ...........................................................................................38 6.2 Ideal buckling stresses ................................................................................................................41 6.2.1 Equivalent cylinder ......................................................................................................................41 6.2.2 Meridional compression ............................................................................................. .................42 6.2.3 Hoop compression .......................................................................................................................42 6.2.4 Shear ............................................................................................................................................. 43 6.3 Actual buckling stresses .............................................................................................................43 6.4 Action-effects ................................................................................ ...............................................44 6.5 Stress combinations ....................................................................................................................45 6.5.1 Meridional compression with coexistent hoop compression and shear ............................... 45 6.5.2 Meridional compression with coexistent hoop tension due to internal pressure ................. 46 7 Spherical shells of uniform wall thickness ...............................................................................46 7.1 Notation and conditions of support ...........................................................................................46

DIN-18800-4

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Page 1: DIN-18800-4

 

 

- 1 -

DIN 18800-4:2008-11 (E)

Steel structures - Part 4: Stability - Safety against buckling of shells

Contents  Page 

Foreword ..........................................................................................................................................................3

1 General ............................................................................................................................................41.1 Scope and field of application ......................................................................................................41.2 Normative references ....................................................................................................................41.3 Terms and definitions ....................................................................................................................51.4 Common notation ...........................................................................................................................51.5 Basic considerations .....................................................................................................................8

2 Procedure for analysis of safety against buckling .....................................................................8

3 Imperfections ................................................................................................................................12

4 Cylindrical shells of constant wall thickness ............................................................................154.1 Notation and conditions of support ...........................................................................................154.2 Ideal buckling stresses ................................................................................................................194.2.1 Axial compression .......................................................................................................................194.2.2 Hoop compression .......................................................................................................................224.2.3 Shear .............................................................................................................................................234.3 Actual buckling stresses .............................................................................................................244.4 Action-effects ...............................................................................................................................254.5 Stress combinations ....................................................................................................................274.5.1 Axial compression with coexistent hoop compression and shear .........................................274.5.2 Axial compression with coexistent hoop tension due to internal pressure ..........................29

5 Cylinders with courses of incremental wall thickness .............................................................305.1 Notation and conditions of support ...........................................................................................305.2 Design offset .................................................................................................................................315.3 Ideal buckling stresses ................................................................................................................325.3.1 Axial compression .......................................................................................................................325.3.2 Hoop compression .......................................................................................................................325.4 Actual buckling stresses .............................................................................................................355.5 Action-effects ...............................................................................................................................365.6 Stress combinations ....................................................................................................................375.6.1 Axial compression with coexistent hoop compression ...........................................................375.6.2 Axial compression with coexistent hoop tension due to internal pressure ..........................38

6 Conical shells of uniform wall thickness ...................................................................................386.1 Notation and conditions of support ...........................................................................................386.2 Ideal buckling stresses ................................................................................................................416.2.1 Equivalent cylinder ......................................................................................................................416.2.2 Meridional compression ..............................................................................................................426.2.3 Hoop compression .......................................................................................................................426.2.4 Shear .............................................................................................................................................436.3 Actual buckling stresses .............................................................................................................436.4 Action-effects ...............................................................................................................................446.5 Stress combinations ....................................................................................................................456.5.1 Meridional compression with coexistent hoop compression and shear ...............................456.5.2 Meridional compression with coexistent hoop tension due to internal pressure .................46

7 Spherical shells of uniform wall thickness ...............................................................................467.1 Notation and conditions of support ...........................................................................................46

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7.2 Ideal buckling stresses ............................................................................................................... 497.3 Actual buckling stresses ............................................................................................................ 507.4 Action-effects ............................................................................................................................... 507.5 Stress combinations ................................................................................................................... 50

Bibliography .................................................................................................................................................. 51