EN 1999 - Eurocode 9: Design of aluminium structures Part ...

1 Brussels, 18-20 February 2008 Dissemination of information workshop1 EUROCODESB ackground and ApplicationsEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A. Mandara)EN 1999 - Eurocode 9: Design of aluminiumstructures part - Shell structuresA. MandaraDepartment of Civil EngineeringSecond University of Naples School of EngineeringReal Casa dell Annunziata Via Roma, 29, Aversa (CE)Eurocodes - Background and Applications Dissemination of information for training workshopBrussels 18-20 February 2008 Brussels, 18-20 February 2008 Dissemination of information workshop2 EUROCODESB ackground and ApplicationsAluminium shells applicationsEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A.)

2 Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop3 EUROCODESB ackground and ApplicationsThe EN1999-1-5 General partEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A. Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop4 EUROCODESB ackground and ApplicationsThe EN1999-1-5 AnnexesEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A. Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop5 EUROCODESB ackground and ApplicationsThe prEN1993-1-6EN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A. Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop6 EUROCODESB ackground and Applicationsw , vx, utrltr1hLr2r w rtShell configurations allowed for in EN1999-1-5EN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A.

3 Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop7 EUROCODESB ackground and ApplicationsEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A. Mandara)Types of shell analysis in EN1999-1-5 Brussels, 18-20 February 2008 Dissemination of information workshop8 EUROCODESB ackground and ApplicationsSpecific issues for aluminium alloy shells in EN1999-1-5EN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A. Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop9 EUROCODESB ackground and Applications shell plastic buckling imperfection sensitivity analysis of aluminium cylinders; set-up of buckling curves for aluminium shells; definition of imperfection classes for plastic buckling; interaction between load cases; introduction of additional shell configurations; stiffened shells imperfection sensitivity analysis of stiffened cylinders; validation of EN1993-1-6 procedures and harmonization withEN1999 rules; effect of welding effect (HAZ zones) imperfection sensitivity analysis of welded cylinders; definition of simplified Design procedures.

4 Background activity - Main investigated aspectsEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A. Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop10 EUROCODESB ackground and ApplicationsParametric analysis:Shell geometrical data and material featuresThe ABAQUS modelEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A. Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop11 EUROCODESB ackground and ApplicationsImperfection model = RyykeLxxkewwoyyykoxxxkoyox)(cos)(cos2)(2 )(02121 EN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A. Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop12 EUROCODESB ackground and ApplicationsBuckling response of axially loaded cylinders0100020003000400050006000024681 012 Abbassamenti Assiali [mm]Carichi Assiali [KN]R/t = 200f02 = 200 N/mmqTipo IncastratoImperfezione AsimmetricaABA QUS Pcr,th = KNW0/t = =301000200030004000500060000 10 20304050 607080 Abbassamenti Assiali [mm]Carichi Assiali [KN]R/t = 200f02 = 200 N/mmqTipo IncastratoImperfezione Assial-SimmetricaABAQUS Pcr,th = KNW0/t = =3EN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A.)

5 Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop13 EUROCODESB ackground and ApplicationsDeflected shapes at buckling (cylinders under uniform external pressure)Diagramma Carichi-Spostamenti Radiali [mm]Carichi Superficiali [N/mmq]R/t = 200 L/R=2f02 = 100 N/mmqW0 = mmTipo AppoggiatoABAQUS Pcr,th = N/m m qDiagramma Carichi-Spostamenti 102030405060 Spoatamenti Radiali [mm]Carichi Superficiali [N/mmq]R/t = 100 L/R=2f02 = 100 N/mmqW0 = 0,75 mmTipo AppoggiatoABAQUS Pcr,th = N/m m qEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A. Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop14 EUROCODESB ackground and ApplicationsImperfection sensitivity curves (axially loaded cylinders)Cylinders under axial load Imperfection Sensitivity Curves0,00,20,40,60,81,01,21,40,00,20,40 ,60,81,01,2W0/tPu /Pcr,thR/t = 200 R = 1000 mm t = 5 mmf02 = 200 N/mm2 Pcr,th = KN cr,th = N/mm2 CLASS ACLASS BCLASS CEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A.

6 Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop15 EUROCODESB ackground and ApplicationsImperfection sensitivity curves (cylinders under external pressure)Cylinders under external pressureImperfection sensitivity curve0,00,20,40,60,81,00,00,20,40,60,81, 0W0/tPu /Pcr,thL = 1000 mm R= 1000 mm t= 10 mmR/t = 100 L/R=1f02 = 100 N/mm2 n = 9 Pcr,th = N/mm2 L = 1000 mm R= 1000 mm t= 10 mmR/t = 100 L/R=1f02 = 100 N/mm2 n=8 Pcr,th = N/mm2 n=8 Class AClass CClass B n = 9EN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A. Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop16 EUROCODESB ackground and ApplicationsImperfection sensitivity curves (cylinders under torsion)Cylinders under torsionImperfection sensitivity curve0,00,20,40,60,81,00,00,20,40,60,81, 0W0/tPu /Pcr,thLongitudinal ImperfectionHelical ImperfectionR/t = 200 L/R = 2 t = 5 mmf02=200 N/mm2 cr,th = N/mm2 Class CClass BClass AEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A.

7 Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop17 EUROCODESB ackground and Applications() =xexP1)(()()() ==/1/1/1/11)(xexdxxdPxpCylinders under axial loadWeak hardening alloys - R/t = (x)Class AClass BClass CWeibull Curve AWeibull Curve BWeibull Curve C5% Percentile Value A B C f02 = 200 N/mm2 Semi-probabilistic interpretation of buckling data(axially loaded cylinders) - Weibull s lawEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A. Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop18 EUROCODESB ackground and ApplicationsCylinders under axial loadWeak hardening alloys - R/t = (x)Class AClass BClass CWeibull Curve AWeibull Curve BWeibull Curve C5% Percentile Value A B C f02 = 200 N/mm2()()() ==/1/1/1/11)(xexdxxdPxpSemi-probabilisti c interpretation of buckling data(axially loaded cylinders) - Weibull s lawEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A.

8 Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop19 EUROCODESB ackground and Applications shell plastic buckling imperfection sensitivity analysis of aluminium cylinders; set-up of buckling curves for aluminium shells; definition of imperfection classes for plastic buckling; interaction between load cases; introduction of additional shell configurations; stiffened shells imperfection sensitivity analysis of stiffened cylinders; validation of EN1993-1-6 procedures and harmonization withEN1999 rules; effect of welding effect (HAZ zones) imperfection sensitivity analysis of welded cylinders; definition of simplified Design procedures;Background activity - Main investigated aspectsEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A.

9 Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop20 EUROCODESB ackground and ApplicationsShell buckling EC3 formulation = < = =ppp2000011 ==1pxRcykfEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A. Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop21 EUROCODESB ackground and ApplicationsShell buckling fabrication tolerance classes in EC30max00maxgxogxUwwUtt AAEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A. Mandara)Fabrication tolerance quality class DescriptionClass A Excellent Class B High Class C Normal rt wox inwardAgx wox Agx t Gauge lengthmax4ogxURt=ADimple tolerance parameterBrussels, 18-20 February 2008 Dissemination of information workshop22 EUROCODESB ackground and ApplicationsExpressions of buckling factors according to EC3 Axial (meridional) load External pressure and torsion (shear) 0 Axial (meridional) load External pres-sure ( )

10 And torsion (shear) ( ) Fabrication tolerance quality class DescriptionQ x or Class A Excellent 400,75 Class B High 250,65 Class C Normal 16() += 0,50 EN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A. Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop23 EUROCODESB ackground and ApplicationsCylinders under axial load Weak hardening alloysQuality Class Minimum ValueMedium ValueMaximum Value5%Percentile ValueExperimental ValueEC3 CurveModified EC3 CurveComparison of EC3 buckling curves with simulation dataEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A. Mandara)Brussels, 18-20 February 2008 Dissemination of information workshop24 EUROCODESB ackground and ApplicationsCylinders under external pressureStrong hardening alloysQuality class L/R=2 R/T=200L/R=2 R/T=100L/R=2 R/T=50L/R=1 R/T=200L/R=1 R/T=100L/R=1 R/T=50L/R=4 R/T=200L/R=4 R/T=100L/R=4 R/T=50EC3 CurveModified EC3 CurveComparison of EC3 buckling curves with simulation dataEN 1999 - Eurocode 9: Design of aluminium structuresPart - Shell structures (A.)