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1 Chair for Metal Structures M. Sc. Thesis Erik Zupančič TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS.

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Presentation on theme: "1 Chair for Metal Structures M. Sc. Thesis Erik Zupančič TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS."— Presentation transcript:

1 1 Chair for Metal Structures M. Sc. Thesis Erik Zupančič TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS ROTATION CAPACITY OF SEMI RIGID CONNECTIONS Faculty for Civil and Geodetic Engineering at University in Ljubljana

2 2 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - INTRODUCTION - EUROCODE 3 – ANNEX J AND ROTATION CAPACITY - ROTATION CAPACITY - CHARACTERISTICS OF COMPONENTS - NUMERICAL EXAMPLE - CONCLUSIONS

3 3 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - STATIC SYSTEM - YESTERDAY - Pinned connections - Rigid connections - TODAY - Semi rigid connections (rotation springs) q pinned semi rigid rigid pinned rigid semi rigid

4 4 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - ENV 1993: Design of steel structures, Part 1.1: General rules for buildings, Annex J: Joints in building frames - Classification of connections by stiffness - Classification of connections by strength - Characteristics of connections (diagram rotation – moment) - Resistance of connections - Initial rotational stiffness - Rotation capacity

5 5 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - Classification of connections by stiffness I b – Second moment of area of a beam L b – span of a beam 1. Rigid connections: 2. Semi rigid connections: 3. Pinned connections: Braced frames Unbraced frames

6 6 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - Classification of connections by strength M Full strength connections Partial strength connections Pinned connections Plastic hinge Full strength Plastic hinge Partial strength

7 7 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - Component method Column web in tension Q sd M Column flange and End plate in bending Column web in shear Column web in compression Connection Components of connection F Rd,i, k i Connection M j, S j

8 8 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) M a b c a b F F c c F F 1 F 3 F 2 b a M M 2 M 3 M 1 Components Connection - Rotation capacity

9 9 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - Characteristics of components F FiFi 2/3 F i SiSi u y - for: Column web in compression Column web in tension Column flange in bending End plate in bending - for: Column web in shear

10 10 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - Deformation capacity of column web in compression - Axial force (0% N pl - 50% N pl ) - Slenderness d/t w ( )

11 11 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - Modelling with program ABAQUS - Material – Results of numerical simulation - Initial geometric imperfection – Results of numerical simulation - Number of elements – Results of numerical simulation - Type of elements – Results of numerical simulation

12 12 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - Numerical analysis ABAQUS d/t w = Displacement [mm] Displacement - Force Force [kN]

13 13 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - Determination of expressions Limit deformations Slenderness

14 14 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - Deformation capacity expressions of components (mode 1)(mode 2)(mode 3) Column web in compression Column web in shear Column web in tension Column flange and end plate in bending

15 15 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - Numerical example (rotation capacity = ?) Material: S 235 Bolts: M20 (8.8) Annex – J (resistance, initial stiffness), M. Sc. Thesis (limit displacement) Compression Tension End plate Column flange Shear Diagrams

16 16 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - Numerical example (rotation capacity = ?) Compression Tension End plateColumn flangeShear 202 kN

17 17 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - Conclusions - 3D numerical model - Initial geometric imperfection - Material characteristics - Column web in compression - Expected results (bigger axial force, biger slenderness – smaller limit displacement) - Column web in tension - Comparision of expressions with numerical simulation

18 18 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - Column web in shear - Expected results (bigger axial force, smaller ratio height/width of panel – smaller limit rotation) - Column flange and end plate in bending - Equivalent T – Stub (three different modes) - Mode 1 (plastification of plate) - Mode 2 (plastification of plate and bolt) - Mode 3 (plastification of bolt) - Comparision of expressions with numerical simulation

19 19 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - Component method - Simple calculation of rotation capacity of connection - Difficult calculation of all three characteristics of connection - Good results (comparision of method results with test results)

20 20 TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS M. Sc. Thesis: Rotation capacity of semi rigid connections (by Erik Zupančič) - Future work - Method of expansion on all types of connections - 3D numerical simulation of complete connection - More experimental tests - Comparision of several calculated examples with tests - Behaviour of components and expressions - Parametric studies of influence of components on connections

21 21 Chair for Metal Structures M. Sc. Thesis Erik Zupančič TABLE OF CONTENTSINTRODUCTIONEUROCODE 3 - ANNEX JROTATION CAPACITYCOMPONENTSNUMERICAL EXAMPLECONCLUSIONS ROTATION CAPACITY OF SEMI RIGID CONNECTIONS Faculty for Civil and Geodetic Engineering at University in Ljubljana


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