ROTATION CAPACITY OF SEMI RIGID CONNECTIONS

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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
Faculty for Civil and Geodetic Engineering at
University in Ljubljana
M. Sc. Thesis
ROTATION CAPACITY OF SEMI RIGID CONNECTIONS
Chair for Metal Structures
Erik Zupancic
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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• INTRODUCTION
• EUROCODE 3 ANNEX J AND ROTATION CAPACITY
• ROTATION CAPACITY
• CHARACTERISTICS OF COMPONENTS
• NUMERICAL EXAMPLE
• CONCLUSIONS

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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• STATIC SYSTEM
• YESTERDAY
• Pinned connections
• Rigid connections
• TODAY
• Semi rigid connections
• (rotation springs)

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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• 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

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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• Classification of connections by stiffness

Braced frames Unbraced frames
Ib Second moment of area of a beam Lb span of
a beam
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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• Classification of connections by strength

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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• Component method

Connection Components of connection FRd,i ,
ki Connection Mj , Sj
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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• Rotation capacity

Components
Connection
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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• Characteristics of components

- d for Column web in compression Column web in
tension Column flange in bending End plate in
bending - f for Column web in shear
F
Fi
2/3 Fi
Si
d, f
du , fu
dy, fy
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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• Deformation capacity of column web in compression

• Axial force (0 Npl - 50 Npl)
• Slenderness d/tw (10 - 60)

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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• 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

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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• Numerical analysis

d/tw 27.13
ABAQUS
Displacement - Force
Force kN
Displacement mm
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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• Determination of expressions

Limit deformations
Slenderness
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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• Deformation capacity expressions of components

Column web in compression
Column web in shear
Column web in tension
Column flange and end plate in bending
(mode 1)
(mode 2)
(mode 3)
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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• Numerical example (rotation capacity ?)

Material S 235   Bolts M20 (8.8)
Annex J (resistance, initial stiffness), M. Sc.
Thesis (limit displacement)
Shear
Compression
End plate
Column flange
Tension
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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• Numerical example (rotation capacity ?)

202 kN
202 kN
End plate
Column flange
Shear
202 kN
Compression
202 kN
202 kN
Tension
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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• 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

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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• 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

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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• 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)

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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
M. Sc. Thesis Rotation capacity of semi rigid
connections (by Erik Zupancic)

• 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

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TABLE OF CONTENTS INTRODUCTION EUROCODE 3 - ANNEX J ROTATION CAPACITY COMPONENTS NUMERICAL EXAMPLE CONCLUSIONS
Faculty for Civil and Geodetic Engineering at
University in Ljubljana
M. Sc. Thesis
ROTATION CAPACITY OF SEMI RIGID CONNECTIONS
Chair for Metal Structures
Erik Zupancic