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Training Course onDesign of Cold-formed Steel Structures

Eurocode 3: Design of Steel Structures 

Part 1-3 – Design of Cold-formed Steel Structures

Resistance of Members

Professor Dan Dubina 

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Behaviour and Design Resistance of Bar Members 

• General

• Compression members

• Buckling strength of bending members

• Buckling of members in bending and axial compression

• Beams restrained by sheeting

• Design of beams at serviceability limit states

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Behaviour and Design Resistance of Bar Members

General

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Theoretical background

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Theoretical background

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Theoretical background

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Theoretical background

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Theoretical background

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Imperfect member

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Imperfect member

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Imperfect member

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Imperfect member

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Imperfect member

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Class 4 sections: local-global interactive

buckling

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Class 4 sections: local-global interactive

buckling – Direct Strength Method

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Class 4 sections: local-global interactive

buckling – Direct Strength Method

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Class 4 sections: local-global interactive

buckling – Direct Strength Method

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Class 4 sections: local-global interactive

buckling – ECBL approach

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Class 4 sections: local-global interactive

buckling – ECBL approach

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Behaviour and Design Resistance of Bar Members

Compression members

• Theoretical background – Class 4 sections: local-global interactive

buckling – ECBL approach

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Behaviour and Design Resistance of Bar Members

Compression members

• Buckling resistance of uniform members in compression.

Design according to EN1993-1-3 

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Behaviour and Design Resistance of Bar Members

Compression members

• Buckling resistance of uniform members in compression.

Design according to EN1993-1-3 

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Behaviour and Design Resistance of Bar Members

Compression members

• Buckling resistance of uniform members in compression.

Design according to EN1993-1-3

Flexural buckling

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Behaviour and Design Resistance of Bar Members

Compression members

• Buckling resistance of uniform members in compression.

Design according to EN1993-1-3

Torsional and Flexural-Torsional buckling

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Behaviour and Design Resistance of Bar Members

Compression members

• Buckling resistance of uniform members in compression.

Design according to EN1993-1-3

Torsional and Flexural-Torsional buckling

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Behaviour and Design Resistance of Bar Members

Compression members

• Example – Design of an internal wall stud in compression 

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Behaviour and Design Resistance of Bar Members

Compression members

• Example – Design of an internal wall stud in compression 

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Behaviour and Design Resistance of Bar Members

Compression members

• Example – Design of an internal wall stud in compression 

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Behaviour and Design Resistance of Bar Members

Compression members

• Example – Design of an internal wall stud in compression 

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Behaviour and Design Resistance of Bar Members

Compression members

• Example – Design of an internal wall stud in compression 

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Behaviour and Design Resistance of Bar Members

Compression members

• Example – Design of an internal wall stud in compression 

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Behaviour and Design Resistance of Bar Members

Compression members

• Example – Design of an internal wall stud in compression 

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Behaviour and Design Resistance of Bar Members

Compression members

• Example – Design of an internal wall stud in compression 

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Behaviour and Design Resistance of Bar Members

Compression members

• Example – Design of an internal wall stud in compression 

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Behaviour and Design Resistance of Bar Members

Compression members

• Example – Design of an internal wall stud in compression 

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Behaviour and Design Resistance of Bar Members

Compression members

• Example – Design of an internal wall stud in compression 

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Behaviour and Design Resistance of Bar Members

Compression members

• Example – Design of an internal wall stud in compression 

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Behaviour and Design Resistance of Bar Members

Compression members

• Example – Design of an internal wall stud in compression 

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Behaviour and Design Resistance of Bar Members

Compression members

• Example – Design of an internal wall stud in compression 

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Behaviour and Design Resistance of Bar Members

Compression members

• Example – Design of an internal wall stud in compression 

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Behaviour and Design Resistance of Bar Members

Compression members

• Example – Design of an internal wall stud in compression 

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Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

• Theoretical background

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• Theoretical background

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Theoretical background

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Theoretical background

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Theoretical background

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Theoretical background

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Theoretical background

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Theoretical background

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Theoretical background

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Theoretical background

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Design according to EN1993-1-3

Lateral-torsional buckling of members subject to bending

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Design according to EN1993-1-3

Lateral-torsional buckling of members subject to bending

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Design according to EN1993-1-3

Simplified assessment methods for beams with restraints in building

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Buckling strength of bending members

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Behaviour and Design Resistance of Bar Members

Compression members

• Buckling of members in bending and axial compression

Theoretical background

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• Theoretical background

Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

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• Theoretical background

Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

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• Design of beam-columns according to EN1993-1-1 and EN1993-1-3

Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

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• Design of beam-columns according to EN1993-1-1 and EN1993-1-3

Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

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• Design of beam-columns according to EN1993-1-1 and EN1993-1-3

Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

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• Design of beam-columns according to EN1993-1-1 and EN1993-1-3

Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

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• Design of beam-columns according to EN1993-1-1 and EN1993-1-3

Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

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• Design of beam-columns according to EN1993-1-1 and EN1993-1-3

Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

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• Design of beam-columns according to EN1993-1-1 and EN1993-1-3

Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

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• Design of beam-columns according to EN1993-1-1 and EN1993-1-3

Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

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• Design of beam-columns according to EN1993-1-1 and EN1993-1-3

Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

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• Design of beam-columns according to EN1993-1-1 and EN1993-1-3

Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

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Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

• Design of beam-columns according to EN1993-1-1 and EN1993-1-3

General method for lateral and lateral-torsional buckling of structural

components

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Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

• Design of beam-columns according to EN1993-1-1 and EN1993-1-3

General method for lateral and lateral-torsional buckling of structural

components

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Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

• Design of beam-columns according to EN1993-1-1 and EN1993-1-3

General method for lateral and lateral-torsional buckling of structural

components

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Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

• Design of beam-columns according to EN1993-1-1 and EN1993-1-3

General method for lateral and lateral-torsional buckling of structural

components

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Behaviour and Design Resistance of Bar Members

Buckling of members in bending and axial compression

• Design of beam-columns according to EN1993-1-1 and EN1993-1-3

General method for lateral and lateral-torsional buckling of structural

components

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

• General. Constructional detailing and static system

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

• General. Constructional detailing and static system

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

• General. Constructional detailing and static system

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Modeling of beam-sheeting interaction

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Modeling of beam-sheeting interaction

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Modeling of beam-sheeting interaction

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Modeling of beam-sheeting interaction

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Modeling of beam-sheeting interaction

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design criteria

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design criteria

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design criteria

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design resistance – resistance of cross-section

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design resistance – Resistance of cross-section

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design resistance – Buckling resistance of free flange

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design resistance – Buckling resistance of free flange

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design resistance – Buckling resistance of free flange

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design resistance – Buckling resistance of free flange

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design resistance – Buckling resistance of free flange

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design resistance – Rotational restraint given by the sheeting

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design resistance – Rotational restraint given by the sheeting

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design resistance – Rotational restraint given by the sheeting

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design resistance – Rotational restraint given by the sheeting

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design resistance – Rotational restraint given by the sheeting

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design resistance – Rotational restraint given by the sheeting

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design resistance – Rotational restraint given by the sheeting

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Design resistance – Rotational restraint given by the sheeting

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Simplified design of purlins

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Simplified design of purlins

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Simplified design of purlins

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Simplified design of purlins

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Simplified design of purlins

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Simplified design of purlins

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Simplified design of purlins

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Simplified design of purlins

h i d i i f b

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Behaviour and Design Resistance of Bar Members

Beams restrained by sheeting

•  Design of beams restrained by sheeting according to EN1993-1-3Simplified design of purlins

B h i d D i R i f B M b

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Behaviour and Design Resistance of Bar Members

Design of beams at serviceability limit states

•  General 

B h i d D i R i f B M b

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Behaviour and Design Resistance of Bar Members

Design of beams at serviceability limit states

•  Example – the SLS check of a cold-formed steel member in bending

This example continues the Example done for

ULS check for a cold-formed steel beam in

bending, with the serviceability limit state (SLS)

check. The beam has pinned end conditions and

is composed of two thin-walled cold-formed

steel back-to-back lipped channel sections, with

a span L = 4.5 m.

B h i d D i R i t f B M b

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• Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Design of beams at serviceability limit states

B h i d D i R i t f B M b

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•Example – Design of an cold-formed steel beam in bending 

Behaviour and Design Resistance of Bar Members

Design of beams at serviceability limit states

B h i d D i R i t f B M b

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Behaviour and Design Resistance of Bar Members

Design of beams at serviceability limit states

• Example – the SLS check of a cold-formed steel member in bending

Beha io r and Design Resistance of Bar Members

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Behaviour and Design Resistance of Bar Members

Design of beams at serviceability limit states

• Example – the SLS check of a cold-formed steel member in bending

Behaviour and Design Resistance of Bar Members

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Behaviour and Design Resistance of Bar Members

Design of beams at serviceability limit states

• Example – the SLS check of a cold-formed steel member in bending

Behaviour and Design Resistance of Bar Members

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Behaviour and Design Resistance of Bar Members

Design of beams at serviceability limit states

• Example – the SLS check of a cold-formed steel member in bending

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Behaviour and Design Resistance of Bar Members

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Behaviour and Design Resistance of Bar Members

Design of beams at serviceability limit states

• Example – the SLS check of a cold-formed steel member in bending