lateral torsional stability of timber beams

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Baláž Ivan & Koleková Y vona Faculty of Civil Engineering Slovak University of Technology in Bratislava Slovak Republic, EU Lateral torsional stability of timber beams M2D2015, Ponta Delgada, Azores, 26-30 July 2015

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Page 1: Lateral torsional stability of timber beams

Baláž Ivan & Koleková Yvona

Faculty of Civil Engineering

Slovak University of Technology in Bratislava

Slovak Republic, EU

Lateral torsional stability of

timber beams

M2D2015, Ponta Delgada, Azores, 26-30 July 2015

Page 2: Lateral torsional stability of timber beams

Lateral Torsional Buckling

Page 3: Lateral torsional stability of timber beams

Die Espe Die Birke

ASPEN BIRCH

OSIKA BRZOZA

Page 4: Lateral torsional stability of timber beams

LTB of member will occur even if it is

loaded in the plane of minor stiffness

when point of load application is too

high over shear center

This phenomenon is called „mosquito wings“ effect

.

Page 5: Lateral torsional stability of timber beams

Structure magazine, February 2008

Page 6: Lateral torsional stability of timber beams
Page 7: Lateral torsional stability of timber beams

Elastic critical moment Mcr

„fork“ boundary conditions, uniform bending moment M,

uniform nonwarping cross-section: warping stiffness EIw= 0 kNm4

L

GIEIM

tz

cr

EIz bending stiffness

GIt torsional stiffness

L span

Page 8: Lateral torsional stability of timber beams

Taking into account all influences

L

GIEIM

tz

cr

Page 9: Lateral torsional stability of timber beams

C1, C2, C3 are coefficients depending on

type of loading and boundary conditions

For symmetric cross-section to axis y-y is zj = 0

Page 10: Lateral torsional stability of timber beams
Page 11: Lateral torsional stability of timber beams

ENV 1993-1-1, ENV 1999-1-1

Page 12: Lateral torsional stability of timber beams
Page 13: Lateral torsional stability of timber beams

ENV 1993-1-1, ENV 1999-1-1

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Page 15: Lateral torsional stability of timber beams

Cantilever

Page 16: Lateral torsional stability of timber beams
Page 17: Lateral torsional stability of timber beams
Page 18: Lateral torsional stability of timber beams

EN 1999-1-1 EN 1995-1-1

steel + alumunium timber

Page 19: Lateral torsional stability of timber beams
Page 20: Lateral torsional stability of timber beams

X =

X =

Page 21: Lateral torsional stability of timber beams
Page 22: Lateral torsional stability of timber beams
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F at the free end of the cantilver

Page 26: Lateral torsional stability of timber beams
Page 27: Lateral torsional stability of timber beams

CONCLUSION

Harmonization and unification of rules

of metal (steel, aluminium) and timber

Eurocodes, if it is reasonable,

will be good for everybody

especially for designers in practice.

Shortening of Eurocodes is desirable.

Page 28: Lateral torsional stability of timber beams

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