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M1 BSP crossplan<br />

Design according to<br />

ETA-09 / 0036<br />

General<br />

The following applies for<br />

a 5-layer symmetrical<br />

lay-up:<br />

Flexibility factors γ<br />

12 Mayr-Melnhof Kaufmann<br />

STRUCTURAL DESIGN<br />

Design of the cross-laminated timber may be carried out according to EN 1995-1-1 and EN<br />

1995-1-2 allowing for Appendices 2 to 4 of the European technical approval. Only lamellas<br />

which are arranged in the direction of the mechanical stress may be taken into consideration<br />

for calculation of the characteristic cross-sectional values. Reference must be made to the<br />

characteristic strength and stiff ness of the solid timber according to to Appendix 3 (of European<br />

Technical Approval 09-0036) for designing the components made of cross-laminated timber<br />

in accordance with E 1995-1-1. Diff erent stiff nesses must be taken into consideration in both<br />

main directions for cross-laminated timber with multi-axial spaning in both main directions.<br />

Panel stress of the cross-laminated timber<br />

The eff ective bending stiff ness depends on the eff ective moment of inertia Ieff . Calculation of<br />

the eff ective moment of inertia and therefore of the eff ective bending stiff ness time is carried<br />

out acc. to E 1995-1-1 (Section 9.1.3 and Appendix B):<br />

� Distances between centres of gravity:<br />

with<br />

and<br />

for symmetrical lay-up<br />

The fl exibility factors γ allow for the shear deformation (rolling shear) of the cross-wise layers,<br />

the expression of EN 1995-1-1 should be replaced by<br />

� The fl exibilities thus arise from:<br />

� where:<br />

E 1,3 = 11600 N / mm² modulus of elasticity for C24<br />

G 9090 = 50 N / mm² modulus of shear for C24<br />

l = decisive width between supports<br />

where<br />

where<br />

t tot<br />

individual moment of inertia of longitudinal layers i = 1 to 3<br />

areas of the longitudinal layers<br />

t 1<br />

t 2<br />

t 3<br />

b<br />

t 1<br />

t 2<br />

Version 1 / 2011

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