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For crossing diagonal elements, the buckling length perpendicular to the diagonal plane, is calculated according to Ref.[9] EN 1993-2, Table D.2 and Ref.[4], DIN18800 Teil 2, table 15.
According to this method the buckling length factor β is no longer purely geometric data but is also dependent on the load distribution in the element.
In the following chapters, the buckling length factor β is defined,
with
|
β |
Buckling length factor |
|
l |
Length of the diagonal |
|
l1 |
Length of the supporting diagonal |
|
I |
Moment of inertia (in the buckling plane) of the diagonal |
|
I1 |
Moment of inertia (in the buckling plane) of the supporting diagonal |
|
N |
Compression force in the diagonal |
|
N1 |
Compression force in the supporting diagonal |
|
Z |
Tension force in the supporting diagonal |
|
E |
Elasticity modulus of Young |