= the number of ‘dead’ loadgroups (for example: self weight, dead loads)
= the number of ‘life’ loadgroups (for example: life load A, wind, snow, temperature)
The total number of load combinations in ULS FC according to EN 1990 [–] equ. 6.10 will be:
![\[2^n \cdot (k \cdot 2^(^k^-^1^) + 1)\]](https://support.buildsoft.eu/wp-content/ql-cache/quicklatex.com-685706d1207c8570d0c3072c0f9a8b74_l3.png "Rendered by QuickLaTeX.com")
Example:
= 3, = 5, total number of load combinations ULS FC according to EN 1990 [–] is:
![\[2^n \cdot (k \cdot 2^(^k^-^1^) + 1)=2^3 \cdot (5 \cdot 2^(^5^-^1^) + 1)=648\]](https://support.buildsoft.eu/wp-content/ql-cache/quicklatex.com-353ff42618df3e47a5a6e0f4f3b67106_l3.png "Rendered by QuickLaTeX.com")
Remarks:
- This formula assumes all load groups have a
factor different from 0. - This formula does not included the effect of:
- Linked load groups
Linking 2 dead loads, will divide the number of load combinations by 2. Linking 3 dead loads, will divide the number of load combinations by 2*2, and so on. - Incompatible load groups
- Sub load cases
- Crane loads
Each position of the crane load will be translated into a sub load case behind the scene.
- Linked load groups
- For the EN 1990 [NL] the total number must be multiplied by 2. This national annex uses equations 6.10a and 6.10b, instead of equation 6.10.
