OP said:
I have a 30m length building with a slope of 1:10. using I-section (built-up) can i take the major axis unbraced length of the rafter to 15.0m. (Considering them like two cards from a deck inclined to each other).
We're talking about a pre-engineered metal building system here, right? I'll assume so. It's not an easy question to answer. Here's what I think I know:
1) At such shallow slopes, one starts to wonder if snap through buckling at kL = 30 m becomes the issue dujour.
2) Traditionally, using the equivalent length method, designers have assumed kL = 15 m for slopes as low as 1/4" per foot. And there haven't seemed to be any problems to my knowledge.
3) The direct design method, where second order effects are accounted for explicitly with K = 1.0, would seem to be a more appropriate design method.
4) Research has indicated that the reason for kL = 15 m has less to do with the "two cards" business and more to do with the rotational end restraint provided at the rafter ends. And that restraint varies with column height which makes the whole thing quite difficult to nail down.
For me, it's:
1) the direct design method OR
2) use kL = 30 m in combination with rotational springs at the ends calculated with some consideration for the softening effect of axial loads in the columns OR
3) Look at snap through buckling at kL = 30 and, if that's far in excess of kL = 15 m capacity, go with kL = 15 m.
I like to debate structural engineering theory -- a lot. If I challenge you on something, know that I'm doing so because I respect your opinion enough to either change it or adopt it.