Rainboe,
Don't tell me....
I should print out this thread, sit down with pen and paper and a calculator, and try to get my ideas sorted out, rather than answering all these posts off-the-cuff.
By the time you talk about a really steep climb, you're talking about hanging on your prop, or sitting on your exhaust... i.e., a thrust-to-weight close to 1, and your wing normal force is becoming pretty well irrelevant in your steady climb.
CJ
And... oh shoot....
Suddenly saw I missed half a dozen posts, and it's getting late at UTC+2 (I think). See you tomorrow... ?