Also if you apply a pinned BC directly over the face of the section it will act like a encastre globally. The pinned face can react a moment through a couple.
Q1
The vertical component of F, Fsin(a) would cause the bracket to turn ACW about the overturning point they've used. Whilst the horizontal component Fcos(a) that is greater (based on the perspective) is causing it to turn CW. Conservatively you could leave it on, though you'd be artificially...
Dik,
A reference for the steel would be BS EN 10025-2. As the flanges in the example desertfox posted are 30 THK it drops to 345MPa 16mm <= t < 40mm, ratner than t < 16mm.
As for chi, I'm not completely sure. Just had a quick skim through EC3, chi is listed as a buckling reduction factor...