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I don't know if there is a formula, but I'd want the screws to be in the brick at least as deep as the thickness of trellis they're going through. So, (trellis thickness) * 2
As for thickness of screw, probably depends on how many you will use. From your description, doesn't sound like they will be under much shear stress so more likely to be pulled out than sheared off. I would go for more of them but not too beefy.
stevo_com
@hugo7
What length screws do I need to secure privacy trellis to a single course(sp?) brick wall? Or more to the point how much thread needs to be in the wall? Given that I haven't said how thick they, or the batons are.
Trellis will be 90cm high with 45cm above/on top of the wall and 45cm against the wall. The alley most of it is located gets a savage wind when the wind picks up.
Cheers.