Fake thickness / opacity material - Help

Hello.
I need to make fake thickness on opacity masked material (some sort of fence)

I use Bump offset - but I have problems of stacking the bump offset-s+opacity - Very messy results :-/
Can someone show me how to stack them correctly?

Example picture of what I want to make:

If you’re still searching smh or for anyone else searching,

You can use the “ parallax ocllusion mapping “ node to add depth to your texture without adding any vertices with a masked materials to achieves this effect.