I want to avoid to cut all necessary supporting loops into the mesh instead I'm searching a non-destructive solution for multiple widths using the bevel modifier.
I tested the various options (edge crease, angle, vertex groups) but none of them seem to work in this case.
How can I have a bigger beveled edge at the red areas but kepping the smaller ones?
Here is the file (Blend-Exchange won't upload me anything.) https://www.sendspace.com/file/ne0eiw