Maxumum span for unsupported foam?

Woking on my ceiling / roof this evening and I started thinking...
There is a four foot section of the ceiling that is the full width of the trailer. (6 feet)
With two inch foam, sheet skin inside and canvas out, is this too far of an unsupported span?
I realize you could never get on the roof, but..
In the summer, camping, I think it would be fine. In the winter, do you think the 'snow load' would be too much and it cave in? Its not unusual to have a foot of snow and in the spring it becomes heavy.
The roof is glued up, (6x8 feet), but I could cut it up and put a few ribs across, then re glue. Or add another layer and make it thicker. ( more $$$, I thought I was done buying foam)
Ideas?
Am I over engineering/thinking?
Thanks
Warren

There is a four foot section of the ceiling that is the full width of the trailer. (6 feet)
With two inch foam, sheet skin inside and canvas out, is this too far of an unsupported span?
I realize you could never get on the roof, but..
In the summer, camping, I think it would be fine. In the winter, do you think the 'snow load' would be too much and it cave in? Its not unusual to have a foot of snow and in the spring it becomes heavy.
The roof is glued up, (6x8 feet), but I could cut it up and put a few ribs across, then re glue. Or add another layer and make it thicker. ( more $$$, I thought I was done buying foam)
Ideas?
Am I over engineering/thinking?

Thanks
Warren