What to do with run-down workshop on rental property

[Will King]

I have a rental property that has a workshop in the yard.  It is basically dilapidated, with multiple leaks, rotting floor, doors don't latch, etc.  

My question is what should I do with this building.  I don't want to spend money to fix it up.  Ideally it would be available for the tenants' use as a storage building.

I just don't want the new tenants to move in and then start demanding that the building be fixed up.

Should I padlock it and make it off-limits to the tenants?  Tear it down?

Thanks!!