I want to repair cedar screen doors which have rotted at the bottom corners following weather exposure (and inattention by me). I would like to replace the horizontal piece of timber between floor level and the bottom of the flyscreen. This would involve cutting off the rotted section of the damaged vertical timbers and attaching a new piece across the full width of the door. This will weaken the structure of the door, but my hope is that this could be managed sufficiently by screwing a rigid vertical metal strip across the join between the existing vertical timber and the new piece at the bottom. The repair would be visible but not too ugly if done neatly. The only alternative seems to be spending 1000s on new doors. The doors are not prominent - at the end of a south-facing deck and used only occasionally during warmer months.
Advice or suggestions on ways to deal with this issue and on the practicality of my current plan would be appreciated.
Timber rotting at bottom corners