In the photos shown the lumber looks like typical framing lumber.
Warped roof trusses.
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The first case is a foundation problem.
One of the most common causes of roof issues are problems related to the rafters or trusses.
It is also very important to find out why the trusses bowed in the first place you may be correct in your analysis that the trusses should have been cross.
Warped truss member from what i have seen in the past the wood used to make trusses is high quality lumber no knots 4 corners clear smooth grain.
Sagging rafters can lead to serious problems with the entire roofing system.
If a seasonal crack opens along a wall somewhere in the middle one or both truss ends are rising or the truss is arching.
Therefore giving them a good look is critical when addressing sagging bowed or wavy roofs.
They have issues for a wide variety of reason including damage from wind storms overloading from ice and snow leaks etc.
Trusses are designed to carry the weight of the roof on the ends that is the outer walls.
Roof trusses as well as most other framing components must be installed and blocked in order to prevent bowing.
Stabilizing a sagging roof with trusses joists.
When i bought my house the garage roof had a sag.
Its more common to see a bowed rafter.
Trusses offer close fabrication tolerances that benefit homes with complex roof framing configurations.
This is rare with an engineered truss system but i do occasionally see some that have broken on occasion.
First look for cracked plaster and warped window and door frames.
If you notice that there is a visible dip in your roof chances are you have a problem with one or several rafters and you may soon be facing more issues like water leaks bowed out walls or your roof caving in on you.
When a roof shifts it can make windows and doors difficult to open and close.
For homes with a unique roof shape trusses are the best choice for supporting a roof.