Yak,
You are right on the money as far as side wall height . It is 9 ' tall .The roof pitch is 6/12 as 7/12 is not a commonly used roof pitch in barn design architecture inless this was designed by somone other than a designer or architect . The Cupola roof is 12/12 or less on this particular barn . The Cupola is small ,so the designer was able to get away with this roof pitch and still bring the building into a appealing prospective . It serve no function other than looks ,I believe , from looking at this picture. I see no gable end venting of any kind which leads me to believe that cross ventilation was not considered in design . I will bet you money the that if a truss was used there is no "loft area" as most trusses are on 24" centers with diagonal cross webbing chords for roof strength depending on the required Snow Load rating . Again I would bet that the hay loft door above is fake and for looks only . Trusses are wonderful but not for Barns ,where a loft is needed in the attic area . At least not with a common "Gable" truss as this appears to be .A "Grambel" truss design would be much better suited but even it would eat up a lot of floor space in the loft area . Of course this would also raise your roof construction cost considerably .
I would attach the shed roof to a solid 2x6 framing bolted to the ends of the trusses using metal roof ties or overlap and laminate the shed rafter along side the top truss chord , whichever you prefer . The shed roof is a great way to pick up low cost additional floor space ,so you might want to consider running on down both sides .
Which direction do your storms come in from ? Give that a lot of thought also . A barn door that is constantly getting buried with snow is a pain to keep clear when a little preplanning could have made life easier .
While your at it look at how drainage will flow away from the barn. This is critical if you plan to use it for livestock . And lastly look and consider the placement verus solar angle .
Look at the old "great barns" that are still standing and operational after a hundred years you will notice that all these barns had one thing in common . Great preplanning ! Those old ranchers and farmers were pretty smart !
There is a great book to help you elimiate making mistakes and you might try to locate one to borrow to study . DON'T even think of buying one as they are super costly . Mine cost over $700 dollars . They are the Bible for architects . It is called "Architectual Graphics Standards" A college should have one that you may be able to use ,but I bet you cannot leave the architectual class room with it as was the case when I studied in college .
If you are planning on boarding horses , a whole new set of perameters must be considered .
Make a 1/4" to 1/2" scale model out of Balsa wood so you can play with your design a little . Its easy , cheap and you can get the wood at any hobby shop . Make the roof removable so you can remove it to study how you want the interior walls, doors ,windows etc, to be used to your best advantage . Cut scaled down "paper cut outs" of tractor ,equipment ,hay, animals, etc to make sure you have the most efficent design for your needs . A great way to spend a wet ,cold afternoon !
A roll up or sectional door is a great way to go but they are not as tough as the old sliding barn door style . Easy to insulate but don't handle a ill temper kick or bump from an animal as well .
Have Fun !
Allen