Ahoy Brian,
I'm not sure about the math, but we did raise our cabin roof. I do not recall what the actual inches were, but the interior is a full 48 inches high, as much as a single sheet of plywood would allow.
I believe one builder from Canada raised his cabin height some 6 inches or so. Ours would match or exceed that. (It would seem that our modification falls in the average range of 7 or 8 inches above Stevenson design.) What we did, however, was to lower the sides of the cabin, rather than to raise everything uniformly. By uniformly I mean extending the height by the same dimension everywhere. That might work, but for us, the height of our apex would have made the cabin sides higher than we wanted. Here is a photo of how the design turned out.
Miss Pat wanted a gingerbread look to the cabin bulkhead, a look similar to what a gypsy wagon might have had. In my opinion, the wall height is not nearly as critical as is the apex. We have full headroom along the entire length of the berth. By that I mean, I can sit on the berth anywhere and be able to read a book. We reasoned that the cabin wall height was not as critical as the apex height. After all, it would be physically impossible to sit immediately next to the cabin wall anyway. So, if we could create ample headroom with a high apex, and achieve ample headroom so we could be comfortable while sitting on a berth, our modification would be acceptable. We wanted to have an illusion of having a lowered cabin when that was not the case.
In my opinion, if you raise the height by 4 or 6 inches everywhere, the result will be a look more akin to a tug boat than a sailboat. At least, that's the way ours looked until we cut the cabin sides back more proportionally.
In brief, here is what I would suggest; raise the apex to a full 48" inches (the width allowed by a full plywood sheet); gradually cut back on the cabin height until you have the look you want. Incorporate a bulwark or raised toe rail to help hide the raised look of the cabin. Keep everything in proportion. I remember going back some 30 feet and squinting before I cut back the sides of the cabin. In short, go tall, and then trim to get the look you want.
Don't change the arch of the rafter. Here, follow what Stevenson has laid out. The man from Canada who raised everything 6 inches had problems coming up with a new rafter arch. In fact, he personally shared some thoughts with me to help us avoid the problem he had faced.
Raise your apex to the maximum height, cut your cabin walls by sight, and keep the Stevenson arch. You can change the look of the arch on the cabin bulkhead. We did that, as I mentioned just so Miss Pat could have the gingerbread look she wanted. We planned on having louvered doors from the beginning and wanted maxim headroom, and proportional sides.
One other thought in passing, a vertical bulkhead with a 48 inch apex is higher that a angled bulkhead cut to 48 inches. Here, we radically changed the Stevenson plans which call for an angled bulkhead.
Here's a photo illustrating the look of the raised cabin wall from the exterior. For us, the look was not objectionable, but as I said, we did not raise everything uniformly. Our cabin walls, though are considerably higher than the stock Vacationer. (I am uncertain here, but the original Stevenson plans may call for the cabin walls to be set at an angle, rather than plumb.)
Here's an interior perspective. The rafter follows the Stevenson arch.
I would suggest reinforcing the cabin wall bulkhead corner. We used a large cove here, similar to what has been traditionally used.
Here is another interior photo:
Here is a look at the outside of the cabin bulkhead.
The beam running athwartship is something
Paul Riccelli would highly recommend. Here, I followed his advice and then, through-bolted floor, sole, and keel. I am not an engineer, but from my perspective, this juncture would have to be weak, and therefore, needs reinforcement.
Craig Gleason also cautioned me about the potential structural weakness at this juncture.
Another modification we did that seemed to help was to make our cabin 7 feet rather than 8 feet. The extra room we added to the cockpit. Our cockpit is about 7 feet in length. We also followed
Chris Gerkin's modification and made our cockpit follow a horseshoe design, achieving the same layout as the original Friendship Sloop. Our foot area, for example, is about 3 feet, nothing tapers. No one is cramped. (
Gaff Rig has a number of featured articles on Chris Gerkin's fine boat. Take a look at some of the photos.)
We did extend the length of the sole in the cockpit area by some 18 inches, but retained the width of the original design at the stern. By eliminating the Stevenson end triangle on the keel, we were able to achieve another 14 inches. As a result, our cockpit is very large.
The acute angle of our transom also made a 4 foot aft deck possible.
We intend to hide the floor next to the bulkhead with a bridgedeck. The bridgedeck will also house a bilge pump and serve as storage for tools.
If I had to do anything over again, I might raise the height of the cabin door opening to allow for a higher bridgedeck. If you do that, I would suggest that you keep the opening as a rectangle rather than as a square.
Otherwise, the opening will not look right. Something there is about a square.
These suggestions are intended only as that. Take or reject whatever you like. This is what worked for us.