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The P26 mast is supported by a plywood beam that's about 2-1/2 to 3" thick and sits in a socket in the headliner. The deck in this area is cored with plywood and is about 1-1/4" thick overall. The beam itself supported by two oak compression posts that make up either side of the doorway from the main cabin to the head. At the bottom these two compression posts sit on blocking and are thru-bolted to the fiberglass liner. The compression posts are also fastened to the main bulkheads for further stiffness. It is all pretty robust and the mast is well supported (provided all these components are intact). The structure is the same on the OD and weekender versions though the fiberglass pan is a little different. The bulkhead is also different on the OD. I was never worried about distorting the deck from rig tension on my P26.
What you do not have is forward or aft shrouds. The upper and lower shrouds are in-line. In the OD these are about 6" further inboard (hence the different bulkheads). So the rig is simpler to tune but can seem a bit loose fore/aft if you grab the mast and shake it in that direction. But I never felt like this was an issue while sailing. But I was wary of flying just a genoa (without the main up) but that may have been unfounded.
Look at the Bill Shaw guide that was posted in another reply by Bob Maxwell. Tune the rig to be reasonably tight and to get the mast centered and straight. Go sailing in 10-12 kts. Close hauled it should stay centered and straight. If it doesn't it's not quite tight enough. The headstay/backstay are less critical for tuning and if you don't have one a backstay adjuster is a great addition to a P26 and gives you very useful control over headsail shape. Snugging it up as the wind speed increases can let you get to a few more kts of wind before needing to change sails or reef.
Problems with the structure supporting the mast can occur from water getting in under the mast step and delaminating the deck or the plywood beam. I recall repairing some minor delamination in mine back towards the end of the last century. The bottom of the compression post can also suffer from water damage (mine did not). I think early boats (before '74?) were more of a problem and the design was revised to get the bottom of the posts up out of the bilge. On the P26 and the P26 Weekender the chainplates fasten to sturdy knees that are integrated into the fiberglass pan and tabbed to the hull. On the OD the chain plates are bolted directly to the bulkheads and are consequently more vulnerable to water damage from leaks.
Dan Pfeiffer