I'll 'venture' the USCG Aux answer to the question of "How much weight can my boat carry?" is traditional and not exact. It's a "Rule of Thumb" for recreational boats that do not have the weight limit posted on a placard near the helm or on the transom. Look here first.
If absent, calculate # of passengers: Length x Beam / 15
For your 22 C-Dory: 22'0" x 7'8" / 15 = 11 1/4 or 11 passengers (a passenger is assumed to weigh 150 lbs)
To get maximum weight: # passengers x 150
For your 22 C-Dory: 11 x 150 = 1650 lbs
Keep in mind the maximum weight is approximate and includes
*the combined actual weight of all passengers
*all gear, food, supplies, fuel, water, etc.
*outboard motor(s)
Foggy brings up some very valid points. The Dept of transportation even has books on the subject for back yard boat builders, including this excerpt on floatation and stability for small boats :
http://files.dnr.state.mn.us/education_safety/safety/boatwater/backyardboatbuilders.pdf There are a number of other boat builder handbooks such as on floatation, rules for tanks etc.
SKenes Elements of yacht design uses the formula for immersion of: Length Water line x Beam waterline x .76 for immersion: If we take 19 feet for the LWL of the C Dory 22 and the width of waterline of 6 feet (Cockpit interior width is 5'9"), we come up with: 86.64 as a minimum of sq feet immersion at light boat (hull only), and up to about 120 sq. feet very heavily loaded boat, (The semi Dory type of hull, has more extreme taper of sides than many other boats and the beam increases as the boat immerses)
Taking an average of about 100 sq feet; this means an immersion of 520 lbs per inch in fresh water. After a hull weight of about 1800 lbs; we add in the motor 350 lbs, fuel 300 lbs. interior cushions, safety gear, Bimini, electronics 150 lbs--we have a "light but rigged boat" somewhere near 2600 lbs (this sets fairly well with real weights of 3500 lbs light boat on trailer, up to somewhere over 4500 lbs fully loaded). This would be the boat loaded on its normal waterline, 1.6" over where the boat would have floated without any engine, fuel or interior /safety gear. Or we have already added 800 lbs just in basic boat gear and fuel.
In our experience loaded for a month cruising we added approximate weights:
Bob and Marie 320 lbs: dogs up to 100 lbs: water 150 lbs, (we carry at least 5 extra gallons): 3 batteries: 200 lbs: ice chest full of food, 100 lbs; freezer full of food, 100 lbs: dinghy and outboard 100 lbs; generator, food, stove, fuel, utensils 200 lbs; Anchors, lines and mooring gear 50 lbs; cameras, binoculars, tools, personal items / clothing and navigation/safety gear 200 lbs; extra water, beer, wine etc another 100 lbs, or about 1320 lbs more. . Yet this has seemed safe, and the further immersion from the basic boat would be about 2.5 inches--which fits with what we have observed.
The boat is very stable and safe at this load, but it does take more HP to get up on a plane, especially at Lake Powell, but a lower pitch prop helps with that.