Manfred Euchner
Handbuch der Schiftungen
Ermittlung der Klaue bei schifter
Determination of the claw at Schifter
Determination of the claw at Jack Rafter
Krallenspitze -- > Claw Tip
The math for the jack rafter claw tip.
R5 = Hip Rafter Diamond Post Angle
R5 = arctan (tan Hip Rafter Slope Angle x cos adjacent plan angle)
Common Rafter Slope Angle - R5 = Claw Tip Angle
R5 = arctan(tan 27.50055 x cos 51.34019) = 18.01470
Claw Tip angle = 39.80557 - 18.01470 = 21.79100
R5 = arctan(tan 27.50055 x cos 38.65981) = 22.121943
Claw Tip angle = 33.69007 - 22.121943 = 11.568126
The plan angles are the opposite for valley rafter plan angles. Here we have a 8:12 & 10:12 hip roof with the 8:12 plan angle at 51.34019° and the 10:12 plan angle at 38.65981°
In this drawing of the valley rafter you can see the plan angles are reversed.
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