Saw Blade Bevel Angle From Miter Line Side = arctan(cos(Miter Angle) ÷ tan(Bevel Angle on Stick)

Saw Blade Bevel Angle From Miter Line Side = arctan(cos(33.69007°) ÷ tan(39.76216°) = 45.00°

Saw Blade Bevel Angle From Miter Line Side = arctan(sin(Miter Angle on Stick) ÷ tan(Bevel Angle on Stick)

Saw Blade Bevel Angle From Miter Line Side = arctan(sin(56.30993°) ÷ tan(39.76216°) = 45.00°

Saw Blade Bevel Angle From Bevel Line Side =arctan(sin(Bevel Angle on Stick) ÷ tan(Miter Angle on Stick)

Saw Blade Bevel Angle From Miter Line Side = arctan(sin(39.76216°) ÷ tan(56.30993°) = 23.09347°

Saw Blade Bevel Angle From Bevel Line Side =arctan(cos(Bevel Angle) ÷ tan(Miter Angle on Stick)

Saw Blade Bevel Angle From Miter Line Side = arctan(cos(50.23784°) ÷ tan(56.30993°) = 23.09347°

Online Saw Blade Bevel Angle Calculator

Intersection of vertical plumb plane following the eave line and the vertical plumb plane of the hip rafter . The saw blade bevel angle is the intersection of these two planes for jack rafters head cuts and hip rafter head cuts.

Roof Eave Angle = 90.00000

SS = Main Rafter Slope Angle = 36.86990

S = Adjacent Rafter Slope Angle = 45.00000

DD = Main Plan Angle = 53.13010

D = Adjacent Plan Angle = 36.86990

Saw Blade Bevel Angle = arctan(sin(45.00°) ÷ tan(43.31386°) = 36.8699° = Plan Angle for Plumb Hip Rafters

**Rake Crown Molding Saw Blade Bevel Angle Problem**

I still need to calculate the saw blade bevel angles. I can calculate the dihedral angle, but not the saw blade bevel angles.

Face angle a = 52.07865

Face angle b = 86.60217

Face angle c = 90

Dihedral angle = arccos((cos(c) - cos(a) * cos(b))/ (sin(a)*sin(b)) = C = 92.65123°

Dihedral angle = arccos((cos(a) - cos(b) * cos(c))/ (sin(c)*sin(b))=A = 52°

Dihedral angle = arccos((cos(b) - cos(a) * cos(c))/ (sin(a)*sin(c))=B =85.69117°

Dihedral angle = arccos((cos(90) - cos(52.07865) * cos(86.60217))/ (sin(52.07865)*sin(86.60217))= 92.65123°

Eave side

Miter Angle on Stick = 52.07865°

Saw Blade Bevel Angle = 37.01689

Rake side

Miter Angle on Stick =86.60217°

Saw Blade Bevel Angle = 50.33188

Now, it looks like the Saw Blade Bevel angles are

Saw Blade Bevel Angle =38.18968°Eave sideMiter Angle on Stick = 52.07865°

Rake side

Miter Angle on Stick =86.60217°

Saw Blade Bevel Angle = 49.15886°

Joseph Fusco at Fine HomeBuilding on exterior Crown Miter Angles

The American House-carpenter

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The American house-carpenter

Miter Angle on Stick =86.60217°

Saw Blade Bevel Angle = 49.15886°

Roof Eave Angle = 54.53879

SS = Main Rafter Slope Angle = 46.62978

S = Adjacent Rafter Slope Angle = 55.15376

DD = Main Plan Angle = 31.73219

D = Adjacent Plan Angle = 22.80660

R1 = Hip Rafter Slope Angle = 29.10711.... This the only variable we know.

C5m Main Hip Rafter Backing Angle = 38.18968

C5a Adjacent Hip Rafter Backing Angle = 49.15886

Valley Sleeper Saw Blade Bevel Angle = 90° - (C5m + C5a) = 2.65146

Dihedral = 92.65146

P2m = Main Jack Rafter Side Cut Angle = 47.99665

90° - P2m = Main Roof Sheathing Angle = 42.00335

P2a = Adjacent Jack Rafter Side Cut Angle = 53.64927

90° - P2a = Adjacent Roof Sheathing Angle = 36.35073

The American House-carpenter

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