4 - 1/16 over 12 Cricket Valley: Geometric Models

4-1/16 over 12 Cricket Valley : Principal Lines
4 -1/16 over 12 Cricket Valley : Principal Lines

4-1/16 over 12 Cricket Valley : Principal Planes
4-1/16 over 12 Cricket Valley : Principal Planes

4-1/16 over 12 Cricket Valley : Angles on the Roof Plane
4-1/16 over 12 Cricket Valley : Angles on the Roof Plane

4-1/16 over 12 Cricket Valley : Angles on the Far Faces
Cricket Valley : Angles on the Far Faces

4-1/16 over 12 Cricket Valley : Dihedral Angles between Principal Planes
4-1/16 over 12 Cricket Valley : Dihedral Angles between Principal Planes

4-1/16 over 12 Cricket Valley : Dimensions with respect to Unit Length
4-1/16 over 12 Cricket Valley : Dimensions with respect to Unit Length

Calculating with respect to other Reference Planes

"Deck Angles" on the 12 ÷ 12 Roof Plane

LAG Program Entries :
(Set Select Entry Mode to Angular)
Main Pitch : 65.83346°
Adjacent Pitch : 22.50000°
Total Deck Angle : 63.33865°

LAG Program Returns :
90° - P2m = 20.53079°
C5m = 64.39860°
90° - P2a = 56.73398°
C5a = 12.80070°
Dihedral Angle about Unit Cricket Valley Trough :
180° - (C5m + C5a) = 180° - (64.39860° + 12.80070°) = 102.80070°


LAG Program Entries :
(Set Select Entry Mode to Angular)
Main Pitch : 22.50000°
Adjacent Pitch : 127.64621°
Total Deck Angle : 39.52120°

LAG Program Returns :
90° - P2m = 56.73398°
C5m = 12.80070°
NOTE : Adjacent Deck Angle D exceeds 90° : 164.89901°
90° - P2a = 156.16456°
We require the Supplementary Angle : 180° - 156.16456° = 23.83544°
C5a = 49.85853°
Dihedral Angle about Unit Oblique Line on 7 ÷ 12 Roof Plane :
C5a - C5m = 49.85853° - 12.80070° = 37.05783°


LAG Program Entries :
(Set Select Entry Mode to Angular)
Main Pitch : 65.83346°
Adjacent Pitch : 127.64621°
Total Deck Angle : 180° - (63.33865° + 39.52120°) = 77.14015°

LAG Program Returns :
90° - P2m = 122.14649°
C5m = 49.85855°
NOTE : Adjacent Deck Angle D exceeds 90° : 110.22235°
90° - P2a = 102.68013°
We require the Supplementary Angle : 180° - 102.68013° = 77.31987°
C5a = 15.88432°
Dihedral Angle about .41421 long line on far face :
C5m + C5a = 49.85855° + 15.88432° = 65.74287°



"Deck Angles" on the 7 ÷ 12 Roof Plane

LAG Program Entries :
(Set Select Entry Mode to Angular)
Main Pitch : 65.74287°
Adjacent Pitch : 37.05783°
Total Deck Angle : 78.84468°

LAG Program Returns :
90° - P2m = 37.32272°
C5m = 60.46205°
90° - P2a = 66.53204°
C5a = 16.73725°
Dihedral Angle about Unit Cricket Valley Trough :
180° - (C5m + C5a) = 180° - (60.46205° + 16.73725°) = 102.80070°


LAG Program Entries :
(Set Select Entry Mode to Angular)
Main Pitch : 37.05783°
Adjacent Pitch : 127.64621°
Total Deck Angle : 23.83544°

LAG Program Returns :
90° - P2m = 56.73397°
C5m = 22.50000°
NOTE : Adjacent Deck Angle D exceeds 90° : 153.25779°
90° - P2a = 140.47881°
We require the Supplementary Angle : 180° - 140.47881° = 39.52119°
C5a = 45.00000°
Dihedral Angle about Level Line (1.09705 long) on 12 ÷ 12 Roof Plane :
C5a - C5m = 45.00000° - 22.50000° = 22.50000°


LAG Program Entries :
(Set Select Entry Mode to Angular)
Main Pitch : 65.74287°
Adjacent Pitch : 127.64621°
Total Deck Angle : 180° - (23.83544° + 78.84468°) = 77.31988°

LAG Program Returns :
90° - P2m = 122.14649°
C5m = 49.73915°
NOTE : Adjacent Deck Angle D exceeds 90° : 110.49428°
90° - P2a = 102.85986°
We require the Supplementary Angle : 180° - 102.85986° = 77.14014°
C5a = 16.09431°
Dihedral Angle about .71609 long line on far face :
C5m + C5a = 49.73915° + 16.09431° = 65.83346°



"Deck Angles" on the Plumb (Side) Face of the Cricket Valley


LAG Program Entries :
(Set Select Entry Mode to Angular)
Main Pitch : 65.83346°
Adjacent Pitch : 102.80070°
Total Deck Angle : 20.53079°

LAG Program Returns :
90° - P2m = 63.33866°
C5m = 45.00001°
NOTE : Adjacent Deck Angle D exceeds 90° : 161.33864°
90° - P2a = 123.26602°
We require the Supplementary Angle : 180° - 123.26602° = 56.73398°
C5a = 67.50000°
Dihedral Angle about Level Line (1.09705 long) on 12 ÷ 12 Roof Plane :
C5a - C5m = 67.50000° - 45.00001° = 22.49999°


LAG Program Entries :
(Set Select Entry Mode to Angular)
Main Pitch : 65.74287°
Adjacent Pitch : 102.80070°
Total Deck Angle : 37.32272°

LAG Program Returns :
90° - P2m = 78.84468°
C5m = 23.23594°
NOTE : Adjacent Deck Angle D exceeds 90° : 152.96322°
90° - P2a = 113.46796°
We require the Supplementary Angle : 180° - 113.46796° = 66.53204°
C5a = 60.29377°
Dihedral Angle about Unit Oblique Line on 7 ÷ 12 Roof Plane :
C5a - C5m = 60.29377° - 23.23594° = 37.05783°


LAG Program Entries :
(Set Select Entry Mode to Angular)
Main Pitch : 65.74287°
Adjacent Pitch : 65.83346°
Total Deck Angle : 180° - (20.53079° + 37.32272°) = 122.14649°

LAG Program Returns :
90° - P2m = 77.31988°
C5m = 25.97198°
90° - P2a = 77.14014°
C5a = 26.38181°
Dihedral Angle about Valley Trough Line (1.00563 long) :
180° - (C5m + C5a) = 180° - (25.97198° + 26.38181°) = 127.64621°


Joe Bartok 1