Main Pitch = 7 ÷ 12
Adjacent Pitch = 9 ÷ 12
Total Deck Angle or Angle in Plan between Hip Roof Eaves = 135° Main Common Pitch Angle = SS = 30.25644° Main Deck Angle or Main Plan Angle = DD = 84.29259° Adjacent Common Pitch Angle = S = 36.86990° Adjacent Deck Angle or Adjacent Plan Angle = D = 50.70741° |
Main Span Angles MAIN SPAN COMPLEMENT of ANGLE between HIP RIDGE and EAVE arctan (cos Main Common Pitch Angle ÷ tan Main Deck Angle) P2m = arctan (cos SS ÷ tan DD) P2m = arctan (cos 30.25644° ÷ tan 84.29259°) = 4.93408° MAIN SPAN FASCIA MITER ANGLE arctan (sin Main Common Pitch Angle ÷ tan Adjacent Deck Angle) SFMm = arctan (sin SS ÷ tan D) SFMm = arctan (sin 30.25644° ÷ tan 50.70741°) = 22.40659° MAIN SPAN HIP RAFTER MITER ANGLE arctan (cos Main Common Pitch Angle sin Main Common Pitch Angle cos Main Deck Angle ÷ tan Main Deck Angle) R2m = arctan (cos SS sin SS cos DD ÷ tan DD) R2m = arctan (cos 30.25644° sin 30.25644° cos 84.29259° ÷ tan 84.29259°) = .24785° MAIN SPAN FASCIA BEVEL ANGLE arcsin (cos Adjacent Common Pitch Angle cos Main Deck Angle) SFBm = arcsin (cos S cos DD) SFBm = arcsin (cos 36.86990° cos 84.29259°) = 4.56320° Check : arctan (cos Main Span Fascia Miter Angle tan Main Span Complement of Angle between Hip Ridge and Eave) SFBm = arctan (cos SFMm tan P2m) SFBm = arctan (cos 22.40659° tan 4.93408°) = 4.56320° MAIN SPAN HIP RAFTER BEVEL ANGLE arcsin (cos Main Common Pitch Angle cos Main Deck Angle) C1m = arcsin (cos SS cos DD) C1m = arcsin (cos 30.25644° cos 84.29259°) = 4.92786° MAIN SPAN ANGLE between MATCHING FACES of FASCIA arccos (sin Main Span Complement of Angle between Hip Ridge and Eave sin Main Span Fascia Miter Angle) SFCm = arccos (sin P2m sin SFMm) SFCm = arccos (sin 4.93408° sin 22.40659°) = 88.12123° Adjacent Span Angles ADJACENT SPAN COMPLEMENT of ANGLE between HIP RIDGE and EAVE arctan (cos Adjacent Common Pitch Angle ÷ tan Adjacent Deck Angle) P2a = arctan (cos S ÷ tan D) P2a = arctan (cos 36.86990° ÷ tan 50.70741°) = 33.20954° ADJACENT SPAN FASCIA MITER ANGLE arctan (sin Adjacent Common Pitch Angle ÷ tan Main Deck Angle) SFMa = arctan (sin S ÷ tan DD) SFMa = arctan (sin 36.86990° ÷ tan 84.29259°) = 3.43171° ADJACENT SPAN HIP RAFTER MITER ANGLE arctan (cos Adjacent Common Pitch Angle sin Adjacent Common Pitch Angle cos Adjacent Deck Angle ÷ tan Adjacent Deck Angle) R2a = arctan (cos S sin S cos D ÷ tan D) R2a = arctan (cos 36.86990° sin 36.86990° cos 50.70741° ÷ tan 50.70741°) = 13.96800° ADJACENT SPAN FASCIA BEVEL ANGLE arcsin (cos Main Common Pitch Angle cos Adjacent Deck Angle) SFBa = arcsin (cos SS cos D) SFBa = arcsin (cos 30.25644° cos 50.70741°) = 33.16244° Check : arctan (cos Adjacent Span Fascia Miter Angle tan Adjacent Span Complement of Angle between Hip Ridge and Eave) SFBa = arctan (cos SFMa tan P2a) SFBa = arctan (cos 3.43171° tan 33.20954°) = 33.16244° ADJACENT SPAN HIP RAFTER BEVEL ANGLE arcsin (cos Adjacent Common Pitch Angle cos Adjacent Deck Angle) C1a = arcsin (cos S cos D) C1a = arcsin (cos 36.86990° cos 50.70741°) = 30.43926° ADJACENT SPAN ANGLE between MATCHING FACES of FASCIA arccos (sin Adjacent Span Complement of Angle between Hip Ridge and Eave sin Adjacent Span Fascia Miter Angle) SFCa = arccos (sin P2a sin SFMa) SFCa = arccos (sin 33.20954° sin 3.43171°) = 88.12123°
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