9 Sided Polygon Rafter Table ( 9 - gon )


central angle = 40
working angle = 20
plan angle = 70
miter angle = 4.37 & 12 (20.00)
hip run per foot = 12.77
apothem multiplier = 1.06418
side wall multiplier = 0.72794

Pitch

Roof Angles

Frieze Block Angles

Hip Rafters

Jack Rafters

Roof Pitch

Angle

Hip Pitch

Angle

Angle

Saw Bevel

Side Cut

Angle

Backing Angle

Hip Drop

2x

Hip Drop

4x

Length

Per-FT

Side Cut

Angle

First
12 O.C.

First
16 O.C.

First
24 O.C.

Spaced
12 O.C.

Spaced
16 O.C.

Spaced
24 O.C.

Multiplier

0

0.00

0.00

0

20

20.00

0.00

0.00

0.00

12.77

20

34.90

45.89

67.87

32.97

43.96

65.94

2.74748

1

4.76

4.48

1.73

19.93

19.94

1.63

0.02

0.05

12.81

19.94

35.02

46.05

68.10

33.08

44.11

66.17

2.75700

2

9.46

8.90

3.42

19.72

19.78

3.22

0.04

0.10

12.93

19.75

35.38

46.52

68.80

33.42

44.57

66.85

2.78538

3

14.04

13.22

5.04

19.38

19.51

4.76

0.06

0.15

13.12

19.45

35.97

47.30

69.96

33.98

45.31

67.97

2.83203

4

18.43

17.39

6.57

18.93

19.15

6.21

0.09

0.20

13.38

19.05

36.79

48.37

71.54

34.75

46.34

69.51

2.89610

5

22.62

21.38

7.97

18.40

18.72

7.56

0.11

0.25

13.71

18.57

37.81

49.71

73.52

35.72

47.62

71.43

2.97643

6

26.57

25.17

9.25

17.81

18.23

8.80

0.13

0.30

14.11

18.03

39.02

51.30

75.88

36.86

49.15

73.72

3.07177

7

30.26

28.73

10.39

17.18

17.70

9.92

0.15

0.35

14.56

17.45

40.40

53.12

78.57

38.17

50.89

76.34

3.18076

8

33.69

32.07

11.41

16.53

17.14

10.94

0.17

0.40

15.07

16.85

41.94

55.15

81.57

39.62

52.83

79.25

3.30206

9

36.87

35.18

12.32

15.88

16.57

11.84

0.19

0.45

15.62

16.23

43.62

57.36

84.83

41.21

54.95

82.42

3.43435

10

39.81

38.06

13.12

15.23

15.99

12.65

0.21

0.50

16.22

15.62

45.43

59.73

88.34

42.92

57.22

85.83

3.57641

11

42.51

40.74

13.82

14.60

15.42

13.36

0.24

0.55

16.85

15.02

47.34

62.25

92.07

44.73

59.63

89.45

3.72714

12

45.00

43.22

14.43

14.00

14.86

14.00

0.26

0.60

17.52

14.43

49.35

64.90

95.98

46.63

62.17

93.25

3.88552

13

47.29

45.51

14.97

13.41

14.31

14.56

0.28

0.65

18.22

13.87

51.45

67.65

100.06

48.61

64.81

97.22

4.05065

14

49.40

47.63

15.45

12.86

13.78

15.05

0.30

0.70

18.95

13.33

53.62

70.51

104.29

50.66

67.55

101.32

4.22175

15

51.34

49.59

15.87

12.34

13.28

15.49

0.32

0.75

19.70

12.81

55.86

73.46

108.64

52.78

70.37

105.55

4.39811

16

53.13

51.41

16.23

11.84

12.79

15.88

0.34

0.80

20.47

12.32

58.16

76.48

113.11

54.95

73.27

109.90

4.57913

17

54.78

53.09

16.56

11.38

12.33

16.23

0.36

0.85

21.26

11.85

60.52

79.57

117.69

57.17

76.23

114.34

4.76428

18

56.31

54.65

16.85

10.94

11.89

16.53

0.38

0.90

22.07

11.41

62.91

82.73

122.35

59.44

79.25

118.87

4.95309

19

57.72

56.09

17.10

10.52

11.48

16.81

0.41

0.95

22.89

11.00

65.35

85.93

127.09

61.74

82.32

123.48

5.14516

20

59.04

57.44

17.33

10.13

11.08

17.05

0.43

1.00

23.73

10.61

67.83

89.19

131.91

64.08

85.44

128.16

5.34014

21

60.26

58.70

17.54

9.77

10.71

17.27

0.45

1.05

24.58

10.24

70.34

92.49

136.79

66.45

88.60

132.91

5.53772

22

61.39

59.87

17.72

9.43

10.35

17.47

0.47

1.10

25.44

9.89

72.88

95.83

141.73

68.85

91.80

137.70

5.73763

23

62.45

60.96

17.88

9.10

10.02

17.65

0.49

1.15

26.31

9.56

75.44

99.20

146.72

71.28

95.03

142.55

5.93964

24

63.43

61.98

18.03

8.80

9.70

17.81

0.51

1.20

27.19

9.25

78.03

102.61

151.76

73.72

98.30

147.45

6.14355


Framing Square usage Example: 8:12 Pitch
(Rafter Length Per Ft = 14.42) (Hip Rafter Length Per Ft = 15.07)
SS Angle = Speed Square Angle
Saw Angle produces compound Speed Square Angle
 
Tongue (8.00) Blade (12.00) for Rafter Plumb Cut Angle (SS Angle 33.69)
Tongue (12.00) Blade (8.00) for Rafter Level Cut Angle (SS Angle 56.31)
 
Tongue (8.00) Blade (12.77) for Hip Rafter Plumb Cut Angle (SS Angle 32.07)
Tongue (12.77) Blade (8.00) for Hip Rafter Level Cut Angle (SS Angle 57.93)
 
Tongue (4.65) Blade (15.07) for Hip Side Cut Angle (SS Angle 17.14) (Saw Angle 70.00)
Tongue (2.91) Blade (15.07) for Hip Backing Angle (SS Angle 10.94)
 
Tongue (4.37) Blade (14.42) for Jack Rafter Side Cut Angle (SS Angle 16.85) (Saw Angle 70.00)
 
Tongue (2.91) Blade (14.42) for Purlin Rafter Plumb Cut Angle (SS Angle 11.41) (Saw Angle 10.94)
Tongue (4.37) Blade (14.42) for Purlin Rafter Cross Cut Angle (SS Angle 16.85)
 
Tongue (2.91) Blade (14.42) for Roof Sheathing Plumb Cut Angle (SS Angle 11.41) (Saw Angle 10.94)
Tongue (4.37) Blade (14.42) for Roof Sheathing Cross Cut Angle (SS Angle 16.85)
 
Tongue (8.00) Blade (12.00) for Miter Box Gable Mould Plumb Cut Angle (SS Angle 33.69)
Tongue (8.00) Blade (12.77) for Miter Box 2 Cord Polygon Gable Mould Hip Plumb Cut Angle (SS Angle 32.07)
Tongue (4.37) Blade (12.00) for Miter Box 2 Cord Polygon Gable Mould Hip Cross Cut Angle (SS Angle 20.00) (Saw Angle 20.00)
 
Tongue (2.91) Blade (14.42) for Frieze Block Plumb Cut Angle (SS Angle 11.41)
Tongue (4.37) Blade (14.42) for Frieze Block Cross Cut Angle (SS Angle 16.85) (Saw Angle 16.53)
 
Tongue (2.91) Blade (14.42) for Square Cut Fascia Plumb Cut Angle (SS Angle 11.41)
Tongue (4.37) Blade (14.42) for Square Cut Fascia Cross Cut Angle (SS Angle 16.85) (Saw Angle 16.53)
 
Tongue (0.69) Blade (4.37) for Hip Rafter Square Cut Fascia Plumb Cut Angle (SS Angle 3.29)
Tongue (4.37) Blade (14.42) for Hip Rafter Square Cut Fascia Cross Cut Angle (SS Angle 16.85) (Saw Bevel Angle 16.53)