7 Sided Polygon Rafter Table ( 7 - gon )


central angle = 51.4285714285714°
working angle = 25.7142857142857°
plan angle = 64.2857142857143°
miter angle = 5.78 & 12 (25.71°)
hip run per foot = 13.32
apothem multiplier = 1.10992
side wall multiplier = 0.96315

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

25.7142857142857

25.71

0.00

0.00

0.00

13.32

25.7142857142857

26.30

34.61

51.22

24.92

33.22

49.84

2.07652

1

4.76

4.29

2.29

25.62

25.65

2.06

0.03

0.06

13.36

25.64

26.40

34.73

51.40

25.00

33.34

50.01

2.08372

2

9.46

8.54

4.53

25.34

25.47

4.09

0.05

0.13

13.47

25.41

26.67

35.09

51.93

25.26

33.68

50.52

2.10516

3

14.04

12.69

6.66

24.89

25.16

6.04

0.08

0.19

13.65

25.04

27.11

35.68

52.80

25.69

34.25

51.37

2.14043

4

18.43

16.72

8.66

24.31

24.76

7.89

0.11

0.25

13.91

24.55

27.73

36.48

53.99

26.27

35.02

52.53

2.18885

5

22.62

20.58

10.49

23.61

24.27

9.61

0.14

0.32

14.23

23.97

28.50

37.49

55.49

26.99

35.99

53.99

2.24956

6

26.57

24.25

12.15

22.83

23.71

11.19

0.16

0.38

14.61

23.30

29.41

38.70

57.27

27.86

37.15

55.72

2.32162

7

30.26

27.72

13.64

22.01

23.09

12.63

0.19

0.44

15.05

22.59

30.45

40.07

59.30

28.85

38.46

57.70

2.40400

8

33.69

30.99

14.96

21.16

22.43

13.93

0.22

0.51

15.54

21.84

31.61

41.60

61.56

29.95

39.93

59.90

2.49567

9

36.87

34.05

16.12

20.31

21.75

15.09

0.24

0.57

16.07

21.07

32.88

43.26

64.03

31.15

41.53

62.30

2.59565

10

39.81

36.90

17.13

19.47

21.06

16.13

0.27

0.63

16.66

20.30

34.24

45.05

66.68

32.44

43.25

64.87

2.70303

11

42.51

39.55

18.03

18.65

20.37

17.05

0.30

0.70

17.27

19.54

35.68

46.95

69.49

33.80

45.07

67.61

2.81694

12

45.00

42.02

18.80

17.87

19.69

17.87

0.33

0.76

17.93

18.80

37.20

48.95

72.44

35.24

46.99

70.48

2.93664

13

47.29

44.31

19.49

17.12

19.02

18.59

0.35

0.82

18.61

18.09

38.78

51.03

75.52

36.74

48.98

73.47

3.06145

14

49.40

46.43

20.08

16.40

18.36

19.23

0.38

0.89

19.32

17.40

40.42

53.18

78.71

38.29

51.05

76.58

3.19076

15

51.34

48.40

20.61

15.73

17.73

19.80

0.41

0.95

20.06

16.74

42.11

55.40

82.00

39.89

53.18

79.78

3.32406

16

53.13

50.22

21.07

15.09

17.12

20.31

0.43

1.01

20.82

16.12

43.84

57.68

85.37

41.53

55.37

83.06

3.46087

17

54.78

51.92

21.48

14.49

16.54

20.76

0.46

1.08

21.60

15.52

45.61

60.02

88.82

43.21

57.61

86.42

3.60080

18

56.31

53.50

21.84

13.93

15.98

21.16

0.49

1.14

22.39

14.96

47.42

62.40

92.34

44.92

59.90

89.84

3.74350

19

57.72

54.97

22.15

13.40

15.45

21.52

0.52

1.20

23.20

14.42

49.26

64.81

95.92

46.66

62.22

93.33

3.88867

20

59.04

56.34

22.44

12.90

14.95

21.84

0.54

1.27

24.03

13.92

51.13

67.27

99.56

48.43

64.58

96.86

4.03603

21

60.26

57.62

22.69

12.43

14.46

22.13

0.57

1.33

24.87

13.44

53.02

69.76

103.24

50.22

66.97

100.45

4.18536

22

61.39

58.81

22.92

11.99

14.00

22.39

0.60

1.39

25.72

12.99

54.93

72.28

106.97

52.04

69.38

104.07

4.33646

23

62.45

59.93

23.12

11.58

13.57

22.62

0.62

1.46

26.58

12.56

56.87

74.82

110.74

53.87

71.83

107.74

4.48914

24

63.43

60.97

23.30

11.19

13.15

22.83

0.65

1.52

27.45

12.15

58.82

77.39

114.54

55.72

74.29

111.44

4.64324


Framing Square usage Example: 8:12 Pitch
(Rafter Length Per Ft = 14.42) (Hip Rafter Length Per Ft = 15.54)
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 (13.32) for Hip Rafter Plumb Cut Angle (SS Angle 30.99)
Tongue (13.32) Blade (8.00) for Hip Rafter Level Cut Angle (SS Angle 59.01)
 
Tongue (6.41) Blade (15.54) for Hip Side Cut Angle (SS Angle 22.43) (Saw Angle 64.29)
Tongue (3.85) Blade (15.54) for Hip Backing Angle (SS Angle 13.93)
 
Tongue (5.78) Blade (14.42) for Jack Rafter Side Cut Angle (SS Angle 21.84) (Saw Angle 64.29)
 
Tongue (3.85) Blade (14.42) for Purlin Rafter Plumb Cut Angle (SS Angle 14.96) (Saw Angle 13.93)
Tongue (5.78) Blade (14.42) for Purlin Rafter Cross Cut Angle (SS Angle 21.84)
 
Tongue (3.85) Blade (14.42) for Roof Sheathing Plumb Cut Angle (SS Angle 14.96) (Saw Angle 13.93)
Tongue (5.78) Blade (14.42) for Roof Sheathing Cross Cut Angle (SS Angle 21.84)
 
Tongue (8.00) Blade (12.00) for Miter Box Gable Mould Plumb Cut Angle (SS Angle 33.69)
Tongue (8.00) Blade (13.32) for Miter Box 2 Cord Polygon Gable Mould Hip Plumb Cut Angle (SS Angle 30.99)
Tongue (5.78) Blade (12.00) for Miter Box 2 Cord Polygon Gable Mould Hip Cross Cut Angle (SS Angle 25.71) (Saw Angle 25.71)
 
Tongue (3.85) Blade (14.42) for Frieze Block Plumb Cut Angle (SS Angle 14.96)
Tongue (5.78) Blade (14.42) for Frieze Block Cross Cut Angle (SS Angle 21.84) (Saw Angle 21.16)
 
Tongue (3.85) Blade (14.42) for Square Cut Fascia Plumb Cut Angle (SS Angle 14.96)
Tongue (5.78) Blade (14.42) for Square Cut Fascia Cross Cut Angle (SS Angle 21.84) (Saw Angle 21.16)
 
Tongue (1.16) Blade (5.78) for Hip Rafter Square Cut Fascia Plumb Cut Angle (SS Angle 5.51)
Tongue (5.78) Blade (14.42) for Hip Rafter Square Cut Fascia Cross Cut Angle (SS Angle 21.84) (Saw Bevel Angle 21.16)