5 Sided Polygon Rafter Table ( 5 - gon )


central angle = 72
working angle = 36
plan angle = 54
miter angle = 8.72 & 12 (36.00)
hip run per foot = 14.83
apothem multiplier = 1.23607
side wall multiplier = 1.45309

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

36

36.00

0.00

0.00

0.00

14.83

36

17.31

22.81

33.82

16.52

22.02

33.03

1.37638

1

4.76

3.86

3.45

35.86

35.94

2.80

0.04

0.09

14.87

35.91

17.37

22.89

33.94

16.57

22.10

33.15

1.38115

2

9.46

7.68

6.81

35.44

35.75

5.55

0.07

0.17

14.97

35.63

17.54

23.13

34.29

16.74

22.33

33.49

1.39537

3

14.04

11.43

9.99

34.77

35.46

8.20

0.11

0.26

15.13

35.18

17.84

23.51

34.86

17.02

22.70

34.05

1.41874

4

18.43

15.09

12.94

33.89

35.05

10.71

0.15

0.34

15.36

34.58

18.24

24.04

35.65

17.41

23.21

34.82

1.45083

5

22.62

18.63

15.61

32.86

34.55

13.07

0.18

0.43

15.65

33.85

18.75

24.71

36.64

17.89

23.86

35.79

1.49108

6

26.57

22.02

18.00

31.72

33.96

15.24

0.22

0.51

16.00

33.02

19.35

25.50

37.81

18.47

24.62

36.93

1.53884

7

30.26

25.26

20.11

30.51

33.31

17.23

0.26

0.60

16.40

32.11

20.03

26.41

39.16

19.12

25.50

38.24

1.59344

8

33.69

28.34

21.95

29.28

32.60

19.03

0.29

0.69

16.85

31.15

20.80

27.42

40.65

19.85

26.47

39.70

1.65421

9

36.87

31.25

23.55

28.05

31.85

20.65

0.33

0.77

17.35

30.17

21.63

28.51

42.28

20.65

27.53

41.29

1.72048

10

39.81

33.99

24.94

26.84

31.07

22.10

0.37

0.86

17.89

29.17

22.53

29.69

44.03

21.50

28.67

43.00

1.79165

11

42.51

36.56

26.15

25.68

30.27

23.40

0.40

0.94

18.47

28.17

23.48

30.94

45.88

22.41

29.87

44.81

1.86716

12

45.00

38.97

27.19

24.56

29.46

24.56

0.44

1.03

19.08

27.19

24.47

32.26

47.83

23.36

31.14

46.72

1.94650

13

47.29

41.23

28.10

23.50

28.65

25.59

0.48

1.11

19.72

26.23

25.51

33.63

49.86

24.35

32.47

48.70

2.02922

14

49.40

43.35

28.88

22.49

27.85

26.51

0.51

1.20

20.40

25.31

26.59

35.05

51.97

25.38

33.84

50.76

2.11494

15

51.34

45.32

29.57

21.54

27.06

27.32

0.55

1.29

21.10

24.41

27.70

36.51

54.14

26.44

35.25

52.88

2.20329

16

53.13

47.17

30.17

20.65

26.29

28.05

0.59

1.37

21.82

23.55

28.84

38.02

56.37

27.53

36.70

55.06

2.29397

17

54.78

48.89

30.69

19.81

25.53

28.70

0.62

1.46

22.56

22.73

30.01

39.56

58.65

28.64

38.19

57.28

2.38672

18

56.31

50.51

31.15

19.03

24.80

29.28

0.66

1.54

23.32

21.95

31.20

41.12

60.97

29.78

39.70

59.55

2.48131

19

57.72

52.02

31.56

18.29

24.09

29.80

0.70

1.63

24.10

21.20

32.41

42.72

63.34

30.93

41.24

61.86

2.57753

20

59.04

53.44

31.92

17.60

23.40

30.27

0.73

1.71

24.90

20.50

33.64

44.34

65.74

32.10

42.80

64.20

2.67521

21

60.26

54.77

32.24

16.96

22.74

30.69

0.77

1.80

25.71

19.82

34.88

45.98

68.17

33.29

44.39

66.58

2.77419

22

61.39

56.01

32.53

16.35

22.10

31.07

0.81

1.89

26.53

19.18

36.14

47.64

70.63

34.49

45.99

68.98

2.87434

23

62.45

57.18

32.79

15.78

21.49

31.41

0.84

1.97

27.37

18.58

37.41

49.31

73.12

35.71

47.61

71.41

2.97554

24

63.43

58.28

33.02

15.24

20.91

31.72

0.88

2.06

28.21

18.00

38.70

51.01

75.63

36.93

49.24

73.86

3.07768


Framing Square usage Example: 8:12 Pitch
(Rafter Length Per Ft = 14.42) (Hip Rafter Length Per Ft = 16.85)
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 (14.83) for Hip Rafter Plumb Cut Angle (SS Angle 28.34)
Tongue (14.83) Blade (8.00) for Hip Rafter Level Cut Angle (SS Angle 61.66)
 
Tongue (10.78) Blade (16.85) for Hip Side Cut Angle (SS Angle 32.60) (Saw Angle 54.00)
Tongue (5.81) Blade (16.85) for Hip Backing Angle (SS Angle 19.03)
 
Tongue (8.72) Blade (14.42) for Jack Rafter Side Cut Angle (SS Angle 31.15) (Saw Angle 54.00)
 
Tongue (5.81) Blade (14.42) for Purlin Rafter Plumb Cut Angle (SS Angle 21.95) (Saw Angle 19.03)
Tongue (8.72) Blade (14.42) for Purlin Rafter Cross Cut Angle (SS Angle 31.15)
 
Tongue (5.81) Blade (14.42) for Roof Sheathing Plumb Cut Angle (SS Angle 21.95) (Saw Angle 19.03)
Tongue (8.72) Blade (14.42) for Roof Sheathing Cross Cut Angle (SS Angle 31.15)
 
Tongue (8.00) Blade (12.00) for Miter Box Gable Mould Plumb Cut Angle (SS Angle 33.69)
Tongue (8.00) Blade (14.83) for Miter Box 2 Cord Polygon Gable Mould Hip Plumb Cut Angle (SS Angle 28.34)
Tongue (8.72) Blade (12.00) for Miter Box 2 Cord Polygon Gable Mould Hip Cross Cut Angle (SS Angle 36.00) (Saw Angle 36.00)
 
Tongue (5.81) Blade (14.42) for Frieze Block Plumb Cut Angle (SS Angle 21.95)
Tongue (8.72) Blade (14.42) for Frieze Block Cross Cut Angle (SS Angle 31.15) (Saw Angle 29.28)
 
Tongue (5.81) Blade (14.42) for Square Cut Fascia Plumb Cut Angle (SS Angle 21.95)
Tongue (8.72) Blade (14.42) for Square Cut Fascia Cross Cut Angle (SS Angle 31.15) (Saw Angle 29.28)
 
Tongue (2.37) Blade (8.72) for Hip Rafter Square Cut Fascia Plumb Cut Angle (SS Angle 11.15)
Tongue (8.72) Blade (14.42) for Hip Rafter Square Cut Fascia Cross Cut Angle (SS Angle 31.15) (Saw Bevel Angle 29.28)