4 Sided Polygon Rafter Table ( 4 - gon )


central angle = 90
working angle = 45
plan angle = 45
miter angle = 12.00 & 12 (45.00)
hip run per foot = 16.97
apothem multiplier = 1.41421
side wall multiplier = 2.00000

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

45

45.00

0.00

0.00

0.00

16.97

45

12.44

16.44

24.44

12.00

16.00

24.00

1.00000

1

4.76

3.37

4.75

44.80

44.95

3.37

0.04

0.10

17.00

44.90

12.48

16.50

24.52

12.04

16.06

24.08

1.00347

2

9.46

6.72

9.34

44.23

44.80

6.68

0.09

0.21

17.09

44.61

12.61

16.67

24.78

12.17

16.22

24.33

1.01379

3

14.04

10.02

13.63

43.31

44.56

9.87

0.13

0.31

17.23

44.13

12.82

16.95

25.19

12.37

16.49

24.74

1.03078

4

18.43

13.26

17.55

42.13

44.23

12.92

0.18

0.41

17.44

43.49

13.11

17.33

25.76

12.65

16.87

25.30

1.05409

5

22.62

16.42

21.04

40.75

43.81

15.78

0.22

0.52

17.69

42.71

13.48

17.81

26.48

13.00

17.33

26.00

1.08333

6

26.57

19.47

24.09

39.23

43.31

18.43

0.27

0.62

18.00

41.81

13.91

18.38

27.32

13.42

17.89

26.83

1.11803

7

30.26

22.42

26.74

37.65

42.75

20.87

0.31

0.72

18.36

40.82

14.40

19.03

28.29

13.89

18.52

27.78

1.15770

8

33.69

25.24

29.02

36.04

42.13

23.09

0.35

0.82

18.76

39.76

14.95

19.76

29.37

14.42

19.23

28.84

1.20185

9

36.87

27.94

30.96

34.45

41.46

25.10

0.40

0.93

19.21

38.66

15.55

20.55

30.55

15.00

20.00

30.00

1.25000

10

39.81

30.51

32.63

32.90

40.75

26.92

0.44

1.03

19.70

37.53

16.19

21.40

31.81

15.62

20.83

31.24

1.30171

11

42.51

32.95

34.05

31.42

40.00

28.54

0.49

1.13

20.22

36.40

16.87

22.30

33.15

16.28

21.71

32.56

1.35657

12

45.00

35.26

35.26

30.00

39.23

30.00

0.53

1.24

20.78

35.26

17.59

23.25

34.56

16.97

22.63

33.94

1.41421

13

47.29

37.45

36.31

28.66

38.44

31.30

0.57

1.34

21.38

34.15

18.34

24.24

36.03

17.69

23.59

35.38

1.47432

14

49.40

39.52

37.21

27.40

37.65

32.47

0.62

1.44

22.00

33.06

19.11

25.26

37.55

18.44

24.59

36.88

1.53659

15

51.34

41.47

37.99

26.21

36.84

33.52

0.66

1.55

22.65

31.99

19.91

26.32

39.12

19.21

25.61

38.42

1.60078

16

53.13

43.31

38.66

25.10

36.04

34.45

0.71

1.65

23.32

30.96

20.73

27.40

40.73

20.00

26.67

40.00

1.66667

17

54.78

45.05

39.25

24.07

35.24

35.29

0.75

1.75

24.02

29.97

21.57

28.51

42.38

20.81

27.74

41.62

1.73405

18

56.31

46.69

39.76

23.09

34.45

36.04

0.80

1.86

24.74

29.02

22.43

29.64

44.06

21.63

28.84

43.27

1.80278

19

57.72

48.23

40.21

22.18

33.67

36.72

0.84

1.96

25.48

28.10

23.29

30.79

45.77

22.47

29.96

44.94

1.87268

20

59.04

49.68

40.61

21.33

32.90

37.33

0.88

2.06

26.23

27.23

24.18

31.95

47.50

23.32

31.10

46.65

1.94365

21

60.26

51.06

40.97

20.54

32.15

37.87

0.93

2.17

27.00

26.39

25.07

33.13

49.26

24.19

32.25

48.37

2.01556

22

61.39

52.35

41.28

19.79

31.42

38.37

0.97

2.27

27.78

25.59

25.98

34.33

51.04

25.06

33.41

50.12

2.08833

23

62.45

53.58

41.56

19.09

30.70

38.82

1.02

2.37

28.58

24.82

26.89

35.54

52.83

25.94

34.59

51.88

2.16185

24

63.43

54.74

41.81

18.43

30.00

39.23

1.06

2.47

29.39

24.09

27.82

36.76

54.65

26.83

35.78

53.67

2.23607


Framing Square usage Example: 8:12 Pitch
(Rafter Length Per Ft = 14.42) (Hip Rafter Length Per Ft = 18.76)
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 (16.97) for Hip Rafter Plumb Cut Angle (SS Angle 25.24)
Tongue (16.97) Blade (8.00) for Hip Rafter Level Cut Angle (SS Angle 64.76)
 
Tongue (16.97) Blade (18.76) for Hip Side Cut Angle (SS Angle 42.13) (Saw Angle 45.00)
Tongue (8.00) Blade (18.76) for Hip Backing Angle (SS Angle 23.09)
 
Tongue (12.00) Blade (14.42) for Jack Rafter Side Cut Angle (SS Angle 39.76) (Saw Angle 45.00)
 
Tongue (8.00) Blade (14.42) for Purlin Rafter Plumb Cut Angle (SS Angle 29.02) (Saw Angle 23.09)
Tongue (12.00) Blade (14.42) for Purlin Rafter Cross Cut Angle (SS Angle 39.76)
 
Tongue (8.00) Blade (14.42) for Roof Sheathing Plumb Cut Angle (SS Angle 29.02) (Saw Angle 23.09)
Tongue (12.00) Blade (14.42) for Roof Sheathing Cross Cut Angle (SS Angle 39.76)
 
Tongue (8.00) Blade (12.00) for Miter Box Gable Mould Plumb Cut Angle (SS Angle 33.69)
Tongue (8.00) Blade (16.97) for Miter Box 2 Cord Polygon Gable Mould Hip Plumb Cut Angle (SS Angle 25.24)
Tongue (12.00) Blade (12.00) for Miter Box 2 Cord Polygon Gable Mould Hip Cross Cut Angle (SS Angle 45.00) (Saw Angle 45.00)
 
Tongue (8.00) Blade (14.42) for Frieze Block Plumb Cut Angle (SS Angle 29.02)
Tongue (12.00) Blade (14.42) for Frieze Block Cross Cut Angle (SS Angle 39.76) (Saw Angle 36.04)
 
Tongue (8.00) Blade (14.42) for Square Cut Fascia Plumb Cut Angle (SS Angle 29.02)
Tongue (12.00) Blade (14.42) for Square Cut Fascia Cross Cut Angle (SS Angle 39.76) (Saw Angle 36.04)
 
Tongue (3.92) Blade (12.00) for Hip Rafter Square Cut Fascia Plumb Cut Angle (SS Angle 18.07)
Tongue (12.00) Blade (14.42) for Hip Rafter Square Cut Fascia Cross Cut Angle (SS Angle 39.76) (Saw Bevel Angle 36.04)