Woodworkers Club of Houston

 

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Compound Miter and Bevel Angles

 

 

 

    Four-Sided Butt      Four-Sided Miter   Six-Side Miter   Eight-Sided Miter  

Tilt of Work

In Deg

Equivalent Taper

per Inch

Bevel Degrees

Miter Degrees

Bevel Degrees

Miter Degrees

Bevel Degrees

Miter Degrees

Bevel Degrees

Miter Degrees

5

0.087

½

85

44 ¾

85

29 ¾

87 ½

22 ¼

88

10

0.176

1 ½

80 ¼

44 ¼

80 ¼

29 ½

84 ½

22

86

15

0.268

3 ¾

75 ½

43 ¼

75 ¼

29

81 ¾

21 ½

84

20

0.364

6 ¼

71 ¼

41 ¾

71 1/4

28 ¼

79

21

82

25

0.466

10

67

40

67

27 ¼

76 ½

20 ¼

80

30

0.577

14 ½

63 ½

37 ¾

63 ½

26

74

19 ½

78 ¼

35

0.700

19 ½

60 ¼

35 ½

60 ¼

24 ½

71 ¾

18 ¼

76 ¾

40

0.839

24 ½

57 ¼

32 ½

57 ¼

22 ¾

69 ¾

17

75

45

1.000

30

54 ¾

30

54 ¾

21

67 ¾

15 ¾

73 ¾

50

1.19

36

52 ½

27

52 ½

19

66 ¼

14 ½

72 ½

55

1.43

42

50 ¾

24

50 ¾

16 ¾

64 ¾

12 ½

71 ¼

60

1.73

48

49

21

49

14 ½

63 1/2

11

70 ¼

 

For flat or upright polygons, use these miter and bevel settings:

 

No of Sides

3 Triangle

4 Square

5 Pentagon

6 Hexagon

7 Heptagon

8 Octagon

9 Nonagon

10 Decagon

11 Undecagon

12 Dodecagon

Miter (in deg)

30

45

54

60

64.17

67.5

70

72

73.38

75

Bevel (in deg)

N/A

45

36

30

25.83

22.5

20

18

46.62

15

O.C. Factor

1.732

1.414

1.176

1.00

.868

.765

.684

.618

.563

.518

I.C. Factor

.289

.5

.688

.866

1.038

1.207

1.374

1.538

1.702

1.866

 

O.C. is outside diameter of polygon, I.C. is inside diameter

 

To find the inside length of each segment, divide radius of the inside circle by the I.C. Factor.

To find the outside length of each segment, multiply radius of the outside circle by the O.C. Factor.

 

The inside circle is the largest circle that would fit inside the polygon.

The outside cicle is the smallest circle that would fit outside of the polygon.

 

Table and radial arm saw bevel: Tilt the blade.

Table saw miter: Set the miter gauge.

Radial arm saw miter: Swing the arm.