Tuesday, February 5, 2013

8 Sided Polygon Rafter Table ( 8 - gon ) Octagon


8 Sided Polygon Rafter Table ( 8 - gon )

central angle = 45°
working angle = 22.5°
plan angle = 67.5°
miter angle = 4.97 & 12 (22.50°)
hip run per foot = 12.99
apothem multiplier = 1.08239
side wall multiplier = 0.82843
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
22.5
22.50
0.00
0.00
0.00
12.99
22.5
30.63
40.29
59.60
28.97
38.63
57.94
2.41421
1
4.76
4.40
1.97
22.42
22.44
1.82
0.02
0.06
13.03
22.43
30.74
40.43
59.81
29.07
38.76
58.14
2.42258
2
9.46
8.75
3.90
22.18
22.26
3.61
0.05
0.11
13.14
22.22
31.05
40.84
60.42
29.37
39.16
58.74
2.44751
3
14.04
13.01
5.74
21.79
21.98
5.33
0.07
0.17
13.33
21.89
31.57
41.53
61.44
29.86
39.82
59.72
2.48851
4
18.43
17.12
7.46
21.29
21.60
6.95
0.10
0.22
13.59
21.45
32.29
42.47
62.83
30.54
40.72
61.08
2.54480
5
22.62
21.05
9.05
20.69
21.13
8.46
0.12
0.28
13.92
20.92
33.18
43.65
64.57
31.38
41.85
62.77
2.61540
6
26.57
24.79
10.49
20.02
20.61
9.85
0.14
0.33
14.31
20.33
34.25
45.04
66.64
32.39
43.19
64.78
2.69917
7
30.26
28.32
11.79
19.30
20.03
11.12
0.17
0.39
14.75
19.69
35.46
46.64
69.00
33.54
44.72
67.08
2.79494
8
33.69
31.63
12.94
18.57
19.43
12.26
0.19
0.45
15.25
19.02
36.82
48.42
71.63
34.82
46.42
69.64
2.90152
9
36.87
34.72
13.96
17.83
18.80
13.27
0.22
0.50
15.80
18.33
38.29
50.36
74.50
36.21
48.28
72.43
3.01777
10
39.81
37.59
14.85
17.10
18.17
14.18
0.24
0.56
16.39
17.65
39.87
52.44
77.59
37.71
50.28
75.42
3.14260
11
42.51
40.26
15.64
16.39
17.54
14.99
0.26
0.61
17.02
16.98
41.55
54.65
80.86
39.30
52.40
78.60
3.27505
12
45.00
42.73
16.32
15.70
16.92
15.70
0.29
0.67
17.68
16.32
43.32
56.98
84.29
40.97
54.63
81.94
3.41421
13
47.29
45.02
16.93
15.04
16.32
16.33
0.31
0.73
18.38
15.69
45.16
59.40
87.87
42.71
56.95
85.42
3.55932
14
49.40
47.15
17.46
14.42
15.73
16.89
0.33
0.78
19.10
15.09
47.07
61.91
91.58
44.52
59.35
89.03
3.70966
15
51.34
49.11
17.92
13.83
15.17
17.39
0.36
0.84
19.84
14.51
49.04
64.49
95.41
46.38
61.83
92.75
3.86463
16
53.13
50.93
18.33
13.27
14.63
17.83
0.38
0.89
20.61
13.96
51.05
67.15
99.34
48.28
64.38
96.57
4.02369
17
54.78
52.62
18.70
12.75
14.12
18.22
0.41
0.95
21.39
13.43
53.12
69.86
103.35
50.24
66.98
100.47
4.18638
18
56.31
54.19
19.02
12.26
13.62
18.57
0.43
1.00
22.20
12.94
55.22
72.63
107.45
52.23
69.64
104.45
4.35229
19
57.72
55.64
19.30
11.79
13.16
18.88
0.45
1.06
23.02
12.47
57.36
75.45
111.62
54.25
72.34
108.51
4.52106
20
59.04
57.00
19.55
11.36
12.71
19.16
0.48
1.12
23.85
12.03
59.54
78.31
115.85
56.31
75.08
112.62
4.69239
21
60.26
58.26
19.78
10.94
12.29
19.41
0.50
1.17
24.69
11.61
61.74
81.20
120.13
58.39
77.86
116.78
4.86600
22
61.39
59.44
19.98
10.56
11.89
19.63
0.53
1.23
25.55
11.22
63.97
84.14
124.47
60.50
80.67
121.00
5.04167
23
62.45
60.55
20.17
10.20
11.51
19.83
0.55
1.28
26.41
10.85
66.22
87.10
128.85
62.63
83.51
125.26
5.21918
24
63.43
61.58
20.33
9.85
11.15
20.02
0.57
1.34
27.29
10.49
68.50
90.09
133.28
64.78
86.37
129.56
5.39835

Framing Square usage Example: 8:12 Pitch
(Rafter Length Per Ft = 14.42) (Hip Rafter Length Per Ft = 15.25)
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 (12.99) for Hip Rafter Plumb Cut Angle (SS Angle 31.63)
Tongue (12.99) Blade (8.00) for Hip Rafter Level Cut Angle (SS Angle 58.37)
 
Tongue (5.38) Blade (15.25) for Hip Side Cut Angle (SS Angle 19.43) (Saw Angle 67.50)
Tongue (3.31) Blade (15.25) for Hip Backing Angle (SS Angle 12.26)
 
Tongue (4.97) Blade (14.42) for Jack Rafter Side Cut Angle (SS Angle 19.02) (Saw Angle 67.50)
 
Tongue (3.31) Blade (14.42) for Purlin Rafter Plumb Cut Angle (SS Angle 12.94) (Saw Angle 12.26)
Tongue (4.97) Blade (14.42) for Purlin Rafter Cross Cut Angle (SS Angle 19.02)
 
Tongue (3.31) Blade (14.42) for Roof Sheathing Plumb Cut Angle (SS Angle 12.94) (Saw Angle 12.26)
Tongue (4.97) Blade (14.42) for Roof Sheathing Cross Cut Angle (SS Angle 19.02)
 
Tongue (8.00) Blade (12.00) for Miter Box Gable Mould Plumb Cut Angle (SS Angle 33.69)
Tongue (8.00) Blade (12.99) for Miter Box 2 Cord Polygon Gable Mould Hip Plumb Cut Angle (SS Angle 31.63)
Tongue (4.97) Blade (12.00) for Miter Box 2 Cord Polygon Gable Mould Hip Cross Cut Angle (SS Angle 22.50) (Saw Angle 22.50)
 
Tongue (3.31) Blade (14.42) for Frieze Block Plumb Cut Angle (SS Angle 12.94)
Tongue (4.97) Blade (14.42) for Frieze Block Cross Cut Angle (SS Angle 19.02) (Saw Angle 18.57)
 
Tongue (3.31) Blade (14.42) for Square Cut Fascia Plumb Cut Angle (SS Angle 12.94)
Tongue (4.97) Blade (14.42) for Square Cut Fascia Cross Cut Angle (SS Angle 19.02) (Saw Angle 18.57)
 
Tongue (0.88) Blade (4.97) for Hip Rafter Square Cut Fascia Plumb Cut Angle (SS Angle 4.18)
Tongue (4.97) Blade (14.42) for Hip Rafter Square Cut Fascia Cross Cut Angle (SS Angle 19.02) (Saw Bevel Angle 18.57)

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