9 Sided Polygon Rafter Table ( 9 - gon )
central angle = 40°
working angle = 20°
plan angle = 70°
miter angle = 4.37 & 12 (20.00°)
hip run per foot = 12.77
apothem multiplier = 1.06418
side wall multiplier = 0.72794
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 |
First |
First |
Spaced |
Spaced |
Spaced |
Multiplier |
|
0 |
|
0.00 |
|
|
20.00 |
0.00 |
0.00 |
0.00 |
12.77 |
20 |
34.90 |
45.89 |
67.87 |
32.97 |
43.96 |
65.94 |
2.74748 |
1 |
|
4.48 |
|
|
19.94 |
1.63 |
0.02 |
0.05 |
12.81 |
19.94 |
35.02 |
46.05 |
68.10 |
33.08 |
44.11 |
66.17 |
2.75700 |
2 |
|
8.90 |
|
|
19.78 |
3.22 |
0.04 |
0.10 |
12.93 |
19.75 |
35.38 |
46.52 |
68.80 |
33.42 |
44.57 |
66.85 |
2.78538 |
3 |
|
13.22 |
|
|
19.51 |
4.76 |
0.06 |
0.15 |
13.12 |
19.45 |
35.97 |
47.30 |
69.96 |
33.98 |
45.31 |
67.97 |
2.83203 |
4 |
|
17.39 |
|
|
19.15 |
6.21 |
0.09 |
0.20 |
13.38 |
19.05 |
36.79 |
48.37 |
71.54 |
34.75 |
46.34 |
69.51 |
2.89610 |
5 |
|
21.38 |
|
|
18.72 |
7.56 |
0.11 |
0.25 |
13.71 |
18.57 |
37.81 |
49.71 |
73.52 |
35.72 |
47.62 |
71.43 |
2.97643 |
6 |
|
25.17 |
|
|
18.23 |
8.80 |
0.13 |
0.30 |
14.11 |
18.03 |
39.02 |
51.30 |
75.88 |
36.86 |
49.15 |
73.72 |
3.07177 |
7 |
|
28.73 |
|
|
17.70 |
9.92 |
0.15 |
0.35 |
14.56 |
17.45 |
40.40 |
53.12 |
78.57 |
38.17 |
50.89 |
76.34 |
3.18076 |
8 |
|
32.07 |
|
|
17.14 |
10.94 |
0.17 |
0.40 |
15.07 |
16.85 |
41.94 |
55.15 |
81.57 |
39.62 |
52.83 |
79.25 |
3.30206 |
9 |
|
35.18 |
|
|
16.57 |
11.84 |
0.19 |
0.45 |
15.62 |
16.23 |
43.62 |
57.36 |
84.83 |
41.21 |
54.95 |
82.42 |
3.43435 |
10 |
|
38.06 |
|
|
15.99 |
12.65 |
0.21 |
0.50 |
16.22 |
15.62 |
45.43 |
59.73 |
88.34 |
42.92 |
57.22 |
85.83 |
3.57641 |
11 |
|
40.74 |
|
|
15.42 |
13.36 |
0.24 |
0.55 |
16.85 |
15.02 |
47.34 |
62.25 |
92.07 |
44.73 |
59.63 |
89.45 |
3.72714 |
12 |
|
43.22 |
|
|
14.86 |
14.00 |
0.26 |
0.60 |
17.52 |
14.43 |
49.35 |
64.90 |
95.98 |
46.63 |
62.17 |
93.25 |
3.88552 |
13 |
|
45.51 |
|
|
14.31 |
14.56 |
0.28 |
0.65 |
18.22 |
13.87 |
51.45 |
67.65 |
100.06 |
48.61 |
64.81 |
97.22 |
4.05065 |
14 |
|
47.63 |
|
|
13.78 |
15.05 |
0.30 |
0.70 |
18.95 |
13.33 |
53.62 |
70.51 |
104.29 |
50.66 |
67.55 |
101.32 |
4.22175 |
15 |
|
49.59 |
|
|
13.28 |
15.49 |
0.32 |
0.75 |
19.70 |
12.81 |
55.86 |
73.46 |
108.64 |
52.78 |
70.37 |
105.55 |
4.39811 |
16 |
|
51.41 |
|
|
12.79 |
15.88 |
0.34 |
0.80 |
20.47 |
12.32 |
58.16 |
76.48 |
113.11 |
54.95 |
73.27 |
109.90 |
4.57913 |
17 |
|
53.09 |
|
|
12.33 |
16.23 |
0.36 |
0.85 |
21.26 |
11.85 |
60.52 |
79.57 |
117.69 |
57.17 |
76.23 |
114.34 |
4.76428 |
18 |
|
54.65 |
|
|
11.89 |
16.53 |
0.38 |
0.90 |
22.07 |
11.41 |
62.91 |
82.73 |
122.35 |
59.44 |
79.25 |
118.87 |
4.95309 |
19 |
|
56.09 |
|
|
11.48 |
16.81 |
0.41 |
0.95 |
22.89 |
11.00 |
65.35 |
85.93 |
127.09 |
61.74 |
82.32 |
123.48 |
5.14516 |
20 |
|
57.44 |
|
|
11.08 |
17.05 |
0.43 |
1.00 |
23.73 |
10.61 |
67.83 |
89.19 |
131.91 |
64.08 |
85.44 |
128.16 |
5.34014 |
21 |
|
58.70 |
|
|
10.71 |
17.27 |
0.45 |
1.05 |
24.58 |
10.24 |
70.34 |
92.49 |
136.79 |
66.45 |
88.60 |
132.91 |
5.53772 |
22 |
|
59.87 |
|
|
10.35 |
17.47 |
0.47 |
1.10 |
25.44 |
9.89 |
72.88 |
95.83 |
141.73 |
68.85 |
91.80 |
137.70 |
5.73763 |
23 |
|
60.96 |
|
|
10.02 |
17.65 |
0.49 |
1.15 |
26.31 |
9.56 |
75.44 |
99.20 |
146.72 |
71.28 |
95.03 |
142.55 |
5.93964 |
24 |
|
61.98 |
|
|
9.70 |
17.81 |
0.51 |
1.20 |
27.19 |
9.25 |
78.03 |
102.61 |
151.76 |
73.72 |
98.30 |
147.45 |
6.14355 |
Framing Square usage Example: 8:12 Pitch
(Rafter Length Per Ft = 14.42) (Hip Rafter Length Per Ft = 15.07)
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 (12.77) for Hip Rafter Plumb Cut Angle (SS Angle 32.07)
Tongue (12.77) Blade (8.00) for Hip Rafter Level Cut Angle (SS Angle 57.93)
Tongue (4.65) Blade (15.07) for Hip Side Cut Angle (SS Angle 17.14) (Saw Angle 70.00)
Tongue (2.91) Blade (15.07) for Hip Backing Angle (SS Angle 10.94)
Tongue (4.37) Blade (14.42) for Jack Rafter Side Cut Angle (SS Angle 16.85) (Saw Angle 70.00)
Tongue (2.91) Blade (14.42) for Purlin Rafter Plumb Cut Angle (SS Angle 11.41) (Saw Angle 10.94)
Tongue (4.37) Blade (14.42) for Purlin Rafter Cross Cut Angle (SS Angle 16.85)
Tongue (2.91) Blade (14.42) for Roof Sheathing Plumb Cut Angle (SS Angle 11.41) (Saw Angle 10.94)
Tongue (4.37) Blade (14.42) for Roof Sheathing Cross Cut Angle (SS Angle 16.85)
Tongue (8.00) Blade (12.00) for Miter Box Gable Mould Plumb Cut Angle (SS Angle 33.69)
Tongue (8.00) Blade (12.77) for Miter Box 2 Cord Polygon Gable Mould Hip Plumb Cut Angle (SS Angle 32.07)
Tongue (4.37) Blade (12.00) for Miter Box 2 Cord Polygon Gable Mould Hip Cross Cut Angle (SS Angle 20.00) (Saw Angle 20.00)
Tongue (2.91) Blade (14.42) for Frieze Block Plumb Cut Angle (SS Angle 11.41)
Tongue (4.37) Blade (14.42) for Frieze Block Cross Cut Angle (SS Angle 16.85) (Saw Angle 16.53)
Tongue (2.91) Blade (14.42) for Square Cut Fascia Plumb Cut Angle (SS Angle 11.41)
Tongue (4.37) Blade (14.42) for Square Cut Fascia Cross Cut Angle (SS Angle 16.85) (Saw Angle 16.53)
Tongue (0.69) Blade (4.37) for Hip Rafter Square Cut Fascia Plumb Cut Angle (SS Angle 3.29)
Tongue (4.37) Blade (14.42) for Hip Rafter Square Cut Fascia Cross Cut Angle (SS Angle 16.85) (Saw Bevel Angle 16.53)