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 |
First |
First |
Spaced |
Spaced |
Spaced |
Multiplier |
|
0 |
|
0.00 |
|
|
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 |
|
3.37 |
|
|
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 |
|
6.72 |
|
|
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 |
|
10.02 |
|
|
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 |
|
13.26 |
|
|
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 |
|
16.42 |
|
|
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 |
|
19.47 |
|
|
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 |
|
22.42 |
|
|
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 |
|
25.24 |
|
|
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 |
|
27.94 |
|
|
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 |
|
30.51 |
|
|
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 |
|
32.95 |
|
|
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 |
|
35.26 |
|
|
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 |
|
37.45 |
|
|
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 |
|
39.52 |
|
|
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 |
|
41.47 |
|
|
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 |
|
43.31 |
|
|
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 |
|
45.05 |
|
|
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 |
|
46.69 |
|
|
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 |
|
48.23 |
|
|
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 |
|
49.68 |
|
|
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 |
|
51.06 |
|
|
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 |
|
52.35 |
|
|
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 |
|
53.58 |
|
|
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 |
|
54.74 |
|
|
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)