24 Sided Polygon Rafter Table ( 24 - gon )


central angle = 15
working angle = 7.5
plan angle = 82.5
miter angle = 1.58 & 12 (7.50)
hip run per foot = 12.10
apothem multiplier = 1.00863
side wall multiplier = 0.26330

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

7.5

7.50

0.00

0.00

0.00

12.10

7.5

96.80

127.18

187.95

91.15

121.53

182.30

7.59575

1

4.76

4.72

0.63

7.47

7.47

0.62

0.01

0.02

12.14

7.47

97.13

127.62

188.60

91.46

121.95

182.93

7.62208

2

9.46

9.38

1.24

7.40

7.40

1.23

0.02

0.04

12.27

7.40

98.13

128.93

190.54

92.41

123.21

184.81

7.70053

3

14.04

13.92

1.83

7.27

7.28

1.81

0.02

0.06

12.47

7.28

99.78

131.09

193.73

93.95

125.27

187.91

7.82952

4

18.43

18.29

2.38

7.11

7.13

2.37

0.03

0.08

12.75

7.12

102.03

134.06

198.11

96.08

128.11

192.16

8.00663

5

22.62

22.45

2.90

6.92

6.94

2.88

0.04

0.10

13.10

6.93

104.86

137.78

203.61

98.74

131.66

197.49

8.22873

6

26.57

26.37

3.37

6.70

6.73

3.35

0.05

0.11

13.51

6.72

108.22

142.19

210.13

101.91

135.88

203.82

8.49231

7

30.26

30.04

3.80

6.47

6.50

3.77

0.06

0.13

13.98

6.49

112.06

147.24

217.59

105.52

140.70

211.05

8.79363

8

33.69

33.46

4.18

6.23

6.27

4.15

0.07

0.15

14.51

6.25

116.34

152.85

225.88

109.55

146.06

219.10

9.12896

9

36.87

36.63

4.52

5.99

6.03

4.49

0.07

0.17

15.08

6.01

121.00

158.97

234.93

113.94

151.92

227.87

9.49469

10

39.81

39.56

4.82

5.75

5.80

4.79

0.08

0.19

15.70

5.78

126.00

165.55

244.65

118.65

158.20

237.30

9.88746

11

42.51

42.27

5.08

5.52

5.56

5.06

0.09

0.21

16.36

5.54

131.31

172.53

254.96

123.65

164.87

247.30

10.30416

12

45.00

44.75

5.32

5.30

5.34

5.30

0.10

0.23

17.04

5.32

136.89

179.86

265.80

128.90

171.87

257.81

10.74202

13

47.29

47.05

5.53

5.08

5.13

5.50

0.11

0.25

17.76

5.10

142.71

187.50

277.09

134.38

179.18

268.77

11.19855

14

49.40

49.16

5.71

4.87

4.92

5.69

0.11

0.27

18.51

4.90

148.74

195.42

288.80

140.06

186.75

280.12

11.67157

15

51.34

51.10

5.87

4.68

4.73

5.85

0.12

0.29

19.27

4.70

154.95

203.59

300.86

145.91

194.55

291.82

12.15914

16

53.13

52.89

6.01

4.49

4.54

5.99

0.13

0.30

20.06

4.52

161.33

211.97

313.24

151.92

202.55

303.83

12.65959

17

54.78

54.55

6.14

4.32

4.37

6.12

0.14

0.32

20.87

4.34

167.85

220.54

325.91

158.06

210.74

316.11

13.17145

18

56.31

56.08

6.25

4.15

4.20

6.23

0.15

0.34

21.69

4.18

174.50

229.28

338.82

164.32

219.10

328.64

13.69344

19

57.72

57.50

6.35

4.00

4.05

6.34

0.15

0.36

22.53

4.02

181.27

238.17

351.96

170.69

227.59

341.39

14.22445

20

59.04

58.82

6.44

3.85

3.90

6.43

0.16

0.38

23.38

3.87

188.14

247.19

365.30

177.16

236.22

354.32

14.76349

21

60.26

60.04

6.52

3.71

3.76

6.51

0.17

0.40

24.24

3.74

195.10

256.34

378.82

183.72

244.96

367.43

15.30973

22

61.39

61.18

6.59

3.58

3.63

6.58

0.18

0.42

25.11

3.61

202.14

265.59

392.49

190.35

253.80

380.70

15.86242

23

62.45

62.24

6.66

3.46

3.51

6.65

0.19

0.44

25.99

3.48

209.26

274.94

406.31

197.05

262.73

394.10

16.42091

24

63.43

63.24

6.72

3.35

3.39

6.70

0.20

0.46

26.88

3.37

216.44

284.38

420.26

203.82

271.75

407.63

16.98462


Framing Square usage Example: 8:12 Pitch
(Rafter Length Per Ft = 14.42) (Hip Rafter Length Per Ft = 14.51)
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 (12.10) for Hip Rafter Plumb Cut Angle (SS Angle 33.46)
Tongue (12.10) Blade (8.00) for Hip Rafter Level Cut Angle (SS Angle 56.54)
 
Tongue (1.59) Blade (14.51) for Hip Side Cut Angle (SS Angle 6.27) (Saw Angle 82.50)
Tongue (1.05) Blade (14.51) for Hip Backing Angle (SS Angle 4.15)
 
Tongue (1.58) Blade (14.42) for Jack Rafter Side Cut Angle (SS Angle 6.25) (Saw Angle 82.50)
 
Tongue (1.05) Blade (14.42) for Purlin Rafter Plumb Cut Angle (SS Angle 4.18) (Saw Angle 4.15)
Tongue (1.58) Blade (14.42) for Purlin Rafter Cross Cut Angle (SS Angle 6.25)
 
Tongue (1.05) Blade (14.42) for Roof Sheathing Plumb Cut Angle (SS Angle 4.18) (Saw Angle 4.15)
Tongue (1.58) Blade (14.42) for Roof Sheathing Cross Cut Angle (SS Angle 6.25)
 
Tongue (8.00) Blade (12.00) for Miter Box Gable Mould Plumb Cut Angle (SS Angle 33.69)
Tongue (8.00) Blade (12.10) for Miter Box 2 Cord Polygon Gable Mould Hip Plumb Cut Angle (SS Angle 33.46)
Tongue (1.58) Blade (12.00) for Miter Box 2 Cord Polygon Gable Mould Hip Cross Cut Angle (SS Angle 7.50) (Saw Angle 7.50)
 
Tongue (1.05) Blade (14.42) for Frieze Block Plumb Cut Angle (SS Angle 4.18)
Tongue (1.58) Blade (14.42) for Frieze Block Cross Cut Angle (SS Angle 6.25) (Saw Angle 6.23)
 
Tongue (1.05) Blade (14.42) for Square Cut Fascia Plumb Cut Angle (SS Angle 4.18)
Tongue (1.58) Blade (14.42) for Square Cut Fascia Cross Cut Angle (SS Angle 6.25) (Saw Angle 6.23)
 
Tongue (0.10) Blade (1.58) for Hip Rafter Square Cut Fascia Plumb Cut Angle (SS Angle 0.45)
Tongue (1.58) Blade (14.42) for Hip Rafter Square Cut Fascia Cross Cut Angle (SS Angle 6.25) (Saw Bevel Angle 6.23)