48 Sided Polygon Rafter Table ( 48 - gon )


central angle = 7.5
working angle = 3.75
plan angle = 86.25
miter angle = 0.79 & 12 (3.75)
hip run per foot = 12.03
apothem multiplier = 1.00215
side wall multiplier = 0.13109

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

3.75

3.75

0.00

0.00

0.00

12.03

3.75

194.50

255.53

377.59

183.08

244.11

366.17

15.25705

1

4.76

4.75

0.31

3.74

3.74

0.31

0.00

0.01

12.07

3.74

195.18

256.42

378.90

183.72

244.96

367.44

15.30994

2

9.46

9.44

0.62

3.70

3.70

0.62

0.01

0.02

12.19

3.70

197.19

259.06

382.80

185.61

247.48

371.22

15.46750

3

14.04

14.01

0.91

3.64

3.64

0.91

0.01

0.03

12.39

3.64

200.49

263.40

389.21

188.72

251.63

377.44

15.72661

4

18.43

18.40

1.19

3.56

3.56

1.19

0.02

0.04

12.67

3.56

205.02

269.35

398.01

192.99

257.32

385.98

16.08234

5

22.62

22.58

1.44

3.46

3.46

1.44

0.02

0.05

13.02

3.46

210.71

276.83

409.05

198.34

264.46

396.68

16.52847

6

26.57

26.52

1.68

3.35

3.36

1.68

0.02

0.06

13.44

3.36

217.46

285.69

422.16

204.69

272.93

409.39

17.05790

7

30.26

30.20

1.89

3.24

3.24

1.89

0.03

0.07

13.91

3.24

225.18

295.83

437.13

211.96

282.61

423.92

17.66314

8

33.69

33.63

2.08

3.12

3.12

2.08

0.03

0.08

14.44

3.12

233.76

307.11

453.80

220.04

293.39

440.08

18.33669

9

36.87

36.81

2.25

3.00

3.00

2.25

0.04

0.09

15.02

3.00

243.13

319.41

471.98

228.86

305.14

457.71

19.07131

10

39.81

39.75

2.40

2.88

2.89

2.40

0.04

0.10

15.64

2.88

253.19

332.63

491.51

238.32

317.76

476.65

19.86023

11

42.51

42.45

2.54

2.76

2.77

2.53

0.04

0.10

16.30

2.77

263.86

346.65

512.22

248.37

331.16

496.73

20.69723

12

45.00

44.94

2.65

2.65

2.66

2.65

0.05

0.11

16.99

2.65

275.07

361.38

533.99

258.92

345.23

517.84

21.57673

13

47.29

47.23

2.76

2.54

2.55

2.75

0.05

0.12

17.71

2.55

286.76

376.73

556.68

269.92

359.90

539.85

22.49373

14

49.40

49.34

2.85

2.44

2.45

2.85

0.06

0.13

18.46

2.44

298.87

392.65

580.20

281.33

375.10

562.65

23.44384

15

51.34

51.28

2.93

2.34

2.35

2.93

0.06

0.14

19.23

2.34

311.36

409.05

604.43

293.08

390.77

586.16

24.42320

16

53.13

53.07

3.00

2.25

2.26

3.00

0.07

0.15

20.02

2.25

324.17

425.89

629.31

305.14

406.85

610.28

25.42842

17

54.78

54.72

3.07

2.16

2.17

3.06

0.07

0.16

20.82

2.16

337.28

443.10

654.76

317.48

423.30

634.96

26.45656

18

56.31

56.25

3.12

2.08

2.09

3.12

0.07

0.17

21.65

2.08

350.65

460.67

680.71

330.06

440.08

660.12

27.50504

19

57.72

57.67

3.17

2.00

2.01

3.17

0.08

0.18

22.49

2.00

364.24

478.53

707.10

342.86

457.15

685.72

28.57163

20

59.04

58.98

3.22

1.93

1.93

3.21

0.08

0.19

23.34

1.93

378.05

496.66

733.90

355.85

474.47

711.71

29.65438

21

60.26

60.20

3.26

1.86

1.87

3.26

0.09

0.20

24.20

1.86

392.03

515.04

761.05

369.02

492.03

738.04

30.75157

22

61.39

61.34

3.29

1.79

1.80

3.29

0.09

0.21

25.07

1.80

406.19

533.63

788.53

382.34

509.79

764.68

31.86172

23

62.45

62.40

3.33

1.73

1.74

3.32

0.09

0.22

25.95

1.74

420.49

552.42

816.29

395.80

527.74

791.60

32.98351

24

63.43

63.39

3.36

1.68

1.68

3.35

0.10

0.23

26.84

1.68

434.92

571.38

844.31

409.39

545.85

818.78

34.11580


Framing Square usage Example: 8:12 Pitch
(Rafter Length Per Ft = 14.42) (Hip Rafter Length Per Ft = 14.44)
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 (12.03) for Hip Rafter Plumb Cut Angle (SS Angle 33.63)
Tongue (12.03) Blade (8.00) for Hip Rafter Level Cut Angle (SS Angle 56.37)
 
Tongue (0.79) Blade (14.44) for Hip Side Cut Angle (SS Angle 3.12) (Saw Angle 86.25)
Tongue (0.52) Blade (14.44) for Hip Backing Angle (SS Angle 2.08)
 
Tongue (0.79) Blade (14.42) for Jack Rafter Side Cut Angle (SS Angle 3.12) (Saw Angle 86.25)
 
Tongue (0.52) Blade (14.42) for Purlin Rafter Plumb Cut Angle (SS Angle 2.08) (Saw Angle 2.08)
Tongue (0.79) Blade (14.42) for Purlin Rafter Cross Cut Angle (SS Angle 3.12)
 
Tongue (0.52) Blade (14.42) for Roof Sheathing Plumb Cut Angle (SS Angle 2.08) (Saw Angle 2.08)
Tongue (0.79) Blade (14.42) for Roof Sheathing Cross Cut Angle (SS Angle 3.12)
 
Tongue (8.00) Blade (12.00) for Miter Box Gable Mould Plumb Cut Angle (SS Angle 33.69)
Tongue (8.00) Blade (12.03) for Miter Box 2 Cord Polygon Gable Mould Hip Plumb Cut Angle (SS Angle 33.63)
Tongue (0.79) Blade (12.00) for Miter Box 2 Cord Polygon Gable Mould Hip Cross Cut Angle (SS Angle 3.75) (Saw Angle 3.75)
 
Tongue (0.52) Blade (14.42) for Frieze Block Plumb Cut Angle (SS Angle 2.08)
Tongue (0.79) Blade (14.42) for Frieze Block Cross Cut Angle (SS Angle 3.12) (Saw Angle 3.12)
 
Tongue (0.52) Blade (14.42) for Square Cut Fascia Plumb Cut Angle (SS Angle 2.08)
Tongue (0.79) Blade (14.42) for Square Cut Fascia Cross Cut Angle (SS Angle 3.12) (Saw Angle 3.12)
 
Tongue (0.02) Blade (0.79) for Hip Rafter Square Cut Fascia Plumb Cut Angle (SS Angle 0.11)
Tongue (0.79) Blade (14.42) for Hip Rafter Square Cut Fascia Cross Cut Angle (SS Angle 3.12) (Saw Bevel Angle 3.12)