16 Sided Polygon

16 Sided Polygon Rafter Table ( 16 - gon )

central angle = 22.5°
working angle = 11.25°
plan angle = 78.75°
miter angle = 2.39 & 12 (11.25°)
hip run per foot = 12.24
apothem multiplier = 1.01959
side wall multiplier = 0.39782

Pitch	Roof Angles		Frieze Block Angles		Hip Rafters					Jack Rafters
Pitch	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	11.25	11.25	0.00	0.00	0.00	12.24	11.25	64.02	84.13	124.35	60.33	80.44	120.66	5.02734
1	4.76	4.67	0.95	11.21	11.21	0.93	0.01	0.03	12.28	11.21	64.25	84.43	124.78	60.54	80.72	121.07	5.04477
2	9.46	9.28	1.87	11.09	11.11	1.84	0.02	0.06	12.40	11.10	64.91	85.29	126.07	61.16	81.55	122.32	5.09669
3	14.04	13.78	2.76	10.91	10.93	2.71	0.04	0.09	12.60	10.92	66.00	86.72	128.18	62.18	82.91	124.37	5.18206
4	18.43	18.10	3.60	10.67	10.71	3.54	0.05	0.11	12.87	10.69	67.49	88.69	131.08	63.59	84.79	127.18	5.29928
5	22.62	22.23	4.37	10.37	10.43	4.30	0.06	0.14	13.22	10.40	69.36	91.15	134.72	65.36	87.14	130.71	5.44628
6	26.57	26.12	5.08	10.05	10.13	5.01	0.07	0.17	13.63	10.09	71.58	94.06	139.03	67.45	89.93	134.90	5.62074
7	30.26	29.77	5.72	9.70	9.80	5.64	0.09	0.20	14.10	9.75	74.12	97.40	143.96	69.84	93.12	139.68	5.82017
8	33.69	33.18	6.30	9.34	9.45	6.21	0.10	0.23	14.62	9.40	76.95	101.12	149.45	72.51	96.67	145.01	6.04211
9	36.87	36.34	6.81	8.98	9.10	6.72	0.11	0.26	15.19	9.04	80.03	105.17	155.44	75.41	100.55	150.82	6.28417
10	39.81	39.26	7.26	8.62	8.76	7.17	0.12	0.28	15.80	8.69	83.34	109.52	161.87	78.53	104.71	157.06	6.54413
11	42.51	41.96	7.66	8.27	8.41	7.58	0.13	0.31	16.45	8.34	86.85	114.13	168.69	81.84	109.12	163.68	6.81993
12	45.00	44.44	8.01	7.93	8.08	7.93	0.15	0.34	17.14	8.01	90.54	118.98	175.86	85.32	113.76	170.63	7.10973
13	47.29	46.74	8.32	7.60	7.76	8.24	0.16	0.37	17.85	7.68	94.39	124.04	183.34	88.94	118.59	177.89	7.41189
14	49.40	48.85	8.59	7.29	7.46	8.52	0.17	0.40	18.59	7.38	98.38	129.28	191.08	92.70	123.60	185.40	7.72496
15	51.34	50.80	8.83	7.00	7.17	8.76	0.18	0.43	19.36	7.08	102.49	134.68	199.06	96.57	128.76	193.14	8.04767
16	53.13	52.60	9.04	6.72	6.89	8.98	0.20	0.46	20.14	6.81	106.71	140.22	207.25	100.55	134.06	201.09	8.37890
17	54.78	54.26	9.23	6.46	6.63	9.17	0.21	0.48	20.95	6.54	111.02	145.89	215.63	104.61	139.48	209.22	8.71768
18	56.31	55.79	9.40	6.21	6.38	9.34	0.22	0.51	21.76	6.30	115.42	151.67	224.18	108.76	145.01	217.52	9.06317
19	57.72	57.22	9.55	5.98	6.15	9.49	0.23	0.54	22.60	6.06	119.90	157.56	232.87	112.98	150.63	225.95	9.41462
20	59.04	58.54	9.68	5.76	5.93	9.63	0.24	0.57	23.45	5.84	124.44	163.53	241.70	117.26	156.34	234.51	9.77139
21	60.26	59.77	9.80	5.55	5.72	9.75	0.26	0.60	24.30	5.64	129.05	169.58	250.64	121.60	162.13	243.19	10.13293
22	61.39	60.92	9.91	5.36	5.52	9.86	0.27	0.63	25.17	5.44	133.70	175.70	259.69	125.98	167.98	251.97	10.49873
23	62.45	61.99	10.00	5.18	5.34	9.96	0.28	0.65	26.05	5.26	138.41	181.89	268.83	130.42	173.89	260.84	10.86837
24	63.43	62.99	10.09	5.01	5.16	10.05	0.29	0.68	26.94	5.08	143.16	188.13	278.06	134.90	179.86	269.80	11.24147

Framing Square usage Example: 8:12 Pitch
(Rafter Length Per Ft = 14.42) (Hip Rafter Length Per Ft = 14.62)
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 (12.24) for Hip Rafter Plumb Cut Angle (SS Angle 33.18)
Tongue (12.24) Blade (8.00) for Hip Rafter Level Cut Angle (SS Angle 56.82)

Tongue (2.43) Blade (14.62) for Hip Side Cut Angle (SS Angle 9.45) (Saw Angle 78.75)
Tongue (1.59) Blade (14.62) for Hip Backing Angle (SS Angle 6.21)

Tongue (2.39) Blade (14.42) for Jack Rafter Side Cut Angle (SS Angle 9.40) (Saw Angle 78.75)

Tongue (1.59) Blade (14.42) for Purlin Rafter Plumb Cut Angle (SS Angle 6.30) (Saw Angle 6.21)
Tongue (2.39) Blade (14.42) for Purlin Rafter Cross Cut Angle (SS Angle 9.40)

Tongue (1.59) Blade (14.42) for Roof Sheathing Plumb Cut Angle (SS Angle 6.30) (Saw Angle 6.21)
Tongue (2.39) Blade (14.42) for Roof Sheathing Cross Cut Angle (SS Angle 9.40)

Tongue (8.00) Blade (12.00) for Miter Box Gable Mould Plumb Cut Angle (SS Angle 33.69)
Tongue (8.00) Blade (12.24) for Miter Box 2 Cord Polygon Gable Mould Hip Plumb Cut Angle (SS Angle 33.18)
Tongue (2.39) Blade (12.00) for Miter Box 2 Cord Polygon Gable Mould Hip Cross Cut Angle (SS Angle 11.25) (Saw Angle 11.25)

Tongue (1.59) Blade (14.42) for Frieze Block Plumb Cut Angle (SS Angle 6.30)
Tongue (2.39) Blade (14.42) for Frieze Block Cross Cut Angle (SS Angle 9.40) (Saw Angle 9.34)

Tongue (1.59) Blade (14.42) for Square Cut Fascia Plumb Cut Angle (SS Angle 6.30)
Tongue (2.39) Blade (14.42) for Square Cut Fascia Cross Cut Angle (SS Angle 9.40) (Saw Angle 9.34)

Tongue (0.21) Blade (2.39) for Hip Rafter Square Cut Fascia Plumb Cut Angle (SS Angle 1.03)
Tongue (2.39) Blade (14.42) for Hip Rafter Square Cut Fascia Cross Cut Angle (SS Angle 9.40) (Saw Bevel Angle 9.34)