24 Sided Polygon

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
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	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)