Hip Rake Wall Plan C

Hip Rake Wall Calculations Plan C

Saw Miter Angle for Common Rafter Pitch Rake Wall
Saw Miter Angle = arctan ( tan (Direction Of Saw Travel ) ÷ cos (Roof Slope ))
Saw Miter Angle for Hip Rafter Pitch Rake Wall
Saw Miter Angle = 180° - Real Roof Surface Angle - Saw Miter Angle for Common Rafter Pitch Rake Wall
Saw Blade Bevel Angle = arcsin ( sin (Roof Slope ) × cos (Direction Of Saw Travel ))

Hip Rake Wall Calculations Plan A
Hip Rake Wall Calculations Plan B
Hip Rake Wall Calculations Plan C
Hip Rake Wall Calculator

Hip Rake Wall Calculations For Plan C

Pitch	Pitch Angle	Roof Surface Angle Corner A	Roof Surface Angle Corner B	A1 Miter Angle	A1 Saw Blade Bevel Angle	H1 Miter Angle	H1 Saw Blade Bevel Angle	H2 Miter Angle	H2 Saw Blade Bevel Angle	R2 Miter Angle	R2 Saw Blade Bevel Angle	R1 Miter Angle	R1 Saw Blade Bevel Angle	Hip Rake Wall Pitch Angle	Hip Rake Wall Hip Backing Angle	Hip Rake Wall Stud Miter Angle	Hip Rake Wall Stud Saw Blade Bevel Angle
0.00	0.00	135.00000	135.00000	22.5°	0.00°	22.50000	0.00000	22.50000	0.00000	22.50000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000
1.00	4.76	134.90087	135.09913	22.5°	0.00°	22.66914	1.82117	22.33069	4.40029	22.57018	4.40029	0.00000	4.76364	3.37229	3.36646	3.37229	3.36646
2.00	9.46	134.60755	135.39245	22.5°	0.00°	23.16862	3.60702	21.82869	8.73617	22.77886	8.73617	0.00000	9.46232	6.72137	6.67559	6.72137	6.67559
3.00	14.04	134.13175	135.86825	22.5°	0.00°	23.97571	5.32554	21.01113	12.94841	23.12062	12.94841	0.00000	14.03624	10.02499	9.87496	10.02499	9.87496
4.00	18.43	133.49152	136.50848	22.5°	0.00°	25.05576	6.95069	19.90450	16.98710	23.58702	16.98710	0.00000	18.43495	13.26268	12.92097	13.26268	12.92097
5.00	22.62	132.70939	137.29061	22.5°	0.00°	26.36621	8.46388	18.54212	20.81418	24.16727	20.81418	0.00000	22.61986	16.41644	15.78118	16.41644	15.78118
6.00	26.57	131.81031	138.18969	22.5°	0.00°	27.86083	9.85418	16.96123	24.40422	24.84908	24.40422	0.00000	26.56505	19.47122	18.43495	19.47122	18.43495
7.00	30.26	130.81976	139.18024	22.5°	0.00°	29.49359	11.11758	15.20034	27.74363	25.61942	27.74363	0.00000	30.25644	22.41512	20.87256	22.41512	20.87256
8.00	33.69	129.76216	140.23784	22.5°	0.00°	31.22151	12.25568	13.29699	30.82891	26.46517	30.82891	0.00000	33.69007	25.23940	23.09347	25.23940	23.09347
9.00	36.87	128.65981	141.34019	22.5°	0.00°	33.00650	13.27412	11.28618	33.66442	27.37363	33.66442	0.00000	36.86990	27.93835	25.10409	27.93835	25.10409
10.00	39.81	127.53224	142.46776	22.5°	0.00°	34.81629	14.18112	9.19935	36.26020	28.33289	36.26020	0.00000	39.80557	30.50896	26.91568	30.50896	26.91568
11.00	42.51	126.39594	143.60406	22.5°	0.00°	36.62458	14.98633	7.06391	38.62996	29.33203	38.62996	0.00000	42.51045	32.95055	28.54243	32.95055	28.54243
12.00	45.00	125.26439	144.73561	22.5°	0.00°	38.41066	15.69986	4.90320	40.78947	30.36119	40.78947	0.00000	45.00000	35.26439	30.00000	35.26439	30.00000
13.00	47.29	124.14826	145.85174	22.5°	0.00°	40.15888	16.33166	2.73660	42.75539	31.41167	42.75539	0.00000	47.29061	37.45328	31.30438	37.45328	31.30438
14.00	49.40	123.05573	146.94427	22.5°	0.00°	41.85784	16.89118	0.57993	44.54439	32.47580	44.54439	0.00000	49.39871	39.52120	32.47119	39.52120	32.47119
15.00	51.34	121.99282	148.00718	22.5°	0.00°	43.49969	17.38708	1.55416	46.17256	33.54697	46.17256	0.00000	51.34019	41.47293	33.51516	41.47293	33.51516
16.00	53.13	120.96376	149.03624	22.5°	0.00°	45.07940	17.82717	3.65573	47.65511	34.61949	47.65511	0.00000	53.13010	43.31386	34.44990	43.31386	34.44990
17.00	54.78	119.97133	150.02867	22.5°	0.00°	46.59417	18.21841	5.71718	49.00614	35.68851	49.00614	0.00000	54.78241	45.04965	35.28778	45.04965	35.28778
18.00	56.31	119.01714	150.98286	22.5°	0.00°	48.04292	18.56691	7.73281	50.23857	36.74995	50.23857	0.00000	56.30993	46.68614	36.03989	46.68614	36.03989
19.00	57.72	118.10190	151.89810	22.5°	0.00°	49.42582	18.87803	9.69851	51.36414	37.80041	51.36414	0.00000	57.72436	48.22917	36.71614	48.22917	36.71614
20.00	59.04	117.22563	152.77437	22.5°	0.00°	50.74398	19.15643	11.61144	52.39348	38.83707	52.39348	0.00000	59.03624	49.68446	37.32526	49.68446	37.32526
21.00	60.26	116.38780	153.61220	22.5°	0.00°	51.99917	19.40614	13.46983	53.33610	39.85763	53.33610	0.00000	60.25512	51.05756	37.87498	51.05756	37.87498
22.00	61.39	115.58753	154.41247	22.5°	0.00°	53.19363	19.63069	15.27272	54.20058	40.86025	54.20058	0.00000	61.38954	52.35379	38.37209	52.35379	38.37209
23.00	62.45	114.82366	155.17634	22.5°	0.00°	54.32986	19.83309	17.01981	54.99456	41.84346	54.99456	0.00000	62.44719	53.57822	38.82253	53.57822	38.82253
24.00	63.43	114.09484	155.90516	22.5°	0.00°	55.41054	20.01600	18.71131	55.72489	42.80615	55.72489	0.00000	63.43495	54.73561	39.23152	54.73561	39.23152
Pitch	Pitch Angle	Roof Surface Angle Corner A	Roof Surface Angle Corner B	A1 Miter Angle	A1 Saw Blade Bevel Angle	H1 Miter Angle	H1 Saw Blade Bevel Angle	H2 Miter Angle	H2 Saw Blade Bevel Angle	R2 Miter Angle	R2 Saw Blade Bevel Angle	R1 Miter Angle	R1 Saw Blade Bevel Angle	Hip Rake Wall Pitch Angle	Hip Rake Wall Hip Backing Angle	Hip Rake Wall Stud Miter Angle	Hip Rake Wall Stud Saw Blade Bevel Angle


Real Roof Surface Angle A1-H1 = 90° + arctan (cos(Rafter Pitch Angle) ÷ tan( Working Angle))
Real Roof Surface Angle A1-H1 = 90° + arctan (cos(33.69°) ÷ tan( 45.00°)) = 129.7622°

Roof Slope = 8:12 = 33.69°

Real Roof Surface Angle H2-R2 = 90° - arctan (tan(90° - Wall Angle) ÷ cos( Rafter Pitch Angle ))
Real Roof Surface Angle H2-R2 = 90° - arctan (tan(90° - 135) ÷ cos( 33.69 )) = 140.2378°
Real Roof Surface Angle H2-R2 = 90° - arctan (tan(-45°) ÷ cos( 33.69 )) = 140.2378°


Saw Blade Bevel Angle = arcsin ( sin (Roof Slope ) × cos (Direction Of Saw Travel ))
R1 Saw Blade Bevel Angle = arcsin ( sin (33.69° ) × cos (0.0° )) = 33.69°
R2 Saw Blade Bevel Angle = arcsin ( sin (33.69° ) × cos (22.5° )) = 30.82885°
H2 Saw Blade Bevel Angle = arcsin ( sin (33.69° ) × cos (22.5° )) = 30.82885°
H1 Saw Blade Bevel Angle = arcsin ( sin (33.69° ) × cos (67.5° )) = 12.25566°

A1 rotated into plane of roof surface
A1 Saw Blade Bevel Angle = arcsin ( sin (33.69° ) × cos (67.5° )) = 12.25566°

A1 not rotated into plane of roof surface
A1 Saw Blade Bevel Angle = arcsin ( sin (33.69° ) × cos (90.0° )) = 0.00°

Saw Miter Angle for Common Rafter Pitch Rake Wall
Saw Miter Angle = arctan ( tan (Direction Of Saw Travel ) ÷ cos (Roof Slope ))
R2 Saw Miter Angle = arctan ( tan (22.5° ) ÷ cos (33.69° )) = 26.46515°

A1 rotated into plane of roof surface
A1 Saw Miter Angle = arctan ( cos (33.69° ) ÷ tan (67.5° )) = 19.07769°


Saw Miter Angle for Hip Rafter Pitch Rake Wall
Saw Miter Angle = 180° - Real Roof Surface Angle - Saw Miter Angle for Common Rafter Pitch Rake Wall

H2 Saw Miter Angle = 180° - 140.2378° - 26.46515 = 13.29705°
H1 Saw Miter Angle = 180° - 129.7622° - 19.07769° = 31.16011°

Hip Rake Wall Studs
Hip Rafter Pitch Angle = arctan( tan( Pitch Angle ) * sin( Plan Angle ))
Hip Rafter Backing Angle = arctan( sin( Hip Rafter Pitch Angle) ÷ tan( Plan Angle ) ) 
Hip Rafter Plumb Backing Angle = arctan( tan( Pitch Angle ) * cos( Plan Angle ))

Hip Rake Wall Pitch Angle = arctan( tan( Rafter Pitch Angle ) * sin( Working Angle ))
Hip Rake Wall Pitch Angle = arctan( tan( 33.69 ) * sin( 45 )) = 25.24°
Rake Stud Saw Miter Angle = Hip Rafter Plumb Backing Angle = 25.24°
Rake Stud Saw Blade Bevel Angle = arctan(cos(Hip Rafter Plumb Backing Angle)* tan(Hip Rafter Pitch Angle))
Rake Stud Saw Blade Bevel Angle = atan(cos(25.24)* tan(25.24)) = 23.0934260800266°