Hip Rake Wall Plan B

Hip Rake Wall Calculations Plan B

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 B

Pitch	Pitch Angle	Roof Surface Angle Corner A	Roof Surface Angle Corner B	A1 Miter Angle	A1 Saw Blade Bevel Angle	A2 Miter Angle	A2 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	22.50000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000	0.00000
1.00	4.76	135.09913	135.09913	22.5°	0.00°	22.57018	4.40029	22.33069	4.40029	22.33069	4.40029	22.57018	4.40029	0.00000	4.76364	3.37229	3.36646	3.37229	3.36646
2.00	9.46	135.39245	135.39245	22.5°	0.00°	22.77886	8.73617	21.82869	8.73617	21.82869	8.73617	22.77886	8.73617	0.00000	9.46232	6.72137	6.67559	6.72137	6.67559
3.00	14.04	135.86825	135.86825	22.5°	0.00°	23.12062	12.94841	21.01113	12.94841	21.01113	12.94841	23.12062	12.94841	0.00000	14.03624	10.02499	9.87496	10.02499	9.87496
4.00	18.43	136.50848	136.50848	22.5°	0.00°	23.58702	16.98710	19.90450	16.98710	19.90450	16.98710	23.58702	16.98710	0.00000	18.43495	13.26268	12.92097	13.26268	12.92097
5.00	22.62	137.29061	137.29061	22.5°	0.00°	24.16727	20.81418	18.54212	20.81418	18.54212	20.81418	24.16727	20.81418	0.00000	22.61986	16.41644	15.78118	16.41644	15.78118
6.00	26.57	138.18969	138.18969	22.5°	0.00°	24.84908	24.40422	16.96123	24.40422	16.96123	24.40422	24.84908	24.40422	0.00000	26.56505	19.47122	18.43495	19.47122	18.43495
7.00	30.26	139.18024	139.18024	22.5°	0.00°	25.61942	27.74363	15.20034	27.74363	15.20034	27.74363	25.61942	27.74363	0.00000	30.25644	22.41512	20.87256	22.41512	20.87256
8.00	33.69	140.23784	140.23784	22.5°	0.00°	26.46517	30.82891	13.29699	30.82891	13.29699	30.82891	26.46517	30.82891	0.00000	33.69007	25.23940	23.09347	25.23940	23.09347
9.00	36.87	141.34019	141.34019	22.5°	0.00°	27.37363	33.66442	11.28618	33.66442	11.28618	33.66442	27.37363	33.66442	0.00000	36.86990	27.93835	25.10409	27.93835	25.10409
10.00	39.81	142.46776	142.46776	22.5°	0.00°	28.33289	36.26020	9.19935	36.26020	9.19935	36.26020	28.33289	36.26020	0.00000	39.80557	30.50896	26.91568	30.50896	26.91568
11.00	42.51	143.60406	143.60406	22.5°	0.00°	29.33203	38.62996	7.06391	38.62996	7.06391	38.62996	29.33203	38.62996	0.00000	42.51045	32.95055	28.54243	32.95055	28.54243
12.00	45.00	144.73561	144.73561	22.5°	0.00°	30.36119	40.78947	4.90320	40.78947	4.90320	40.78947	30.36119	40.78947	0.00000	45.00000	35.26439	30.00000	35.26439	30.00000
13.00	47.29	145.85174	145.85174	22.5°	0.00°	31.41167	42.75539	2.73660	42.75539	2.73660	42.75539	31.41167	42.75539	0.00000	47.29061	37.45328	31.30438	37.45328	31.30438
14.00	49.40	146.94427	146.94427	22.5°	0.00°	32.47580	44.54439	0.57993	44.54439	0.57993	44.54439	32.47580	44.54439	0.00000	49.39871	39.52120	32.47119	39.52120	32.47119
15.00	51.34	148.00718	148.00718	22.5°	0.00°	33.54697	46.17256	1.55416	46.17256	1.55416	46.17256	33.54697	46.17256	0.00000	51.34019	41.47293	33.51516	41.47293	33.51516
16.00	53.13	149.03624	149.03624	22.5°	0.00°	34.61949	47.65511	3.65573	47.65511	3.65573	47.65511	34.61949	47.65511	0.00000	53.13010	43.31386	34.44990	43.31386	34.44990
17.00	54.78	150.02867	150.02867	22.5°	0.00°	35.68851	49.00614	5.71718	49.00614	5.71718	49.00614	35.68851	49.00614	0.00000	54.78241	45.04965	35.28778	45.04965	35.28778
18.00	56.31	150.98286	150.98286	22.5°	0.00°	36.74995	50.23857	7.73281	50.23857	7.73281	50.23857	36.74995	50.23857	0.00000	56.30993	46.68614	36.03989	46.68614	36.03989
19.00	57.72	151.89810	151.89810	22.5°	0.00°	37.80041	51.36414	9.69851	51.36414	9.69851	51.36414	37.80041	51.36414	0.00000	57.72436	48.22917	36.71614	48.22917	36.71614
20.00	59.04	152.77437	152.77437	22.5°	0.00°	38.83707	52.39348	11.61144	52.39348	11.61144	52.39348	38.83707	52.39348	0.00000	59.03624	49.68446	37.32526	49.68446	37.32526
21.00	60.26	153.61220	153.61220	22.5°	0.00°	39.85763	53.33610	13.46983	53.33610	13.46983	53.33610	39.85763	53.33610	0.00000	60.25512	51.05756	37.87498	51.05756	37.87498
22.00	61.39	154.41247	154.41247	22.5°	0.00°	40.86025	54.20058	15.27272	54.20058	15.27272	54.20058	40.86025	54.20058	0.00000	61.38954	52.35379	38.37209	52.35379	38.37209
23.00	62.45	155.17634	155.17634	22.5°	0.00°	41.84346	54.99456	17.01981	54.99456	17.01981	54.99456	41.84346	54.99456	0.00000	62.44719	53.57822	38.82253	53.57822	38.82253
24.00	63.43	155.90516	155.90516	22.5°	0.00°	42.80615	55.72489	18.71131	55.72489	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	A2 Miter Angle	A2 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



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°
A2 Saw Blade Bevel Angle = arcsin ( sin (33.69° ) × cos (22.5° )) = 30.82885°
H1 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°



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

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

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°