Hip Rake Wall Plan A

Hip Rake Wall Calculations Plan A

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 A

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	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	45.00000	0.00°	0.00°	45.00000	0.00000	45.00000	0.00000	0.00000	0.00000	0.00000	0.00000
1.00	4.76	134.90087	44.90087	0.00°	0.00°	45.09913	0.00000	44.90087	4.76364	3.37229	3.36646	3.37229	3.36646
2.00	9.46	134.60755	44.60755	0.00°	0.00°	45.39245	0.00000	44.60755	9.46232	6.72137	6.67559	6.72137	6.67559
3.00	14.04	134.13175	44.13175	0.00°	0.00°	45.86825	0.00000	44.13175	14.03624	10.02499	9.87496	10.02499	9.87496
4.00	18.43	133.49152	43.49152	0.00°	0.00°	46.50848	0.00000	43.49152	18.43495	13.26268	12.92097	13.26268	12.92097
5.00	22.62	132.70939	42.70939	0.00°	0.00°	47.29061	0.00000	42.70939	22.61986	16.41644	15.78118	16.41644	15.78118
6.00	26.57	131.81031	41.81031	0.00°	0.00°	48.18969	0.00000	41.81031	26.56505	19.47122	18.43495	19.47122	18.43495
7.00	30.26	130.81976	40.81976	0.00°	0.00°	49.18024	0.00000	40.81976	30.25644	22.41512	20.87256	22.41512	20.87256
8.00	33.69	129.76216	39.76216	0.00°	0.00°	50.23784	0.00000	39.76216	33.69007	25.23940	23.09347	25.23940	23.09347
9.00	36.87	128.65981	38.65981	0.00°	0.00°	51.34019	0.00000	38.65981	36.86990	27.93835	25.10409	27.93835	25.10409
10.00	39.81	127.53224	37.53224	0.00°	0.00°	52.46776	0.00000	37.53224	39.80557	30.50896	26.91568	30.50896	26.91568
11.00	42.51	126.39594	36.39594	0.00°	0.00°	53.60406	0.00000	36.39594	42.51045	32.95055	28.54243	32.95055	28.54243
12.00	45.00	125.26439	35.26439	0.00°	0.00°	54.73561	0.00000	35.26439	45.00000	35.26439	30.00000	35.26439	30.00000
13.00	47.29	124.14826	34.14826	0.00°	0.00°	55.85174	0.00000	34.14826	47.29061	37.45328	31.30438	37.45328	31.30438
14.00	49.40	123.05573	33.05573	0.00°	0.00°	56.94427	0.00000	33.05573	49.39871	39.52120	32.47119	39.52120	32.47119
15.00	51.34	121.99282	31.99282	0.00°	0.00°	58.00718	0.00000	31.99282	51.34019	41.47293	33.51516	41.47293	33.51516
16.00	53.13	120.96376	30.96376	0.00°	0.00°	59.03624	0.00000	30.96376	53.13010	43.31386	34.44990	43.31386	34.44990
17.00	54.78	119.97133	29.97133	0.00°	0.00°	60.02867	0.00000	29.97133	54.78241	45.04965	35.28778	45.04965	35.28778
18.00	56.31	119.01714	29.01714	0.00°	0.00°	60.98286	0.00000	29.01714	56.30993	46.68614	36.03989	46.68614	36.03989
19.00	57.72	118.10190	28.10190	0.00°	0.00°	61.89810	0.00000	28.10190	57.72436	48.22917	36.71614	48.22917	36.71614
20.00	59.04	117.22563	27.22563	0.00°	0.00°	62.77437	0.00000	27.22563	59.03624	49.68446	37.32526	49.68446	37.32526
21.00	60.26	116.38780	26.38780	0.00°	0.00°	63.61220	0.00000	26.38780	60.25512	51.05756	37.87498	51.05756	37.87498
22.00	61.39	115.58753	25.58753	0.00°	0.00°	64.41247	0.00000	25.58753	61.38954	52.35379	38.37209	52.35379	38.37209
23.00	62.45	114.82366	24.82366	0.00°	0.00°	65.17634	0.00000	24.82366	62.44719	53.57822	38.82253	53.57822	38.82253
24.00	63.43	114.09484	24.09484	0.00°	0.00°	65.90516	0.00000	24.09484	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	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 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°

Real Roof Surface Angle H2 =  arctan (cos( Rafter Pitch Angle )  ÷ tan( Working Angle))
Real Roof Surface Angle H2 =  arctan (cos(33.69°) ÷ tan( 45.00°)) = 39.76°


Saw Blade Bevel Angle = arcsin ( sin (Roof Slope ) × cos (Direction Of Saw Travel ))
H1 Saw Blade Bevel Angle = arcsin ( sin (33.69° ) × cos (90.00° )) = 0.00°
H2 Saw Blade Bevel Angle = arcsin ( sin (33.69° ) × cos (0.00° )) = 33.69°



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° - 129.7622 = 50.24°
H2 Saw Miter Angle = Real Roof Surface Angle H2 = 39.76°

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°