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Hip & Valley
Hip Valley Roof
• This is to be used in conjunction with the following plan which can be found here
Is the Roof a True Hip & Valley Roof
Spans are equal
Is the Roof a True Hip & Valley Roof
Rise will be the same and ridges will meet in the centre
Is the Roof a True Hip & Valley Roof
If Spans are not equal ridges will not meet
Is the Roof a True Hip & Valley Roof
If Spans are not equal ridges will not meet
This part of the roof is still going up
Is the Roof a True Hip & Valley Roof
If Spans are not equal ridges will not meet
This part of the roof is still going up
This part of the roof is going down
Is the Roof a True Hip & Valley Roof
To Solve this we have to construct a Broken Hip which is the next roof
Determine The Spans
Determine The Spans
Every Ridge must have a Span
Determine The Spans
Span is tied to the Basis of the Common Rafter Calculation
Determine The Spans
Span is tied to the Basis of the Common Rafter Calculation
Same Rafters
Determine The Spans
Span is tied to the Basis of the Common Rafter Calculation
Same RaftersMust be same Span
Hip & Valley Roof
• STEP 1- As always
Determine the 1 metre triangles- Please review Gable & Hip roofs if you do not know how to do this
1.000 1.414
Rise per1m of Rafter Plan length
Rafter Length per
1m of Rafter Plan lengthHip Length per
1m of Rafter Plan length
Hip & Valley Roof
• STEP 1- As always
Determine the 1 metre triangles- Please review Gable & Hip roofs if you do not know how to do this
1.000 √2
0.6251.179 1.546
Pitch 32°
Hip & Valley Roof
• STEP 1- As always
Determine the 1 metre triangles- Please review Gable & Hip roofs if you do not know how to do this
1.000 1.414
0.625
1.179 1.649
32°
Rafter = Plan Length x Rafter per m
Determine Common Rafter
Rafter = Plan Length x Rafter per m = (5400 – 9.5) x 1.179 = 6356
5400
Rafter 90 x 35 @ 450 c to cRidge 140 x 19Valley 140 x 45
1.000 1.414
0.625
1.179 1.649
32°
Determine Valley Rafter
Valley is determined in the exact same manner as the Hip Rafter
Valley Rafter = ½ Span x Hip / m = 2700 x 1.649 = 4452
The hip is usually measured as per the Hip Rafter.
Calculation is only for estimating
5400
Rafter 90 x 35 @ 450 c to cRidge 140 x 19Valley 140 x 45
1.000 1.414
0.625
1.649
32°
1.179
Determine Valley Rafterfor Estimating
Valley is determined in the exact same manner as the Hip Rafter
Valley Rafter = (½ Span + O/H )x Hip / m = (2700 + 600) x 1.649 = 5542 + 140 (Plumb Cut) = 5682 = 5700
Note if Hip is required to be joined you should allow at least 300mm
5400
Rafter 90 x 35 @ 450 c to cRidge 140 x 19Valley 140 x 45Overhang 600
1.000 1.414
0.625
1.649
32°
1.179
Plumb Cut ValleyUsing Steel Square
5400
Rafter 90 x 35 @ 450 c to cRidge 140 x 19Valley 140 x 45Overhang 600
1.000 1.414
0.625
1.649
32°
1.179
471
209
÷3
Plumb Cut ValleyPitch Mathematically
5400
Rafter 90 x 35 @ 450 c to cRidge 140 x 19Valley 140 x 45Overhang 600
1.000 1.414
0.625
1.649
32°
1.179
Tan Pitch° = Rise ÷ Plan Length= 0.625 ÷ √2= 0.442
Inv Tan (0.442) = 23.8° or 23.8°(Note Inv is not mathematical inverseFunction but the Calculators Trig inverse
Valley True Length
Valley Plan Length = ½ Span – ½ Ridge Thickness= 2700 – 17.5= 2682.5
½ S
pan
– ½
Rid
ge T
hick
ness
½ Span = 2700
Ridge 140 x 35
Valley True Length
Valley Plan Length = ½ Span – ½ Ridge Thickness= 2700 – 17.5= 2682.5
True Length = Plan Length x Hip/m= 2682.5 x 1.649= 4423
½ S
pan
– ½
Rid
ge T
hick
ness
½ Span = 2700
Ridge 140 x 35
Valley CreepersPlan Length = ½ Span – (½ Valley x √2 + ½ Rafter) – ½ Ridge = 2700 – (22.5 x √2 + 17.5) -17.5 = 2618 ½ Span = 2700
Ridge 140 x 35
Rafter 90 x 35
Valley 140 x 45
Valley Creepers – 1st CreeperPlan Length = ½ Span – (½ Valley x √2 + ½ Rafter) – ½ Ridge = 2700 – (22.5 x √2 + 17.5) -17.5 = 2618True Length = Plan Length x Rafter /m = 2618 x 1.179 = 3087
½ Span = 2700
Ridge 140 x 35
Rafter 90 x 35
Valley 140 x 45
Valley Creepers – 1st CreeperPlan Length = ½ Span – (½ Valley x √2 + ½ Rafter) – ½ Ridge = 2700 – (22.5 x √2 + 17.5) -17.5 = 2618True Length = Plan Length x Rafter /m = 2618 x 1.179 = 3087
Creeper Shortening = Spacing x Rafter Length / m
= 450 x 1.179 = 531This will be the same as the Hip
½ Span = 2700
Ridge 140 x 35
Rafter 90 x 35@ 450 c to c
Valley 140 x 45
Valley Creepers – 1st CreeperPlan Length = ½ Span – (½ Valley x √2 + ½ Rafter) – ½ Ridge = 2700 – (22.5 x √2 + 17.5) -17.5 = 2618True Length = Plan Length x Rafter /m = 2618 x 1.179 = 3087
Creeper Shortening = Spacing x Rafter Length / m
= 531
½ Span = 2700
Ridge 140 x 35
Rafter 90 x 35@ 450 c to c
Valley 140 x 45
Valley Creepers – All CreepersPlan Length = ½ Span – (½ Valley x √2 + ½ Rafter) – ½ Ridge = 2700 – (22.5 x √2 + 17.5) -17.5 = 2618True Length = Plan Length x Rafter /m = 2618 x 1.179 = 3087
Creeper Shortening = Spacing x Rafter Length / m
= 531
Valley Creeper No.
True Length
1 30872 25563 20254 14945 9636 432
Valley Creepers Plumb Cut
As it is the same pitch as the Rafter it is the same
500
313Steel Square
Valley Creeper – Edge Bevel
½ Span
Rafter Centreline Length
Same as Hip Creeper
Ridge