Explanations Of The Results Of Hipped Roof Calculations
After you enter the numbers, hit “Calculate” and get the following:
- The sizes of all the rafters of a hip roof separately
- The calculation of counter-battens and roof battens
- Calculation of inferior purlins or wall plates in a detailed final drawing.
- Calculation of the hipped roof area .
The total volume of lumber for the rafters, battens
Drawings of all types of rafters separately
The hip roof layout diagram
Drawings of the complete hipped framing system from different angles
Interactive 3D model of a hip roof for clarity.
The lengths of hip, jack and common rafters are given in the calculation results and drawings with overhangs .
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Calculate hip roof online – save time and money for necessary materials purchasing, get a detailed list of all hip roof elements dimensions for your future roof construction.
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Below, there is a simple triangle, and the math used to work out how to make a proper measurement. Once you work through the basic triangle, we will review a typical roof, and how to apply some simple math to calculate how much material you will need for a roof used in our hypothetical example.
1 roof square = 100 square feet The length times the height of a triangle is twice its area . So if you divide your answer of a product of length times height by two, you will get the area of a triangle. /2 = Area
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In Figure above: l=30 feet h=12 feet /2 = 180 square feet
Now that the basic concept has been covered, lets take a look at a more complex roofing system. In this overhead view you see both a hip-end section, and gable ends. With a more complex roof such is this one, it is highly recommended that you make a basic sketch. By doing so, it will be easier to mark your measurements, and calculate the necessary materials for the project. For this example we will break this roof up into sections labeled A through E.
In the figure B. above, a sketched portion is a basic triangle. As we did in the first example, measure the length of the eaves, and the vertical line from the eaves half way point to the peak. Multiply these numbers, and then divide the answer by two./2 = 270 square feet
S1 = /2 = 135 square feetS2 = 50 × 15 = 750 square feetS3 = /2 = 135 square feet
How Many Sheets Of Plywood Do I Need For A Hip Roof
To calculate the number of sheets of plywood, you will need to cover a hip roof you first need to determine the total area of the roof. This can be done by measuring the length and width of the roof and then multiplying those numbers together.
Once you have the total roof area, divide that number by 32 to get the number of sheets you need. A typical 4-foot by 8-foot sheet of plywood covers 32 square feet.
So, if your roof area is 1,600 square feet, 1,600 divided by 32 will mean you need about 50 sheets of plywood.
For a more accurate estimate of the number of sheets you need, you can use the online roof calculator at www.sheathingcalculator.com/hiproofs.aspx to calculate your roof area and the number of sheets you need.
A hip roof is a type of roof where all sides slope downwards towards the walls, and the roof ends come together at the top of a ridge.
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Plan For Extra Valley Material
Valleys are either woven or cut both methods require about the same number of shingles. On a woven valley, each course of shingles is extended beyond the valley crease and at least 12 in. onto the adjacent roof plane. Youll use 2 ft. of extra shingle material for each pair of woven courses. In the case of cut valleys, the shingles from the first roof plane thats shingled also extend onto the adjacent roof plane at least 12 in. just like woven valleys. Shingles from the next roof plane are cut just up from the valley line, and the cutoff pieces usually arent big enough to use elsewhere on the roof. Order two extra shingles per linear foot of valley to account for the overlaps and cutoffs. On a 16-ft. valley, you would need 32 shingles or roughly one extra bundle.
Calculate The Exact Roof Area

Follow these steps to figure out the exact area of your roof:
- Take your pitch number and divide it by 12. For example, if your pitch is 4 in 12, you need to divide 4 by 12. The answer will be 1/3.
- Next, you need to square your outcome. In our example, 1/3 squared will yield 1/9.
- Thereafter, add 1 to your result: 1/9+1=10/9
- Calculate the square root of your new number: The square root of 10/9 is 1.05.
- Measure the length of your house including the overhangs.
- Measure the width of your house including the overhangs.
- Multiply the length of your house by its width to get the area. For example, 40 feet x 20 feet = 1,200 square feet.
- Thereafter, multiply the area by the pitch to get the true roof area: 1,200 x 1.05 = 1,260 square feet.
In order to allow for ridges, hips, and waste, it is advisable to add 10% of your final roof area for a gable roof or 17% in the case of a cottage roof.
As a result, you should be working with 1,386 sq. feet or 1,474 sq. feet for a gable roof or a cottage roof respectively. Get to know more about us!
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Calculate The Surface Area Of The Roof
Youll notice as an area is drawn the area and perimeter results are displayed in the bottom right corner. With a single pitch roof youll have only one area result that relates to the entire footprint or perimeter of the roof. Both metric and imperial measurement systems are displayed in a popup menu over the results area.
Take your area result and multiply it by the pitch multiplier found in the table above to arrive at the roofs surface area. Now youre ready to price out the materials.
For multi-pitched roofs simply add the areas of all common pitches together by toggling layer visibility from the summed layer at the left of the layers control.
Use the appropriate pitch multiplier for each totaled area calculated, then sum all the areas together.
Estimating Materials Based On Actual Measurements
Measuring each roof plane requires you to actually go onto your roof. If your roof has a number of planes and numerous hips, ridges and valleys, this is the most accurate way to calculate the materials needed. Take a metal tape measure and a pen and paper. Measure each planes length and width. Record your measurements. Once you are safely on the ground, use your measurements to determine the square footage.
For rectangular areas, multiply the length by the width. For example, if a plane measures 30 feet by 100 feet, this would be 3,000 square feet. For triangular areas, you may need to dust off your geometry book. If the area forms a right triangle, you can make use of the Pythagorean theorem. Otherwise, you might want to look up how to calculate the semiperimeter and then use Herons formula to find the area. Be sure to add extra for valleys, hips and ridges.
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Parameters That Should Be Calculated When Arranging A Hipped Roof
If we talk about the necessary calculations before carrying out installation work, first of all, we should mention how to calculate the roof area of ââ\u200b\u200ba hipped roof. The correct option here is to calculate for each of the roof slopes separately, with the subsequent addition of the results. In this case, standard mathematical formulas are used to calculate the area of ââcertain geometric shapes.
So, for example, if the slope has a triangular shape, then a perpendicular line to the base, called the height, is drawn from its top by means of a rope or cord. Further, this very height of the triangular slope is multiplied by the length of the base, and the resulting amount is divided in half. The result will be the area of ââa triangular roof slope.
For trapezoidal slopes, the formula is somewhat different: first, the length of the upper and lower bases of the trapezoid is added, then their sum is divided in half and multiplied by the height of the slope.
Another important point in calculating a hipped roof is to determine the required distance between the rafters. The size of the gaps depends mainly on the material of the roofing. So, for example, for metal tiles and corrugated board, it is 60-90 centimeters, and for bituminous tiles – 100-120 centimeters, since in the latter case the roof is laid on a continuous crate of plywood.
What Does It Mean To Correctly Calculate The Roof
There are several basic methods that allow you to calculate the hip roof of a house with a relatively small error. All of them are widely used in everyday design and have been repeatedly tested in practice. For a private non-professional developer, you can use three methods that allow you to calculate the parameters of the roof, having knowledge within the school mathematics course:
- The tabular calculation method, the most beloved and widely used in the design of hip and any other standard roofing schemes. It allows you to calculate the main parameters of the roof structure using tabular data summarized in reference books and manuals
- Calculate the parameters based on trigonometric formulas and the simplest hip roof model. By graphical construction and drawing of the future hip structure on an enlarged scale, you can get all the necessary information about the parameters of the roof by a simple measurement
- Using ready-made programs and online calculators. It is practically impossible to do such a volume of work manually, to calculate the strength and geometry of the roof without basic education and preparation in any other way.
There are a great many specialized programs, and it is often much more difficult to choose the right software package today than to calculate the hip roof geometry with its help.
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Figure Out Your Homes Footprint
If you use the square footage of your home, youll only get a vague idea of what the square footage of your roof is. Thats why you have to figure out your homes footprint.
A person of average height will have a stride somewhere between 2 to 2.5 feet. To figure out your homes footprint, you can step off the dimensions of your roof by counting the steps you take to get the length of your home. You will then step off the width of your home.
After stepping off the length and width of your home, youll multiply the two numbers to get your homes footprint.
Length x width = your home’s footprint
Your calculations are going to be off, but measuring this way can give you a basic idea of your homes footprint. Keep in mind, square footage of a house does not equal the square footage of a roof.
How Do I Measure A Steep Roof
Most roofers wont go on a roof with an 8/12 roof pitch or greater with special equipment such as scaffolding and roof jacks and neither should you. Instead, use one of the four methods described above that allow you to measure the roof while standing safely on the ground or from the comfort of your computer.
While these methods may not be quite as accurate as taking actual measurements from the rooftop, theyre close enough for calculating how many shingles youll need to purchase for a new roof.
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How To Measure Your Roof Area From The Ground
A more accurate way to calculate the area of the roof than using Google Earth is to get outside to estimate the roof pitch and the base area of the property. Using these two figures, we can get a good idea of the shingle roofs square footage and estimate your asphalt shingles needs and costs. This DIY technique can be helpful, especially if you are not comfortable getting on your roof, or if you have limited access to it.
Ground measures only work well for a gabled roof, since there are usually just two main rectangular pitches to calculate area for. For more complex roof shapes, like hip roofs, youll need to work with a roofer or measure from on top of the roof itself to calculate its total area.
Measuring Or Calculating Gable And Hip Lengths

The slope factor is also used to determine gable lengths when the run length is known. For example, in Figure 4 the bottom left gable measures 16 across from eave to eave and therefore has a run of 8. When this is multiplied by 1.202 the gable distance is 98 . Note that this run can also be multiplied by the hip/valley factor of 1.563 to get a valley length of 126.
Record all your calculations on your drawing as seen in Figure 5 below.
Figure 5. Completed Roof Plan Drawing
Pro Tip: A Note About Waste Factor
Once you have figured out your roof area, you will need to also calculate how much room you need to allow for waste. For metal roofing products on a medium complex roof a waste factor of 15% is advisable. In other words for the 2468 ft2 roof in our example you should multiply by 1.15 giving you 2838.2 ft2 roofing material needed.
Important Note: Most metal roofing products are packaged and sold by the square so for our example roof the number of squares or boxes to purchase is 29.
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Calculate Roof Rise And Area
Hip roof is a roof with a sharp edge or edges from the ridge to the eaves where the two sides meet. Here is the online hip roof area calculator which helps you calculate the hip roof parameters such as roof rise, common and hip rafters length and roof area based on width, height of roof base and the roof pitch . Calculating the dimensions of the hip roof rise and area would be very easy and time saving using this calculator.
Formula:
Where,
Sometimes You Need To Do A Quick Calculation To See If The Numbers Stack Up We Get It
Our table of roof slope factors will help you do the maths when it comes to roof areas, sheet length and hip length. Remember, these methods are for quick estimating purposes only. Accurate measurements must be taken from the actual roof frame before ordering roofing and rainwater products.
As an example, take a typical hipped roof where all four roof sections have the same slope and all hips are of equal length.
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Roof Square Footage Calculator
While it is good to know how to do the calculations yourself, there is a much easier way: a calculator! You can just put in the length, width, and pitch of the roof. Once you plug them in, it will calculate the squares and amount of supplies that you will need to redo the roof. You can even use it to calculate only a portion of the roof to determine the number of materials needed for a smaller project.
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How Many Squares Of Shingles Do I Need For A Hip Roof
A hip roof is a type of roof where the sides slope downwards towards the walls, and the roof ends come to a point at the top. To calculate the amount of shingles you will need for a hip roof, you need first to determine the square footage of the roof.
To do this, you will need to multiply the roofs footprint by either 1.4 or 1.6, depending on the roofs slope. If the roof has a low slope, you will multiply by 1.4 if the roof is steep and complex, you will multiply by 1.6.
The average square footage of a roof is 1,500 square feet. So, if your roof area is 1,500 square feet, 1,500 multiplied by 1.6 will mean you need about 2,250 shingles to cover the roof.
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How To Figure Out The Square Footage Of A Roof
Repairing or replacing your roof can be expensive, especially if you dont know how to calculate its square footage. A wrong estimate can cost you thousands of dollars and might even delay your roof repair, leaving your home exposed to the elements. The good news is you can easily estimate the square footage of your roof with a few tools and basic geometry.
Measure A Roof: Gable Roof
When it comes to discovering how to measure a roof, there is only one way to get started on your Gable Roof.
Measure the width of the roof once youve taken the eave measurements. Gable roofs may be measured in width by hooking your measuring tape on one eave and running it across to the other eave. A hip roofs breadth may be calculated using the same way.
Youll need to measure the length of the roof once youve measured its breadth. Hooking up your measuring tape to either the eave or the ridge rafter will allow you to get an accurate measurement. However, youll have to repeat the process for the opposite ridge rafter to get a precise reading.
While determining how to measure a roofs length, you must look at the ridge. The ridge and the length of a gable roof are the same. If you measure the ridge of a gable roof, you may calculate the total length of the roof.
After youve measured the length of the roof, youll need to measure the valleys and hips, too. Take these measurements to determine how much ridge cap and valley metal youll need.
Some roof measures require more precision than others. For instance, it wouldnt make much of a difference if your ridge, hip, or valley measurements were slightly incorrect.
A roofs width or length might cost you extra money in materials if you dont have correct measurements of its width or length. Alternatively, if you overestimate and consequently bid an overbid price, the work may not be done.
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