How Do You Calculate A Roof Pitch
Roof pitch refers to the slope which the rafter creates. You can assess this in two ways, either as the roof pitch angles which the rafters make with the horizontal or the proportion between the run and the rise of the roof. Often, you express roof pitch as the ratio between the rise and the run in the form of x:12.
You can divide roofs into these categories:
- Flat roofs which arent perfectly flat require a small slope to allow for water runoff. Generally, such roofs have a pitch ranging from 1/2:12 to 2:12.
- Low-pitched roofs are generally difficult to maintain and you need special materials to prevent leaks. These roofs have a pitch less than 4:12.
- Conventional roofs are the easiest to construct and you can walk on them safely. They have a pitch ranging from 4:12 to 9:12. High-pitched roofs often need extra fasteners and their pitch can be as high as 21:12.
You can also calculate roof pitch even without using a roof slope calculator. Use the following formula which also describes a right triangle. Here are the equations you may use to solve for the length of the slope and the rafter:
rafter² = rise² + run² rise / run = pitch, pitch = tan ,
How To Determine Your Roof Pitch From The Roof
If you want to measure your roof’s surface, you can think back to algebra class when you learned how to measure a slope as rise over run, the slope is now your roof.
A gable roof style is one of the easiest roofs to measure since it is generally a low pitch that is even throughout the entire house. If you are not a contractor and do not need exact measurements down to the millimeter and degree angle, there is a simple way to measure your roof if you have access to it.
- A ladder and the ability to safely sit on your roof
How Roof Pitch Determines Suitable Roofing Systems
Flat and nearly flat roofs cannot be covered with shingles or shakes of any material since there is not enough angle to combat the danger of blow-off. For that reason, flat roofs are limited to these types of covering materials:
Tar and Gravel. Alternating levels of hot asphalt and heavy roofing felt finished with a gravel coating can be applied to a flat roof for protection. Typically, between three and five layers are built up. The cost for this utilitarian roof covering lies mostly in the labor and will vary greatly depending on the location of the building.
For a 2,000 square foot roof expect to pay around $3,500 for materials and supplies and upwards of $9,500 for professional labor. Built-up roofs are not a DIY project and will require professional installation but the waterproofing for flat roofs cannot be beat. A built-up roof can be expected to last 20 years.
Modified Bitumen. Historically, the word bitumen has been used interchangeably with asphalt and tar. It is a naturally occurring goo that develops from millions of years of decomposing organic material and has been used since prehistoric times as a sealant.
In modern roofing, bitumen is infused into plies of polyester or fiberglass to create a weatherproofing roof material. The installation technique is similar to building up with tar and gravel, but the plies are less expensive by half about $2,000 for materials and supplies. Labor is a bit faster and expect a tab of about $8,500.
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Estimating Roof Pitch & Determining Suitable Roof Types Diy Guide
So, its time for a new roof, or perhaps you are planning a new home construction project and are considering what your new roof should look like. Surely, you have heard about all the exciting new roofing materials available today and are eager to get started.
However, before you can make the call on what to put on the roof, you need to know the pitch or slope of the roof!
How To Calculate Your Roof Pitch Angle
So now, lets talk about how to calculate your roof pitch:
Access a rafter. The most dependable technique to determine slope is to start at the bottom of the roof and measure up.
This is actually the most accurate method because roofing materials arent designed for uneven surfaces. A rafter in the attic should give you a good measurement. The overhang of one at the end, or gable edge will also do nicely for that too!
Place a level against the underside of your rafter and adjust it until you can see two lines in close proximity. This will indicate that there is an even keel across all four corners, which means everything should be square!
If there are two different terrains, it may be helpful to mark them with chalk lines.
You cant measure a level if it doesnt have inch markings, so find the 12-inch mark and make your marking with a chalk or crayon! This is an important step in making sure everything looks perfect.
Level to rafter measurement. Extend your tape measure perpendicular from the level and make sure that it stays in place while measuring between 12 marks on each side of a given beam or joist, up towards the peak.
This will be the measurement of your pitchs rise, which is also how you can measure for metal roofs or shingling!
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The Importance Of Roof Pitch Angles
You may be wondering why its so important to calculate your roof pitch angles. Well, a lot of it has to do with the quality of your home and its resale value.
Its also possible that you could save money on utility bills if you have a more efficient roof, which is all influenced by pitch angles!
It is much harder to install a new roof on a home that has a low pitch, but with the proper equipment and time you may be able to accomplish it.
In addition, if your roof is too steep for you, then theres no way that youll be able to do it without professional help!
Jumping into installing a new roof without calculating the roof pitch angle first can end up causing more headache and money.
If youre worried about making mistakes and doing it wrong, then hire a roofing contractor to do the work for you.
Hopefully, weve helped you learn some basics about your roof pitch angles and how to calculate what kind of slope or rise that you have!
This will be an important step in applying any roofing or shingles that you house.
Having a good understanding of what your roof pitch is will help you maintain your home and make it more efficient.
It can also help to add value to the property if you ever consider selling if you are in the buy and well business.
How To Calculate Roof Pitch As A Ratio
The traditional method of measuring roof pitch is to display it as a ratio of X:12. This is done by measuring the number of inches a roof rises vertically for every 12 inches it extends horizontally. This is simple to do, and youll need the same tools and access to your roof space as above.
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Using The Pythagorean Theorem
Alternatively, you can use the Pythagorean theorem to determine rafter length.
This approach involves more steps as you first need to calculate the roof rise the distance from the center of the span to the top of the ridge.
To determine roof rise, make a proportion between the roof slope and the rafter run and solve for the missing variable.
You can then plug the numbers into the Pythagorean theorem formula to solve for the hypotenuse, i.e., the length of the rafter.
Using A Level And Measuring Tape
For this method, youll need a ladder that can reach the roofs edge, measuring tape, and a 2-foot level. Remember to be safe when climbing the ladder and make sure you have adequate fall protection. A ladder stabilizer is also recommended to help prevent it from sliding side to side.
Once youre at the top of the ladder, hold your level so one end touches the surface of the roof and the other is in the air. Keep it level. Then, measure the distance between the roofs surface straight down from the levels opposite edge.
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How To Calculate Your Roof Pitch On The Roof
If you’d like to calculate your pitched roof manually for an exact measurement and aren’t afraid of heights, whip out the tape measure and spirit level, and carefully climb the ladder to access your roof. Whether you have an asphalt shingle roof, rubber membrane, or metal roof, always make sure it’s safe to stand on your roof first.
Once you’re safely on your roof, measure 1-foot up from the base, which will give you the run. Then place the spirit level at the 1-foot marker, and once it is even, measure from the bottom of the level to the top of your roof. This will give you the rise.
For example, if your rise is 6 inches, then your roof pitch will be 6/12. For every 12 inches of horizontal run, the roof rises 6 inches.
How To Calculate The Roof Slope Expressed As Rise & Run From Slope Measured In Degrees: Fun With Tangents
Here we step through four methods for calculating vertical rise, horizontal run distance, or the slope of a roof or stairway or any other sloping construction measured in degrees or expressed more commonly as rise/run.
For example a 4/12 roof means that the roof height rises 4 inches for every 12 inches of horizontal distance or “run” from the roof edge or eaves towards the roof peak or ridge.
For a roof the total rise is the vertical distance under the ridge to the attic floor. This height tells us how wide we can build an attic room and still have decent head-room.
For a stairway the total rise is the vertical distance between the lower and upper walking surfaces joined by the stairs and the stairway run is the horizontal distance occupied by the stairway.
We will explain how to use the Tangent function to tell us the roof or stairway slope or angle, its vertical rise and horizontal run.
We show how to determine the height of a roof if we know its slope or angle.
We also translate less-widely-used slope figures like percent grade to an angle or slope of a roof, stair, or a roadway.
Article Series Contents
Simple tricks with tangents get the roof, stair, road, or walk built to a specified slope
We can quickly convert any slope measured in degrees using the basics of plane geometry.
Don’t panic. It’s not really that bad if we just accept that basic plane geometry defines the relationships between a right triangle and the lengths of its sides.
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Roof Pitch To Angle In Degrees
Roof pitch formula help you to convert roof of pitch ratio or fraction of slope in angle in degrees in following two steps:- 1) divide the first part of the ratio by 12 to figure out the pitch and 2) find the inverse tangent of pitch to find the angle in degrees.
For 2/12 roof pitch into angle in degrees:- 1) pitch = rise/run such as 2/12 = 0.1666, 2) tan inverse of pitch = tan-1 = 9.46Â°, thus a roof pitch of fraction 2/12, or 2 in 12 slope, or in ratio 2:12 is equivalent to 9.46 degrees.
For 4/12 roof pitch into degrees:- 1) pitch = rise/run such as 4/12 = 0.33, 2) tan inverse of pitch = tan-1 = 18.43Â°, thus a roof pitch of fraction 4/12, or 4 in 12 slope, or in ratio 4:12 is equivalent to 18.43 degrees.
For 7/12 roof pitch into degrees:- 1) pitch = rise/run such as 7/12 = 0.583, 2) tan inverse of pitch = tan-1 = 30.26Â°, thus a roof pitch of fraction 7/12, or 7 in 12 slope, or in ratio 7:12 is equivalent to 30.26 degrees.
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What Is The Average Quote For Getting A Roof Pitched
There are a lot of factors that will affect how much getting your roof pitched will cost design, style, accessibility, cost of labor etc. In the USA, you can expect to pay between $3.19-$4.43 per sq.ft. for asphalt shingles. If you choose another material, such as metal or wood, the range is $7.35-$10.73 per sq.ft.
In the UK, the price of getting a roof fitting is £72-£75 per square meter. These are only estimates though, talk to your neighbors to see what roofing costs in your area.
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How To Calculate The Height Of A Pitched Roof
If you have given the roofs angle in degrees and span, to determine the finished height of the ridge beam by by converting the angle in degrees to a slope, then determining the vertical roof height by multiplying the slope by horizontal run or by using this formula, roof height = .
first calculate slope by converting the angle in degrees to a slope, assume roofs angle in degrees is 30°, then slope = tan 30° = 0.577
then secondly, multiplying the slope by horizontal run , this will give you roof vertical height, such as assume horizontal span = 30 ft, then run = 30/2 = 15 feet, so height of pitched roof = 0.577×15 = 8.65 feet, thus 8.65 feet will be height of pitched roof.
if horizontal run and rafter length is given, then reculculate the roof height by using a right angle triangle formula Pythagorus theorem as roof height =
assume length of rafter for roof pitch is 5 meters and horizontal run is 4 meters, then roofs vertical height = ^2 _ ^2 = 3 meters, thus 3 meters is height of pitched roof.
Why Is Calculating Roof Pitch Important
Calculating roof pitch is important because if youre contemplating a room addition or putting in skylights or cutting new rake boards , you need to know the pitch of the roof. Its also important to the roofs durability over time and how water and debris are eliminated from a roof.
The pitch of a roof also affects the costs of installing or replacing a roof. A steeper roof is going to cost more to install, so you want to keep that in mind when youre calculating the right pitch for your project. When you think of a low-slope roof, it might cost more to install than a flat roof. A steep-slope roof can cost considerably more to install.
With other home projects that involve dealing with a roof, you need to know your roofs pitch just to figure out the materials and tools youll need to do the job, plus a contractor has to consider the walkability in connection with the materials to use. Whether youre replacing your roof or installing a completely new roofing system with windows, youll need to know the pitch of your roof.
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Three: Measure The Total Rise And Run
If you know the total height of the peak and the roofs width, you can also find the pitch with a little math. For example, if the peak is 4 feet and the total roof width is 20 feet, then the total rise is 4 feet, or 48 inches.
The total run is the distance from the peak to the edge of the roof, which in this case is the total width divided in half, which is equal to 10 feet or 120 inches.
Since the pitch is the rise over a 12-inch run, you can divide the run by 12 to get the multiplier, in this case, 120 ÷ 12 = 10.
Then, divide the rise by the multiplier to get the pitch, e.g. 48 ÷ 10 = 4.8. The pitch of this roof is 4.8:12. The calculator above can handle much of this math.
How To Use Pitch Calculator
To estimate roof area, enter width and length , and either Rise or Pitch second value will auto-calculate. Click calculate. The results will pop up below the calculate button, and will include: Rafter Length, Total Size / Area, and Pitch.
Using the diagram below, measure your roof from the ground, and enter building dimensions into the calculator #2 above. Enter the span , and the rise above the base line.
To calculate your pitch and size, measure your roof and plug in your measurements in accordance with the diagram below. Enter EITHER Roof Rise or Roof Pitch.
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Is A 5 Degree Roof Pitch Ok
Corrugated roofing is a great material on traditional pitched roofs but it has severe limitations when the pitch gets below 5 degrees. That is why all roofing manufacturers recommend the 5 degree pitch as the minimum slope and they will not provide any guarantees if it is installed flatter than this.