Pitch of roof calculator | how to figure out pitch on a roof | pitch roof calculator | roof pitch calculator degrees | degrees to roof pitch calculator.
Everybody need a new house with a classical appearance, roof is the one of the most important part of any building structure that prevents the the other structure of building and inhabitant from adverse climatic weather condition and also ensure the privacy for the inhabitants. In earlier time from the beginning of civilization peoples are always looking for or house which built by timber covered with roof to prevent from heavy rainfall and snowfall conditions.
Design and construction of roof is depending on many factors but one of the most common important factor is climatic and weather condition of your surrounding areas, in your cities and countries. The area which has heavy rainfall and snowfall require good drainage for roof, roof drainage depending on slope of the roof provided, based on slope of roof it is categorised into two types flat roof and pitched roof or sloping roof. These are two types of roof structure based on slop.
Flat roof is type of roof in which slope is generally less than 10°, which only enable to ensure adequate drainage of rainwater in low to moderate rainfall regions. Pitched roof is type of roof comprising sloping surface or surface with an angle of usually over 20°, generally it slopes downward in one two or more parts depending on design and construction.
One may ask, how to figure out pitch on a roof?, to determine the length of rafter and pitch for roof you need Pitch of roof calculator, by means you can easily calculate degrees to roof pitch and roof pitch to degrees, or you can also used roof pitch calculator degrees and degrees to roof pitch calculator to solve this.
If pitch of roof is measured in fraction fall under the range of 4/12 to 9/12 or “4 in 12” to “9 in 12” slope, measured in ratio in the range of 4:12 to 9:12, measured in percentage in the range of 25% to 75% and measured in degree in the range of 18° to 37°.
Pitch for roof or slope means you how many inches the roof vertical rises for every 12 inches or 1 foot in horizontal distance run. An Example of a pitch for roof would be a 5/12 or “5 in 12″ slope means that the roof vertical rises 5 inch for every 1 foot or 12 inches of horizontal distance run. There are two types of suggested ways to measure a roof pitch either in percentage or in degrees. Let us know about some definition of rafter, rise and run which help in better understanding while calculating the pitch of roof.
Rise is define as vertical change in height per unit of horizontal length or run. For example a pitch of 4/12 represents 4″ vertical height or rise for every 1 foot or 12 inches of horizontal distance or run. General value of rise for pitch roof is range between 4″ to 9” for every 12 inches of run. These are good and standard height of rise generally used for conventional structure such as garage, residential building, shed, godowns etc.
Run is defined as the distance from the outside of wall top plate to a point directly below the centre of the Ridge or hip. It is a horizontal distance for pitch and Rafter is a structural component used as part of roof construction that it runs from the ridge of roof or hip of roof to the wall plate of external wall.
How to figure out pitch on a roof
Regarding this “how to calculate roof pitch/ or how to figure out pitch on a roof?”, generally roof pitch is calculated from the Pythagoras theorem of right angle formula in which hypotenuse of right angle triangle is length of rafter, their height is rise and base is run and you can use following formula and equation to calculate the length of rafter and figure out pitch on a roof or slop.
● Rafter^2 = rise^2 + run^2 (by Pythagoras theorem of right angle formula)
● Pitch = rise/run (where pitch in express in percentage
● Pitch = tan (angle), where angle is pitch of roof expressed in degree.
Pitch of roof calculator/ or pitch roof calculator
● take the measurement of horizontal run length:- it is horizontal distance out side of walls top plate to a point directly below the centre of the Ridge or hip of roof, assuming it is 10 meters
● measure the vertical height of rise of your roof, assuming it is 2.5 meters.
● Calculate the rafter length, as Rafter^2 = rise^2 + run^2, Rafter^2 = 2.5^2 + 10^2, Rafter^2 = 6.25+100, rafter = √106.25, Rafter = 10.31 meters, hence rafter for pitched roof will be 10.31 meters.
● Calculate the roof pitch as the proportion of rise and run as pitch = rise/ run, pitch = 2.5/10 = 1/4, which is equal as 25%, hence pitch for roof will be 25%.
● Recalculate the value of pitch in angle, as pitch = tan (angle), so angle = arctan (pitch) = arctan (0.25) = 14°, hence pitch for roof will be 14 degrees.
● find the roof pitch is in the form of X:12, as pitch = X/12, so X = pitch × 12 = 0.25 ×12 = 3, hence pitch of your roof will be 3:12, and it can be also express in fraction as 3/12, or “3 in 12”, or in percentage as 25%.
Roof pitch calculator degrees
Roof pitch calculator degrees help you to convert pitch ratio or fraction of slope 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 degrees:– 1) pitch = rise/run such as 2/12 = 0.1666, 2) tan inverse of pitch = tan-1(0.1666) = 9.46°, 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 3/12 roof pitch into degrees:- 1) pitch = rise/run such as 3/12 = 0.25, 2) tan inverse of pitch = tan-1(0.25) = 14.04°, thus a roof pitch of fraction 3/12, or “3 in 12” slope, or in ratio 3:12 is equivalent to 14.04 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(0.33) = 18.43°, 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 5/12 roof pitch into degrees:- 1) pitch = rise/run such as 5/12 = 0.416, 2) tan inverse of pitch = tan-1(0.416) = 22.62°, thus a roof pitch of fraction 5/12, or “5 in 12” slope, or in ratio 5:12 is equivalent to 22.62 degrees.
For 6/12 roof pitch into degrees:- 1) pitch = rise/run such as 6/12 = 0.5, 2) tan inverse of pitch = tan-1(0.5) = 26.57°, thus a roof pitch of fraction 6/12, or “6 in 12” slope, or in ratio 6:12 is equivalent to 26.57 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(0.583) = 30.26°, thus a roof pitch of fraction 7/12, or “7 in 12” slope, or in ratio 7:12 is equivalent to 30.26 degrees.
For 8/12 roof pitch into degrees:- 1) pitch = rise/run such as 8/12 = 0.666, 2) tan inverse of pitch = tan-1(0.666) = 33.69°, thus a roof pitch of fraction 8/12, or “8 in 12” slope, or in ratio 8:12 is equivalent to 33.69 degrees.
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For 9/12 roof pitch into degrees:- 1) pitch = rise/run such as 9/12 = 0.75, 2) tan inverse of pitch = tan-1(0.75) = 36.87°, thus a roof pitch of fraction 9/12, or “9 in 12” slope, or in ratio 9:12 is equivalent to 36.87 degrees.
Degrees to roof pitch calculator
Degrees to roof pitch calculator help you to convert from degrees to roof pitch ratio in following two ways:- 1) calculate the tangent of the angle and 2) multiply the pitch by 12 to find the X in the ratio X/12.
For 10 degrees to roof pitch:- 1) tan of 10 degrees as tan 10° = 0.176, this will give you the pitch of the roof, 2) multiply the pitch by 12 to find the X in the ratio X/12 such as 0.176 ×12 = 2, thus, a 10 degrees angle of roof pitch is same as 2/12 or “2 in 12” slope, or pitch ratio 2:12.
For 20 degrees to roof pitch:- 1) tan of 20 degrees as tan 20° = 0.3639, this will give you the pitch of the roof, 2) multiply the pitch by 12 to find the X in the ratio X/12 such as 0.3639 ×12 = 4.36, thus, a 20 degrees angle of roof pitch is same as 4/12 or “4 in 12” slope, or pitch ratio 4:12.
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For 15 degrees to roof pitch:– 1) tan of 15 degrees as tan 15° = 0.2679, this will give you the pitch of the roof, 2) multiply the pitch by 12 to find the X in the ratio X/12 such as 0.2679 ×12 = 3.2, thus, a 15 degrees angle of roof pitch is same as 3/12 or “3 in 12” slope, or pitch ratio 3:12.
For 30 degrees to roof pitch:- 1) tan of 30 degrees as tan 30° = 0.577, this will give you the pitch of the roof, 2) multiply the pitch by 12 to find the X in the ratio X/12 such as 0.577 ×12 = 6.9, thus, a 30 degrees angle of roof pitch is same as 7/12 or “7 in 12” slope, or pitch ratio 7:12.
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For 40 degrees to roof pitch:– 1) tan of 40 degrees as tan 40° = 0.839, this will give you the pitch of the roof, 2) multiply the pitch by 12 to find the X in the ratio X/12 such as 0.839 ×12 = 10, thus, a 40 degrees angle of roof pitch is same as 10/12 or “10 in 12” slope, or pitch ratio 10:12.