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Michael Nauth
Registrace 13. 09. 2012
10 Steps
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zhlédnutí: 2 354
Video
THE HIP ROOF
zhlédnutí 118KPřed 10 lety
Hip Rafter length calculations, angle cuts, shortening, dropping, backing. Hip Jack Rafters, line lengths, common differences
ROOF FRAMING CALCULATIONS
zhlédnutí 2MPřed 10 lety
Review of basic geometry, Pythagoras' Theorem and Similar Triangles, needed for roof calculations
Thank you Sir 🥰
Needed this video at this point. Thanks!
There are plenty of apps and ready reckoner books that do all this maths for you, even a basic knowledge of how to use a framing square will do the trick, this is archane and pointless
Good class
Thanks Michael
Very helpful thanks
You're welcome , George.
Very, very informative and helpful. Two questions: how important is it to subtract the ridge drop from the actual rise calculations? Wouldn't the total rise plus the rafter stand calculations be sufficient for most structures?
The subtraction is mainly a test for carpentry competitions where the ridge is flat on top (a standard 2x6) as opposed to one that has been bevelled to a peak.
Your mom has a perpendicular bisector.
4+3 =5 no it doesnt its 7
Thank you 🙏🏽
Simple. Thanks pal.!
Glad it helped
Awesome
how do you work out A ? total run is 4940m which is B . Trying to work out A on a 12 12 pitch roof?
Not sure what you mean by 'A'. For a 12 in 12 roof, the Total Rise is equal to the Total Run.
Superb explanation! Thank you.
I have a common Rafters with an 8 inch overhang.How do I measure the overhang on the hip rafter?Do I measure an 8 inch square diagonal? I’m very confused
The short answer is yes. I am hoping by overhang you mean 'projection' or the horizontal travel of the tail of the common rafter, in which case the horizontal of the hip rafter would be 11 5/16" or √(8² + 8²)
@@michaelnauth yes that is exactly what I meant.Thank you for the reply.Huge help
There is no need to calculate the length of rafters and framers will not be interested in getting into the math. All you have to do is mark run and rise at right angles on the flat, put the rafter in correct position with respect to wallplate and ridge and mark as required.
What if you have a tall building with long rafters? Are you gonna climb and place 6 meter wooden studs at 10 meters above the ground while your assistant applies a tape measure? Don't be a fool.
Very good! Congratulations!
Thanks Luiz
Well done!
Thanks Brent!
Good stuff
Thanks Leo
Finally after looking over 20 videos I found this one that I understood how to measure and cut the rafters properly.
Excellent!
Thanks
Welcome
can you please do one with millimeters instead?
Hi Ben I will work on an SI version (mm) and post it ASAP.
Hi Ben (sorry for the late reply). In the SI system, roof slope is stated as Rise : Run, but with the Rise being '1'. So a 6/12 Imperial roof slope would be a 1:2. Using that ratio, and Similar Triangles, a roof with a span of 8m (run of 4m or 4000mm) and a slope of 1:2, would have a Total Rise of 2000mm (or 1/2 times 4000) and a rafter length of 4472.1mm (√(2000² + 4000²)). For the same roof with a slope of 1:1.5, the Total Rise would be 2666.7mm (1/1.5 times 4000), and a rafter length of 4807.4mm (√2666.7² + 4000²)).
Great👍
Thank you Juan.
Thx u sir godbless clever made it easyer for me
Thank you Michael.
So now I know why I was taught trigonometry....... still haven't found a use for algebra though........
Solving similar triangles is algebra in action. Anytime you use 'x'.
I love it .... learning is the BEST way to get to be the best in subjects
Mr Michael nauth thank you for this video I learn a lot from you video you are a good gentleman and a good teacher I thank you
You're welcome.
And the professional carpenter know that they knows everything but not yet every day new are coming
I like the way you are teaching
Thanks
I like the way you are teaching
Thank You Addai.
Michael @17.37 - X Calculation getting to Technical just say the 5ft + HAP 4 1/2 - Ridgeboard Width = the Actual Height for the Ridgebeam Pending the Width of the Ridgeboard .
Bro can you give me your insta id or anything just i want to follw
Not set up as yet.
@@michaelnauthyou haven't any Social Media Account ?
@@gamerinfinix Not yet.
@@michaelnauth Sir can you give me this cuannel if you are not working on this channel if you want to give me . As you have 8k Subscribers and i want startup from youtube. If you want to give me this channel then Sir please give me.
What do they call "side by side triangles" under both sides of roof rafters?
Not sure - together they form the Gable End.. Each one is a mirror image of the other.
👍😎
Excellent including Metric equivalences!!!
Glad you like them!
Why making things complicated. In ancient carpenters brotherhood calculations, we calculate hypotenuse using your given run measurements Multiplied to the secant at your given pitch and that's it. Example your run measurement is say 345.8 cm and the pitch is 45 degrees, just do 345.8 X 1,4142 ( secant number from periodic tables at 45 degrees ) equal 489.03. that is exactly your hypo. However good lessons for beginners it yours.
Thanks for your teaching
You're very welcome.
This was great, thanks, I been tryin to find out about "how to build rafters for a shed" for a while now, and I think this has helped. You ever tried - Beybigail Nonpareil Breakthrough - (just google it ) ? It is a smashing exclusive product for discovering how to create better sheds and improve your woodworking minus the normal expense. Ive heard some great things about it and my brother in law got great results with it.
Many thanks, I have been researching "how far apart should rafters be on a shed?" for a while now, and I think this has helped. You ever tried - Beybigail Nonpareil Breakthrough - (should be on google have a look ) ? It is an awesome one of a kind guide for discovering how to create better sheds and improve your woodworking without the normal expense. Ive heard some awesome things about it and my co-worker got excellent success with it.
Can you or someone tell me what the hip/valley line length ratio “secant “ is of a 5/12-8/12 bastard roof is . I don’t know if I’m doing the math correctly or not.
When calculating rafter lengths for an Unequal Slope Hip Roof, all measurements need to be made to the fascia line in order to maintain an equal projection on all sides. For the roof in question, let's call the 5/12 side the 'Side Roof' and the 8/12 side the 'End Roof'. For a Side roof run (to the fascia line) of 2' or 24", the rise would be 2 x 5" or 10". Therefore the End roof rises a total of 10" with an 8/12 slope and thus the End Run is 10" x 12 ÷ 8 = 15". The Hip or valley rafter then has a run equal to the hypotenuse of the 15/24 triangle or SQ Root of (15 squared + 24 squared) or 28.30". But it still has the same rise of 10". The length of the Hip/Valley rafter would then be SQ Root of (10 squared + 28.30 squared) or 30.01". [you can skip a step and take the SQ Root of (15 sq'd + 24 sq'd + 10 sq'd). The Hip angle is found by taking the INV TAN (ARCTAN) of 10 ÷ 28.30 or 19.5°. You can also take the ARCSIN of 10 ÷ 30.01 .
@@michaelnauth when calculating the run for the unequal slope hip. Do we use the run of the shallow side or the steep side.
@@TR-rn3pd When calculating the rise for the Unequal Slope roof, you would use the run of the shallow side, measured horizontally from the fascia line to the centre of the building.
@@michaelnauth made sense to me after reading your last comment a few times . Thank you for your help.
Does measuring and cutting roof rafters have to be this difficult,I think not, get a good roofing square, read the numbers imprinted on the square,or learn how to read it, it will give you everything you need to know, including rafter length of any pitch down to the birdsmouth,
True - just follow the correct steps.
What would you set the saw bevel to for cutting a purlin if the edge bevel purlin is 49.1 degrees from a 30 degree roof
A 30° roof is close to a 7/12 slope, or a 6.928/12 slope. The hypotenuse of 7-12 triangle is 13.89 (on line 1 of the Framing Square Rafter Tables), and for 6.928-12 triangle, it is 13.856. To find the Hip Rafter, you would find the hypotenuse of the 7-17 triangle (or 7-16.97 , the diagonal of a 12x12 square), and you would get 18.36, found on line 2 of the Tables. To get the bevel angle, you would calculate or measure the small angle of the 7-18.36 triangle, INV TAN (7÷18.36) or 20.87°. For your 30° roof, the hypotenuse of 6.928-16.97 triangle is 18.33, and the bevel angle INV TAN (6.928÷18.33) is 20.7°. Incidentally, 49.1° is the angle of the 13.856-12 triangle, INV TAN (13.856÷12).
I'm building a small shade structure. In order to figure out how to frame the roof I watched carpenters on CZcams with their speed squares and their framing squares and their construction master calculators and figured out all the pieces and parts then, like this guy, I sat down with paper and pencil and broke down all the little triangles. It's all just Pythagorean theorem or simple proportions, don't really need trigonometric functions except to calculate angles for a miter saw. Then I did it again in my cogo (coordinate geometry) software to confirm my numbers.
You're correct David. It's simple geometry.
Hello professor, ur lecture is impeccable, BUT!! Simplicity is what I live for. I have paid dearly, but mastery is never too far around the corner.
Use my calculator for android phones to easily figure rafter lengths and more! Just $3! Made by a union carpenter. facebook.com/carpenterscalculator/?ref=bookmarks
Excellent! Many good programs and apps online.
That's why its easier to measure your span and run from the inside of the top plate rather than the outside. This way your measuring line is on the bottom edge of the rafter than being inside the width of the board. And your measuring line ends right at the edged of the ridge board instead of its center. Don't forget to subtract the thickness of the ridge from the span before calculating the run..
So basically if you take trapezoid and a triangle and smack them against the wall it will turn into a circle. Is that what you're saying????
The trapezoid plus the triangle together make a Rectangle.
I was just trying to be funny dude
I don't get how you get to 3/4 (19) from 12 ?
3'4" (19 mm) is one-half the thickness of the ridge board, which is 1½" thick.
Very good information Michael and well explained! On the point of shortening the ridge, we normally face the last pair of rafters with a saddle board or a type of gusset board for the hip rafters to rest against as they have a longer plumb cut, the crown rafter in between is also built down with a triangular block or the same rafter thickness and this enables a longer plumb cut on the crown rafter similar in length to the plumb cut of the hips.
Excellent idea, especially when the rafters are exposed.
You have to come with some practical examples its difficult for new learners , like you have to out values and calculate
Check around 21.00 mins on the video.