A bit of maths

Haythers

Member
Location
Lancashire
could just do with a bit of help I’m wanting to make a lean to for our sheep shed I have worked out to fetch it out 15ft and it will drop from 12 to 10ft so I’ve worked out that the beam will need to be 18ft long. So providing the first bit is right here’s the question how do I work out what angle the beam needs to be cut at?
Cheers
 

milkloss

Member
Livestock Farmer
Location
East Sussex
Amateur maths here but I’m not sure the maths is right so far.

Using Pythagoras: you need 15ft level extension with a 2ft drop in the roof
(15x15)+(2x2)=229
Root of 229=15.1327ft=15ft and 1.6inches Beam length

Prepared to be corrected and probably will be!
 

BobGreen

Member
Location
Lancs
could just do with a bit of help I’m wanting to make a lean to for our sheep shed I have worked out to fetch it out 15ft and it will drop from 12 to 10ft so I’ve worked out that the beam will need to be 18ft long. So providing the first bit is right here’s the question how do I work out what angle the beam needs to be cut at?
Cheers
Go on internet and look for triangle calculator. It will give you lengths and angles. Everything you need
I use it every day
 

dannewhouse

Member
Location
huddersfield
what size of steel are you using? both rafter and leg (I would advise 203 x 133)
what pitch are you aiming for? say 15 degrees?
what is the eaves height of the existing shed?

I will draw it for you on cad for you. what size endplates would you use? 6mm would probably be enough but 10mm would cost bugger all more on grand scheme?
 

dannewhouse

Member
Location
huddersfield
does this help? everything is in mm 12ft to top on existing, 10ft to top on new eaves, 15ft old outer to new outer.
lean to.png
 

DrWazzock

Member
Arable Farmer
Location
Lincolnshire
I would decide how far out its going horizontally (X) and how far down it is vertically (Y) first.

Then you can work out the length of the beam Z using Pythagoras.

Z = square root of ( ( X times X ) + (Y times Y) )

The angle is 90 - Arctan( Y/X). You don't even need to know Z to work this out.

To work out Arctan use a web based calculator or scientific calculator where you press Inv then Tan making sure you have the calculator set to degrees, not radians.

If you are coming out 15 and down 2 it works out at 82.4 degrees angle in the top corner.

The beam length is 15 foot 1.6 inches.

(I think??!!!)
 

puppet

Member
Livestock Farmer
Location
sw scotland
Pythagoras is spot on to give you the length, assuming you don't want a bit overhang. If you then cannot work out how to measure the angle to cut then is shed-building for you? Here is an idea if your protractor is rusty.
You could just lay the beam sideways on flat concrete, mark out the profile with some chalk and make the cut using a set square.
Presume we are talking about steel? If wood then just trim it once up.
 

Haythers

Member
Location
Lancashire
Pythagoras is spot on to give you the length, assuming you don't want a bit overhang. If you then cannot work out how to measure the angle to cut then is shed-building for you? Here is an idea if your protractor is rusty.
You could just lay the beam sideways on flat concrete, mark out the profile with some chalk and make the cut using a set square.
Presume we are talking about steel? If wood then just trim it once up.

Not looking to go into full scale production here just toying with the idea of making a lean to as we’re a bit short of space come lambing time, don’t have any steel or anything yet I just want to get stuff worked out, think I need to be getting myself some graph paper like @Lazy Sod said, just thought that there would be formulas to work this stuff out but obviously I don’t know them haha
 

dannewhouse

Member
Location
huddersfield
Yes that does help thanks, could go for 10mm end plates like you say it won’t cost much more at all, the existing eaves are 12ft and would drop to 10ft and have a floor span of 15ft that’s right
if you change your mind on anything or want to alter it I will draw it up again with all the purlins etc on if you want.
 

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