Graphical Construction Glossary >> stairs. >> Stair Slope Relationship

Stair Slope Relationship
A simple formula that defines the safe angle of stairs.

the stair slope relationship for straight stairs

The slope relationship cannot be used alone, it must be used with the permitted values for Rise and Go that are shown also in the table! Check your own regs as they may differ.

Note! The table above is used for straight stairs only. Spiral stairs are Below

The slope relationship makes it very easy to find a comfortable and a safe stair. It is simple device used by regulators to simply define the permitted angles of stairs.

  • It is a simple ratio between the rise and the go, or the angle of the stair without mentioning angles or degrees.
  • It is a way of determining the slope of a stair that you can do mentally.
  • Multiply the the rise by 2 and add the go and if the answer does not fall between the limits then you are in trouble, discard that combination and try again. No need for calculating any angles. A very simple use of arithmetic rather than having to use algebra.
  • Further, if you have a slope relationship value that is close to the maximum allowed then you know that you are looking at a steep stair, or if it is near the minimum then it has a low slope. You know this without any drawing or calculating of angles.
  • But, and this is important the simple to use slope relationship not only gets you between the correct angles for a stair, it also stops us from using some of the values for the rise and go that are known to be a bit extreme.
the stair slope relationship for spiral stairs

Note! The Rise (R) is a dimension. A riser is an object. (That you can kick with your toe.)
The Go (G) or Going is a dimension. A tread is an object. (That you can stand on.)

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Please Note! The information on this site is offered as a guide only!  When we are talking about areas where building regulations or safety regulations could exist,the information here could be wrong for your area.  It could be out of date!  Regulations breed faster than rabbits!
You must check your own local conditions.
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