You are folk of many and diverse talents.
In my outbuilding, to get up to the space above the horizontal roof beams, I need a ladder exactly 3366mm length.
That's
(/ 3366 25.4 12) ;; 11.043307086614172 ;; ft (- (/ 3366 25.4) (* 11 12)) ;; 0.5196850393700743 ;; inches
11ft length
In explanation
- 3120mm floor to roof-beam base vertically
- 1-to-4 rule - 1 length "out" for 4 lengths of height
- which means length of ladder is sqrt(17/16) of vertical height (comes from "Pythagoras")
So
(+ (* (sqrt (/ 17.0 16)) ;; 1.0307764064044151 3120) ;; 3216.0223879817754
100 ;; mm ;; the height of the roof beams
50 ;; just a bit more ) ;; 3366.0223879817754
The idea is, that allows me to carry that ladder into the outbuilding readily, then tip it upright and "catch" whichever roof-beam I want it to lean against.
Then I can leave that ladder propped up vertically against the far wall without being long enough to hit the roof.
How would one arrive at a ladder of exactly that length? Any advice?
Rich S
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Shorten a longer one?
In the US ladder steps are one foot apart, 30 Cm, and about 40 - 45 Cm wide.
I made one to fit an exact space, with top end eyes that fit over fixed hooks, from 2x4 (4 Cm x 9 Cm) pine wall studs with notches for the steps cut on a table saw. I've made them with the steps level when upright and with them nearly level when leaning, and don't notice much difference. I think identical step heights is more important than the precise leaning angle.
If you don't have a power saw available a hand saw can cut tight-fitting notches if you clamp vertical wood guide blocks snugly on either side of the step and use them to guide the saw blade; the kerf will be within the step space. For timber framing I use a pruning bow saw with a freshly sharpened blade when working away from electricity or on a ladder.
A discarded and damaged aluminum ladder that I repaired and modified to work on wood shed roofs has bolts through the top end (the I-beam flange) that catch on rafters to stabilize it, since the lower end is on somewhat uneven ground or snow/ice.
This light and stable ladder is my favorite for jobs within its reach. It stores upright between the peaked roof shed's (horizontal) ceiling joists in the open space between the eaves and the central catwalk.
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