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Multiplicadores de doblado y encogimiento

Offset multiplier and shrink by bend angle
AngleMultiplier
(1/sin θ)
Field ruleShrink per inch
of rise
Field rule
10° 5.759 6 0.0875" 1/16"
22.5° 2.613 2.6 0.1989" 3/16"
30° 2.000 2 0.2679" 1/4"
45° 1.414 1.4 0.4142" 3/8"
60° 1.155 1.15 0.5774" 1/2"

Distance between the two bends = rise × multiplier. Shrink = rise × the shrink figure; add it to your measurement so the fitting lands where you wanted it.

Multiplier = 1 ÷ sin θ. Shrink per unit of rise = 1 ÷ sin θ − 1 ÷ tan θ. Both are pure trigonometry — nothing here is code-book data. Bender take-up is stamped on your tool; read it there.

The field rules are memorised roundings, and they drift. The multiplier columns stay close at every angle, but the shrink rules do not: 1/16" at 10° is 0.025" per inch of rise short of the computed 0.0875", and 1/2" at 60° is 0.077" per inch short of 0.5774". On a 10° offset with a 12" rise that is about 5/16" of shrink you never allowed for; on a 60° offset with a 6" rise, about 7/16". Use the rule for a quick offset in a short run; use the computed figure when the run is long, when several offsets stack, or when the pipe has to land in a fitting.

Print this small and it lives in the pouch. Practise the maths on the offset drill, and when you are at the bender working a real pull, bentright.com runs the numbers.

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