Conduit Bending Calculator
Work out the marks for an offset, a 90° stub-up or a three-point saddle, with the shrink and take-up already accounted for — for anyone standing at a bender with a tape measure.
Last checked against the code
Conduit Bending Calculator
Offset bend
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Distance between bend marks
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Shrink to add before cutting
- Distance, decimal
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- Shrink, decimal
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At the bender
How this is calculated
The offset. Two equal bends step the run sideways around something in the way. Between the marks the pipe follows the hypotenuse of a right triangle whose short side is the offset depth, so the distance between marks is the depth divided by the sine of the bend angle — the cosecant. That is all a multiplier is. csc(30°) is exactly 2; csc(10°) is 5.759, which the trade rounds to 6 because you can do that one in your head.
Shrink falls out of the same triangle. The sloped section is longer than the horizontal distance it covers, so the pipe consumes more length than the run advances and the far end arrives closer than it would have. It is a predictable consequence of the geometry rather than a tolerance, which is why it belongs in the cut length and not in a correction applied afterwards.
The 90° stub-up has one bend and nothing to measure between, so its arithmetic is a deduction instead. The curve consumes length; take-up is how much, subtracted from the height you want to find where the arrow goes. Note what that makes it — a fact about a tool rather than about geometry, and the one number on this page with no exact value to derive.
The three-point saddle crosses an obstruction rather than stepping around it. A centre bend lifts the run over and two outer bends bring it back down parallel to where it started. In the standard configuration the centre mark is bent to 45°, each outer mark to 22½°, and the outer marks sit two and a half times the obstruction height either side of centre.
Worked example
One full calculation with real numbers, so you can follow along and check the tool by hand.
A run of ½ in. EMT has to clear a 6 in. duct crossing its path. There is plenty of room either side, so a 30° offset it is — the friendliest angle to work with, because its multiplier is exactly 2.
Distance between the marks. Depth times the multiplier: 6 × 2 = 12 in. Mark the pipe where the offset should start, measure 12 in. further along, mark it again. Both marks get bent to 30°, arrows facing each other, both bends in the same plane.
Shrink. A 30° offset loses a quarter inch per inch of depth: 6 × ¼ = 1½ in. That is how much shorter the stick will be, end to end, once the bends are in it.
What that means at the saw. Suppose the finished run has to measure exactly 60 in. from the box to the coupling. Cut the pipe at 60 in. and bend it, and it will come out at 58½ — a stick in the scrap bin. Cut it at61½ in. and after bending it measures 60. The shrink figure is not a correction you apply afterwards; it is part of the cut length.
Now compare the angles. The same 6 in. offset at 45° would put the marks 6 × 1.4142 = 8½ in. apart and lose 6 × ⅜ = 2¼ in. to shrink. At 10° the marks go 36 in. apart and only ⅜ in. is lost. The trade-off is the whole art of choosing an angle: a shallow bend is an easy pull and a cheap shrink but needs a long clear run to develop in, while a steep one fits in tight quarters and costs you both length and pulling friction.
Six inches is also on the deep side for a single offset in ½ in. EMT. If the run were tight against a wall with only a foot of clear pipe either side, 45° or 60° would be the only options that fit — and the shrink allowance would need watching correspondingly harder.
Visual comparison
The drawing follows the mode you picked and relabels itself as you type. It is here to say which dimension is which.
| Dimension | Measurement |
|---|---|
| Offset depth | 6" |
| Distance between the two bend marks | 12" |
| Angle bent at each mark | 30° |
| Length lost to the bends | shrink 1-1/2" |
Schematic — the shape is fixed and not drawn to scale. Only the labelled measurements are meaningful.
| Dimension | Measurement |
|---|---|
| Conduit trade size | 1/2" conduit |
| Stub height, back of bend to end | 12" |
| Mark measured from the end of the conduit | 7" |
| Bender take-up deducted | take-up 5" |
Schematic — the shape is fixed and not drawn to scale. Only the labelled measurements are meaningful.
| Dimension | Measurement |
|---|---|
| Obstruction height | 3" |
| Centre mark to each outer mark | 7-1/2" |
| Angle bent at the centre mark | 45° |
| Angle bent at each outer mark | 22.5° |
| Length lost to the bends | shrink 9/16" |
Schematic — the shape is fixed and not drawn to scale. Only the labelled measurements are meaningful.
Reference tables
The first table is the one worth photographing and keeping on your phone. It carries the published multiplier and shrink figures the calculator uses — and, next to each, the exact geometric value they come from. That second pair of columns is unusual for a trade table and it is there deliberately: it lets you see which figures arethe geometry, which have been rounded for convenience, and in which direction.
The second table is take-up by trade size, with the shortest stub each bender can produce and the mark for a 12 in. stub already worked out. Use it when you know the job and just need the number. Take-up is the figure most worth checking against your own tool before you rely on it, for the reason the notes below set out.
| Bend angle | Multiplierpublished | csc(angle)exact | Shrink per inchpublished | tan(angle ÷ 2)exact | |
|---|---|---|---|---|---|
| 10° | 6 | 5.7588 | 1/16" | 0.0875 | |
| 22.5° | 2.6 | 2.6131 | 3/16" | 0.1989 | |
| 30° | 2 | 2 | 1/4" | 0.2679 | |
| 45° | 1.4142 | 1.4142 | 3/8" | 0.4142 | |
| 60° | 1.155 | 1.1547 | 7/8" | 0.5774 | Check before use |
| Trade size | Take-up | Shortest stub possible | Mark for a 12" stub |
|---|---|---|---|
| 1/2" | 5" | just over 5" | 7" |
| 3/4" | 6" | just over 6" | 6" |
| 1" | 8" | just over 8" | 4" |
| 1-1/4" | 8" | just over 8" | 4" |
| 1-1/2" | 9" | just over 9" | 3" |
| 2" | 10" | just over 10" | 2" |
| 2-1/2" | 13" | just over 13" | — |
| 3" | 14" | just over 14" | — |
Notes and exceptions
Not covered in v1. Four-point saddles — two offsets back to back, used where an obstruction is too wide for three bends to clear — are a different calculation and are a planned addition rather than something to approximate from the three-point figures. So are saddles built around a 60° centre bend. Rolling offsets, where the run has to move in two axes at once, need the true offset resolved from the horizontal and vertical components before any multiplier is applied.
Gain is not modelled either. A 90° bend recovers a small amount of length compared with two straight legs meeting at a sharp corner, because the curve cuts the corner. On a single stub it is absorbed by the take-up figure and never appears. On a stick carrying several 90s measured from a common datum it accumulates, and at that point it has to be accounted for explicitly.
Bending affects more than the shape. A bend flattens the conduit slightly on the outside of the curve and reduces its internal area, which is one reason the code caps the total bend between pull points at 360°. Nothing on this page touches that limit, and a run can be geometrically perfect and still be unpullable because the bends have accumulated.
Common mistakes
Cutting the conduit before allowing for shrink
Bending an offset pulls the two ends closer together — a 6 in. offset at 30° loses 1½ in. of overall length. Cut a stick to the finished dimension and it will be short by exactly that once the bends are in it, and there is no way back.
Confusing the bend angle with the angle of the offset
A "30° offset" means each of the two marks is bent to 30°, not that the run changes direction by 30° in total. The multiplier is indexed to the angle you dial on the bender. Reading it as a total deflection halves your answer.
Measuring the stub to the wrong face
Stub height is measured from the back of the bend — the outside of the heel, the face that sits against the floor or the wall. Measuring to the inside of the bend instead leaves you short by roughly one conduit diameter on every stub.
Trusting a printed take-up over the bender in your hand
Take-up is set by the shoe radius and where the manufacturer stamped the arrow. Two ½ in. hand benders from different makers can genuinely differ, and mechanical benders for the larger sizes differ more. The number on the tool wins.
Letting the two offset bends drift out of plane
Both marks have to be bent in the same plane, arrows facing each other. A few degrees of roll between them produces a dog-leg that will not lie flat against the surface and cannot be corrected without cutting the bends off.
This tool provides planning estimates. Always verify final values against your local code and a licensed electrician.
Frequently asked questions
What is the multiplier for a 30 degree offset?
Two. Multiply the offset depth by 2 to get the distance between the two bend marks, so a 6 in. offset needs marks 12 in. apart. The figure is exact rather than rounded: the multiplier for any offset angle is the cosecant of that angle, and csc(30°) is precisely 2. That neatness is why 30° is the angle most people reach for first.
What is conduit shrink and why does it matter?
When a run steps sideways it travels along a slope instead of straight, and the sloped section covers less horizontal ground than the pipe consumed making it. The two ends therefore finish closer together than they started — the pipe has effectively shortened. Shrink per inch of offset is tan(half the bend angle), so a 30° offset loses a quarter inch for every inch of depth. Add it to your measurement before cutting.
What is take-up on a conduit bender?
The distance between the end of the finished stub and the point on the pipe you have to line the bender arrow up with. A 90° bend consumes some length in the curve itself, and take-up is how much. It is a property of the bender shoe rather than of the conduit, which is why the same ½ in. EMT has different take-up on different tools — and why the number stamped on the bender is more reliable than any table.
How do you bend a three-point saddle?
Mark the centre of the obstruction on the pipe and shift that mark toward the end you measured from by the shrink allowance. Mark 2½ times the obstruction height either side of the centre mark. Bend the centre mark to 45° using the bender’s centre-of-bend mark, then rotate the pipe 180° and bend each outer mark to 22½°, keeping all three bends in one plane.
Why do different sources give different bending numbers?
Because two different kinds of number are printed side by side. The multipliers are geometry and cannot really disagree, though they are rounded to different precisions — 5.759 becomes 6 for mental arithmetic, while 2.613 gets truncated to 2.6. Take-up is not geometry at all but a measurement of a particular tool, so it legitimately varies between manufacturers. Treat published constants as a starting point and calibrate against your own bender.
Do these figures work for EMT, rigid and PVC?
The multipliers and shrink figures do, because they are pure geometry and know nothing about the material. Take-up does not: it depends on the bending shoe, and the shoe for rigid conduit has a larger radius than the EMT shoe in the same trade size. PVC is bent with a heater blanket rather than a shoe and has no take-up figure at all — you form it against a template and check the shape directly.