Plumbing calculators

Reference chart

Pipe offset multiplier chart

Travel and run multipliers for 11-1/4°, 22-1/2°, 30°, 45° and 60° fittings, plus a ready-made travel table for offsets from 2 to 24 inches, rounded to the nearest sixteenth.

Travel and run multipliers by fitting angle

Multiply the offset (centre-to-centre) by these numbers to get the travel and the run for each fitting angle
Angle
°
Fitting Travel multiplier
1 ÷ sin θ
Run multiplier
1 ÷ tan θ
11.25 1/32 bend (11-1/4°)5.12585.0273
22.5 1/16 bend (22-1/2°)2.61312.4142
30 30° (conduit)2.00001.7321
45 1/8 bend (45°)1.41421.0000
60 1/6 bend (60°)1.15470.5774
Source: Trigonometry (travel = offset ÷ sin θ; run = offset ÷ tan θ), Standard fitting angles
  • Offset is the centre-to-centre distance between the two parallel pipe lines; travel is the centre-to-centre length of the angled section.
  • Run (also called advance or setback) is how far the offset moves along the pipe line.
  • Cut length = travel minus the fitting make-up (take-off) at each end; make-up varies by fitting brand and pipe size.
  • Multipliers are computed in full precision and rounded to four decimals for display.

Travel for common offsets

Centre-to-centre travel for offsets of 2 to 24 inches, rounded to the nearest 1/16 inch
Offset
in
45° travel
in (decimal)
45° travel
ft-in
22-1/2° travel
ft-in
60° travel
ft-in
2 2.8282-13/16"5-1/4"2-5/16"
3 4.2434-1/4"7-13/16"3-7/16"
4 5.6575-11/16"10-7/16"4-5/8"
5 7.0717-1/16"1' 1-1/16"5-3/4"
6 8.4858-1/2"1' 3-11/16"6-15/16"
7 9.8999-7/8"1' 6-5/16"8-1/16"
8 11.31411-5/16"1' 8-7/8"9-1/4"
9 12.7281' 0-3/4"1' 11-1/2"10-3/8"
10 14.1421' 2-1/8"2' 2-1/8"11-9/16"
11 15.5561' 3-9/16"2' 4-3/4"1' 0-11/16"
12 16.9711' 5"2' 7-3/8"1' 1-7/8"
13 18.3851' 6-3/8"2' 10"1' 3"
14 19.7991' 7-13/16"3' 0-9/16"1' 4-3/16"
15 21.2131' 9-3/16"3' 3-3/16"1' 5-5/16"
16 22.6271' 10-5/8"3' 5-13/16"1' 6-1/2"
17 24.0422' 0-1/16"3' 8-7/16"1' 7-5/8"
18 25.4562' 1-7/16"3' 11-1/16"1' 8-13/16"
19 26.8702' 2-7/8"4' 1-5/8"1' 9-15/16"
20 28.2842' 4-5/16"4' 4-1/4"1' 11-1/8"
21 29.6982' 5-11/16"4' 6-7/8"2' 0-1/4"
22 31.1132' 7-1/8"4' 9-1/2"2' 1-3/8"
23 32.5272' 8-1/2"5' 0-1/8"2' 2-9/16"
24 33.9412' 9-15/16"5' 2-11/16"2' 3-11/16"
Source: Trigonometry (travel = offset ÷ sin θ), Worked values
  • At 45° the run equals the offset, so a 10 in offset also advances 10 in along the line.

How to read the multiplier table

An offset moves a pipe or conduit run sideways to a parallel line. Measure the offset centre to centre between the two lines, then multiply it by the travel multiplier for the fittings you are using. The answer is the centre-to-centre length of the angled piece. Multiply the same offset by the run multiplier to find how far the offset advances along the line, which tells you where the first fitting has to go.

Worked example: a 14 in offset with two 45° fittings needs 14 × 1.414 = 19.799 in of travel, or 1' 7-13/16" to the nearest sixteenth, and advances 14 in along the line.

Where the multipliers come from

The offset, run and travel form a right triangle with the travel as the hypotenuse. With the fitting angle θ, the offset is the side opposite the angle, so travel = offset ÷ sin θ and run = offset ÷ tan θ. That makes the multipliers exact trigonometric values: 1 ÷ sin 45° is the square root of 2, and 1 ÷ sin 30° is exactly 2. This page computes them from those formulas and rounds only for display.

Choosing a fitting angle

Plumbers mostly use 45° (1/8 bend) fittings for drainage offsets because they keep flow smooth and travel reasonable. 22-1/2° (1/16 bend) fittings give a gentler offset over a longer run. 60° (1/6 bend) fittings make a short, tight offset. Electricians bending EMT use 30° often because its travel multiplier of 2.000 is easy to work with in the head, and 10°, 22-1/2° and 45° for other jobs.

Common pipe offset mistakes

  • Measuring the offset to the edge of the pipe instead of the centre line.
  • Cutting the pipe to the travel length without subtracting fitting make-up.
  • Using the run multiplier in place of the travel multiplier at angles other than 45°.
  • For conduit, forgetting shrink: an offset shortens the overall length of the stick slightly, so add the shrink to your mark when bending toward an obstruction.

Drainage offsets must still follow your plumbing code's rules for fitting types and changes of direction.

Frequently asked questions

What is the multiplier for a 45 degree offset?

1.414. Multiply the offset by 1.414 to get the travel. The run (advance) at 45° equals the offset, a multiplier of 1.000. Travel = offset ÷ sin 45°.

What is the 22.5 degree offset multiplier?

2.613 for travel and 2.414 for run. Travel = offset ÷ sin 22.5°; run = offset ÷ tan 22.5°.

What is the 60 degree offset multiplier?

1.155 for travel and 0.577 for run (offset ÷ sin 60° and offset ÷ tan 60°). The 60° fitting gives the shortest travel but the steepest change of direction.

How do I calculate a rolling offset?

Find the true offset first: the square root of roll² + set². For a 10 in roll and 8 in set, the true offset is 12.81 in. Then multiply by the fitting multiplier as usual: at 45°, travel = 12.81 × 1.414 = 18.11 in.

Is travel the same as the cut length?

No. Travel is measured centre to centre of the fittings. Subtract the make-up (fitting allowance or take-off) of the fitting at each end to get the length of pipe to cut.

Calculators that use this chart