Conduit Bend Multiplier Calculator
Calculate offset bend multiplier, travel, shrink factor, and geometry shrink from entered bend angle and offset depth.
- Offset multiplier
- x
- Shrink per inch of offset
- x
- Travel between bends
- in
- Geometry shrink
- in
- Bend angle used
- deg
Calculation details
- Calculation basis
- Layout boundary
Recent results
Formulas
- \(M_{\mathrm{offset}} = \frac{1}{\sin(\theta)}\)
- \(T = D_{\mathrm{offset}} \times M_{\mathrm{offset}}\)
- \(F_{\mathrm{shrink}} = \tan\left(\frac{\theta}{2}\right)\)
- \(S_{\mathrm{shrink}} = D_{\mathrm{offset}} \times F_{\mathrm{shrink}}\)
A conduit bend multiplier calculator determines the travel between bends required to make a two-bend offset. It uses the selected Bend angle and the required Offset depth to calculate the centerline travel along the conduit, along with estimated conduit shrink.
The primary result is the Offset multiplier. Electricians multiply the perpendicular offset depth by this value to establish the distance between bend reference points for a standard offset layout. For example, a 4-inch offset made with two 30-degree bends requires 8 inches of travel between bends when using a 2× multiplier.
This calculation supports conduit layout for raceways that must clear structural members, enter offset boxes, change elevation, align with equipment knockouts, or maintain a planned route through a branch circuit or feeder installation. It addresses bend geometry only; it does not determine raceway fill, conductor ampacity, voltage drop, box fill, or conductor pulling requirements.
Offset Bend Geometry
A two-bend offset changes the conduit’s elevation or lateral position while keeping the raceway parallel to its original path. The Offset depth is the perpendicular distance between the original conduit centerline and the new conduit centerline.
The distance measured along the conduit between bends is longer than the offset depth. That diagonal distance is the Travel between bends.
For a given bend angle:
\(\displaystyle \text{Travel between bends} = \text{Offset depth} \times \text{Offset multiplier}\)
The calculator derives the multiplier from the sine of the entered bend angle:
\(\displaystyle \text{Offset multiplier} = \frac{1}{\sin(\text{Bend angle})}\)
A smaller bend angle produces a larger multiplier and longer travel. A larger bend angle produces a shorter offset, but it also creates a sharper directional change and may be less suitable for the available conduit run or bending conditions.
Calculator Inputs
| Field | Electrical layout use |
|---|---|
| Bend angle | The angle used for each bend in the offset layout, entered in degrees. |
| Offset depth | The required perpendicular displacement, entered in inches. |
The Bend angle must match the angle actually marked and formed on the conduit. A 30-degree calculation applies only when both bends are made at 30 degrees in the intended offset configuration.
The Offset depth should be measured perpendicular to the original raceway path, not diagonally along the conduit. For an offset intended to clear an obstruction, use the required centerline displacement and account separately for conduit outside diameter, coupling clearance, fitting dimensions, and the available space around the obstruction.
Calculation Results
The calculator returns the following geometry values:
| Result | Meaning |
|---|---|
| Offset multiplier | Multiplier applied to the offset depth to determine conduit travel between bends. |
| Shrink per inch of offset | Estimated longitudinal shortening for each inch of perpendicular offset. |
| Travel between bends | Distance along the conduit between the two bend locations. |
| Estimated shrink | Total expected shortening caused by the offset. |
| Angle used | The bend angle applied to the calculation. |
The estimated shrink is based on the entered angle and offset depth:
\(\displaystyle \text{Estimated shrink} = \text{Offset depth} \times \text{Shrink per inch of offset}\)
For the calculator’s geometry, shrink per inch follows:
\(\displaystyle \text{Shrink per inch of offset} = \tan\left(\frac{\text{Bend angle}}{2}\right)\)
Shrink affects where the completed offset lands relative to a box, coupling, equipment enclosure, or conduit stub-up. It is a longitudinal layout adjustment, not a change to the required perpendicular offset depth.
30-Degree Offset Example
For the displayed values:
- Bend angle: 30 deg
- Offset depth: 4 in
The calculator uses the 30-degree offset multiplier:
\(\displaystyle \text{Offset multiplier} = \frac{1}{\sin(30^\circ)} = 2\)
Travel between bends is:
\(\displaystyle 4\text{ in} \times 2 = 8\text{ in}\)
The calculated shrink per inch is:
\(\displaystyle \tan(15^\circ) = 0.2679\)
Estimated shrink is:
\(\displaystyle 4\text{ in} \times 0.2679 = 1.0718\text{ in}\)
| Result | Calculated value |
|---|---|
| Offset multiplier | 2× |
| Shrink per inch of offset | 0.2679× |
| Travel between bends | 8 in |
| Estimated shrink | 1.0718 in |
| Angle used | 30 deg |
The layout therefore calls for an 8-inch travel distance between the two 30-degree bend points, with approximately 1.0718 inches of longitudinal shrink to consider when locating the offset relative to its final termination point.
Field Verification
The calculator provides offset geometry, not a substitute for the actual bender reference system. Verify the bender’s arrow, star, rim notch, center-of-bend reference, and any manufacturer-specific multiplier or shrink markings before making the bends.
Actual field layout can vary because of:
- Conduit type, trade size, and bending radius
- Hand-bender, mechanical-bender, or hydraulic-bender reference marks
- Springback after bending
- Bend direction and whether the offset is rolled
- Existing couplings, connectors, boxes, straps, and equipment clearances
- Measurement reference points at the conduit end or fitting shoulder
Confirm the completed offset against the intended raceway route before final support, coupling, or termination. The calculated travel and shrink values describe the ideal geometry for the entered Bend angle and Offset depth; actual bender markings and installed conduit position require separate field verification.
FAQs
Does the multiplier choose a bender setting?
No. It is a geometry mode using the entered angle and depth; confirm the actual bender and conduit conditions separately.
What does shrink per inch represent?
It is the tangent-based shrink factor for the entered bend angle, applied to the entered offset depth in this mode.