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Calcimator

Conveyor Idler Spacing Calculator

Carrying and return idler spacing from belt width and load.

About this calculator

Idlers hold the belt up between the head and tail pulleys, and space them too far apart and the belt sags enough between supports to spill material, increase power draw, or misalign the load. This calculator applies the standard sag-spacing formula that CEMA (the Conveyor Equipment Manufacturers Association) publishes in its "Belt Conveyors for Bulk Materials" reference, 7th edition: Si = (8 × T × sag%) / (W × g), where T is your minimum belt tension, W is the combined load per meter of belt (material mass, computed from throughput and belt speed, plus an estimated 12 kg per meter of belt width for the belt itself), and sag% is your allowable sag limit — 2% is typical, 3% is the practical maximum. The result is clamped to a practical 0.6–2.0 m range, since real installations rarely go outside it regardless of what the raw formula returns. From that carrying spacing, the calculator derives everything else: return-side idlers (which only support the empty belt) are spaced up to 2.5× wider, capped at 3 m; impact idlers in the loading zone — sized to a length of twice the belt width to absorb the impact of falling material — are spaced at half the carrying distance since they take the heaviest hits; and total idler counts are derived by dividing conveyor length by each spacing and rounding up.

It also back-calculates the actual sag you'd see at the chosen spacing and estimates the flat-to-troughed transition distance near the pulleys (0.7 × belt width). Because belt tension is a required input here rather than derived, get it from a belt tension calculation first — guessing it will throw off every spacing recommendation downstream. You'll notice Bulk density has no effect on any of the numbers above, since the material load per meter comes out of throughput and belt speed alone rather than density — it's kept on the form as a reference figure for other conveyor-sizing steps.

Inputs

mm
t/hr
m/s
kg/m³
N
%
ft

Results

Carrying idler spacing

2 m

≈ 13 smartphones

Return idler spacing

3 m

≈ 20 smartphones

Impact idler spacing1 m
Impact zone length1.6 m
Carrying idler sets51
Return idler sets35
Impact idler sets3
Total idler sets89
Actual belt sag1.6%
Transition distance0.56 m
Material load55.6 kg/m

Figures current as of 2020. Source: Conveyor Equipment Manufacturers Association (CEMA), Belt Conveyors for Bulk Materials, 7th ed. (2nd printing, Aug. 2020)

How to Use This Calculator
  1. Enter the belt width and maximum material load in pounds per foot.
  2. Set material bulk density and belt sag percentage limit.
  3. Input belt tension and trough angle.
  4. Review the maximum allowable idler spacing for carrying and return strands.
  5. Use idler spacing to lay out the conveyor structure and calculate total idler count.

What each input means

Belt width
Standard belt width in mm.
Throughput
Material flow rate in tonnes per hour.
Belt speed
Belt linear velocity.
Bulk density
Material bulk density.
Minimum belt tension
Minimum operating belt tension (from tension calculation).
Max belt sag
Maximum allowable sag between idlers. 2% typical, 3% max.
Conveyor length
Total conveyor center-to-center length.

What each result means

Carrying idler spacing
Recommended spacing for load-carrying idler sets.
Return idler spacing
Recommended spacing for return (bottom) idler sets.
Impact idler spacing
Spacing in the loading zone for impact idler rolls.
Impact zone length
Length of zone requiring impact idlers at loading point.
Carrying idler sets
Total number of carrying idler sets needed.
Return idler sets
Total number of return idler sets needed.
Impact idler sets
Number of impact idler sets in the loading zone.
Total idler sets
Sum of all idler sets (carrying + return + impact).
Actual belt sag
Belt sag percentage at the calculated carrying spacing.
Transition distance
Minimum distance for belt transition from flat to trough.
Material load
Linear material mass along the belt.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Belt width = 800, Throughput = 500, Belt speed = 2.5, Bulk density = 1500 = 7 input(s) provided
  2. Calculate Carrying idler spacing
    Carrying idler spacing = max(0.6, min(2.0, carryingSpacing))
    2 = 2
  3. Calculate Return idler spacing
    Return idler spacing = min(3.0, carryingSpacingClamped * 2.5)
    3 = 3
  4. Calculate Impact idler spacing
    Impact idler spacing = carryingSpacingClamped * 0.5
    1 = 1
  5. Calculate Impact zone length
    Impact zone length = beltWidthM * 2
    1.6 = 1.6

Figures and sources

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why is my carrying idler spacing stuck at the same value even after I change belt tension?

The raw sag formula, Si = (8 × T × sag%) / (W × g), is clamped to a practical 0.6–2.0 m range before it's reported, since real installations don't use spacings outside that band regardless of what the math produces. If your inputs push the raw calculated spacing above 2.0 m or below 0.6 m, the clamp is what you're seeing — try a lower belt tension or tighter sag limit to see the formula's unclamped sensitivity, or check the actual-sag-percent output to see how far off the clamped spacing is from your intended sag limit.

Why is return idler spacing wider than carrying idler spacing?

Return idlers only support the empty belt on its way back to the tail pulley, with no material load, so they can be spaced much farther apart without excessive sag. The calculator sets return spacing at 2.5 times the carrying spacing, capped at 3 m, reflecting that the combined load per meter driving the sag formula (material plus belt weight) drops to just the belt's own weight on the return strand.

Why are impact idlers spaced so much closer together than carrying idlers?

Impact idlers sit directly under the loading point, where falling material delivers a concentrated shock load rather than the steady distributed load the rest of the belt sees. The calculator spaces them at half the carrying-idler distance across an impact zone sized to twice the belt width, giving denser support exactly where the belt takes the heaviest hits.

What happens if I enter a belt tension that's too low for my load?

A low tension drives the sag formula's numerator down relative to your load, pushing the raw carrying spacing toward (or past) the 0.6 m floor — meaning you'd need idlers packed unrealistically close together to keep sag in check. In practice this signals the belt tension is undersized for the throughput and belt width you've entered; running a belt tension calculation first, as the tool assumes, will catch this before it shows up here as a maxed-out idler count.

How is the actual sag percentage different from the sag limit I set?

Your sag limit (2% typical, up to 5% in this tool) is the target used to solve for spacing, but because that spacing gets clamped to the practical 0.6–2.0 m range, the sag you'd actually get at the clamped spacing can differ from your target. The calculator back-calculates this as actualSagPercent by plugging the clamped spacing back into the sag relationship, so you can see whether the real installation will run tighter or looser than the limit you specified.

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