Belt Conveyor Design Calculator
Belt width, speed, and motor HP from throughput and material.
About this calculator
This calculator follows the CEMA (Conveyor Equipment Manufacturers Association) 7th-edition "Belt Conveyors for Bulk Materials" method to sizing a troughed belt conveyor from a target throughput. It first estimates the material's cross-sectional area on the belt by subtracting a fixed edge margin from the belt width, then combining a troughed-section area (driven by your trough angle) with a surcharge-pile area on top (assuming a 20° surcharge angle, typical for most bulk solids). From that area and your bulk density, it solves for the belt speed needed to hit the design throughput, with a 0.1 m/s floor so the math never returns an unrealistic crawl. Total effective belt tension is built from two forces: horizontal friction, which factors in both the belt's own estimated mass per meter (roughly 12 kg per meter of belt width, a typical multi-ply estimate) and the material load, all scaled by your friction factor; and a lift force that only appears when the conveyor is inclined, computed from the material's weight times the sine of the incline angle.
Motor power then falls straight out of tension times speed over drive efficiency. One detail worth knowing: because bulk materials tend to slide back down a steep trough above roughly 18°, the calculator applies a capacity-reduction factor to any incline angle you enter, reporting a separate "effective throughput" that's lower than your design throughput once incline losses are accounted for — if you need to hit your original throughput target on an incline, you may need to reduce incline angle or upsize the belt. As with any CEMA-based estimate, friction factor and belt mass are approximations; use these outputs for preliminary specification, not final engineering sign-off.
Inputs
Results
Required belt speed
1.03 m/s
Motor power
1.8 kW
≈ 30 laptops
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
- Enter the required material throughput in tonnes per hour.
- Set belt width in millimeters, conveyor length in meters, and incline angle in degrees.
- Input material bulk density, trough angle, friction factor, and drive efficiency, or use the provided defaults.
- Review the calculated belt speed, required motor power (kW and HP), and total effective tension.
- Use the motor power and cross-section area outputs to specify drive components and belt structure.
How the result changes with Belt width
| Belt width | Required belt speed | Motor power |
|---|---|---|
| 400 | 5.83 m/s | 2.2 kW |
| 600 | 2.04 m/s | 1.9 kW |
| 1,200 | 0.41 m/s | 1.7 kW |
| 2,000 | 0.14 m/s | 1.7 kW |
What each input means
- Design throughput
- Required material flow rate in metric tonnes per hour.
- Belt width
- Standard belt widths: 400, 500, 650, 800, 1000, 1200, 1400, 1600, 1800, 2000 mm.
- Bulk density
- Material bulk density. Coal ~800, sand ~1500, ore ~2200 kg/m³.
- Conveyor length
- Center-to-center distance between head and tail pulleys.
- Incline angle
- Belt incline from horizontal. Max ~18° for most bulk materials.
- Trough angle
- Idler trough angle. Common values: 20°, 35°, 45°.
- Friction factor (f)
- CEMA friction factor. 0.02 well-maintained, 0.03 average, 0.04 poor.
- Drive efficiency
- Combined efficiency of motor, gearbox, and coupling. Typically 0.85–0.92.
What each result means
- Required belt speed
- Belt speed needed to achieve design throughput at the given belt width.
- Motor power
- Minimum motor power at the shaft, including drive losses.
- Motor power
- Motor power in horsepower.
- Cross-section area
- Material cross-sectional area on the troughed belt.
- Volumetric capacity
- Volume of material the belt can carry per hour.
- Effective throughput (incline-adjusted)
- Actual throughput after incline capacity reduction.
- Material load per meter
- Linear material mass along the belt.
- Total effective tension
- Sum of friction resistance and gravity component at the drive pulley.
- Lift height
- Vertical rise of the conveyor.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersDesign throughput = 500, Belt width = 800, Bulk density = 1500, Conveyor length = 50 = 8 input(s) provided
- Calculate Required belt speedRequired belt speed = max(0.1, requiredSpeed)1.03 = 1.03
- Calculate Motor powerMotor power = (totalForce * beltSpeed) / (1000 * driveEfficiency)1.8 = 1.8
- Calculate Motor powerMotor power = motorPowerKw * 1.3412.5 = 2.5
- Calculate Cross-section areaCross-section area = areaBase + areaSurcharge0.0899 = 0.0899
Figures and sources
- Troughed-belt cross-sectional area, effective tension, and motor power formulas (CEMA method) (2020) — Conveyor Equipment Manufacturers Association (CEMA), Belt Conveyors for Bulk Materials, 7th ed. (2nd printing, Aug. 2020)
Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
How does the calculator turn belt width into a material cross-sectional area?
It first subtracts a fixed 0.11 m edge margin from your belt width to get an effective width, then splits the material cross-section into two pieces: a troughed-section area driven by your trough angle, and a surcharge-pile area on top of that, assuming a fixed 20° surcharge angle typical for most bulk solids. The two areas are added together, then combined with belt speed and bulk density to size the belt for your target throughput.
Why does the "effective throughput" output come out lower than what I entered?
Above about 18°, bulk materials tend to slide back down a troughed belt instead of riding up with it, so the calculator applies a capacity-reduction factor to any incline angle you set — up to a 30% cut as the angle approaches that limit. Effective throughput is your design throughput scaled by that factor, so if it's noticeably below your target, you'll need to reduce the incline or increase belt width to compensate.
What two forces make up total effective tension?
Horizontal friction force accounts for both the belt's own estimated weight (traveling twice — once on each side of the loop) and the material load, scaled by your friction factor; lift force is added on top only when the conveyor is inclined, computed from the material's weight times the sine of the incline angle. The two are summed to get totalForce, which then drives motor power.
How is belt mass per meter estimated if I don't know my belt's actual weight?
The calculator uses beltMassPerMeter = beltWidthM × 12, a rough estimate of roughly 12 kg per meter of belt width based on typical multi-ply fabric belting. It's meant for preliminary motor sizing — swap in your specific belt manufacturer's published linear weight once you've selected a belt for a more accurate power figure.
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