Screw Conveyor Calculator
Screw diameter and speed from volumetric capacity.
About this calculator
This calculator sizes a screw conveyor using the method laid out in ANSI/CEMA Standard No. 350, Screw Conveyors for Bulk Materials — the industry engineering standard published by the Conveyor Equipment Manufacturers Association. It starts from the geometry of one screw revolution — cross-sectional area (π/4 × D²) times pitch times the trough fill fraction — to get the volume of material moved per turn, then works backward from your target throughput to find the RPM needed to deliver it. That required RPM is checked against a CEMA-style speed ceiling (roughly 60/√(diameter in inches / 12)) because spinning a screw too fast increases material degradation and wear rather than useful capacity; if the required speed exceeds the ceiling, the calculator caps it and reports the reduced throughput you'd actually get.
An incline penalty is layered on next: capacity falls off quickly as the trough tilts, modeled here as a quadratic reduction that floors out at 25% of capacity retained by 45° — a 75% loss. Power is estimated as two separate components per CEMA 350 — friction power (driven by length, RPM, a diameter-based screw factor that scales with bore size, and a hanger-bearing factor held fixed at 1.0 for a standard bearing configuration) and material power (moving the load horizontally plus lifting it against gravity on an incline) — summed and divided by your drive efficiency, then converted to torque at the operating RPM. Two things worth knowing: the material factor is fixed at 1.0 here (free-flowing material), so abrasive or sticky materials will need more power than shown, and standard pitch means pitch equals diameter — short-pitch designs (0.67) move less material per revolution but handle inclines and vertical lift better.
Inputs
Results
Operating RPM
60 RPM
Actual throughput
18.32 t/hr
Figures current as of 2021. Source: Conveyor Equipment Manufacturers Association (CEMA), ANSI/CEMA 350-2021, Screw Conveyors for Bulk Materials
How to Use This Calculator
- Enter the required material throughput in cubic feet per hour or tons per hour.
- Set screw diameter, pitch, and RPM.
- Input material bulk density and trough fill percentage.
- Review actual capacity, required horsepower, and shaft torque.
- Use the HP and torque values to select motor, gearbox, and coupling specifications.
How the result changes with Screw diameter
| Screw diameter | Operating RPM | Actual throughput |
|---|---|---|
| 150 | 86 RPM | 3.28 t/hr |
| 225 | 70 RPM | 9.02 t/hr |
| 450 | 48.5 RPM | 50 t/hr |
| 750 | 10.5 RPM | 50 t/hr |
What each input means
- Design throughput
- Required material flow rate in tonnes per hour.
- Screw diameter
- Standard sizes: 150, 200, 250, 300, 400, 500, 600, 750, 900 mm.
- Bulk density
- Material bulk density. Grain ~750, cement ~1500, sand ~1600 kg/m³.
- Conveyor length
- Total screw conveyor length. Max ~40m with intermediate bearings.
- Trough fill level
- CEMA Class I (15%), Class II (30%), Class III (45%).
- Pitch ratio (pitch/D)
- Standard pitch = 1.0 (pitch equals diameter). Short pitch = 0.67.
- Incline angle
- Angle from horizontal. Capacity drops significantly above 15°.
- Drive efficiency
- Motor and gearbox combined efficiency.
What each result means
- Operating RPM
- Screw speed (capped at CEMA max recommended RPM).
- Required RPM (uncapped)
- RPM needed for full throughput (may exceed CEMA limit).
- CEMA max RPM
- Maximum recommended screw speed per CEMA standards.
- Actual throughput
- Achievable throughput at operating RPM with incline reduction.
- Volumetric capacity
- Volume of material conveyed per hour.
- Incline capacity factor
- Capacity retained due to incline (100% = horizontal).
- Motor power
- Total required motor power including friction and material lift.
- Motor power
- Motor power in horsepower.
- Shaft torque
- Torque at the screw shaft for coupling and bearing selection.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersDesign throughput = 50, Screw diameter = 300, Bulk density = 800, Conveyor length = 6 = 8 input(s) provided
- Calculate Operating RPMOperating RPM = min(requiredRpm, maxRpm)60 = 60
- Calculate Actual throughputActual throughput = actualMassCapacity * inclineReduction18.32 = 18.32
- Calculate Required RPMRequired RPM = throughput / (volPerRev * 60 * bulkDensityT)163.7 = 163.7
- Calculate CEMA max RPMCEMA max RPM = round(60 / sqrt(diameterInches / 12))60 = 60
Figures and sources
- CEMA Standard No. 350 — Screw Conveyors for Bulk Materials (capacity, speed, and power sizing method) (2021) — Conveyor Equipment Manufacturers Association (CEMA), ANSI/CEMA 350-2021, Screw Conveyors for Bulk Materials
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
Why does the calculator show a lower throughput than what I entered?
The engine first solves for the RPM required to hit your target throughput, then compares that against a CEMA speed ceiling of roughly 60/√(diameter in inches / 12) for your screw diameter, following the maximum recommended speed guidance in ANSI/CEMA Standard No. 350. If the required RPM exceeds that ceiling, the calculator caps the speed there instead of letting it run faster, then reports the actual (lower) throughput you'd get at the capped speed — spinning a screw past its recommended limit accelerates wear and material degradation without adding much real capacity.
How much capacity do I lose by inclining the conveyor?
The engine applies a quadratic reduction factor, 1 − 0.015 × angle − 0.0003 × angle², floored at 0.25 so capacity never drops below 25% of horizontal. That means loss accelerates as the angle climbs: a modest 10° incline only costs a small fraction of throughput, but by 45° you're retaining just the floor value — a 75% loss — which is why steep incline runs are usually redesigned as steeper, shorter screws or replaced with bucket elevators.
Why does increasing the screw diameter also increase the required motor power?
The friction-power term uses a screw diameter factor, Fd = 20 + 0.2 × diameter (mm), that grows linearly with bore size, so a bigger screw carries more inherent friction load even before you factor in material weight. Combined with the fact that a larger diameter also lets you run fewer RPM for the same throughput, the net power change depends on both effects together — this calculator's power output already accounts for that trade-off for your specific inputs.
Does the power result account for abrasive or sticky materials?
No — the material factor Ff is fixed at 1.0 in this calculator, which represents a free-flowing material like grain or dry sand. Abrasive materials (like sand with sharp particles) or sticky, high-friction materials can require Ff values up to roughly 4.0 in the full CEMA 350 method, so the motor power and torque shown here should be treated as a minimum for anything other than free-flowing material.
What's the practical difference between standard pitch and short pitch?
Pitch ratio sets pitch as a multiple of screw diameter — 1.0 is standard pitch (pitch equals diameter) and 0.67 is short pitch. Since volume moved per revolution scales directly with pitch, a short-pitch screw moves less material per turn at the same RPM, but the tighter helix gives better control of material on inclines and in vertical or near-vertical applications where standard pitch would let material slip backward between flights.
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