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Calcimator

Belt Conveyor Design Calculator

Belt width, speed, and motor HP from throughput and material.

Inputs

t/hr
mm
kg/m³
ft
°
°

Results

Required belt speed

1.03 m/s

Motor power

1.8 kW

≈ 30 laptops

Motor power2.5 HP
Cross-section area0.09 m²
Volumetric capacity333.3 m³/hr
Effective throughput (incline-adjusted)500 t/hr
Material load per meter134.9 kg/m
Total effective tension1,512 N
Lift height0 m
How to Use This Calculator
  1. Enter the required material throughput in tons per hour.
  2. Set belt width in inches and conveyor incline angle in degrees.
  3. Input material bulk density and surcharge angle.
  4. Review calculated belt speed, required horsepower, and belt tension.
  5. Use the horsepower and belt width outputs to specify drive components and structure.

How the result changes with Belt width

Belt widthRequired belt speedMotor power
5702.32 m/s2 kW
1,2450.38 m/s1.7 kW
2,0550.13 m/s1.7 kW
2,7300.1 m/s1.7 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

  1. Identify Input Parameters
    4 parameters
    Design throughput = 500, Belt width = 800, Bulk density = 1500, Conveyor length = 50 = 8 input(s) provided
  2. Calculate Required belt speed
    Required belt speed = max(0.1, requiredSpeed)
    1.03 = 1.03
  3. Calculate Motor power
    Motor power = (totalForce * beltSpeed) / (1000 * driveEfficiency)
    1.8 = 1.8
  4. Calculate Motor power
    Motor power = motorPowerKw * 1.341
    2.5 = 2.5
  5. Calculate Cross-section area
    Cross-section area = areaBase + areaSurcharge
    0.0899 = 0.0899

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