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Calcimator

Conveyor Belt Tension Calculator

Belt tension from load, friction, and system geometry.

Inputs

ft
ft
t/hr
m/s
mm
°
N/mm
ft

Results

Effective tension (Te)

1,467 N

Tight-side tension (T1)

2,029 N

Slack-side tension (T2)563 N
Minimum sag tension4,794 N
Governing tension4,794 N
Wrap factor (Cw)1.38
Belt safety factor133.51
Gravity takeup weight977 kg
Material load55.6 kg/m
How to Use This Calculator
  1. Enter the belt length and conveyor incline angle.
  2. Set the material load in pounds per foot and belt weight.
  3. Input drive efficiency and friction coefficient.
  4. Review effective belt tension (Te), maximum belt tension (T1), and slack-side tension (T2).
  5. Use maximum belt tension to verify belt rating is adequate for the application.

How the result changes with Conveyor length

Conveyor lengthEffective tension (Te)Tight-side tension (T1)
1,00114,682 N20,314 N
3,50151,349 N71,048 N
6,50095,336 N131,908 N
9,000132,003 N182,642 N

What each input means

Conveyor length
Center-to-center pulley distance.
Lift height (+/−)
Vertical rise (positive) or decline (negative).
Throughput
Material flow rate in metric tonnes per hour.
Belt speed
Belt linear velocity.
Belt width
Belt width in millimeters.
Friction factor (f)
CEMA artificial friction factor.
Drive wrap angle
Total belt wrap on drive pulley(s). Single = 180–210°, dual = 360–420°.
Belt rating
Belt tensile strength rating per mm of width.
Carrying idler spacing
Distance between carrying idler sets.

What each result means

Effective tension (Te)
Net force the drive must transmit to move the belt.
Tight-side tension (T1)
Maximum tension on the belt at the drive pulley.
Slack-side tension (T2)
Tension on the return side of the drive pulley.
Minimum sag tension
Minimum tension to limit belt sag to 2% of idler spacing.
Governing tension
Highest tension the belt must withstand (max of T1 and sag tension).
Wrap factor (Cw)
Drive traction multiplier from Euler belt friction equation.
Belt safety factor
Ratio of belt rated strength to governing tension. Target ≥ 6.7 for typical applications.
Gravity takeup weight
Counterweight mass needed for gravity takeup system.
Material load
Linear material mass along the belt.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Conveyor length = 100, Lift height (+/−) = 0, Throughput = 500, Belt speed = 2.5 = 9 input(s) provided
  2. Calculate Effective tension
    Effective tension = frictionResistance + gravityComponent
    1467 = 1467
  3. Calculate Tight-side tension
    Tight-side tension = abs(effectiveTension) * wrapFactor
    2029 = 2029
  4. Calculate Slack-side tension
    Slack-side tension = Math
    563 = 563
  5. Calculate Minimum sag tension
    Minimum sag tension = ((materialPerMeter + beltMassPerMeter) * g * idlerSpacing) /
    4794 = 4794

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