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belt
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Calculation of
power transmission flat belts
Required dataPMPower to be transmitted, motor power [W; kW]d1Diameter of driving pulley [mm]n1Number of revolutions of driving pulley [1/min]d2Diameter of driven pulley [mm]n2Number of revolutions of driven pulley [1/min]eCenter distance [mm] Operation conditionsDriving motorDriven machine
Transmission ratio, number of revolutionsV1, V2 = 0.262 X n1 X d1 = 0.262 X n2 X d2
Belt type Belt width B Initial tension Belt length L Shaft load 2T0Data to be determined
Belt strand tensile forces StaticDynamic
Peripheral force FUPMMotor power [W]F1Force in the tight side [N] F2Force in the slack side [N] F2Force in the slack side [N] vBelt speed [m/s]c2Service factor [-]The peripheral force FU has to be transmitted without slip!
Tensile forces in frictionally engaged drivesEquation of Eytelwein
Important parameters for power transmissionArc of contact (on small pulley)
Coefficient of static friction between belt and pulley Surface pressure belt/pulley tensile forces F1 and F2 initial tension oNote: The pulley diameter has no direct influence on the power transmission capability!
Influence of m and b
the formula for the calculation of the forces in the tight side F1 and in the slack side F2 can be derived:Calculation of tensile forces F1 and F2
Tension due to bending (eb)d=pulley diameter [mm]dP=thickness of the traction layer [mm]
Tension due to centrifugal force (ec)
Superposition of tensions in the beltemax= e1 + ebs + ec eadm
e1= eadm - ebs - ec
Initial tension oCorrect installing of a flat belt by using the initial tension o(Example: o = 2.0 %)1Tension in the tight side [%]2Tension in the slack side [%]1Tension due to centrifugal force [%]
Belt length lg, take-up x * for belt drives whitout tak-up device
Note: 4 values are necessary for a completely determined flat belt Example:1. Belt typeM-1500A2. Belt width bo240 mm3. Initial tension eo2.0 %4. Belt length lg3500 mmAdditionally the shaft load can be determined.
Static shaft load FWs
Dynamic shaft load FWd
Well be glad to calculate a belt for youWe just need a few pieces of information:Power belt must transmit (HP or KW)RPM of driver pulley (or, driven pulley rpm, or belt speed)Diameters and widths of both pulleysCenter distance between the pulleysWhat type of applicationAny tough conditions (shock loads, oil, water, dusty conditions, etc.)Without this information, we really can only shoot in the dark!