V-belt Drive | Online Calculator

Drives Calculators







V-belt Drive

V-belts are used in machine drives, industrial plants, and transport equipment. V-belts can be used with large gear ratios, V-belt drives are smaller than flat-belt drives and can generate large traction forces without belt slippage.

Below, you can calculate the two-pulley V-belt drive. To perform the calculations, it is necessary to set the rotational speed of the drive pulley n, power P, and gear ratio i. It is also necessary to select the belt types, classified by their dimensions from A to E. Based on the results of the calculation, the dimensions of the drive, number of belts providing the specified characteristics, shaft loads and durability of the drive are determined.

V-belt Drives
Calculation of V-belt Drives

INITIAL DATA

n - Drive pulley speed;


P - Drive power;


i - Gear ratio.

RESULTS DATA

T - Torque;


d1 - Driving pulley diameter;


d2 - Driven pulley diameter;


an - Nominal center distance, calculated according to the available belt length;


α1 - The angle of the belt wrap around the smaller pulley;


L - Total belt length;


W - Belt linear speed;


z - Number of belts to provide drive power;


F0 - Belt pretension;


Fв - Loads on the shafts;


H0 - Life time of the belt.

Drive pulley speed (n)

Drive power (P)

Gear ratio (i)

Belt type A

Belt type B

Belt type С

Belt type D

Belt type Е

Torque (Т)

Driving pulley diameter (d1)

Driven pulley diameter (d2)

Center distance (аn)

Belt girth angle (α)

Belt length (L)

Linear speed (w)

Number of belts (z)

Belt pretension (F0)

Shaft loads (Fв)

Life time (H0)

BASIC FORMULAS

Torque:

T = 30P / πn;

Driving pulley diameter:

d1 = 40T 1/3, but no less than 90 mm for A; 125 mm for B; 200 mm for C; 315 mm for D; and 500 mm for E belt type;

Center distance:

an = 1,5(d1 + d2);

Belt length:

L = 2a + 0,5π(d2 + d1) + (d2 - d1)2 / 4a;

Number of belts:

Z = P1*CP / P0CLCαCk ;
CP, CL, Cα , Ck - coefficients depending on belt girth angle, belt length and belt type;
P1 - nominal power, transmitted by one belt.

Linear speed:

w = d1*π*n / 60;

Life time:

H0 = N0c*(L / 60πd1 f )*(σ-1 / σmax)8×Ci.
N0c = 470 000 - base number of load cycles;
Ci = 1.5*i1/3 - 0.5 - Coefficient of gear ratio;
σmax - maximum stress in the belt.

INITIAL DATA

n - Drive pulley speed;


P - Drive power;


d1 - Driving pulley diameter;


i - Gear ratio.

RESULTS DATA

T - Torque;


d1 - Driving pulley diameter. Recommended diameter based on the power and speed of the drive;


d2 - Driven pulley diameter;


an - Nominal center distance, calculated according to the available belt length;


α1 - The angle of the belt wrap around the smaller pulley;


L - Total belt length;


W - Belt linear speed;


z - Number of belts to provide drive power;


F0 - Belt pretension;


Fв - Loads on the shafts;


H0 - Life time of the belt.

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