Flat Belt Drive | Online Calculator

Drive Calculators

Flat Belt Drive

A belt drive is used for rotation transmission through the frictional interaction of the drive belt and the pulleys. Belt drive is used in drives with a maximum power of about 50 kW at a belt speed of up to 50 m/s.

The advantage of belt drives is simplicity of design, smooth operation, low requirements to the operation mode, low noise level, and low cost. The disadvantages include large overall dimensions, relatively high shaft loads, inconsistency of the gear ratio (with the exception of the toothed belt drive), and the fragility of the belt as a result of wear.

Below, you can calculate a two-pulley flat-belt drive with driving rubber-fabric belts. To perform the calculations, it is necessary to set the rotational speed of the drive pulley n, power P, gear ratio i and angle of inclination Θ of the line, connecting the centers of the drive’s shafts. Based on the results of the calculation, the dimensions of the drive, length and width of the belt, shaft loads and durability of the drive are determined.

flat belt drive
Calculation of flat belt drive

INITIAL DATA

n - Drive pulley speed;

P - Drive power;

i - Gear ratio;

θ - Angle of inclination of the belt drive.

RESULTS DATA

T - Torque;

d1 - Driving pulley diameter;

d2 - Driven pulley diameter;

a - Center distance;

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

L - Total belt length;

W - Belt linear speed;

Ft - Belt force;

F0 - Belt pretension;

F1 - Tension of the leading strand of the belt during operation;

F2 - Tension of the driven strand of the belt during operation;

b - Belt width;

σ1 - Tensile stress in the belt from the tensile force;

σb - Bending stress in the belt (calculated by the smaller pulley);

σw - Tensile stress in the belt from centrifugal force;

σmax - Total stress in the belt;

H0 - Life time of the belt;

Fв - Loads on the shafts.

Drive pulley speed (n)

Drive power (P)

Gear ratio (i)

Slope (θ)

Torque (Т)

Driving pulley diameter (d1)

Driven pulley diameter (d2)

Center distance (а)

Belt girth angle (α1)

Belt length (L)

Linear speed (w)

Belt force (Ft)

Belt pretension (F0)

Leading strand tension (F1)

Driven strand tension (F2)

Belt width (b)

Tension stress (σ1)

Bending stress (σb)

Stress (σw)

Total stress (σmax)

Life time (H0)

Shafts loads (Fs)

BASIC FORMULAS

Torque:

T = 30P / πn;

Diameter of drive pulley:

d1 = 60T 1/3;

Central distance:

a = 2(d1 + d2)

Belt length:

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

Linear speed:

w = d1*π*f/60;

Belt force:

Ft = P / w;

Belt width:

b = Ft / [p];
[p] - limited operation load;

Stress from tensile load:

σ1 = F1 / b*υ;

Bending stress:

σb = E*υ / d1;

υ = 8 mm - average calculated belt thickness

Stress from centrifugal force:

σw = ρw2;
ρ - volumetric density of the belt;

Total stress:

σmax = σ1 + σи + σw;

Life time:

H0 = σ-16*107*L / σmax6*7200*w.

σ-1 = 5MPa

INITIAL DATA

n - Drive pulley speed;

P - Drive power;

i - Gear ratio;

θ - Angle of inclination of the belt drive.

RESULTS DATA

T - Torque;

d1 - Driving pulley diameter;

d2 - Driven pulley diameter;

a - Center distance;

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

L - Total belt length;

W - Belt linear speed;

Ft - Belt force;

F0 - Belt pretension;

F1 - Tension of the leading strand of the belt during operation;

F2 - Tension of the driven strand of the belt during operation;

b - Belt width;

σ1 - Tensile stress in the belt from the tensile force;

σb - Bending stress in the belt (calculated by the smaller pulley);

σw - Tensile stress in the belt from centrifugal force;

σmax - Total stress in the belt;

H0 - Life time of the belt;

Fв - Loads on the shafts.

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