Tension in Tight Side of Rope Drive Calculator

Calculate Tension in Tight Side of Rope Drive









Formula

The formula to calculate the Tension in Tight Side of Belt is:

\[ T_{1} = T_{2} \cdot e^{\mu_{b} \cdot \theta_{contact} \cdot \csc\left(\frac{\beta}{2}\right)} \]

Definition

Tension in tight side of belt is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object. Tension in slack side of belt is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object. Coefficient of friction b/w belt & sides of groove is the ratio defining the force that resists the motion of one body in relation to another body in contact with it. The angle of contact is the angle subtended by the belt on the pulley. Angle of groove is shown in degrees and will include all of the groove, if it is a V Groove it will be a dimension from one groove face to the other.

Example Calculation

Let's assume the following values:

Using the formula:

\[ T_{1} = 11 \cdot e^{0.3 \cdot 0.17 \cdot \csc\left(\frac{0.52}{2}\right)} = 13.4137013528203 \]

Conversion Chart

Tension in Slack Side of Belt (T2) Coefficient of Friction b/w Belt & Sides of Groove (μb) Angle of Contact (θcontact) Angle of Groove (β) Tension in Tight Side of Belt (T1)
10 0.3 0.17 0.52 12.194273957109335
11 0.3 0.17 0.52 13.413701352820267
12 0.3 0.17 0.52 14.633128748531201
13 0.3 0.17 0.52 15.852556144242135
14 0.3 0.17 0.52 17.071983539953067
15 0.3 0.17 0.52 18.291410935664000