Tension in Tight Side of V Belt Drive Calculator

Formula

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

\[ T1 = T2 \cdot e^{\mu_b \cdot \theta_{contact} \cdot \csc(\beta / 2)} \]

Where:

\(T1\) is the tension in tight side of belt (N)
\(T2\) is the tension in slack side of belt (N)
\(\mu_b\) is the coefficient of friction b/w belt & sides of groove
\(\theta_{contact}\) is the angle of contact (rad)
\(\beta\) is the angle of groove (rad)

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.

Example Calculation

Let's assume the following values:

Tension in Slack Side of Belt (T2) = 11 N
Coefficient of Friction (μb) = 0.3
Angle of Contact (θcontact) = 0.17 rad
Angle of Groove (β) = 0.52 rad

Using the formula:

\[ T1 = T2 \cdot e^{\mu_b \cdot \theta_{contact} \cdot \csc(\beta / 2)} \]

Evaluating:

\[ T1 = 11 \cdot e^{0.3 \cdot 0.17 \cdot \csc(0.52 / 2)} \]

The Tension in Tight Side of V Belt Drive is 13.4137013528203 N.

Conversion Chart

Tension in Slack Side of Belt (N)	Coefficient of Friction	Angle of Contact (rad)	Angle of Groove (rad)	Tension in Tight Side of Belt (N)
10	0.3	0.17	0.52	12.194273957109
11	0.3	0.17	0.52	13.413701352820
12	0.3	0.17	0.52	14.633128748531
13	0.3	0.17	0.52	15.852556144242
14	0.3	0.17	0.52	17.071983539953
15	0.3	0.17	0.52	18.291410935664