Normal Reaction between Belt and Sides of Groove Calculator

Calculate Normal Reaction





Formula

The formula to calculate the Normal Reaction between Belt and Sides of Groove is:

\[ R_n = \frac{R}{2 \cdot \sin\left(\frac{\beta}{2}\right)} \]

Where:

Definition

Normal reaction between belt and sides of groove is the component of contact force normal to the surfaces in contact.

Example Calculation

Let's assume the following values:

Using the formula:

\[ R_n = \frac{15}{2 \cdot \sin\left(\frac{0.52}{2}\right)} \]

Evaluating:

\[ R_n = 29.1737354101614 \text{ N} \]

The Normal Reaction between Belt and Sides of Groove is 29.1737354101614 N.

Conversion Chart

Total Reaction in Plane of Groove (N) Angle of Groove (rad) Normal Reaction (N)
10 0.52 19.449156940108
11 0.52 21.394072634118
12 0.52 23.338988328129
13 0.52 25.283904022140
14 0.52 27.228819716151
15 0.52 29.173735410161
16 0.52 31.118651104172
17 0.52 33.063566798183
18 0.52 35.008482492194
19 0.52 36.953398186204
20 0.52 38.898313880215