Wrap angle

Wrap angle ${\displaystyle \alpha }$

The wrap angle indicates the contact area in degrees in which one flexible component encloses another, e.g. B. V-belt on a pulley, chain link on a pinion or transport roller of a conveyor belt .

In general, a larger wrap angle allows greater power transmission.

Calculation example of a belt drive

Belt drive with 2 pulleys

Consider a belt drive with two belt pulleys. The belt forms the tangents to both pulleys. The following relationship can be derived using simple trigonometry :

${\displaystyle \alpha _{1}=2\cdot \arccos \left({\frac {r_{2}-r_{1}}{a}}\right)}$.

It is the wrapping angle of the smaller gear, the radius of the smaller gear, the radius of the larger wheel and the center distance between the two waves. Furthermore applies ${\displaystyle \alpha _{1}}$ ${\displaystyle r_{1}}$ ${\displaystyle r_{2}}$ ${\displaystyle a}$

${\displaystyle \alpha _{1}+\alpha _{2}=360^{\circ }}$

engine

See also

• Euler-Eytelwein formula
• Belt drive
• Pulley

swell

• Traction drive. In: Waldemar Steinhilper (Hrsg.), Bernd Sauer (Hrsg.): Construction elements of mechanical engineering 2: Fundamentals of machine elements for drive tasks. 6th edition. Springer 2008, ISBN 978-3-540-76653-7 , pp. 571-636. ( Excerpt in the Google book search)
• Traction mechanism In: Machinelenelemente III - Lecture of the University of Siegen .
• Title: Book of tables for metalworking: Publisher: Friedrich Technical and table books: Edition number 1011: Year of publication and place: Lage (Lippe), April 1965, Hermannstraße 37: Page 43