Experiment 11Gearing

Involute Curve

Forming of gear

http://www.mech.uwa.edu.au/DANotes/gears/meshing/meshing.html#top

Nomenclature and definitionsDiameter pitch, teeth per lengthNumber of teeth Pitch diameterModuleCircular pitchAlso called base circle

Pressure angle

Example 1A gear set consists of a 16 tooth pinion driving a 40 tooth gear. The module is 1. the gear are cut using a pressure angle of 20o.Compute the circular pitch, the center distance, and the radii of the base circles.In mounting these gears, the center distance was incorrectly made 2 mm larger. Compute the new values of the pressure angle and pitch-circle diameters.

Sol.Circular pitch pitch diameter of pinion and gear

Gear train

Force analysis

Wt

Strength of Gear Teeth

Lewis form factor

AGMA Stress Equations

Reprinted with the permission of E. I. DuPont de Nemours and Co.; see Ref. 8.Geometric Factor YJ(J)

Surface strength geometric factor ZI(I)

Elastic coefficient ZEmN=1, For spur gearSpeed ratio

Dynamic coefficient Kv

Over load factor

Example 2

A steel 20o spur pinion with 20 teeth and a module of 2.5 mm transmits 120 W to a 36 tooth gear. The pinion speed is 100 rpm, the gears are grade 1, 18 mm face width, manufactured to a No. 6 quality standard, and considered to be of open gearing quality installation. Find the AGMA bending and contact stresses and corresponding factors of safety. The allowable strength of the gear tooth is 654Mpa. Contact strength is 1260MPa.

Sol.

ExperimentRotating speed 1750 rpm, and power 2.5 kW

The structure of a simple transmission is shown in previous slide. If the power transfer to lay shaft is 2.5kW at 1750 rpm. The gear and the pinion is made by a material of allowable bending strength 650 Mpa, the allowable contact strength is 1200MPa. If the two reduction ratio 0.75 and 0.5 are required, please select the proper pinion and gear for this system.