Question

A cast steel pinion (σo = 120 MNm^-2, σ2) rotating at 315 rpm drives a cast steel gear of a different grade (σo = 135 MNm^-2, σ2) at a velocity ratio of 3.0 to 1. The pinion has 24 teeth, a module of 6 mm, and a pressure angle of 20°. Given all the previous calculations, is the dynamic load less than the allowable endurance load?

Answer 1

To determine if the dynamic load is less than the allowable endurance load, we need to compare the stress on the gear and pinion to their respective yield strengths.

Step-by-step explanation:

The dynamic load is the load that the gear and pinion experience while in motion. The allowable endurance load, on the other hand, is the maximum load that the gear and pinion can withstand without failure over a long period of time.

To determine if the dynamic load is less than the allowable endurance load, we need to compare the stress on the gear and pinion to their respective yield strengths. The stress can be calculated using the formula σ = T / (m × d × h), where T is the torque, m is the module, d is the pitch diameter, and h is the height of the tooth.

Once the stress is calculated, we compare it to the yield strength of the material. If the stress is less than the yield strength, then the dynamic load is less than the allowable endurance load.