Question

If the design of a gear set, with module "m" of 4 mm and face‐width of 1 cm, indicates that an allowable stress of 60 MPa is needed, what is the factor of safety if the gears material strength is 95 MPa?

a) 1.58
b) 1.6
c) 1.8
d) 2.08

Answer 1

The factor of safety for the gear set is 1.58

Step-by-step explanation:

To calculate the factor of safety, we need to compare the material strength to the allowable stress. The material strength is given as 95 MPa and the allowable stress is given as 60 MPa. The factor of safety is the ratio of the material strength to the allowable stress. So, the factor of safety is 95 MPa / 60 MPa = 1.58. Therefore, the correct answer is option a) 1.58.