Question

Calculate the factor of safety against bending failure of a gear with a given tooth bending stress of 117MPa and a corrected bending strength of 354MPa.

Answer 1

3

Step-by-step explanation:

Bending stress = 117 MPa

Yield stress = 354 MPa

Factor of safety is defined as the ratio of yield stress to the allowable stress (tensile, compressive or bending) of a given material

`FS= \frac{\text{Yield stress}}{\text{Allowable stress}}\\\Rightarrow FS=(354)/(117)\\\Rightarrow FS=3.025`

So, factor of safety is almost equal to 3.