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

Answer:

3

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

$FS= \frac{\text{Yield stress}}{\text{Allowable stress}}\\\Rightarrow FS=\frac{354}{117}\\\Rightarrow FS=3.025$

So, factor of safety is almost equal to 3.