Step 1: Understanding Fatigue Loading and Endurance Limit
Fatigue loading refers to the repetitive application of stress or strain that can lead to failure at stress levels lower than the material’s yield strength under static conditions.
Step 2: Definition of Endurance Limit
The endurance limit (or fatigue limit) is the maximum stress level a material can endure for an infinite number of cycles without failure. For most ductile materials, it is typically \(\frac{1}{2}\) of the Ultimate Tensile Strength (UTS).
Step 3: Ratio of UTS to Endurance Limit
\[
\text{Ratio} = \frac{\text{Ultimate Tensile Strength}}{\text{Endurance Limit}} = \frac{\text{UTS}}{0.5 \cdot \text{UTS}} = 2
\]