Table 4: Fatigue data of a ductile cast iron Stress Amplitude Cycles to Failure 1X 105 (MPa) 248 236 3 X 105 224 1X 106 213 ЗX 106 201 1X 107 ЗX 107 1X 108 3 X 10 193 193 193 a) Make an S-N plot (stress amplitude versus logarithm cycles to failure). b) What is the fatigue limit for this alloy?

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A: Solution:

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.