Soderberg Theory
What is the Soderberg theory?
Expand Hint
The Soderberg theory is a method for predicting the fatigue failure of a material under cyclic loading.
Hint 2
In order to predict failure via the Soderberg theory, the material’s endurance limit and yield strength must be known.
The Soderberg theory is a method for predicting the fatigue failure of a material under cyclic loading. It states that fatigue failure will occur whenever
$$$\frac{\sigma_a}{S_e}+\frac{\sigma_m}{S_{y}}\geq 1$$$
if
$$\sigma_m \geq 0$$
where:
- $$S_e$$ is the endurance limit (the max load level where a material can be cycled indefinitely without failure).
- $$S_y$$ is the yield strength (the max load a material can withstand without deforming).
- $$\sigma_a$$ is the alternating stress (subtracting the max and min stress levels and dividing by 2)
- $$\sigma_m$$ is the mean stress (adding the max and min stress levels and dividing by 2)
The Soderberg theory is a more conservative method for predicting fatigue failure than the modified Goodman theory because it takes into account the material’s yield strength rather than the ultimate strength.
The Soderberg theory is a method for predicting the fatigue failure of a material under cyclic loading. It states that fatigue failure will occur whenever
$$$\frac{\sigma_a}{S_e}+\frac{\sigma_m}{S_{y}}\geq 1$$$
Time Analysis
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