The ratios are the same in the regime where stress and strain are linearly related (ie, by Hooke’s law).Mykhalo P said:Also, my textbook says factor of safety can also be calculated by stress (fail)/ stress (allow). Are the two ratios the same? Why?
A factor of safety is a measure of how much stronger a structure or material is than is required for its intended use. It is important in engineering because it ensures that the structure or material can withstand unexpected or excessive loads or stresses without failing.
The factor of safety is calculated by dividing the ultimate strength of a material by the maximum stress or load it is expected to experience. The resulting value represents how many times stronger the material is than is needed for its intended use.
In general, a higher factor of safety means that the load/stress linearity is more linear. This is because a higher factor of safety indicates that the material can withstand a greater load or stress without deviating from a linear relationship.
No, the appropriate factor of safety varies depending on the specific design and application. Factors such as the consequences of failure, level of uncertainty in load predictions, and the consequences of exceeding the factor of safety must be considered when determining the appropriate value.
Yes, a factor of safety that is too high can result in an overly conservative and potentially costly design. It is important to balance safety with practicality and cost when determining the appropriate factor of safety for a design.