THE MAXIMUM-NORMAL-STRESS THEORY
This theory is presented only for its historical interest. Its predictions do not agree with experiment and, in fact, often give results on the unsafe side.
The maximum-normal-stress theory states that the failure occurs whenever the largest principle stress equals the strength.
Suppose we arrange the three principle stresses for any stress state in the form:
σ1> σ2> σ3
Then if yielding is the criterion of failure, this theory predicts that the failure occurs whenever
σ1= Syt Or σ3= -Syc
where Syt and Syc are the tensile and compressive yield strengths, respectively. Note that the subscripts t and c are usually dropped when two strengths are equal. If the ultimate str
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