Abstract

This chapter discusses a complex stress system, in which there exist other quantities, one of which, according to the theory adopted, may be the criterion of failure, that is, it may lead to permanent strain. The value of this quantity corresponding with the simple tensile elastic limit is then taken as the limiting value, with which the calculated actual value in a given case is then compared. The maximum principal stress theory appears to hold good for brittle materials generally, and, according to it, failure occurs when, irrespective of the values of the other principal stresses, the greatest principal stress reaches the simple elastic limit stress. The maximum shear stress theory gives a good approximation where ductile materials are concerned, and, according to it, failure occurs when the maximum shear stress equals the shear stress value corresponding with the simple tensile elastic limit.

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