Page 303 - Introduction to Continuum Mechanics
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The Elastic Solid 287
That is, the resultant of the distribution of normal stresses must be a couple. Let the moment
of this couple per unit width be M as shown in Fig. 5.17, then
i.e.,
In view of Eqs. (5.19.2), Eq. (5.19.4) can also be written as [see Prob. 5.80]
Equations (5.19.2a) (5.19.2b) and (5.19.4) are three equations for the three constants A,B
and C. We obtain,
where
Thus
5.20 Stress Concentration due to a Small Circular Hole in a Plate under Tension
Fig. 5.18 shows a plate with a small circular hole of radius a subjected to the actions of
uniform tensile stress of magnitude a on the faces perpendicular to the x direction. Let us
