CHAP 1 Stress-Strain Analysis 45 18. Strain at a point is such that xx= yy= 0, zz= 0.001, xy= 0.006, and xz= yz= 0. Note: You need not solve the eigen value problem for this question. (a) Show that n1= i+ jand n2= i+ jare principal directions of strain at this point. (b) What is the third principal direction? (c) Compute the three principal strains. Solution: (a) The strain matrix is 30 60[ ]6 00100 01In order to show a direction nis a principal direction, it is enough to show thatnn. After normalizing n1and n2, 33110 60161010[ ]6 0016220 0100 0 60161010[ ]6 00160 0100
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