# 1-18 - CHAP 1 Stress-Strain Analysis 45 18 Strain at a...

This preview shows page 1. Sign up to view the full content.

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 n 1 = i + j and n 2 = i + j are 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 3 0 6 0 [ ] 6 0 0 10 0 0 1     In order to show a direction n is a principal direction, it is enough to show that [] nn . After normalizing n 1 and n 2 , 33 11 0 6 0 1 6 10 10 [ ] 6 0 0 1 6 22 0 0 1 0 0                                                0 6 0 1 6 10 10 [ ] 6 0 0 1 6 0 0 1 0 0    
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Ask a homework question - tutors are online