# 1-13 - CHAP 1 Stress-Strain Analysis 37 13 Consider the...

This preview shows pages 1–2. Sign up to view the full content.

CHAP 1 Stress-Strain Analysis 37 13. Consider the following displacement field in a plane solid: ( , ) 0.04 0.01 0.006 ( , ) 0.06 0.009 0.012 u x y x y v x y x y (a) Compute the strain components xx , yy , and xy . Is this a state of uniform strain? (b) Determine the principal strains and their corresponding directions. Express the principal strain directions in terms of angles the directions make with the x -axis. (c) What is the normal strain at Point O in a direction 45 o to the x -axis? Solution: (a) Strain components: 0.01 xx u x   0.012 yy v y 0.009 0.006 0.015 xy v u x y Yes, this is a state of uniform strain, because the strains are independent of position x,y,z . (b) Principal strains and principal directions. 1 0.0075 2 xy xy 0.01 0.0075 0.0075 0.012 xx xy xy yy

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern