Question: 13. Consider the following displacement field in a plane solid: u{x,y) = 0.04 - O.OLt + 0.006y v(x,y) = 0.06 + 0.009x + 0.012y (a)

13. Consider the following displacement field in a plane solid:

u{x,y) = 0.04 - O.OLt + 0.006y v(x,y) = 0.06 + 0.009x + 0.012y

(a) Compute the strain components sxv, ew,, and yJ7. 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° to the jc-axis?

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