23. A strain rosette consisting of three strain gages was used to measure the strains at a point m a thin-walled plate. The measured strains in the three gages are = 0.01, eB = -0.0006, and

£c = 0.0007. Note that Gage C is at 45° with respect to x-axis. Assume the plane stress snue.

(a) Determine the complete state of strains and stresses (all six components) at that point.

Assume E = 70GPa, and v = 0.3.

(b) What are the principal strains and their directions?

(c) What are the principal stresses and their directions?

(d) Show that the principal strains and stresses satisfy the stress-strain relations.