(15%) A strain rosette, as shown in Figure 1, is bonded to the surface of a structure
before it is loaded. Gages A,B, and C measure the normal strains \epsi _(a),\epsi _(b), and \epsi _(c) in
the corresponding directions. Find the plane strains \epsi _(x),\epsi _(y), and \gamma _(xy) in terms
of \epsi _(a),\epsi _(b), and \epsi _(c).
Figure 1
Figure 2