A support system for an airfoil piece in a gas turbine engine includes first and second support platforms for supporting the airfoil piece there between. Each of the support platforms defines a forward support platform side, an aft support platform side, a first support platform circumferential side, a second support platform circumferential side, an airfoil side, and a non-airfoil side. The airfoil side of at least one of the support platforms has a radial channel therein for receiving a complementary radial flange of the airfoil piece. Each radial channel includes a radial channel first leg portion extending adjacent the aft support platform side, a radial channel second leg portion that extends from the radial channel first leg portion and that curves toward the forward support platform side, and a radial channel third leg portion that extends from the second leg portion toward the forward support platform side.