A method of manufacturing a turbine blade includes (a) supporting a turbine blade internal core support at opposite ends such that radially inner and outer ends of the turbine blade remain open during casting; (b) casting the blade including the airfoil portion, wherein the radially outer edge of the airfoil portion is inclined relative to horizontal; (c) machining the radially outer edge of the airfoil portion to form a peripheral shoulder about a radially outer opening in the airfoil portion; and (d) seating a tip cap on the peripheral shoulder and fixing the tip cap to the airfoil portion of the blade.