Based on the relationship between the stress intensity factor and the plastic zone size at the crack tip, an experimental method for the evaluation of the stress intensity factor for a part-through thickness crack is proposed. Approximating the geometrical shape of the crack to a semi-elliptical surface crack, an empirical K-expression for the surface crack in a plate under bend loading configuration is derived and verified experimentally where the new K-expression contains both crack depth and length as a crack tip singularity parameter. The experimental work makes use of newly developed etching techniques to reveal the plastic zone size in deformed A533B pressure vessel steel.