180 degrees each of noses 14 is attached to first wing 12 and second wing 12 u2032 longitudinal line 42 defines single wire membrane 11 and leg 31 of double wire membrane 30 extending from single wire membrane 11 in a continuous manner single wire membrane 11 and leg 31 are separated by angle u03b2 angle u03b2 is approximately 90 degrees longitudinal line 43 defines leg 31 of double wire membrane 30 and leg 31 u2032 of double wire membrane 30 leg 31 u2032 is positioned substantially parallel to leg 31 leg 31 u2032 substantially overlaps leg 31 longitudinal line 41 defines second wing 12 u2032 and leg 31 u2032 of double wire membrane 30 leg 31 u2032 extends away from second wing 12 u2032 at angle u03b1 2 angle u03b1 2 is approximately greater than 90 degrees but less than approximately 180 degrees in use the improved self aligning double wire corner bead 10 of the present disclosure is utilized in a contour like manner surrounding a structural steel member with fireproofing material referring to fig5 single wire membrane 11 is secured to structural steel member 24 first wing 12 is configured to establish a desired thickness of fireproofing material 22 along two surfaces of the structural steel member by providing a rigid screed edge to which nose 14 is attached double wire membrane 30 is secured to structural steel member 24 as will be further described below fireproofing material 22 surrounds the dimensions of the structural steel member 24 in a contour like manner tracing structural steel member 24 in all dimensions the single strip of corner bead 10 allows uniform distribution of fireproofing material 22 along three surfaces surfaces s.