The S/6.7 LLDF is from LRFD Table 4.6.2.2.2a-1. For commentary on the conversion factor Cfk, see LRFD C8.4.1 (bizarrely, LRFD brews its "own" allowable stresses before using Cfk to revert to NDS' allowables). To check moment and shear, just do it from scratch with a pencil. For deflection...