A method is defined for attaching mounted parts on a mounting substrate formed of concrete or masonry, having a group of anchors wherein the following is true for the ratio VSd/NSd of the rated value for the transverse load VSd and of the rated value of the tensile load NSd of at least one anchor in the anchor group: VSd/NSd≥0.3, preferably VSd/NSd≥0.6 and particularly preferably VSd/NSd≥1.0, and wherein the characteristic resistances of these anchors to transverse loading VRk or to tensile loading NRk satisfy the following relationship: VRk/NRk≤1.1. The at least one anchor of the anchor group is inclined at an angle αAnker to the perpendicular to the surface of the mounting substrate in such a manner that the following is true: αAnker=k*¾*arc tan (VSd/NSd) for NSd>0, and αAnker=k*67.5° for NSd=0, where: 0.8≤k≤1.34, providing that αAnker≤75°.