High-strength air-hardening multiphase steel having excellent processing properties, and method for manufacturing a strip of said steel

A high-strength air-hardenable multiphase steel having minimal tensile strengths in a non air hardened state of 750 MPa and excellent processing properties, said steel comprising the following elements in % by weight: C≥0.075 to ≤0.115; Si≥0.200 to ≤0.300; Mn≥1.700 to ≤2.300; Cr≥0.280 to ≤0.4800; Al≥0.020 to ≤0.060; N≥0.0020 to ≤0.0120; S≤0.0050; Nb≥0.005 to ≤0.050; Ti≥0.005 to ≤0.050; B≥0.0005 to ≤0.0060; Ca≥0.0005 to ≤0.0060; Cu≤0.050; Ni≤0.050; remainder iron, including usual steel accompanying smelting related impurities, wherein for a widest possible process window during continuous annealing of hot rolled or cold rolled strips made from the steel a sum content of M+Si+Cr in the steel is a function of a thickness of the steel strips according to the following relationship: for strip thicknesses of up to 1.00 mm the sum content of M+Si+Cr is ≥2.350 and ≤2.500%, for strip thicknesses of over 1.00 to 2.00 mm the sum of Mn+Si+Cr is ≥2.500 and ≤2.950%, and for strip thicknesses of over 2.00 mm the sum of Mn+Si+Cr is ≥2.950 and ≤3.250%.