Method of manufacturing a cold-rolled steel plate

A method of manufacturing a cold-rolled steel plate, wherein

• a steel slab having a chemical composition containing, on the basis of percent by mass, C from 0.03 to 0.08%, Si from 0 to 1.0%, Mn from 0.2 to 0.8%, P at 0.03% or less, S at 0.01% or less, and Al at 0.05% or less so as to satisfy the following formula (1) and at least one of Nb from 0.03 to 0.4%, V from 0.01 to 0.3%, and Ti from 0.01 to 0.3% so as to satisfy the following formula (2), the chemical composition further containing at least one of Cr from 0.10 to 2.0%, Ni from 0.05 to 0.5%, Mo from 0.05 to 0.5%, and B from 0.0002 to 0.002% so as to satisfy the following formula (3), wherein
• 5*C %−Si %+Mn %−1.5*Al %<1;
• formula (1)
• 0.04<(Nb %/1.4)+(V %/1.1)+Ti %<0.3;
• and formula (2):
• 5*C %−Si %+Mn %+1.6*Cr %+0.8*Ni %−1.5*Al %<1 is smelted, formula (3):
• the steel slab is heated to 1200° C. or more and hot rolled at a finishing temperature of 850° C. or more and 950° C. or less to form a hot-rolled steel plate,
• the hot-rolled steel plate is cooled at an average cooling rate of 20° C. per second or more from the finishing temperature to the winding temperature,
• the cooled hot-rolled steel plate is wound from 550 to 700° C. to form a hot-rolled coil, and
• as a final step or steps, the hot-rolled coil is cold rolled or the hot-rolled coil is annealed and cold rolled, forming a product, thereby obtaining cross-sectional hardness from 200 to 350 HV, an average diameter of particles of a carbide as a precipitate containing any of Nb, V, and Ti is from 20 to 100 nm, and a second phase structure having a longitudinal diameter of 5 μm or more has an area fraction of 5% or less in a cross-sectional structure.