It is known that the metal elongation is 3%. If it is a cold-rolled steel plate, how to calculate the maximum reduction and deformation pass?

In order to calculate the maximum reduction and deformation pass of metal plate during cold rolling, the following factors need to be considered:

The initial size and final size of the plate;

Cold rolling reduction rate;

Elongation of plate.

According to the known conditions in the title, the elongation of metal is 3%. This means that if a piece of metal with a length of 100mm is stretched, it can be stretched by 3 mm During cold rolling, the elongation of metal may change, but it can be assumed to be constant.

Assuming that the initial size of the plate is L0, the final size is L 1 and the cold rolling reduction rate is r, the maximum reduction can be calculated by the following formula:

Maximum reduction = (1-r) × (L0-L 1)

Deformation pass refers to the number of times that a plate can reach the required size after cold rolling. Assuming that the reduction of each cold rolling is H, the number of deformation passes can be calculated by the following formula:

Deformation process = logarithm (l0/l 1)/ logarithm (1-r)

Where log represents the logarithm with the base of 10.