If in the cold rolled annealed steel the carbon content decreases from 0.52 to 0.40 how can I keep the hardness and springiness of the steel same as desired level by heat treatment?
If you do quenching and tempering, the most obvious solution would be to decrease the tempering temperature for the steel with lower %C. If you want to do only annealing, I would suggest doing soft annealing in the case of the steel with 0.52 %C and normalizing - in the case of the steel with 0.40 %C.
Thanks Andrei Surzhenkov for your answer and time. Actually I will do quenching and tempering. If I decrease the tempering temperature for steel will I get the same hardness and springiness as the 0.52%C. is there any way to calculate decreasing temperature?
To my experience, such a selection of the tempering temperature is done on the grounds of the empirical data (mostly hardness; i.e. tempering temperature is chosen from a table or a chart by the desired hardness value). I would personally advise to start looking for such data in the ASM Handbook, vol. 4 Heat Treating (ASM International, Materials Park, 1991 or later), chapter concerning tempering. However, as the mechanical properties of a steel do not solely depend on %C, the heat treatment procedure will definitely need to be 'tuned' by you.
I should also say that lower tempering tempering may cause lower resistance to impact loads and higher susceptibility to cracking of the steel.