Alcor,

As per EN-13480 part-12, Fc will be minimum of (Rm/3; F)

and Fh will be min of (Fc; F; Fcr)

So the case you had explained above the value of 120Mpa will be same for Fc and Fh. It's not Caesar-II but it suggested by code and Caesar-II follows the code.

Regards,
R.K.