Hello everybody:
The steel S275 (S stands for structural) has a Minimum Yield Strength of 275 MPa (with a probe of 16 mm of thickness).
In the steel S275JR, JR indicates that the material has been subject to a Longitudinal Charpy V-notch impacts 27 Joules at +20 °C.
For J0 and J2, the Charpy impact test was performed with 27 Joules at 0 °C and 27 Joules at -20 °C, respectively.
The class of steel (JR, J0 or J2) has little or nothing to do with the thickness chosen for a particular design but, on the contrary, for the material thickness selection, the Specified Minimum Yield Strength, has an important role for that purpose.
El que no puede andar, se sienta.