The simplified Cyclic Stress Ratio, CSR, is given by Seed and Idriss (1971) as:

CSR

Where:

 

CSR7.5 : the cyclic stress ratio with reference to earthquake magnitude of 7.5

σv : total overburden pressure at the depth considered

σv : effective overburden pressure at the same depth

amax : maximum horizontal acceleration at the ground surface

g : acceleration due to earth’s gravity

rd : stress reduction factor (read this article)

 

Note: You can enter user-defined CSR values (e.g. calculated from Shake2000, ProShake, etc). For more information please read this article.