Cable is never A36. You will really need to identify the particular type. 6x7 and 6x19 IWRC rope, 1" dia. has a breaking strength of 45.7 tons while galvanized bridge strand has a BS of 46.0 tons. The modulus of elasticity can vary from 13E6 to 21E6.
Refer to the Wire Rope Engineering Handbook published by USS United States Steel. There's also more to the design, such a cable anchorage, sheave diameter etc. Also, factor of saftys vary with the use.
The standard grades that I quoted from the manual was re-published in 1968.