Just FYI- ...from southwire's calc:
Notice the first half of that note?
**Note to User:All ampacity values are taken from the Section of 310-15 of the NEC. The conductor characteristics are taken from Table 9 of the NEC. The calculations used to determine the recommended conductor sizes for branch circuits are based on 60°C ampacity ratings for circuits rated 100 amps or less or marked for use with #14 AWG - #1 AWG. Circuits rated over 100 amps or marked for conductors larger than #1 AWG are determined using 75°C ampacity ratings.
They are basing that off of their misinterpretation of NEC code 110.14c that says u have to use 60* c rating IF under 100a missing the second part of that which allows higher ampacity rating IF the temperature rating of all the termination points is known.
So yeah if the circuit is less than 100a, Southwire calculator will spit out a wire size larger than what 310.15b16 allows.
Why do the math manually today? Are you trying to keep your math skills alive and well? Even if you are doing the math manually, you still need an Ampaciy chart, unless you have it memorized along with all the derating factors....
I'd suggest an app for your phone such as (Electrical Wiring Pro) EWP 2014. Take a look, it's very capable and no need to lug an Ugly's or the NEC around.
I like to stay fresh on my math skills yes, but i have memorized much of the common ampacities and I do have 310.15b16 along with derate chart saved on my phone for quick references.
I do lug ugly's around but rarely use it and one should ALWAYS carry around a copy of NEC which i do most of the time. No telling when someone may question u or the code. Always good to be able to pull it out when needed. Like all the other equipment in our trucks, it is a tool.
Thank you for the app reference. I will check it out.