I refer only to basic auto-attacks: An Ashe 
with AD (attack damage) = 204, AS (attack speed) = 2.47 and CSC (critical strike chance) = 110% ( -----> the sum of the CSC of my items, I don't know if the max CSC is 100%) and with an Infinity Edge Item 
, how damage can she deal's per second? Is there any easy way to calculate this myself?
Kaìju1 votesA lot. Ashe is weird because she has the late game damage of a hyper carry, but unlike most other hyper carries she actually needs to have six items, where as others need four or five.
LoliKnight1 votes2.6 x your total AD ( the damage your autos deal because of your passive provided you have IE and 100% or greater crit chance) x 1.25 ( bonus from Q, Q shoots 5 bolts, each of which deal 25% AD and can benefit from your passive's damage increase ) x 2.5 ( 2.47 + 40% attack speed bonus from Q but Attack speed is capped at 2.5, so 2.5 is the number of attacks you will be dealing in one second) is the maximum possible DPS you will deal over the period of time Q is active ( 4 seconds) , provided you stand in one place and auto a target dummy. Keep in mind you will have to reduce this value by a percentage depending on the enemies armor . You can exceed this value by picture perfect attack moving( Attack moving once every 0.4 seconds) as this will let statikk shiv get charged and add to your DPS.
Relevant formula for % reduction in DPS from enemies armor : (100/100+armor)% so 100 armor on the enemy will reduce the dps you deal by 50% ( 100/100+100)% =>(100/200)% = 50%
EDIT: Keep in mind that I assume you're building a Runaans hurricane with your build looking something like IE Shiv RFC Runaans Boots misc item . SO your theoretical DPS will be higher if there's two nearby targets. This value will be equivalent to (0.4 x previous premitigation value x % reduction in DPS from target 2's armor )+ (0.4 x previous premitigation value x % reduction in DPS from target 3's armor) + (Previous premitigation value x % reduction in DPS from target 1's armor)
Now I can be a jackass and consider MR and reduction in damage from statikk shiv, and increased DPS coz of statikk shiv bounce to multiple targets, but I'll leave that to you.
Darkdemon6531 votesAshe's raw DPS against targets afflicted by her innate is given by the following:
DPS = AS x AD x (1.1 + (critical_strike_chance x (1 + critical_strike_bonus_damage)))
I don't remember is crit chance can go above 100%, but I believe it can't. So for your example:
DPS = 2.47 x 204 x (1.1 + (100% x (1 + 50%))) DPS = 503.88 x (1.1 + (1 x (1.5))) DPS = 503.88 x 2.6 DPS = 1310
