It ' s been a while since I ' ve had to perform these calculations . But the structural book I used had equations for common beam scenarios and one of them was the cantilever . These equations were derived from shear and moment analyses and also the deflection equation depended on the loading type i . e . point load or distributed . Based on the responses I ' ve seen , I think I misunderstood your question because people are getting into some advanced stuff . So tldr could you use the equations I mentioned or are you looking for something more specific ? PSA This was a civil structural textbook , but I would imagine mechanical structures are similar <| sep |> no problemo , do you think i will find a pair for 5 ? i have been away for a while so not really been following prices .