Questions and discussion for this lecture live here. Fire away by hitting Reply below 
Hi. I have been trying to work out how to properly integrate curvatures (I am working with reinforced concrete and the curvatures are derived from inner equilibrium) to get the correct deflection. However, I have not managed to get the right shape (currently working with a basic example where max deflection should be 5 * q * L^4 / ( 384*EI ). Through lots of trial and errors, I think I have found that the iteration process you describe in order to find theta_0 can be found in an easier way: theta_0 -= error / length (length from first point to next point with forced 0 deflection). This will only require fewer iterations.