Tapered pole bending algorithm in C#

I need an algorithm to deterrmine the deflection at any point in a tapered beam following the application of a number of loads at at points along the beam. Responders will probably need some knowledge of structural engineering to complete implementation of the required C# class implementation. Basically I need to model the deflection of both a solid and a hollow tapered rod given a series of point loads applied at various heights and a series of offset bending loads applied at various heights. In a non tapered beam this is easy using Euler Bernouli bending, but for a tapered beam this has proven to be too much for me. I think the way to do it is to simulate it using a large number of non tapered beam elements stacked on top of each other (see the following link) [login to view URL] Inputs will be: 1) Length of beam in inches 2) Radius at the free end 3) Radius at the fixed end 4) Modulus of elasticity in PSI 5) A set of N point loads each having a) Height of load (distance from fixed end) b) Force in Lbs 6) A set of N offset bending loads each having a) Height of load (distance from fixed end) B) Offset moment in Ft-Lbs As outputs I need 1) The total deflection at any point along the beam 2) The moment at any point along the beam 3) The stress at any point along the beam As a starting point I can supply a test jig and an existing beam class I wrote that attempts to do this using a home brewed technique where I calculate the moment of inertia as a function of distance from the fixed end. It works kind-of but it is not really correct. I would much rather have something designed by someone with proper structural engineering knowledge. ## Deliverables * * *This broadcast message was sent to all bidders on Wednesday Oct 27, 2010 7:54:46 AM: I am very sorry but I am going to need to cancel project. All of the bids I received were along the ines of "I am a software developer but I am sure I can figure the structural engineering out". Unfortunately this is a very tricky structural engineering problem, the actual programming part is trivial. I did not receive any communication from a provider with sufficient structural engineering skills (except for one who did not submit a bid) to handle this task. Thank you to all those who wrote to me. I hope in the future a more suitable task might allow us to work together.