Hello everybody. I had a new calculation problem. Generally, quite a long I practiced calculous, so now i had a problem with deflection of shaft. I have a charged beam like a schem under this text. The beam is symetric and i have a one continuous load - of course this load is also symetric. Please help me, i need some calculation model to calculate a deflect arrow. _______________| | | | | | | | | | | | | | |______________ Ra ........................................................................ Rb Greet, Kaka_89

So if I am understanding correctly.... What are you referring to as a charged beam? Is this a particle beam or a structural beam. You have a distributed load over a beam with reaction constraints at Ra and Rb. The calculation is going to differ depending on what type of reaction at these point is it a pin, fixed... Also the geometry of the cross section of the beam is important for deflection you must calculate the moment of inertia it will be different for a circle, square, I-beam. Maybe I am not following you correctly but please provide more clarity to the problem so we can help you accurately.

This website is a good reference for beam deflection/stress problems. http://www.engineersedge.com/beam_calc_menu.shtml

I like to use the principle of superposition to solve problems like this. I break the problem up into a series of simpler problems and then add the results together. Model 1/2 of the beam as a cantilever beam of length 1/2 L. One model has a point load on the end of magnitude Rb. Calculate deflection 1. Second model has a uniformly distributed load over the entire length. The length used is 1/2 the length of the distributed load. Calculate deflection 2 AND slope2 at end of this shorter beam. Now add Deflection 1 +deflection 2 + Slope2* (length of beam from end of distributed load to reaction b.) Those problems are available solved in the back of any text on engineering mechanics.

Erich, i don't think that i understand what you write much. I had this in study long time ago. If it's not problem, please draw for me a simple sketch (even in MS Paint). I will be grateful to you. Greet, Kaka_89

I enclose a simply handle sketch in the link below: http://i61.tinypic.com/2lnis11.jpg Is this a good solution. I will break the beam to two simple tasks, as you write. Greet Kaka_89

I enclose a simply handle sketch in the link below: http://i61.tinypic.com/2lnis11.jpg Is this a good solution???. I will break the beam to two simple tasks, as you write. Greet Kaka_89

Fill in the numbers in the boxes below - and you will get the answer to your problem. You can check your answer you get against a standard textbook like Timoshenko and Gere or Roark and Young. Hope this helps. http://civilengineer.webinfolist.com/str/sdcalcu.php