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  • Shaft deflection

    Discussion in 'Calculations' started by Kaka_89, Jan 30, 2015.

    1. Kaka_89

      Kaka_89 Member

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      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
       
    2.  
    3. CPPMable

      CPPMable Well-Known Member

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      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.
       
    4. bdeuell

      bdeuell Member

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    5. Erich

      Erich Well-Known Member

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      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.
       
    6. Kaka_89

      Kaka_89 Member

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      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
       
    7. Kaka_89

      Kaka_89 Member

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      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
       
    8. Kaka_89

      Kaka_89 Member

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      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
       
    9. Kaka_89

      Kaka_89 Member

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      Did anyone help me? Please.

      Kaka_89
       
    10. Lochnagar

      Lochnagar Well-Known Member

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      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
       

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