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• # Shaft deflection

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

1. ### Kaka_89Member

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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. ### CPPMableWell-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.

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5. ### ErichWell-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_89Member

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Dec 2014
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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_89Member

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Dec 2014
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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_89Member

Joined:
Dec 2014
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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

Joined:
Dec 2014
Posts:
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Kaka_89

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