Super easy beam bending analysis question

Super easy beam bending analysis question

Anonymous
Not applicable
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Message 1 of 10

Super easy beam bending analysis question

Anonymous
Not applicable

In order to validate Inventor Stress Analysis, I am doing some simple beam simulation and comparing deflections between the hand calculations and the results from Inventor stress analysis.

I got fairly good results with a cantilever beam, but when I did a beam with both ends fixed my hand calculation gave a deflection that was 50% greater than the Inventor results.

The "beam" which I used for the calculation is fixed on both ends:

Thickness: 1.5 in

Width: 37.75 in

Length: 58.75 in

Material: 6061 AL with E = 9993 ksi

I put a gravity load on the model and got a good match with the hand calculation.

When I added a 500 lb load in the middle of the beam, results no longer matched.

I used the textbook equations for a beam fixed at both ends:

deflection = (wL^4)/384EL  (1)

deflection = (WL^3)/192EL  (2)

 

The first equation is for the gravity load where w is the load per unit length and wL equals the weight of the beam.

The second equation uses W for the point load which is 500 lb at the midpoint of the beam.

My hand calculations show:

Deflection from beam weight: 0.0016 in

Deflection due to the 500 lb load: 0.0050 in

Total max. deflection: 0.0066 in

The inventor simulation shows .004 in deflection.

I am looking for help to see if I am doing something wrong?  I have fairly high confidence in my hand calculations, but I am very new to simulations, so any help would be appreciated.

Accepted solutions (2)
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9 Replies
Replies (9)
Message 2 of 10

Binga
Advisor
Advisor

Hello @Anonymous
Welcome to the Autodesk Community!

Are you using which environment to do the analysis? Stress Analysis or Frame Analysis?
Can you post some pictures of your simulation configuration?



Gilberto Binga
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Message 3 of 10

swalton
Mentor
Mentor

Did you select a line or edge at the center of your beam to apply the 500 lb load? 

 

If you just selected the beam face, Inventor assumes that you have applied a distributed load of 500 lbs to that face. 

Steve Walton
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Message 4 of 10

Anonymous
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Thanks for the reply!

I am using Stress Analysis environment

I have attached my configuration and results as a screenshot.

 

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Message 5 of 10

Anonymous
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I tried to do a point load and thought I attached to the center point of the plate.

I just tried sketching a line in through the centerline and attaching the load to it, but it did not seem to recognize the line.  Is there a proper method for attaching a load to a line?

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Message 6 of 10

Anonymous
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This is my problem!

I made a small thin extrusion at the midpoint and the results came out great.

There has to be a more elegant way to place a load at the midpoint but I am not seeing it.

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Message 7 of 10

swalton
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Accepted solution

You will have to create a Split on the face where you want the load.  That will give you an edge to select with the load command.

 

See my attached IV2014 part.

Steve Walton
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Message 8 of 10

Anonymous
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That was exactly my problem. I was unfamiliar with the split command.  One more question for future simulations: What would be the best method to apply a point load?

 

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Message 9 of 10

swalton
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Accepted solution

  You may be able to create a workpoint in the CAD model and select it with the FEA tools. 

 

If not, use the split command to create a vertex or a very small area where you want your point load.

Steve Walton
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Message 10 of 10

Anonymous
Not applicable

I could not get the load to attach to a work point, but I was able to do another split and create a vertex.

This has been a big help.

Thanks again!

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