Flexing a Beam: Can it Go to 50 Degrees?

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A flexible beam currently bending to 25 degrees is being evaluated for potential flexing to 50 degrees without permanent deformation. The discussion highlights that exceeding 25 degrees surpasses the limits of linear elastic beam theory, complicating calculations. Participants suggest that hand calculations may no longer be reliable for this scenario. The focus is on determining the appropriate equations and material stress comparisons needed for further analysis. Understanding the limitations of the beam's elasticity is crucial for assessing its bending capabilities.
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I'm looking to see if a flexible beam I am using right now can be flexed further, currently it goes to around 25 degrees and I want to see if I can bend it to around 50 degrees without permanent deformation. Looking to do a back of the envelope calc to check this, what equation should I use, and what material stress should I compare this to? The beam is attached to blocks at the top and bottom and these two blocks are connected by a cable that can be retracted to create a moment and bend the beam:

-------
| |
| block|
-------
| b | |
| ea| | <- cable
| m| |
--------
| |
| block |
--------
 
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If the beam is rotated through 25 deg already, you are way passed the limits of linear elastic beam theory, which usually means hand calcs are out the window.
 
Dr.D said:
If the beam is rotated through 25 deg already, you are way passed the limits of linear elastic beam theory, which usually means hand calcs are out the window.

agreed
 
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