Question regarding Double cantilevered Beam

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SUMMARY

The discussion centers on the deflection formula for a double cantilevered beam under a center load. The user, Casey, seeks clarification on the similarities between the deflection of a center-loaded double cantilevered beam and that of a single cantilevered beam. Casey proposes using the formula for a center-loaded single cantilevered beam in conjunction with the end-loaded cantilevered beam formula to derive the necessary results. A resource link for further analysis is provided, specifically pointing to a relevant section on beam types.

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  • Familiarity with cantilever beam mechanics
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  • Research the deflection formulas for double cantilevered beams
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Saladsamurai
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I was just looking around for a formula for the deflection of a center-loaded beam that is cantilevered at both ends.

For some reason my text does not have one. It does however have the deflection of a beam cantilevered at its end and I am thinking the two cases should be very similar if not identical, but I am having trouble rationalizing (or un-rationalizing) this.

Can someone clue me in here?

thanks,
Casey
 
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Oh! I just had a thought. I could use the formula for the center-loaded single cantilevered beam

+

The formula for a an end-loaded cantilevered beam (opposite direction) whose end-load is equal to the reaction force of the other cantilever...

I will play with this for a while.
 
You can superimpose results. That is the way to go. However, one quick search did turn up this link:

http://structsource.com/analysis/types/beam.htm

I believe you're looking at the third from the bottom.
 
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