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Beam deflection Calculation

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Czakar

Student
Joined
Apr 1, 2022
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Location
GB
Good afternoon,

For one of my UNI projects I am doing a deflection analysis of a carbon fibre beam.(File included). I would like to use Macaulay's method. I have a few questions to ask. Can I sum all the moment equations and then calculate the integral of the sum to obtain the slope and deflection (As far as I know i should be able to do that because of the sum of integrals rule). Another question that I have is if I want to obtain the c1 and c2 parameters, knowing it is a cantilever beam shall the slope and deflection be equal to 0 at x = 0 or x = length of the beam.

Any help appreciated.
 
 https://files.engineering.com/getfile.aspx?folder=bc7d2d44-8b57-42dd-9247-db0ca5306117&file=Screenshot_20220401-171244_Samsung_Notes.jpg
Do you need the rotation and deflection everywhere or just at the tip? If the latter than you might consider using Virtual Work.

To answer your question, if the system is linear then superposition would apply.
 
Slope and deflection are both 0 at the fixed end, i.e. x=0.

BA
 
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