If we have two beams having same cross-section and boundary conditions but different lengths. How will we compare their load-deflection curve? Or in simple words, how to convert the load-deflection curve of 2000m beam to 3000m beam.
hi
you can do that by normalizing both load and deflection by their yield values. yo do so for each beam then compare their normalized load-deflection curves
Use the analytical formulas. See attached file.
Hope it can help you.
Franco
I fully agreee with Mr. Raafat, Normalization of load and beam length will solve your issue.
Depending on the shape of load ,concentrated load or distributed load
@hamidreza It is two point load. But a/d ratio is same for both the beams
To convert load-deflection of a 2m beam to 3m beam:
divide load by 3/2
multiply deflection by (3/2)^2
Hi,
Can you use the strain instead of deflection? and stress instead of load?
This will be more logical and convenience for a comparison.
@hamidreza. . Thanks for Your answer. . . What about load? Will it be the same? And wouldn't it be only for linear range?
hi for concentrated load, multiply deflection by (3/2)^3
if you have distributed load, multiply deflection by (3/2)^4
It also depends on the type of load, extension and torque scales the same and linearly, bending scales in a cubic fashion. If your beam is relatively short, then you need to consider transverse shear, a simple scale does not exist, as the aspect ratio also affects the results.
Because the nonlinearity don't use any of deflection formula. Only normalize the results
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