Flexural rigidity, what does high flexural rigidity mean?

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High flexural rigidity, represented by the product EI (modulus of elasticity times the moment of inertia), indicates that a beam is stiffer and more resistant to bending. A higher EI value means it is harder to deform the beam, but stiffness also depends on the beam's length and end conditions. The units for EI should be N·mm², not N·mm⁵, which caused confusion in the discussion. The experiment aimed to examine the stiffness of a steel beam through deflection and curvature measurements, with the relationship between moment and curvature being critical for calculating EI. Understanding the assumptions in calculating EI is essential, as real-world conditions may differ from theoretical models.
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Homework Statement


simply put, i got 2.1E+10 N.mm^5 for my steel beam experiment?
but i am wonder, what conclusions can i make?

2. The attempt at a solution
from online resouce, flexural rigidity is defined as the force couple required to bend a rigid structure to a unit curvature.
so , the higher EI, the better? :redface:
 
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Not necessarily better, but the higher the EI, the stiffer the beam, and the harder it will be to bend. Actually, definition not withstanding, the stiffness depends not only on EI, but also the length of the beam and its end conditions. What was your experiment? The units don't make sense.
 
units?
yeah, i am confused as well.
isnt N.mm^2? since E(N/mm^2) I(mm^4)
the experiment is to examining the stiffness of a steel beam through 2 types of deformation-deflection and curvature..
now i am writing the discussion part, but not many things to be mentioned.
 
but i got different values..
so also need some comparisons.
 
by the way, jay, "what are the assumptions in calculating EI that may not be strictly true??"
i can't even find one
you know, by deflection, i plotted the mid-span moment(M) against the curvature(K). because M=EIk, the slope is the value of EI.
i think it is perfect..
 
EI has units (N/mm^2)(mm^4) = N*mm^2

Curvature k is EI/M and has units of mm.

I am not surewhat you are measuring in your experiment...deflection, stress, curvature?...and what you are trying to calculate.

If you have a simply supported beam of length L with a concentrated load P at L/2, then M_max = PL/4 at midpoint, and max deflection is PL^3/48EI at that point, in theory.
 

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