Flexural rigidity, what does high flexural rigidity mean?

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Discussion Overview

The discussion revolves around the concept of flexural rigidity (EI) in the context of a steel beam experiment, focusing on its implications for beam stiffness and the associated calculations. Participants explore the definitions, units, and assumptions related to flexural rigidity, as well as the experimental setup and results.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant states that a higher EI indicates a stiffer beam, making it harder to bend, but questions whether this is necessarily "better."
  • Another participant points out that stiffness also depends on the beam's length and end conditions, suggesting that EI alone does not determine performance.
  • There is confusion regarding the units of EI, with participants discussing whether it should be N.mm^2 or N.mm^5, and clarifying that EI has units of (N/mm^2)(mm^4) = N.mm^2.
  • One participant describes their experiment, which examines the stiffness of a steel beam through deflection and curvature, but expresses uncertainty about what to include in the discussion section.
  • Another participant asks about assumptions in calculating EI that may not hold true, indicating a lack of clarity on this topic.
  • One participant mentions plotting mid-span moment against curvature to derive EI, asserting confidence in their method.
  • A later reply questions the measurements being taken in the experiment, asking for clarification on whether deflection, stress, or curvature is being measured.
  • There is a theoretical reference to the maximum moment and deflection for a simply supported beam under a concentrated load, suggesting a framework for understanding the relationship between load, moment, and deflection.

Areas of Agreement / Disagreement

Participants express varying views on the implications of high flexural rigidity, the appropriate units for EI, and the assumptions involved in its calculation. The discussion remains unresolved regarding the clarity of the experimental setup and the assumptions that may affect the calculations.

Contextual Notes

Participants highlight confusion over the units of EI and the assumptions in its calculation. There is also uncertainty about the specific measurements being taken in the experiment and how they relate to the theoretical framework discussed.

chris_usyd
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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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