Need some help with finding the 2nd moment of area

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Discussion Overview

The discussion revolves around calculating the second moment of area for a T-beam and the subsequent determination of maximum bending stress. Participants are exploring the theoretical calculations versus practical results, addressing potential discrepancies in their findings.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Experimental/applied

Main Points Raised

  • One participant presents their calculations for the second moment of area (Ixx) for a T-beam, including the neutral axis location and the formulas used for both rectangles that comprise the beam.
  • Another participant indicates they achieve the same results but questions the interpretation of the solid filled rectangles in the provided image.
  • Several participants inquire about the accuracy of the bending equation in predicting stress, noting that it estimates maximum bending stress at the outermost fibers of the beam.
  • A participant reports a significant discrepancy between theoretical and practical maximum bending stress values, suggesting a possible error in the bending moment value used in calculations.
  • Another participant expresses confusion regarding the units of measurement (mm versus meters) and questions the origin of the bending moment value of 84 Nmm or 84 N-m.

Areas of Agreement / Disagreement

Participants generally express uncertainty regarding the calculations and results, with no consensus on the accuracy of the theoretical predictions versus practical outcomes. Multiple competing views on the interpretation of results and calculations remain unresolved.

Contextual Notes

Participants highlight potential issues with unit conversions and the interpretation of measurements, which may affect the accuracy of their calculations. Specific assumptions regarding the geometry of the beam and the application of the bending equation are not fully clarified.

jsharma
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hi I am having trouble with findin second moment of a T-beam.

here are the measurements of the beam:
http://img354.imageshack.us/img354/8648/beam6xl.jpg

I have found the neutral axic fro the beam
and tht is 11.943 mm from the bottom rectangle
for 3nd moment of area
i have separated the two rectangles and calculated for each
Ixx= (6.4*(31.7)^3)/12+6.4*31.7*(10.4)^2 for the upper rectablge
Ixx= (38.1*(6.4)^3)/12+6.4*38.1*(8.65)^2 for the bottom rectangle

Then i added both and i got 5.8*10^-8 m^4
Then i had to find out the maximum stress for maxmimum load i.e for 84 Nm
i used the formula Stree= bending moment * neutral axis maximum/ 2nd moment of area
when i calculate it i don't get the same value as done in the practical i gues there is something wrong with my calculation in Ixx so please can you tell me wht am i doing wron here
 
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I get your same results if I ignore whatever those solid filled rectangles are supposed to represent.
 
thnnx well the another thing was that does the bending equation accurately predict the stress in the beam
 
PhanthomJay said:
I get your same results if I ignore whatever those solid filled rectangles are supposed to represent.
thnnx well the another thing was that does the bending equation accurately predict the stress in the beam
 
jsharma said:
thnnx well the another thing was that does the bending equation accurately predict the stress in the beam
It predicts the max bending stress at the outermost fibers (top) of the beam based on the moment in the beam at that point.
 
I have done a practical in the beam, well i got the same neutrl axis in the practical as in the theoretical but when i go and find the maximum bending stress i get 3.4*10^8 theorretically but in practical it is 81.45*10^13 for bending moment 84 Nmm. is it alright wht am i doing wrong here
 
jsharma said:
I have done a practical in the beam, well i got the same neutrl axis in the practical as in the theoretical but when i go and find the maximum bending stress i get 3.4*10^8 theorretically but in practical it is 81.45*10^13 for bending moment 84 Nmm. is it alright wht am i doing wrong here
Between mm and meters you've lost me with the decimal point. But perhaps your error is in the value of the max bending moment of 84n-m (or 84 n-mm). Where'd that number come from??
 

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