Second moment of area about the horizontal axis

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SUMMARY

The discussion focuses on calculating the second moment of area for a beam, with a specific result of 172.8 * 10^6 mm^4 confirmed as correct. Participants emphasize dividing the beam into parts to compute the moment of area for each section. Additionally, they discuss local variables necessary for calculating shear flow and the shear center, indicating a collaborative effort to verify calculations and methodologies.

PREREQUISITES
  • Understanding of second moment of area calculations
  • Familiarity with shear flow concepts
  • Knowledge of beam theory and structural analysis
  • Ability to interpret flow diagrams in engineering contexts
NEXT STEPS
  • Research the calculation methods for shear flow in beams
  • Study the concept of shear center and its significance in structural engineering
  • Learn about the application of the second moment of area in beam design
  • Explore advanced topics in structural analysis, such as moment distribution methods
USEFUL FOR

Structural engineers, civil engineering students, and professionals involved in beam design and analysis will benefit from this discussion.

vtaela
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Could someone help me on how to calculate the second moment of area of the beam in the figure below?

ImageUploadedByPhysics Forums1362933459.410910.jpg


Thank you
 
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hi vtaela! :wink:

divide it into parts, and add the moment of area of each part

show us what you get :smile:​
 
my calculations give me 172.8 *10^6 mm^4

is that correct?

thank you
 
vtaela: Excellent work. Your answer is correct.
 
I am trying to find my local variables in order to calculate the shear flow! I have the local variables as shown below! Are my local variables set correct?
ImageUploadedByPhysics Forums1363000995.952013.jpg

Thank you
 
Looks reasonable.
 
I finished with this, look similar to what you got?
 

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Working out of ixx
 

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Flow diagram and calculation of s1
 

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  • #10
Calc of s2, s3 and s6. The first picture i posted is calc for s4 and final value. Any idea how to do shear centre?
 

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