Where does the ##Y_{C}## measurement go in this I section?

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SUMMARY

The discussion focuses on determining the placement of the ##Y_{C}## measurement in the calculation of the moment of inertia for an I section about its centroidal axis, specifically with ##Y_{C}## valued at 108.4. Participants clarify that the d values along the X-axis are considered zero, indicating that the centroid of the shapes is aligned along the Y-axis. This alignment is crucial for accurately calculating the moment of inertia.

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  • Understanding of moment of inertia calculations
  • Familiarity with centroidal axes in structural engineering
  • Knowledge of I section geometry
  • Basic principles of coordinate systems in mechanics
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  • Study the calculation of moment of inertia for various cross-sectional shapes
  • Learn about the properties of centroidal axes in structural analysis
  • Explore the implications of d values in moment of inertia calculations
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Structural engineers, civil engineering students, and professionals involved in mechanical design and analysis of I sections will benefit from this discussion.

Benjamin_harsh
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Homework Statement
calculate the moment of inertia of this I section about centriodal
axis (##Y_{C}## = 108.4)
Relevant Equations
##Y_{C}## = 108.4
calculate the moment of inertia of this I section about centriodal axis (##Y_{c}## = 108.4)

245323


Where does ##Y_{C}## measurement goes in this I section?
 
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calculate the moment of inertia of this I section about centriodal axis (##Y_{C}##= 108.4)

245324


245325


We can see d values at X axis is taken as 0.

How ##X_{C} = 0## in this diagram?
 
Benjamin_harsh said:
calculate the moment of inertia of this I section about centriodal axis (##Y_{C}##= 108.4)

View attachment 245324

View attachment 245325

We can see d values at X axis is taken as 0.

How ##X_{C} = 0## in this diagram?
The diagram does not supply the relative x displacements of the three shapes. It looks as though you are meant to take them as all having their centres on the Y axis, despite appearances.
 

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