Calculating Second Moment of Aria for Hollow Square Beams

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SUMMARY

The second moment of area for a hollow square beam can be calculated by determining the moment of area for the outer solid square and subtracting the moment of area for the inner hollow square. Specifically, for a hollow square beam with an outer dimension of 100mm and an inner dimension of 70mm, the calculation involves finding the moment of area for both squares and using the formula: I = (b*h^3)/12 for the outer square and subtracting the inner square's moment of area. This method ensures accurate results for structural analysis.

PREREQUISITES
  • Understanding of the second moment of area (I)
  • Familiarity with beam theory and structural analysis
  • Knowledge of geometric properties of squares
  • Basic proficiency in calculus for area calculations
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  • Research the formula for the second moment of area for various shapes, including hollow sections
  • Learn about the application of the second moment of area in structural engineering
  • Explore software tools for structural analysis, such as AutoCAD or SAP2000
  • Study the differences between solid and hollow beam calculations in engineering contexts
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Structural engineers, civil engineering students, and professionals involved in beam design and analysis will benefit from this discussion.

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Question:

How do you work out the second moment of aria for a hollow square beam?

Attempt:

I have looked over my notes and it says how to get the second moment of aria for all beams but a hollow square one. It has I beam, Circulare beams, Rectangular...

How do you go about working it out for a hollow square beam?
 

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Basically you just take the area moment of a solid square 100mm a side and subtract off the inside.
 
thanx.

So does that mean I would work out (100mm x 100mm) - (70mm x 70mm) and us that as the aria in the formula or work out the Moment of aria for the 100mm x 100mm and take off the moment of aria for a 70mmx70mm square?
 
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