Area moment of intertia of a t-bar

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SUMMARY

The discussion centers on calculating the area moment of inertia for a T-bar section using the parallel axis theorem. The formula proposed includes terms for both the rectangular and the T-bar components: (1/12)bh³ + (1/12)hb³ + bh(h/2 + b/2)². Participants confirm the formula's validity but suggest simplifying by collecting similar terms. The official answer remains unspecified, prompting further inquiry into the correct calculation.

PREREQUISITES
  • Understanding of the area moment of inertia
  • Familiarity with the parallel axis theorem
  • Basic knowledge of geometric properties of T-bar sections
  • Ability to manipulate algebraic expressions
NEXT STEPS
  • Review the parallel axis theorem in structural engineering contexts
  • Study the derivation of area moment of inertia for composite shapes
  • Practice calculating area moments of inertia for various cross-sectional shapes
  • Explore simplification techniques for algebraic expressions in engineering problems
USEFUL FOR

Engineering students, structural engineers, and anyone involved in mechanical design or analysis of T-bar sections will benefit from this discussion.

NoobeAtPhysics
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Homework Statement



The area moment of inertia about the dashed axis is what?

momin1.5.gif


Homework Equations



Paralell Axis theorem

The Attempt at a Solution



(1/12)bh³ + (1/12)hb³ + bh(h/2 + b/2)²

I don't understand how I am wrong
 
Last edited:
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NoobeAtPhysics said:
(1/12)bh³ + (1/12)hb³ + bh(h/2 + b/2)²
Looks right to me, though you could collect up some similar terms. What is the official answer?
 

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