Area Moment of inertia of a circular wire

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SUMMARY

The discussion focuses on the Area Moment of Inertia of a circular wire, specifically the formula I_d = πa^4 / 4. The term "Area Moment of Inertia" is synonymous with the second moment of area, a crucial concept in applied mechanics. The user, i_m_sadiq, seeks clarification on this topic as part of their freshman Applied Mechanics course. Community members recommend researching the second moment of area for a better understanding.

PREREQUISITES
  • Understanding of basic mechanics principles
  • Familiarity with the concept of moment of inertia
  • Knowledge of geometric properties of shapes
  • Basic mathematical skills for manipulating formulas
NEXT STEPS
  • Research "second moment of area" for detailed explanations
  • Study the derivation of the formula I_d = πa^4 / 4
  • Explore applications of area moment of inertia in structural engineering
  • Learn about the differences between area moment of inertia and mass moment of inertia
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This discussion is beneficial for students in engineering disciplines, particularly those studying mechanics, as well as educators and professionals seeking to reinforce their understanding of the area moment of inertia in practical applications.

i_m_sadiq
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Hlw...I am a new guy here...And I am taking a course of Applied Mechanics in my freshmen year...Here I have come across a term called Area of moment of inertia which I don't really understand that much...And I have been given to prove that
<br /> I_d = \frac{\pi a^4}{4}<br />...I was trying everything but I am at my wit's end...So, if some helps me it would be great...A thanks in advance for the help...
 
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Welcome to PF!

Hi i_m_sadiq! Welcome to PF! :smile:

Area (no "of" :wink:) moment of inertia is another name for second moment of area.

Search google or wikipedia for "second moment of area" and/or see the PF Library on moment of area :smile:
 

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