anonymous
  • anonymous
what is the moment of inertia of this (image attached)
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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anonymous
  • anonymous
b = 55mm, h = 50mm, and t = 10mm
Mani_Jha
  • Mani_Jha
|dw:1332474133969:dw| Divide the figure into 4 parts A,B,C and D. Each of these parts is a rectangular lamina. Using the knowledge that, for a thin rod of length l, the moment of inertia is: \[ml ^{2}/12\], Can you calculate what is the moment of inertia of a rectangular lamina? Then we could find the moment of inertia each for A,B,C and D and add them.

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anonymous
  • anonymous
Be careful Mani Jha. This is the cross-sectional area of a very long beam. You are correct to divide the beam into multiple sections, however, we need a more robust method to properly calculate the moment of inertia. However, as stated this problem cannot be solved. We must know about which axis to calculate the moment of inertia. Typically for beams in bending we calculate the moment of inertia about the centroid of the cross-sectional area. Attached is my solution about an axis through the centroid parallel to the b dimension. Additionally, I can provide scanned examples from textbook sources, if you so desire.
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