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Does Eq. 9-17 still hold if the slab is not "thin" -that is, if its thickness is comparable to (or even greater than) a or b?

Does Eq. 9-17 still hold if the slab is not "thin" -that  is, if its thickness is comparable to (or even greater than) a or b?

Grade:11

1 Answers

Kevin Nash
askIITians Faculty 332 Points
7 years ago
Yes, equation 9-17 given as 234-1859_1.JPG will still be valid if the thickness of the plate is larger compared to its sides of length and respectively. This can be seen from the equation above, in which the moment of inertia is independent of the thickness.
The result would be same even if one stacks up larger number of plate making total mass and forming a rectangular block.
The moment of inertia given by the equation above is dependent on the diagonal length of plate, and does not involve length corresponding to thickness.


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