Engineering Mechanics: Statics & Dynamics (14th Edition)

Published by Pearson
ISBN 10: 0133915425
ISBN 13: 978-0-13391-542-6

Chapter 10 - Moments of Inertia - Section 10.4 - Moments of Inertia for Composite Areas - Problems - Page 547: 52



Work Step by Step

We can find the required moment of inertia as follows: $I_x=\Sigma (I+d^2_y)$ We plug in the known values to obtain: $\implies I_x=\frac{6(10)^3}{12}+6(10)(5)^2-\frac{3(6)^3}{36}+\frac{6(3)(8)^2}{2}-(\frac{\pi^2}{4}+(2)^2\pi (4)^2)$ This simplifies to: $I_x=1192.37in^4$
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