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: 53



Work Step by Step

We can find the required moment of inertia as follows: $I_y=\Sigma (I+Ad^2_x)$ We plug in the known values to obtain: $I_y=\frac{10(6)^3}{12}+\frac{6(10)}{2}(3)^2-\frac{6(3)^3}{36}+\frac{(6)(3)}{2}(5)^2-(\frac{\pi (2)^4}{4}+(2)^2\pi (3)^2)$ This simplifies to: $I_y=365in^4$
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