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 546: 46



Work Step by Step

We can find the required moment of inertia as follows: $I_x=I+Ad^2_y$ We plug in the known values to obtain: $I_x=\frac{(6)(9)^3}{36}+\frac{(6)(9)}{2}(6)^2+\frac{6(3)^3}{36}+\frac{(6)(3)}{2}(7)^2+\frac{6(6)^3}{12}+6(6)(3)^2-(\frac{\pi}{4}(2)^4)+(2)^2\pi (3)^2)$ This simplifies to: $I_x=1845in^4$
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