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: 41

Answer

$I_y=341in^4$

Work Step by Step

We can find the required moment of inertia as follows: $I_y=\Sigma (I+Ad^2_x)$ $\implies I_y=\frac{bh^3}{12}+Ad^2_x$ We plug in the known values to obtain: $I_y=\frac{4(1)^3}{12}+4(1)(0.5)^2+\frac{1(6^3)}{12}+4(1)(6)^2+\frac{4(1)^3}{12}+4(1)(7.5)^2$ This simplifies to: $I_y=341in^4$
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