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: 43



Work Step by Step

We can find the required moment of inertia as follows: $I_y=\Sigma (I+Ad^2_x)$ $\implies I_y=\Sigma (\frac{bh^3}{12}+Ad^2_x )$ We plug in the known values to obtain: $I_y=\frac{(30)(70)^3}{12}+30(70)(65)^2+\frac{200(30)^3}{12}+200(30)(15)^2+\frac{(30)(170)^3}{12}+30(170)(115)^2$ This simplifies to: $I_y=91.3(10^6)mm^4$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.