Find Ix the 2nd moment of area about X-axis ( the shaded area) *610638.

Answered: Find Ix the 2nd moment of area about…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Find Ix the 2nd moment of area about X-axis ( the shaded area) *
6
10
6
3
8.

Expert Solution

Step 1

$For part 1 (considering there is no unshadded region in rectangle) A 1 = 10 \times 8 = 80 u n i t^{2} for part 2 A 2 = \frac{1}{2} \times 6 \times 8 = 24 u n i t^{2} for part 3 (unshadded part) A 3 = 3 \times 6 = 18 u n i t^{2}$

$second area moment of parts about their own centroid I_{1} = \frac{b \times d^{3}}{12} = \frac{8 \times 10^{3}}{12} = 666.67 u n i t^{4} I_{2} = \frac{b \times h^{3}}{36} = \frac{8 \times 6^{3}}{36} = 48 u n i t^{4} I_{3} = \frac{b \times d^{3}}{12} = \frac{3 \times 6^{3}}{12} = 54 u n i t^{4}$

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