Use the parallel axis theorem to calculate the moment of inertia of the bottom flange (3) about the z axis.

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
Question
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Part 3
X Incorrect.
Use the parallel axis theorem to calculate the moment of inertia of the bottom flange (3) about the z axis.
Answer:
13= i 4682.71
in.4
Transcribed Image Text:Part 3 X Incorrect. Use the parallel axis theorem to calculate the moment of inertia of the bottom flange (3) about the z axis. Answer: 13= i 4682.71 in.4
A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of b, - 18 in., di - 1.9 in., bz -
1.9 in., d2 = 17 in., b3 =- 9 in., and d3 = 1.9 in. The vertical distance from the bottom edge of the section to the centroid is 12.333 in.
Determine the moment of inertia of the section about the z axis.
bị
| Nail A
di
d2
b2
dz
Nail B
b3
Correct.
Consider the section as three rectangles: the top flange (1), the web (2), and the bottom flange (3). Use the parallel axis theorem
to calculate the moment of inertia of the top flange (1) about the z axis.
Answer:
1942.7695
in.
Correct.
Use the parallel axis theorem to calculate the moment of inertia of the web (2) about the z axis.
Answer:
12 -
898.58026
in.4
Transcribed Image Text:A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of b, - 18 in., di - 1.9 in., bz - 1.9 in., d2 = 17 in., b3 =- 9 in., and d3 = 1.9 in. The vertical distance from the bottom edge of the section to the centroid is 12.333 in. Determine the moment of inertia of the section about the z axis. bị | Nail A di d2 b2 dz Nail B b3 Correct. Consider the section as three rectangles: the top flange (1), the web (2), and the bottom flange (3). Use the parallel axis theorem to calculate the moment of inertia of the top flange (1) about the z axis. Answer: 1942.7695 in. Correct. Use the parallel axis theorem to calculate the moment of inertia of the web (2) about the z axis. Answer: 12 - 898.58026 in.4
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