Assume the y of the beam below is 229.5 mm up from the base. What is the moment area of inertia of the beam about the x' axis through the centroid of the beam? Show your answer in mm4.
Assume the y of the beam below is 229.5 mm up from the base. What is the moment area of inertia of the beam about the x' axis through the centroid of the beam? Show your answer in mm4.
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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Transcribed Image Text:**Problem Statement:**
Assume the \( \bar{y} \) of the beam below is 229.5 mm up from the base. What is the moment area of inertia of the beam about the \( x' \) axis through the centroid of the beam? Show your answer in mm\(^4\).
**Diagram Description:**
The image displays a cross-sectional view of a T-shaped beam. Key dimensions are marked:
- The top flange of the beam is 250 mm wide and 50 mm high, consisting of two segments each 125 mm wide.
- The web of the beam is 300 mm high with a width of 50 mm in total, divided into two parts, each 25 mm wide.
- A horizontal line marked as \( x' \) is drawn 229.5 mm from the base of the beam.
**Table for Calculation:**
| Segment | | | | |
|---------|--------|--------|--------|--------|
| 1 | | | | |
| 2 | | | | |
**Calculation Requirement:**
Calculate the Area Moment of Inertia (\( I \)) of the beam using the given dimensions, and fill in the values for each segment if required.
**Final Answer:**
Area Moment of Inertia = \( I = \) __________________ mm\(^4\)
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