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What is moment of inertia about x-axis and the moment of inertia about the y-axis?

What is moment of inertia about x-axis and the moment of inertia about the y-axis?

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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What is moment of inertia about x-axis and the moment of inertia about the y-axis? 

Note: not centroidal axis

 

### Diagram of a Structural L-Shaped Bracket This image illustrates an L-Shaped structural bracket with precise dimensional annotations. The main dimensions of the bracket are as follows: 1. The total height of the vertical section of the bracket is 4 inches. 2. The horizontal base extends 3 inches. 3. The thickness of both the vertical and horizontal sections is uniformly measured at 0.5 inches. Additionally: - The position of the centroid \( C \) of the bracket is marked, indicating the center of mass for the two-dimensional structure. - The horizontal distance from the left edge to the centroid is represented by \( \bar{x} \). - The vertical distance from the bottom edge to the centroid is denoted as \( \bar{y} \). This diagram is particularly useful in fields such as mechanical engineering and structural analysis, where an understanding of the positioning of the centroid \( C \) is essential for determining the static equilibrium and distribution of stress in the bracket.
Transcribed Image Text:### Diagram of a Structural L-Shaped Bracket This image illustrates an L-Shaped structural bracket with precise dimensional annotations. The main dimensions of the bracket are as follows: 1. The total height of the vertical section of the bracket is 4 inches. 2. The horizontal base extends 3 inches. 3. The thickness of both the vertical and horizontal sections is uniformly measured at 0.5 inches. Additionally: - The position of the centroid \( C \) of the bracket is marked, indicating the center of mass for the two-dimensional structure. - The horizontal distance from the left edge to the centroid is represented by \( \bar{x} \). - The vertical distance from the bottom edge to the centroid is denoted as \( \bar{y} \). This diagram is particularly useful in fields such as mechanical engineering and structural analysis, where an understanding of the positioning of the centroid \( C \) is essential for determining the static equilibrium and distribution of stress in the bracket.
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