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 BracketThis 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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Engineering

Civil Engineering

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

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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Concept explainers

Moments

There are various practical applications of the concept of moments, like a rotation of the crank due to linear motion of the piston, the moment of inertia and its use in designing beams and columns, bending moment concept, torque, twisting moment, etc.

Question

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.

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