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Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem 10.5**: Determine the moment of inertia of the crosshatched region about the y-axis.

**Diagram Explanation:**

The diagram shows a horizontal rectangular shape with two semicircular ends, creating an overall oblong shape. Inside the crosshatched region, there are two smaller circular holes. The dimensions are given as follows:

- The total width of the oblong shape is 16 inches. The main rectangular section is 12 inches wide, with two 2-inch semicircular sections on each end.
- The height of the crosshatched region is not directly labeled, but can be inferred based on the placement of circular holes.
- Two identical circles, each with a diameter of 0.8 inches, are centered 4 inches from both the left and right ends of the shape.
- The thickness from the top to the bottom of the rectangle is consistent, and the centers of both circles are placed 1 inch from the top and bottom edges.
- An x-y coordinate system is established with the origin at the center of the shape.

The task is to calculate the moment of inertia of the crosshatched region, excluding the circles, about the y-axis.
Transcribed Image Text:**Problem 10.5**: Determine the moment of inertia of the crosshatched region about the y-axis. **Diagram Explanation:** The diagram shows a horizontal rectangular shape with two semicircular ends, creating an overall oblong shape. Inside the crosshatched region, there are two smaller circular holes. The dimensions are given as follows: - The total width of the oblong shape is 16 inches. The main rectangular section is 12 inches wide, with two 2-inch semicircular sections on each end. - The height of the crosshatched region is not directly labeled, but can be inferred based on the placement of circular holes. - Two identical circles, each with a diameter of 0.8 inches, are centered 4 inches from both the left and right ends of the shape. - The thickness from the top to the bottom of the rectangle is consistent, and the centers of both circles are placed 1 inch from the top and bottom edges. - An x-y coordinate system is established with the origin at the center of the shape. The task is to calculate the moment of inertia of the crosshatched region, excluding the circles, about the y-axis.
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