Determine the centroid ( x and y [this is x bar and y bar] ). If the centroid is at the line of symmetry, then state so. The image displays a geometric figure resembling a house with a semicircular bottom cut-out. **Dimensions:**- The total height is divided into two segments: 1.2 inches from the top to the beginning of the arch, and an additional 1.5 inches from the base to the top of the arch.- The total width of the base is 3 inches.- The semicircular cut-out at the bottom has a radius of 1 inch on each side.**Explanation:**This shape combines linear and curved components, providing an example of mixed geometric elements useful in architectural design or engineering studies. The square portion represents foundational structural forms, while the semicircular arch illustrates how curves can be integrated into design for both aesthetic and functional purposes.

Answered: Determine the centroid ( x and y [this…

Determine the centroid ( x and y [this is x bar and y bar] ). If the centroid is at the line of symmetry, then state so.

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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Question

Determine the centroid ( x and y [this is x bar and y bar] ). If the centroid is at the line of symmetry, then state so.

The image displays a geometric figure resembling a house with a semicircular bottom cut-out.

**Dimensions:**
- The total height is divided into two segments: 1.2 inches from the top to the beginning of the arch, and an additional 1.5 inches from the base to the top of the arch.
- The total width of the base is 3 inches.
- The semicircular cut-out at the bottom has a radius of 1 inch on each side.

**Explanation:**
This shape combines linear and curved components, providing an example of mixed geometric elements useful in architectural design or engineering studies. The square portion represents foundational structural forms, while the semicircular arch illustrates how curves can be integrated into design for both aesthetic and functional purposes.

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