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1. GIVEN: REQOIREO: yo l0". 7,9 to locete the centreid t 6"

1. GIVEN: REQOIREO: yo l0". 7,9 to locete the centreid t 6"

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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### Engineering Drawing Overview #### Given: - The diagram illustrates a composite shape, consisting of a rectangle with a semicircular cutout. - The dimensions provided in the diagram are as follows: - The rectangle has a height of 18 inches, divided into 8 inches at the left side, and an additional 10 inches height on the right side. - The bottom side is 17 inches wide (6 inches + 1 inch + semicircle diameter of 3 inches). - A semicircular cutout is present at the bottom of the rectangle with a radius of 3 inches. #### Diagram Explanation: - The shape is represented on a grid with labeled axes \( x \) and \( y \). - The top horizontal side of the rectangle measures 10 inches. - The vertical line on the left side is 8 inches high. - There’s a gap of 6 inches from the left edge to the start of the semicircle. - The semicircle is centrally aligned with a diameter of 3 inches. #### Required: - Calculate the centroid coordinates \((\bar{x}, \bar{y})\) to locate the centroid of the given composite shape. This diagram is crucial for understanding basic principles of geometry and centroid location in engineering fields, where such calculations are foundational for material balance and design processes.
Transcribed Image Text:### Engineering Drawing Overview #### Given: - The diagram illustrates a composite shape, consisting of a rectangle with a semicircular cutout. - The dimensions provided in the diagram are as follows: - The rectangle has a height of 18 inches, divided into 8 inches at the left side, and an additional 10 inches height on the right side. - The bottom side is 17 inches wide (6 inches + 1 inch + semicircle diameter of 3 inches). - A semicircular cutout is present at the bottom of the rectangle with a radius of 3 inches. #### Diagram Explanation: - The shape is represented on a grid with labeled axes \( x \) and \( y \). - The top horizontal side of the rectangle measures 10 inches. - The vertical line on the left side is 8 inches high. - There’s a gap of 6 inches from the left edge to the start of the semicircle. - The semicircle is centrally aligned with a diameter of 3 inches. #### Required: - Calculate the centroid coordinates \((\bar{x}, \bar{y})\) to locate the centroid of the given composite shape. This diagram is crucial for understanding basic principles of geometry and centroid location in engineering fields, where such calculations are foundational for material balance and design processes.
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