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6,2 and cœntroid of the following Afanes Cross-sectons 2"

6,2 and cœntroid of the following Afanes Cross-sectons 2"

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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**Title: Finding the Centroid of a Cross-Section** **Objective:** Determine the centroid of the illustrated cross-section planes. **Description of the Diagram:** The diagram illustrates a trapezoidal shape with two parallel sides: - The overall height is 6 inches. - The width at the bottom is 7 inches. - The top parallel section measures 1 inch in width. - The left side extends vertically measuring 6 inches. - On the right side of the trapezoid, there is a 2-inch segment going vertically upwards and a 2-inch segment angled back towards the center line. Within the trapezoid: - There is a rectangular cut-out that measures 2 inches in width and extends vertically 2 inches. **Task:** Calculate the centroid by using geometric and arithmetic methods to divide the shape into regular components. Calculate the area and moment of each part with respect to a convenient axis.
Transcribed Image Text:**Title: Finding the Centroid of a Cross-Section** **Objective:** Determine the centroid of the illustrated cross-section planes. **Description of the Diagram:** The diagram illustrates a trapezoidal shape with two parallel sides: - The overall height is 6 inches. - The width at the bottom is 7 inches. - The top parallel section measures 1 inch in width. - The left side extends vertically measuring 6 inches. - On the right side of the trapezoid, there is a 2-inch segment going vertically upwards and a 2-inch segment angled back towards the center line. Within the trapezoid: - There is a rectangular cut-out that measures 2 inches in width and extends vertically 2 inches. **Task:** Calculate the centroid by using geometric and arithmetic methods to divide the shape into regular components. Calculate the area and moment of each part with respect to a convenient axis.
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