Question
Download Solution PDFLocate the centroid with respect to base AB of a rectangular section shown in the figure. Consider that a part of the circular section with diameter 150 mm is removed.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The centroid of the section shown in the question =
Where,
y1 is the distance centroid of the rectangle from base AB
y2 is the distance centroid of the circle from base AB
Explanation:
Given,
Area of rectangle = 300 x 200 = 60000 mm2
The centroid of the rectangle from AB = 150 mm
Area of circle = \( \frac{\pi }{4}\)x1502 = 17671.46 mm2
The centroid of the circle from AB = 300-100 = 200 mm
Thus, Centroid = = \( \frac{60000*150-17671.46*200 }{60000-17671.46}\)=129.1 mm
Last updated on May 28, 2025
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