For the cross sectional area shown in the Figure: below: a) Locate the centroid in both the X and Y directions. b) Determine the second moment of area about a horizontal axis through the centroid of the section.

For the cross sectional area shown in the Figure: below: a) Locate the centroid in both the X and Y directions. b) Determine the second moment of area about a horizontal axis through the centroid of the section.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.40P: By integration, find the centroid of the surface of the hemisphere. Compare your result With Table...

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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

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Please dont give hand written solution

For the cross sectional area shown in the Figure: below: a) Locate the centroid in both
the X and Y directions. b) Determine the second moment of area about a horizontal axis
through the centroid of the section.
40 mm
-10 mm
C
10 mm
30 mm
20 mm
x

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Step 1: Calculate the centroid and the second moment of area about a horizontal centroidal axis

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Step 2: a) Calculation of the location of centroid

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Step 3: b) Calculation of the second moment of area about a horizontal axis through the centroid

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