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Solve The Following Problems

This document provides 5 problems to solve related to determining properties such as radius of gyration, moment of inertia, product of inertia, and maximum and minimum moments of inertia for various shaded areas with respect to specified axes based on information given in figures. Students are instructed to solve these problems after reviewing prepared lessons on the topics.

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Karl Eliezer
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65 views2 pages

Solve The Following Problems

This document provides 5 problems to solve related to determining properties such as radius of gyration, moment of inertia, product of inertia, and maximum and minimum moments of inertia for various shaded areas with respect to specified axes based on information given in figures. Students are instructed to solve these problems after reviewing prepared lessons on the topics.

Uploaded by

Karl Eliezer
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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After going through the prepared lessons, solve the following problems.

1. Determine the radius of gyration of the shaded area


with respect to the specified y axis.

2. Obtain the moment of inertia of the composite area


about the specified x and y axes.

3. Two 10-in 15.3-lb channels are welded together as shown in


the figure. Compute the value of .

4. Determine the product of inertia of the area shown


with respect to the x and y axes.
5. Determine the moments of inertia and the product
of inertia of the shaded area in the figure with
respect to new centroidal axes obtained by
rotating the x and y axes 30° counterclockwise.
Also, determine the maximum and minimum
moments of inertia of the area.

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