
Concept explainers
Find the moment of inertia

Answer to Problem 9.41P
The moment of inertia about x axis is
The moment of inertia about y axis is
Explanation of Solution
Given information:
The width
The height
The width
The height
Calculation:
Sketch the cross section as shown in Figure 1.
Refer to Figure 1.
Here, area of flange 1 is equal to area of flange 3.
Find the Area
Substitute
Find the Area
Substitute
Find the total area (A) of section using the relation:
Substitute
Find the centroid section
Find the centroid section
Find the centroid
Substitute
Find the moment of inertia
Here,
Substitute
Find the moment of inertia
Substitute
Find the total moment of inertia
Substitute
Thus, the moment of inertia about x axis is
Find the moment of inertia
Substitute
Find the moment of inertia
Substitute
Find the total moment of inertia
Substitute
Thus, the moment of inertia about y axis is
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Chapter 9 Solutions
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