# Horizontal and vertical area moment of inertia

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Find the horizontal and vertical area moment of inertias of the cross-section shown with respect to its centroid.

b1 = 55.0mm

b2 = 20.0mm

b3 = 32.0mm

r1 = 0.0mm

r2 = 20.0mm

r3 = 80.0mm

r4 = 100.0mm

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The solution calculates the horizontal and vertical area moment of inertias.

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Find the horizontal and vertical area moment of inertias of the cross-section shown with respect to its centroid.

b1 = 55.0mm

b2 = 20.0mm

b3 = 32.0mm

r1 = 0.0mm

r2 = 20.0mm

r3 = 80.0mm

r4 = 100.0mm

Please show all work.

Solution:

Step 1) find all the necessary lengths as follows

Step 2) locate the coordinate axis

In this case, the problem says "vertical and horizontal".

Then divide the total area into small parts of which ...

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