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    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

    © BrainMass Inc. brainmass.com October 9, 2019, 7:09 pm ad1c9bdddf
    https://brainmass.com/engineering/manufacturing-engineering/horizontal-vertical-area-moment-inertia-109428

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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 ...

    Solution Summary

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

    $2.19