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20 July, 00:44

Calculate the second moment of area of a 4-in-diameter shaft about the x-x and yy axes, as shown.

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  1. 20 July, 00:47
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    Second moment of area about an axis along any diameter in the plane of the cross section (i. e. x-x, y-y) is each equal to (1/4) pi r^4.

    The second moment of area about the zz-axis (along the axis of the cylinder) is the sum of the two, namely (1/2) pi r^4.

    The derivation is by integration of the following:

    int int y^2 dA

    over the area of the cross section, and can be found in any book on mechanics of materials.
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