Moments of Inertia for Composite Areas
y axes, we will need to use the parallel-axis theorem to
calculate the moments of inertia of those sections. The
moment of inertia for a cross-section where the centroid of
the cross-section does not align with the reference axis is
given by
$I = I + Ad^2$
Part C - Moment of Inertia of a Composite shape with a Hole about the x axis
For the shape shown below, calculate the moment of inertia about the $x$ axis.
(Figure 8)
The dimensions are $d_1 = 300$ mm, $d_2 = 175$ mm, $d_3 = 90$ mm, and $r = 80$ mm.
Express your answer to three significant figures and include the appropriate units.
$I_x = $
Part D - Moment of Inertia of a Composite shape with a Hole about the y axis
For the shape from Part C (shown again here for reference), calculate the moment of inertia about the y axis.
(Figure 8)
The dimensions are $d_1 = 300$ mm, $d_2 = 175$ mm, $d_3 = 90$ mm, and $r = 80$ mm.
Express your answer to three significant figures and include the appropriate units.
