Question $6$

$6$

Answer this question on the OCR page $21$ only.

Please ensure that you answer on the CORRECT page

Stay within the green outline of the block.

A symmetrical rectangular beam has semi$-$circular cutouts on the sides as shown in the crosssections below.

The $x-$ and $y-$axes pass through the centroid, $C,$ of the beam.

Answer the following questions. Clearly show all sleps in your calculalions.

$6\mathrm{.}1$ Calculate the moment of inertia of the shaded area about the $x-$axis, $I_x$

$2$

$6\mathrm{.}2$ Calculate the moment of inertia of the shaded area about the $y-$axis, $I_u$

$4$

Question $6$

$6$

Answer this question on the OCR page $21$ only.

Please ensure that you answer on the CORRECT page

Stay within the green outline of the block.

A symmetrical rectangular beam has semi$-$circular cutouts on the sides as shown in the crosssections below.

The $x-$ and $y-$axes pass through the centroid, $C,$ of the beam.

Answer the following questions. Clearly show all sleps in your calculalions.

$6\mathrm{.}1$ Calculate the moment of inertia of the shaded area about the $x-$axis, $I_x$

$2$

$6\mathrm{.}2$ Calculate the moment of inertia of the shaded area about the $y-$axis, $I_u$

$4$