QUESTION $1$

For the composite section shown in Figure Q$1$

$1\mathrm{.}1$ Find the moment of inertia and product of inertia about a horizontal and a vertical axis through the centroid. Use the section tables for standard sections $($all dimensions are in millimetres$).$

$1\mathrm{.}2$ Considering the new coordinate frame $(x^{\text{'}},y^{\text{'}})$ which is turned through an angle of $$ anticlockwise to the old coordinate frame $(x,y),$ draw Mohr's circle of inertia to a suitable scale, read values of the moment of inertia and product of inertia for $10$ different directions and fill in Table Q$1.$

$1\mathrm{.}3$ Use the formulae to verify the answers obtained for $1\mathrm{.}2.$

Figure Q$1.$ All the dimensions are in mm$.$

Table Q$1$

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