Question One:

For the cross$-$section shown below:

a$)$ Determine the location of the centroid of the cross$-$section

b$)$ Find second moments of area $I_{},I_{yy},I_{xy}$ about the centroidal axes

c$)$ Find the centroidal principal second moments of area $I_{\text{m}\text{a}\text{x}},I_{\text{m}\text{i}\text{n}}$

d$)$ Draw a sketch, showing the orientation of the principal axes over the cross$-$section, specifying

the magnitude of the principal angle

Units shown are in millimetres.Question One:

For the cross$-$section shown below:

a$)$ Determine the location of the centroid of the cross$-$section

b$)$ Find second moments of area $,,$ xx yy xy I I I about the centroidal axes

c$)$ Find the centroidal principal second moments of area max min $,$ I I

d$)$ Draw a sketch, showing the orientation of the principal axes over the cross$-$section, specifying

the magnitude of the principal angle