Solve part a$,$ b$,$ and c$,$ please

Learning Goal:

To calculate the shear flow at a point in the flange of an I$-$beam section subject to a shear force.

A thin$-$walled structure is one where the wall thickness is small compared to its height or width. When a thin$-$walled beam section is subjected to a shear load, internal shear causes stresses to develop primarily parallel to the wall. The distribution of this shear stress can be described by the shear flow, which is the shear force per unit length parallel to the wall.

The shear flow at a point is given by q$=$VQ$/$I$.$ Here V is the shear force on the section and II is the moment of inertia of the section. The value of Q is a bit more complex. For the shear flow at a point, Q is the moment of the area above the point about the neutral axis $($Figure $1).$ An I$-$beam has a flange width b $=250$ mm $,$ height h $=250$ mm $,$ web thickness tw $=9$ mm $,$ and flange thickness tf $=14$ mm $.$ Use the following steps to calculate the shear flow at the point shown, where x $=80$ mm $.$

$($Figure $2)$ Part A $-$ Moment of inertia

The formula for the shear flow includes the moment of inertia of the whole cross section, I, about the neutral axis. Calculate the moment of inertia.

Express your answer with appropriate units to three significant figures. Part B $-$ Q for the given point

The shear flow at the point depends on the value of Q for the portion of the upper flange to the right of the point. Calculate the value of Q$.$

Express your answer with appropriate units to three significant figures. Part C $-$ Shear flow

Use the results from Parts A and B to calculate the shear flow at the point in the upper flange $80$ mm to the right of the web if the shear force on the section is V $=7\mathrm{.}8$ kN $.$

Express your answer with appropriate units to three significant figures. Figure

Figure

$2$ of $2$