Problem $1$: A sample is tested with the loading shown below, where $\backslash ($ B $\backslash )$ is a pin and $\backslash ($ E $\backslash )$ is a roller. It has a Tshaped cross section with dimensions provided below. Point $\backslash ($ K $\backslash )$ is $100$ mm from the bottom.

Determine the Second Moment of Area, I

b$)$ Determine the equations of shear and moment as functions of x$.$ Clearly note what intervals of x

the equations are valid for $($i$.$e$.0$