$1.$ A T$-$shaped beam supports a load of $7000$ lb $,$ which is applied $5$ in $.$ from the surface of the flange as shown below.

a$.$ Determine the normal stresses at $\backslash ($ H $\backslash )$ and $\backslash ($ K $\backslash ).$

b$.$ Sketch the normal stress distribution along the depth of the cross section.

c$.$ Compute the location of the neutral axis after adding all stresses measured from the base of the column.