Do the following for the given beam $(E$ constant$)$ and loadings using the Moment

Distribution Method $($remember to show the details of all calculations and

show separate free body diagrams for all statics calculations$).$

a$.$ Calculate Fixed End Moments

b$.$ Determine Distribution Factors. Note that the Moment of Inertia of AB is

I and of $BC$ is $2$I.

c$.$ Calculate member end moments using the Moment Distribution Method.

d$.$ Draw a complete and correct free body diagram for column $AB$ on the

provided graph paper in the location shown. You need to show end shears

and moments but do not need to calculate the axial force in column $AB.$

e$.$ Draw the resulting shear and moment diagrams for column $AB$ on the

graph paper attached to this test. To draw the shear and moment diagrams

you will need to write equations for both shear and moment using the

given coordinate system $($the origin for $x$ is at $B$ and pointed towards $A).$

$Be$ sure to determine and label all maximum and minimum shears and

moments and their respective locations. Also, clearly label the sign of the

shear in the column and plot the moment diagram on the compression side

of the member.