The $4-$span beam with dimensions $300$mm x $700$mm as shown Figures $1($a$)$ to $1($c$)$ is an indeterminate beam subjected to three different load cases. Analyse the beam for the three loading cases using "Moment Distribution Method".

$($A$)$Using modified stiffness factor method, determine the distribution factors for all joints.

$($B$)$Calculate the fixed$-$end moments at all the supports.

$($C$)$Determine the final member end moments by using Moment Distribution Method with modified stiffness factor. $[$The calculation is considered complete when each of the balancing moments $($distribution moments$)$ is less than $0\mathrm{.}2$ kNm$].$

$($D$)$Draw the free$-$body diagrams for the beam.

$($E$)$Determine the reaction forces at all supports.

$($F$)$Draw the shear force diagram envelope diagram for all the three load cases

$($G$)$Draw the bending moment envelope or all the three load cases.