Please show calculations for each steps$/$problem$.$ Image of the calculations would be appreciated

Below presents a continuous beam with A being fixed and B is pinned and C has a roller.

Take: $\backslash ($ E$=200\backslash$mathrm$\{$GPa$\}\backslash )$

$\backslash ($ I$=8\backslash$times $10^\{6\}\backslash$mathrm$\{$~mm$\}^\{4\}\backslash )$

Load $\backslash (=2\backslash$mathrm$\{$kN$\}\backslash )$

You are tasked to analyze the continuous beam by calculating the:

$\backslash (>\backslash )$ the displacement on the beam at B and C and

$\backslash (>\backslash )$ the reaction at the supports

Using the following method:

Matrix Structural Analysis

$[50$ marks$]$

Finite Element Analysis

$[50$ marks$]$

Use the following steps as a guide to analyze the beam:

Matrix Structural Analysis

$\backslash (\backslash$checkmark $\backslash )$ Produce Notations

$\backslash (\backslash$checkmark $\backslash )$ Establish the known displacements and known external load

$\backslash (\backslash$checkmark $\backslash )$ Produce Member Stiffness Matrix

$\backslash (\backslash$checkmark $\backslash )$ Displacement and Load

$\backslash (\backslash$checkmark $\backslash )$ Calculating the displacement

$\backslash (\backslash$checkmark $\backslash )$ Calculating the reaction at the support

Finite Element Analysis

$\backslash (\backslash$checkmark $\backslash )$ Produce Notations

$\backslash (\backslash$checkmark $\backslash )$ Produce Member Stiffness Matrix

$\backslash (\backslash$checkmark $\backslash )$ Produce Global Stiffness Matrix

$\backslash (\backslash$checkmark $\backslash )$ Apply boundary conditions and reduce matrix

$\backslash (\backslash$checkmark $\backslash )$ Calculate Fix end loads$/$forces

$\backslash (\backslash$checkmark $\backslash )$ Produce the Global Coordinate for the Load Forces

$\backslash (\backslash$checkmark $\backslash )$ Calculate the displacement at the nodes

$\backslash (\backslash$checkmark $\backslash )$ Calculate the reaction at the support