The two

$-$

span continuous beam shown below is supported on three springs having the

same constant

$($

k

$=$

$1$

$0$

$0$

$0$

$$kN

$/$

m

$)$

$.$

$$Show all DOFs on a continuous beam sketch and state

the beam boundary conditions. Construct the structure stiffness relationship

$\{$

F

$\}$

$=$

$[$

K

$]$

$.$

$\{$

d

$\}$

$$for the beam. Also, determine all beam nodal displacements, reaction and member forces. Please provide the SFD and BMD

$.$

$$Consider E

$=$

$2$

$1$

$0$

GPa and I

$=$

$4$

$$x

$1$

$0$

$-$

$4$

$$m

$4$

$.$

NOTE: You Must make use of the beam symmetry.