Consider the following continuous beam given in figure $1.$ Assume the supports at A and $D$ are

fixed and B and C are rollers. EI is constant throughout the continuous beam.

$($i$)$ Using slope deflection method

a$.$ Calculate all the fixed end moments

b$.$ Determine the moments at A$,$ B$,$ C and D$.$ That is

and $M_{DC})$

c$.$ Draw the bending moment diagram for the beam $($and indicate key values$)$

$($ii$)$ Using Space Gass computer software

a$.$ Plot the deformed shape

b$.$ Find the reactions of each support $($A$,$B$,$C and D$)$

c$.$ Draw the bending moment diagram for the beam verifying the answers obtained

by slope deflection method

d$.$ Draw the shear force diagram