Problem $1$: Shear Force and Bending Moment Diagrams $(6$ marks$)$

Draw the Shear Force and Bending Moment Diagrams of the frame loaded as shown in Figure $1$ below.

Make use of free body diagrams and show salient points i$.$e$.,$ locations and magnitudes of maximum

and minimum values. Support at A and D are pin and there is an internal pin $($hinge$)$ at B$.$

Mark distribution:

Reactions and Free body diagrams $2\mathrm{.}5$ marks

Shear force diagram $1\mathrm{.}5$ marks

Bending moment diagram $2$ marks

Total marks for Problem $16$ marks

Figure $1$

$1$ m

$2$ m

$3$ m

$2$ m $1$ m $1$ m

A

C E

B

D

$5$ kN$/$m

$20$ kN $5$ kN$/$m

$10$ kN$/$m