Assignment $12$: Shear and Moment Diagram $-$ Section Method

Problem:

For the following beam, express the shear and moment functions in terms of x $,$ and then draw the shear and moment diagrams for the beam.

Values are:

M$=23$ kN$/$m

P$=16$ kN

w$=18$ kN$/$m

L$1=2\mathrm{.}1$ m

L$2=2$ m

L$3=1\mathrm{.}5$m

Assessment Criteria:

Solution methods, $20\%$ : examine different solutions before the best solution is selected. You need to write down different solutions in steps.

Support reactions, $20\%$

Shear Force Diagram, $30\%$

Moment Diagram, $30\%$

Show step by step solution.