Question $1[25$ Marks$]$

A simply supported beam is loaded as shown in Figure $1$ below.

$1\mathrm{.}1$ Calculate the reactions at the supports.

$[6]$

$1\mathrm{.}2$Calculate the shear force and bending moment values at the following points A$,$ B$,$ C$,$ D$,$ E and F on the beam.

$[5]$

$1\mathrm{.}3$ Draw the shear force and bending moment diagrams.

$[8]$

$1\mathrm{.}4$ Find out the maximum shear force and the section at which it occurs. $[2]$

$1\mathrm{.}5$ Find out the maximum bending moment and the section at which it occurs.

$[4]$