Task $2-$ Analysis $-40\%$

A beam of length $9m$ is subjected to the loading as shown in Fig. $2.$ The uniformly distributed load acts between A and $B,$ has the value of $10k\frac{N}{m}.$ Point load of $3kN$ act at point $C.$

$($i$)$ Calculate the support reactions at A and B;

$(10$ marks$)$

$($ii$)$ Draw the shear force diagram for the beam showing all important values;

$(15$ marks$)$

$($iii$)$ Draw the bending moment diagram for the beam showing all important values.

$(15$ marks$)$