TASK $3$: DRAW THE SHEAR FORCE and BENDING MOMENT DIAGRAMS $30\backslash \%$

A beam of length $9$ m is subjected to the loading as shown in Fig. $3.$ The uniformly distributed load acts between $\backslash (\backslash$boldsymbol$\{$A$\}\backslash )$ and $\backslash (\backslash$boldsymbol$\{$B$\}\backslash ),$ has the value of $\backslash (3\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash ).$ Also, uniformly distributed load acts between $\backslash (\backslash$boldsymbol$\{$C$\}\backslash )$ and $\backslash (\backslash$boldsymbol$\{$E$\}\backslash ),$ has the value of $\backslash (6\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash ).$ Point loads of $9$ kN and $14$ kN act at points $\backslash (\backslash$boldsymbol$\{$B$\}\backslash )$ and $\backslash ($ D $\backslash )$ respectively.

Fig. $3$

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

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

$(8$ marks$)$

important values;

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

$(10$ marks$)$

important values.

$(12$ marks$)$