Question $3$

Figure Q$3$ shows a symmetrically loaded beam, loaded at the leftmost position A $(x=0m)$ with $20kN$ and rightmost position $D($to be calculated$)$ with $20kN.$

There is also a UDL of $10k\frac{N}{m}$ located in the middle of the beam spanning from position B to position C$,$ see Figure Q$3$ for the start and end positions.

The $Y$ length spans for $1\mathrm{.}4m$ and the $Z$ length spans for $2\mathrm{.}4m.$

There are two reaction forces of $R_A$ at position A and a further reaction force of $R_D$ at position $D($to be calculated$).$

Calculate the Shear Force value $($using the sign convention given to you in the module's formula book$)$ at a position of $x=1\mathrm{.}9m.$

State your answer in kilo$-$Newtons to one decimal place.

Figure Q$3$

$(5$ marks$)$