A continuous beam is supported by a spring at $D$ with spring constant of $40k\frac{N}{m}$ as shown. Determine the reactions at the supports A and $B$ and the spring force and draw the bending moment diagram. Given $E=200$GPa,$I=4{10}^{7}m{m}^4.($Hint : take the spring force as unknown$).($Ans : $($:$A_y=-9\mathrm{.}495kN,B_y=24\mathrm{.}848kN,D_y=4\mathrm{.}646kN\}$