Use the graphical method to construct the shear$-$force and bending$-$moment diagrams for the beam shown. Let $a=1\mathrm{.}4m,b=4\mathrm{.}2m,c=2\mathrm{.}8m,P=23kN,$ and $w=40k\frac{N}{m}.$ Label all significant points on each diagram and identify the maximum shear force and bending moment along with their respective locations. Clearly differentiate straight$-$line and curved portions of the diagrams.

Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section $7\mathrm{.}2$ of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number.

Calculate the reaction force and moment at D$.$ Forces are positive upwards and to the right. Moments are positive counter$-$

clockwise.

Answer:

$D_y=,kN$

$M_D=,kN*m$