Problem 1
The beam shown in Figure 1.1 is subjected to distributed load and a point load.
a) Draw all necessary free-body diagrams using the method of sections and find symbolic functions for the internal shear force ($V(x)$) and bending moment ($M(x)$) due to the external forces where $x$ is a horizontal coordinate along the length of the beam, measured from the most left support of the beam. Your expression(s) must allow to obtain internal reactions for $0 \le x \le L$, where $L$ is the length of the beam.
b) For each internal resultant loading, find the maximum and minimum values anywhere in the beam.