Given: A 16 ft horizontal beam AB is fixed at B and loaded as shown in the first figure below. The second figure shows the FBD of the beam with the reactions at B already calculated and shown in the correct directions. The beam, support, and loads are all in the plane of the paper and so this is 2D problem.
Find: Draw the V and M diagrams approximately to scale underneath the FBD of the beam shown on the next page using a scale of 1 division = 10 lb or 10 lb.ft. Show the main values, slopes of inclined lines, degrees of curves and values/locations of local maxima/minima on these V and M diagrams. Clearly show necessary calculations – especially those for local maxima/minima.
Figure:
100 lb
75 lb
20 lb/ft
6 ft
4 ft
A
100 lb.ft
50 lb/ft
75 lb
6 ft
B
Fixed
support
Figure 1: Beam
100 lb
75 lb
20 lb/ft
4 ft
6 ft
A
100 lb.ft
50 lb/ft
75 lb
60 lb.ft
70 lb
Figure 2: FBD of beam
