Load Diagram and BMD from the Given SFD:
Q: Shear force diagram of simply supported beam is given in the figure below. Calculate the support reactions of beam and draw bending moment diagram of beam.
Sol.: For given SFD, First we draw load diagram, and then with the help of load diagram we draw the BMD.
As slope in SFD is zero. So it indicates that the beam is subjected to point loads. Let RA and RB be the support reaction at points A and B and the load RC, RD and RE in down direction at points C, D and E respectively.
Here graph of SFD moves from A-F-G-C-D-H-E-J-K-B Take two points continuously,
Load moves from A to F,
Load intensity at A = RA = Last load - first load = 3.5 - 0 = 3.5KN
Now load diagram is given in fig 12.30
Now Calculation for BMD
Taking moment about any point gives the value of bending moment at that point. Take left portion of the beam
Draw BMD with the help of obtained value.