Load diagram - shear force and bending moment, Mechanical Engineering

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.

 

2137_Load Diagram and BMD from the Given SFD.png

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,

Take A-F

Load moves from A to F,

Load intensity at A = RA  = Last load - first load = 3.5 - 0 = 3.5KN

1979_Load Diagram and BMD from the Given SFD3.png

Now load diagram is given in fig 12.30

72_Load Diagram and BMD from the Given SFD1.png

 

Now Calculation for BMD

Taking moment about any point gives the value of bending moment at that point.
Take left portion of the beam

554_Load Diagram and BMD from the Given SFD2.png

Draw BMD with the help of obtained value.

Posted Date: 10/20/2012 2:03:27 AM | Location : United States







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