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There are two ways to draw the shear and moment diagrams. First is by writing the shear and moment equations and the other which is more rapid is by using the relationship between load, shear, and moment. For any of the two methods, the first step is to find the reactions at the support(s).

Shear and moment diagram by writing the shear and moment equations

Cut the beam in every segment where there is a change of load. Draw the free body diagram to the left of each exploratory section. Write the shear and moment equations and with these equations, you can easily draw the shear and moment diagrams. For examples and the detailed step by step step instruction on how to do this can be found by the link below:

Using the relationship of load, shear, and moment

Drawing the shear and moment diagrams by using the relationship between load, shear, and moment is more rapid than writing the shear and moment equations. The relationship are as follows:

  1. The slope of shear = Load
  2. Slope of Moment = Shear
  3. Area of load = shear of a segment
  4. Area of shear = moment of a segment

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