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Click here for Example 4 (cantilever beam - cut section method).

Click here for Example 5 (integration method).

Click here for Examples 6 to 8 (direct method).

Click here for Example 9 (superposition method).

Topic 4- Beam Internal Forces and Moments

The first example uses the cut section method to find shear and moment values at specific points.  In example 2 we generate equations and make graphs.

The next example is a simply supported beam, and is analyzed by the cut section method to determine the shear force and bending moment equations:

Here is an example of the cut section method with a cantilever beam:
 

The next chart shows the methods we will be using to analyze beams for static internal forces, with comments on the applicability of each method.

The following example demonstrates the integration method (and direct method on page 5):

The next three examples use the direct method to determine the shear and moment diagrams.

Here we have a chart showing some general simply supported beam V, M values and graph shapes.  We can use these with the method of superposition.

Here is an example of using the method of superposition on a simple beam.

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