ASM Example 3

<< Back to Axial, Shear, & Moment Diagrams The force and moment diagrams are going to look really similar to the ones found in Example 1. Instead of showing all the steps to solving this example, we should just focus on the differences. You can always refer to the Example 1 solution here.

With no additional forces to the beam, the free body diagram (FBD) is the same as before. Because of this, there is no added shear force and bending moment in the cantilevered end. Consider the following: Example 3 FBDYou can always sum forces and moments starting from either ends. In Examples 1 and 2, we sum forces and moments starting from the left end. Here, if we start summing forces and moments from the right end, we can clearly see that shear (V) and bending moment (MZ) are zero in the cantilever, because there are no external forces and moments.

Therefore, from supports A to B on the beam, the shear force and bending moment diagrams (SFD and BMD) are the same as the ones found in Example 1. Since there is no bending and shear force in the cantilever, the entire SFD and BMD look like:

Example 3 SFDSFD

Example 3 BMDBMD

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