- Shear Force and Bending Moment (Example 9)
In this series of videos, I'll explain how you can write expressions for the shear force and bending moment of different types of beams as functions of x, and using those functions, you will be able to draw accurate shear force and bending moment diagrams for the beams.
In the ninth example, I'll utilize the same concept used in the previous videos to write expressions for the shear force and bending moment as functions of x and draw their diagrams for a simply supported beam with a trapezoidal load applied over the length of the beam.
▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬
0:00 - Review
0:34 - Question
1:10 - Step 1: Drawing the FBD diagram of the entire beam
1:47 - Step 2: Writing the equations of equilibrium for the entire beam and determining the support reactions
6:48 - Step 3: Cutting the beam at distance x and drawing the FBD diagram of any of the cut segments
8:19 - Step 4: Writing the equations of equilibrium for any of the cut segments and determining V & M
17:37 - Drawing the shear force and bending moment diagrams using the determined equations for them
21:20 - Outro
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