Shear & Moment Equations | Trapezoidal Load on Overhanging Beam (Method of Sections)

Shear Force and Bending Moment (Example 11)

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 eleventh example, which is selected from Hibbeler's Structural Analysis, 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 an overhanging beam with a trapezoidal distributed load applied over the length of the beam.

▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬

0:00 - Intro
0:14 - Question
1:15 - Review
2:05 - Step 1: Drawing the FBD of the entire beam
2:46 - Step 2: Writing the equations of equilibrium for the entire beam and determining the support reactions
7:10 - Step 3: Cutting the beam at different segments and drawing the FBD diagram of each segment
10:52 - Step 4: Writing the equations of equilibrium for any of the cut segments of each section and determining their V & M
20:27 - Drawing the shear force and bending moment diagrams using the determined equations for them
24:21 - Outro

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