Drawing Shear and Moment Diagrams - Beam With Hinges Example [2/3]

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In this video, we work through the analysis of a statically determinate beam that has multiple internal hinges. In this example, you’ll learn how to use the internal hinges to break up the structure into sub-structures in order to calculate the reactions.

We’ll introduce the technique of ‘tracing the loads across the structure’ in order to rapidly draw the complete shear force diagram. Then, you’ll learn how you can use the shear force diagram as a guide to sketch out the qualitative bending moment diagram.

Finally, we’ll make discrete cuts in the beam to identify the remaining unknown bending moments and complete the full bending moment diagram. This multi-step approach allows us to draw shear and moment diagrams quickly and accurately.

This is part 2 in a 3-part series on mastering shear and moment diagrams. Find parts 1 and 2 here…

Part 1 ➡️    • Drawing Shear and Moment Diagrams - Simple...  

Part 3 ➡️    • Drawing Shear and Moment Diagrams - 2D Fra...  

Timestamps
00:00 Intro
01:11 Calculating reactions
06:18 Explaining the technique
08:59 Constructing the shear force diagram
16:38 Sketching the bending moment diagram
25:48 Recap of shear and moment diagrams
27:23 Calculating bending moment at C
28:29 Calculating bending moment at E
29:31 Local maximum bending moment
30:36 Recap and wrapping up