- Shear Force and Bending Moment (Example 8)
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 eighth 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 a cantilever beam with an applied moment at the tip, a uniformly distributed (rectangular) load, and two point loads.
▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬
0:00 - Intro
0:14 - Question
0:29 - Step 1: drawing the FBD diagram of the entire beam
0:57 - Step 2: Writing the equations of equilibrium for the entire beam and determining the support reactions
4:03 - Step 3: Cutting the beam at different segments and drawing the FBD diagram of each segment
6:55 - Step 4: Writing the equations of equilibrium for each segmen and determining V & M
11:24 - Drawing the shear force and bending moment diagrams using the determined equations for them
14:35 - Outro
#statics #mechanics #engineering #engineer #civilengineering #civil_engineering #mechanical_engineering #mechanicalengineering #problem_solving #tutorial #structure #structuralengineering #structuralanalysis #mechanicsofmaterials #solidmechanics #strengthofmaterial #strengthofmaterials #beam #shear #moment #bendingmoment #bendingmomentdiagram #shearforce #shearforcediagram