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MECHMAT 12: BEAMS II – YOUTUBE PLAYLIST
Session 12.1 Beams II – Shear Force and Bending Moments (Equilibrium)
This video describes an equilibrium-based technique for plotting the shear force and bending moments across a beam. There is a simple example of a cantilevered beam with a transverse force at the end, an example of a beam loaded with a distributed force, and a question with a pinned-pinned beam with a distributed force acting halfway along the beam.
Session 12:Q1 Pinned-Pinned Beam with Distributed Force
For a beam with the following parameters, what is the maximum bending moment along the beam?
Session 12.2 Beams II – Shear Force and Bending Moments (Integrals and Differentials)
This video describes a technique for plotting the shear force and bending moments across a beam using the integral and differential forms relating distributed forces to internal shear forces and internal shear forces to internal bending moments. There is an example of a beam loaded with a distributed force. The question involves a pinned-pinned beam with a distributed force acting across the beam.
Session 12:Q2 Pinned-Pinned Beam with Distributed Force
For a beam with the following parameters, what is the maximum bending moment along the beam?
Session 12.3 Beams II – Managing Discontinuities in Forces and Moments
This video describes how to handle a discontinuity in a force applied transversely at a point along a beam and how to handle a concentrated moment applied at a point along a beam. There is an example of a pinned-pinned beam with an applied moment halfway along the beam. The question involves solving for the maximum bending moment along a beam with both an applied force and an applied moment as shown below.
Session 12:Q3 Pinned-Pinned Beam with Concentrated Force and Concentrated Moment
For a beam with the following parameters, what is the maximum bending moment along the beam?
Notes
Fa2023 MechMat Session 12: MechMat – Beams II – Instructional Slides
Fa 2023 In-class and Office Hours Notes
Su2023 MechMat Session 12: MechMat – Beams II – Instructional Slides
Su2023 In-class and Office Hours Notes
Sp2023 MechMat In-class Notes Starting from Session 9
Sp2023 Session 12: MechMat – Beams II – Instructional Slides
Session 12: MechMat- Beams II – Colab IPython
Mechanics of Materials – Session 12: Beam Bending II
In-class discussion of how to approach the graphing and plotting of shear forces and bending moments along a beam.
Date: October 17, 2023
Date: June 12, 2023
Date: February 21, 2023
Additional Video Content
Understanding Shear Force and Bending Moment Diagrams
This video provides an excellent description of how to plot shear force and benindg moment diagrams along a beam with transverse loads.
Watch all 16:22
Online Text
4.1: Shear and Bending Moment Diagrams – Engineering LibreTexts
The Ultimate Guide to Shear and Moment Diagrams | DegreeTutors.com
6.2 Shear/Moment Diagrams – Engineering Mechanics: Statics (upei.ca)
Ultimate Guide to Shear Force and Bending Moment Diagrams – Engineer4Free: The #1 Source for Free Engineering Tutorials
Structural Analysis and Design | SkyCiv Engineering
For complementary information, see our YouTube Channel and the Wikibook.
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