MechMat: Beams V – Deflection


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MECHMAT 24: Beams V – Deflection – YOUTUBE PLAYLIST

Session 24.1 Beams V – Deflection – Derived Relationships for Deflection

Session 24.1 Beams V – Deflection – Derived Equations

Session 24.2 Beams V – Deflection – Procedure for Calculating Deflection

Session 24.2 Beams V – Deflection – Procedure for Calculating Deflection
I made a couple of mistakes in Example 24.2. Please refer to the updated notes for Su2023 below. The principles and approaches are fine in Example 24.2, but I added an extra L and for the initial expressions of moments and integrated one expression incorrectly.

Session 24.3 Beams V – Deflection – Statically Indeterminate Beams

Session 24.3: Beams V – Deflection – The Ways of the Engineer

Mechanics of Materials – Session 24: Beams V – Deflection
In-class problem-solving in small groups working on problems involving deflection of beams.

Fa 202 Live Session 24: Beams V – Deflection
Date: December 6, 2024
Su 2024 Live Office Hours and Session 24: Beams V – Deflection
Date: July 2, 2024
Fa 2023 Live Session 24: Beams V – Deflection
Date: December 5, 2023
MechMat Session 24: Beams V (Deflection) – In-class Session (Mechanics of Materials)
Date: July 7, 2023

Notes

Fa2024 Session 24: MechMat – Beams V – Deflection – Instructional Slides
Fa2023 Session 24: MechMat – Beams V – Deflection – Instructional Slides
Fa 2023 In-class and Office Hours Notes
Su2023 Session 24: MechMat – Beams V – Deflection – Instructional Slides
Su2023 In-class and Office Hours Notes
Sp2023 Session 24: MechMat – Beams V – Deflection – Instructional Slides
Sp2023 MechMat In-class Notes Starting from Session 9

Select Assignment Questions

Session 24 – Question 1
How to calculate the elastic curve/deflection of a cantilevered beam with an applied load at the end using Euler-Bernoulli beam bending equations
Session 24 – Question 2
How to calculate the elastic curve/deflection along a simply supported beam with an applied coupled moment halfway along the beam using Euler-Bernoulli beam bending equations. Phew… that’s a long phrase.
Session 24 – Question 3
How to Calculate Displacements and Stresses in a Cantilevered Beam Using a Table for Euler-Bernoulli Bending and Finite Element Method (FEM) in FreeCAD

Online Text

Euler–Bernoulli beam theory – Wikipedia
Beams – Wikiversity
Roark’s Formulas for Stress and Strain – Wikipedia
List of finite element software packages – Wikipedia

For complementary information, see our YouTube Channel and the Wikibook.

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