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MechMat 3: Axial Loading – YouTube playlist
Mechanics of Materials – Session 3: Axial Loading
We discuss the axial loading of bars, their treatment as springs, superposition and indeterminate systems.
Notes
Fa 2023 Session 3: MechMat – Axial Loading – Instructional Slides
Fa 2023 In-class and Office Hours Notes
Su2023 Session 3: MechMat – Axial Loading – Instructional Slides
Su 2023 In-class and Office Hours Notes
Sp2023 Session 3: MechMat – Axial Loading – Instructional Slides
Colab
Session 3: MechMat – Axial Loading – Colab IPython Jupyter Notebook
Additional Videos
Fall 2023 Live Session 3: Axial Loading
Bars as springs – Hooke’s Law, Superposition, and Indeterminate Axial Loading
Hooke’s Law and Elastic Potential Energy
Review of Hooke’s Law and Spring Constants. Note the opposite signs of the force applied to the spring and restoring force/spring force acting against the pulling force.
Equivalent Stiffness of Springs in Parallel and Series
Straightforward derivations of equivalent spring coefficients/constants for springs in parallel and springs in series.
Axial Loading – Statically Indeterminate Example 1 (Statics)
This video explains the setup for an axially indeterminate system in terms of reaction forces and geometric compatibility.
L2.6 – Axial Loading, Superposition
This video describes how the principle of superposition is relevant to axial loading.
Online Text
lec7.pdf | Mechanics & Materials I | Mechanical Engineering | MIT OpenCourseWare
lec8.pdf | Mechanics & Materials I | Mechanical Engineering | MIT OpenCourseWare
What is Hooke’s Law? (article) | Khan Academy
1.2: Hooke’s Law – Physics LibreTexts
Spring (device) – Wikipedia
Superposition principle – Wikipedia
Hooke’s law – Wikipedia
Series and parallel springs – Wikipedia
Printed Text
For complementary information, see our YouTube Channel and the Wikibook.
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