MechMat: Axial Loading

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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.

Session 3: Axial Loading – Bars as springs, Superposition, and Indeterminate Loading of Bars
Date: May 30, 2024

Notes

Su 2024 Session 3: MechMat – Axial Loading – Instructional Slides
Su 2024 In-class and Office Hour 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

Select Assignment Questions

MechMat Session 3 – Question 1: Axial Loading – Deformation/Displacement of a Bar with an Effective Spring Constant

Session 3 – Question 5: Axial Loading – Effective Spring Constant a Network of Bars

Session 3 – Question 6: Axial Loading – Overall Displacement on a Network of Bars with a Rotating Beam

Session 3 – Questions 3 and 4: Axial Loading – Overall Displacement and Internal Deformation of a Bar with Multiple External Loads

Session 3 – Question 2: Axial Loading – Calculation of Reaction Force in an Indeterminate System with a Loaded Bar Constrain between Two Walls

Additional Videos

Session 3: Axial Loading – Bars as springs, Superposition, and Indeterminate Loading of Bars
Date: January 25, 2023

Fall 2023 Live Session 3: Axial Loading
Bars as springs – Hooke’s Law, Superposition, and Indeterminate Axial Loading

Fa 2023 Live Session 3: Axial Loading
September 12, 2023

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.

Hooke’s Law and Elastic Potential Energy (The Organic Chemistry Tutor)
Watch up to 2:51.

Equivalent Stiffness of Springs in Parallel and Series
Straightforward derivations of equivalent spring coefficients/constants for springs in parallel and springs in series.

Equivalent Stiffness of Springs in Parallel and Series | Pankaj Porwal
Watch all 4:48.

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.