MechMat: Normal Loading I

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MechMat 7: Normal Loading I – YouTube playlist

Mechanics of Materials – Session 7: Normal Loading
We discuss cases of normal loading in considering volumetric strain and dilatation, bulk modulus, and distributed axial loading.

Session 7: Normal Loading I
Date: September 27, 2024

Notes

Fa2024 Session 7: MechMat – Normal Loading I – Instructional Slides
Su2024 Session 7: MechMat – Normal Loading I – Instructional Slides
Su 2024 In-class and Office Hours Notes
Fa2023 Session 7: MechMat – Normal Loading I – Instructional Slides
Fa 2023 In-class and Office Hours Notes
Su2023 Session 7: MechMat – Normal Loading I – Instructional Slides
Su 2023 In-class and Office Hours Notes
Sp2023 Session 7: MechMat – Normal Loading – Complete
Session 7: MechMat- Normal Loading – Colab IPython

Select Assigned Questions

Session 7 – Question 1
Change in Length of a Side of a Cube under Hydrostatic Pressure
Correction: Please note that I accidentally used the bulk modulus of silicone rubber (66.7 GPa) instead of polycarbonate (2.6 GPa). I selected the wrong value from the table for Example 7.1 of the notes for Session 7. Thank you to students in the class, who pointed out my mistake.

Session 7 – Question 2
Change in Length of a Hanging Bar under the Influence of Gravity

Session 7 – Question 3
Distributed Force along a Blade Spinning with Constant Angular Velocity

Session 7 – Question 4
Internal Axial Force along a Blade Spinning with Constant Angular Acceleration

Session 7 – Question 6
Maximum Axial Stress in a Blade Spinning at Constant Velocity

Session 7 – Question 6
Total Axial Displacement of a Spinning Blade with Constant Angular Velocity

Additional Videos

Session 7: Normal Loading I
Date: June 5, 2024

Session 7: Normal Loading I
Date: June 7, 2023

Fa 2023 Live Session 7: Normal Loading I
Date: September 26, 2023

Volumetric Strain for Tri – Axial Loading | Stresses and Strains | Strength of Materials |
This video (watch up to 8:50) derives an expression for volumetric strain.

Bulk Modulus of Elasticity and Compressibility
This video describes the bulk modulus of a material.

Bulk Modulus of Elasticity and Compressibility – Fluid Mechanics – Physics Practice Problems (The Organic Chemistry Tutor)
Watch up to 4:35.

Factor of Safety and its Importance
This video describes a designer’s perspective on factors of safety.

Factor of Safety and its importance | Factors of FOS (Untangle Club)
Watch up to 5:26.

Mechanics of Materials: Lesson 6 – Factor of safety Explained, Example Problem
This video describes factor of safety in terms of the allowable load divided by the actual load or the allowable stress divided by the actual stress.