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MechMat 4: Stress and Strain – YouTube playlist
Mechanics of Materials – Session 4: Stress and Strain
We discuss normal stress, shear stress, normal strain, shear strain, and stress tensors.
Date: January 27, 2023
Notes
Fa 2023 Session 4: MechMat – Stress and Strain – Instructional Slides
Fa 2023 In-class and Office Hours Notes
Su2023 Session 4: MechMat – Stress and Strain – Instructional Slides
Su 2023 In-class and Office Hours Notes
Sp 2023 Session 4: MechMat – Stress and Strain – Instructional Slides
Colab
Session 4: MechMat- Stress and Strain – Colab IPython
Additional Videos
Fa2023 Live In-class Video for Session 4
Date: September 14, 2023
Su2023 Live In-class Video for Sessions 3 and 4
An introduction to Stress and Strain
This video may be the best graphical description I have seen on stress and strain. The selected portion of the video describes axial stress in a bar. “Stress is a quantity that describes the distribution of internal forces within a body… Tensile stresses are positive values, and compressive stresses are negative values.”
Watch up to 3:44.
An Introduction to Stress and Strain
The selected portion of the video describes axial strain in a bar. “Strain is a quantity that describes the deformations that occur within a body.”
Watch from 4:04 to 4:48.
An Introduction to Stress and Strain
The selected portion of the video describes shear stress and shear strain.
Watch from 6:29 to 8:15.
Shear Stress and Shear Strain | Mechanical Properties of Solids
This video uses graphics to explain the definitions of shear stress and shear strain.
Watch from 2:03 to 3:50.
Mechanics of Materials: Lesson 4 – Shear Stress, Single and Double Shear Example
This video describes configurations of pins for single shear and double shear stress.
Watch from 1:29 to 4:22.
3D Stress Tensor Notation
This video describes the notation and conventions used for describing stress acting on an element in three dimensions as a tensor.
Watch all 3:53.
What the HECK is a Tensor?!?
This video describes the representation of a state of stress as a tensor. A tensor is “a number or a collection of numbers that maintains it meaning under transformations.”
Watch up to 4:45.
What the HECK is a Tensor?!?
This portion of the video describes how to use a tensor with a state of stress and the face of an object.
Watch from 8:53 to 10:13.
Online Text
Stress (mechanics) – Wikipedia
Shear stress – Wikipedia
Normal and Shear Strain – Deformation (physics) – Wikipedia
Shear Strain: Definition, Formula, Diagram, Units, Examples (mechcontent.com)
Mechanics of Materials: Stress » Mechanics of Slender Structures | Boston University (bu.edu)
1.1: One-dimensional Strain – Engineering LibreTexts
1.2: Extension to the 3-D case – Engineering LibreTexts
Multiaxial Stress – lec11.pdf | Mechanics & Materials I | Mechanical Engineering | MIT OpenCourseWare
Multiaxial Stress and Strain – lec12.pdf | Mechanics & Materials I | Mechanical Engineering | MIT OpenCourseWare
Printed Text
Hibbeler, Sections 1.3 Stress, 1.4 Average Normal Stress in an Axially Bar, 1.5 Average Shear Stress, 2.1 Deformation, 2.2 Strain, Mechanics of Materials, 11th Edition, 2022.
Hibbeler, Sections 1.3 Stress, 1.4 Average Normal Stress in an Axially Bar, 1.5 Average Shear Stress, 2.1 Deformation, 2.2 Strain, Mechanics of Materials, 9th Edition, 2013.
Hibbeler, Sections 1.3 Stress, 1.4 Average Normal Stress in an Axially Bar, 1.5 Average Shear Stress, 2.1 Deformation, 2.2 Strain, Mechanics of Materials, 8th Edition, 2013.
Crandall, Dahl, and Lardner, Section 1.6 Conditions for Equilibrium, An Introduction to the Mechanics of Solids, 1999.
For complementary information, see our YouTube Channel and the Wikibook.
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