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MECHMAT 17: Plane Stress I: Equilibrium on Sliced Elements, Transformations – YOUTUBE PLAYLIST
Session 17.1 Plane Stress I – Sections and Equilibrium on Rotated Material Elements
Session 17.2 Plane Stress I – Generalized Equations for 2D-Transformed Elements
Session 17.3 Plane Stress I – Stress Tensors and Rotations
Live MechMat Sessions – Session 17: Plane Stress I – Sections and Equilibrium on Rotated Elements
In-class problem-solving in small groups working on problems involving plane stresses, transformations, and equilibrium.
Date: November 5, 2024
Date: June 20, 2024
Date: November 2, 2023
Date: June 21, 2023
Date: March 24, 2023
Notes
Fa2024 Session 17: MechMat – Plane Stress I – Instructional Slides
Session 17: MechMat – Plane Stress I – Instructional Slides
Fa2023 In-class and Office Hours Notes
Su2023 In-class and Office Hours Notes
Sp2023 MechMat In-class Notes Starting from Session 9
Session 17: MechMat- Plane Stress I- Colab IPython
Select Assignment Questions
Using Equilibrium and Method of Slices to Calculate Equivalent State of Stress on a Rotated Element on the Surface of a Thin-walled Cylindrical Pressure Vessel
Using Equilibrium and Method of Slices to Calculate Equivalent State of Stress on a Rotated Element with a Shear Stress in Original State
Rotation of a Material Element to Find a Shear Stress of Zero Using Numerical Trial and Error
Thinking about the Equivalent State of Stress with Sketches, Tensors, Rotation Matrices, and Python
Additional Video Content
Understanding Plane Stress
This video by the Efficient Engineer does an excellent job describing plane stress, along with its simplifying assumptions.
Watch all 4:06.
Understanding Stress Transformation
This video by the Efficient Engineer does an excellent job describing the use of the stress-transformation equations and how rotating an element affects depicted state of stress.
Watch first 2:12.
Watch all 21:49.
Online Text
3.3: Tensor Transformations – Engineering LibreTexts
Cauchy stress tensor – Wikipedia
For complementary information, see our YouTube Channel and the Wikibook.
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