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MECHMAT 16: Combined Loadings – YOUTUBE PLAYLIST
Session 16.1 Combined Loadings – Types, Stresses, Scaling Laws, and Superposition
This video describes the different types of loading we have covered in the course: axial loading and normal stress on a bar, shear force and shear stress, internal shear force and transverse shear stress in a beam, bending moment and normal stresses in a beam, torsional moment/torque on a shaft and shear stress, and the normal stresses in thin-walled pressure vessels. We review the scaling supportable loads covered in Session 1 and superposition.
Session 16:Q1 True/False Questions on Loads and Stresses
(a) A bending moment and an axial force might both contribute to a normal stress. (True/False)
(b) A torque and a shear force might both contribute to a shear stress. (True/False)
(c) We describe the stresses within thin-walled pressures as pairs of shear stresses. (True/False)
(d) We add bending stresses and shear stresses directly to create composite stresses. (True/False)
(e) For a cantilevered beam, the maximum supportable bending stress scales linearly with the base width of the beam. (True/False)
(f) For a torsionally loaded cylindrical shaft, the maximum supportable shear stress scales with the radius cubed. (True/False)
Session 16.2 Combined Loadings – Superposition of Normal Stresses
This video describes loadings that result in normal stresses and how we can superpose these normal stresses to describe the state of a stress at a specified location.
Session 16:Q2 Combined Loadings – Normal Stress
Determine the normal stress at location A. The normal stress is along the x- direction.
Session 16.3 Combined Loadings – Superposition of Shear Stresses
This video describes loadings that result in shear stresses and how we can superpose these shear stresses to describe the state of a stress at a specified location.
Session 16:Q3 Combined Loadings – Shear Stresses
Determine the shear stress τxz at location A, which is along the most y-positive line on the surface of the loaded cylinder. Tapp is in the positive x-direction, and P is in the negative z-direction.
Session 16.4 Combined Loadings – Superposition of Normal and Shear Stresses
This video describes loadings that result in normal and shear stresses and how we can superpose shear stresses appropriately to describe the state of a stress at a specified location.
Session 16:Q4 Combined Loadings – Normal and Shear Stresses
Determine the shear stress τxz at location A, which is along the most y-positive line on the surface of the loaded cylinder. Tapp is in the positive x-direction, and Mapp is in the positive z-direction.
Live Session 16: Combined Loadings – Superposition of Loads and Stresses
In-class problem-solving in small groups working on problems involving combined loads and stresses.
Date: November 1, 2024
Date: June 19, 2024
Date: June 20, 2024
Date: June 20, 2023
Date: March 21, 2023
Notes
Fa2024 Session 16: MechMat – Combined Loadings – Instructional Slides
Session 16: MechMat – Combined Loadings – Instructional Slides
Su2023 In-class and Office Hours Notes
Sp2023 MechMat In-class Notes Starting from Session 9
Session 16: MechMat- Combined Loadings – Colab IPython
Select Assignment Questions
Calculating Shear Stress on a Sliced Face at a Given Location of a Cantilevered Beam and Shaft with an Applied Force and Torque at the Free End of the Structure
Calculating Shear Stress and Normal Stress on a Sliced Face at a Given Location of a Cantilevered Beam and Shaft with an Applied Transverse Force, Axial Force, Bending Moment, and Torque at the Free End of the Structure
Additional Video Content
Axial, Torsional, Bending, and Transverse Shear Loadings/Stresses
This video by Less Boring Lectures reviews axial, torsional, bending, and transverse shear loadings/stresses and then shows how to calculate the combined state of stress at a specified location for a circular shaft/beam with a force applied on a protruding .
Watch from 1:26 to end.
Circular Shaft/Beam with Bending and Shear Stresses
These videos by Jeff Hanson and structureFree show how to break down contributions of forces in three directions on a circular shaft/beam with a bend to calculate appropriate bending and shear stresses at two specified locations.
Watch all 28 minutes.
Watch all 21:49.
Online Text
Mechanics of Materials: Combined Loading » Mechanics of Slender Structures | Boston University (bu.edu)
Combined Loading Effects in Engineering (mechanicalland.com)
Microsoft PowerPoint – Lecture 25, Chapter 8b. Components – Combined Loading (assakkaf.com)
For complementary information, see our YouTube Channel and the Wikibook.
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