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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: June 20, 2023
Date: March 21, 2023
Notes
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
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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