engineering core courses

Solid Mechanics II
Course homepage
Solid Mechanics II
Course homepage
C6: Energy Methods
6.1 Elastic Strain Energy for Various Loadings
- Theory - Example
6.2 Conservation of Energy
- Theory - Example - Question 1 - Question 2 - Question 3
6.3 Virtual Work
- Theory - Example - Question 1 - Question 2 - Question 3
6.4 Castigliano’s Theorem
- Theory - Example - Question 1

Chapter 6: Energy Methods

Chapter overview

In previous chapters, we’ve studied various types of loadings: axial, torsion, shear and bending. Here in this chapter, we’ll look at the displacement and slope caused by these loadings, by considering the strain energy:

  • C6.1 Elastic Strain Energy for Various Loadings - quantifying the strain energy stored due to axial, torsion, shear and bending loadings
  • C6.2 Conservation of Energy - applying the energy conservation principle to calculate our displacement and slope
  • C6.3 Virtual Work - using a “virtual” load to calculate our displacement and slope at anywhere we want
  • C6.4 Castigliano’s Theorem - another method to work out our displacement and slope at any region

Chapter 6: Energy Methods

Chapter overview

In previous chapters, we’ve studied various types of loadings: axial, torsion, shear and bending. Here in this chapter, we’ll look at the displacement and slope caused by these loadings, by considering the strain energy:

  • C6.1 Elastic Strain Energy for Various Loadings - quantifying the strain energy stored due to axial, torsion, shear and bending loadings
  • C6.2 Conservation of Energy - applying the energy conservation principle to calculate our displacement and slope
  • C6.3 Virtual Work - using a “virtual” load to calculate our displacement and slope at anywhere we want
  • C6.4 Castigliano’s Theorem - another method to work out our displacement and slope at any region

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