Stress, Strain and Hooke’s Law: Summary and Further Reading
Course subject(s)
1. Stress, Strain and Hooke’s Law
Summary of Key Equations
All of the concepts from this unit combine to form the Generalized form of Hooke’s Law given below. This is the fundamental equation we will use to examine the deformation and loading of engineering structures. Below, you can find a summary of the key formulas that we have covered in this chapter.
\[\epsilon_x=\frac{1}{E}[\sigma_x-\nu(\sigma_y+\sigma_z)]+\alpha\Delta T \]
\[\epsilon_y=\frac{1}{E}[\sigma_y-\nu(\sigma_x+\sigma_z)]+\alpha\Delta T \]
\[\epsilon_z=\frac{1}{E}[\sigma_x-\nu(\sigma_x+\sigma_y)]+\alpha\Delta T \]
\[\gamma_{xy}=\frac{\tau_{xy}}{G} \]
\[\gamma_{xz}=\frac{\tau_{xz}}{G} \]
\[\gamma_{yz}=\frac{\tau_{yz}}{G} \]
Further Reading
1.1 Stress
Chapters 1.1-1.5
1.2 Strain
Chapter 2
1.3 Hooke’s Law
Chapters 3.1-3.4, 3.6-3.7
Aerospace Mechanics of Materials by TU Delft OpenCourseWare is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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