engineering core courses

Solid Mechanics I
 Course homepage
Solid Mechanics I
 Course homepage
C8: Strain Transformation
8.1 Equations of Strain Transformation
- Theory - Example
8.2 Mohr’s Circle for Strain
- Theory - Example - Question 1
8.3 Generalised Hooke’s Law
- Theory - Example - Question 1 - Question 2
8.4 Theories of Failure
- Theory - Example - Question 1 - Question 2

C8.3 Generalised Hooke’s Law

If you remember Poisson’s ratio ν, you would recall that the stress in one direction affects the strain in another direction.

What if we had stresses in multiple directions (e.g. σx and σy) simultaneously? How do we calculate the net strain?


Poisson ratio effect from stress in two directions; needs generalised Hooke's law to resolve

C8.3 Generalised Hooke’s Law

If you remember Poisson’s ratio ν, you would recall that the stress in one direction affects the strain in another direction.

What if we had stresses in multiple directions (e.g. σx and σy) simultaneously? How do we calculate the net strain?


Poisson ratio effect from stress in two directions; needs generalised Hooke's law to resolve

Fortunately we have our generalised Hooke’s law to give us our generalised strain-stress relationships:


Generalised Hooke's law formula

Shear strains are not affected by Poisson’s ratio and therefore has the following relations:


Shear strain formula not affected by Poisson's ratio

Let’s look at an example now.

Fortunately we have our generalised Hooke’s law to give us our generalised strain-stress relationships:


Generalised Hooke's law formula

Shear strains are not affected by Poisson’s ratio and therefore has the following relations:


Shear strain formula not affected by Poisson's ratio

Let’s look at an example now.

engineering core courses

COURSES FEATURES THE STORY CONTACT US ECC facebook link
engineering core courses