Question 1

Question 1

Generalised Hooke’s Law question 1

Calculate the principal strains ε₁, ε₁, ε₃ for the element shown.

Calculate the principal strains ε₁, ε₁, ε₃ for the element shown.

Click below to show answer. X

Step 1:
Use Hooke's law to convert σ_x, σ_y, τ_xy to ε_x, ε_y, γ_xy

Step 1:
Use Hooke's law to convert σ_x, σ_y, τ_xy to ε_x, ε_y, γ_xy

Generalised Hooke’s Law solution step 1

Step 2:
Obtain ε₁, ε₂, ε₃ from ε_x, ε_y, ε_z

Step 2:
Obtain ε₁, ε₂, ε₃ from ε_x, ε_y, ε_z

Generalised Hooke’s Law solution step 2

Useful formula:

Useful formula:

Generalised Hooke’s Law formula

Now that you've mastered this question, you can try Question 2.