Example Question

Example Question

Equations of Strain Transformation example question

Given that ε_x = -400 με, ε_y = 250 με and γ_xy = 500 μrad, calculate ε₁, ε₂, γ_{max in-plane} and the angles θ_p1, θ_s1 at which they occur.

Given that ε_x = -400 με, ε_y = 250 με and γ_xy = 500 μrad, calculate ε₁, ε₂, γ_{max in-plane} and the angles θ_p1, θ_s1 at which they occur.

Click below to show answer. X

Step 1:
Use formulas to calculate ε₁, ε₂ and θ_p1

Step 1:
Use formulas to calculate ε₁, ε₂ and θ_p1

Equations of Strain Transformation solution step 1

Step 2:
Use formulas to calculate γ_{max in-plane}, ε_avg and θ_s1

Step 2:
Use formulas to calculate γ_{max in-plane}, ε_avg and θ_s1

Equations of Strain Transformation solution step 2

Useful formula:

Useful formula:

Equations of Strain Transformation formula

Congratulations! You've completed all the questions in this topic. Let's look at C8.2: Mohr's Circle for Strain now.