Question 1

Question 1

Mohr’s Circle for Strain question 1

Given that ε_x = 300 με, ε_y = 600 με and γ_xy = -200 μrad, calculate ε₁, ε₂, ε₃ and the angle θ_p1 at which it occurs. Also calculate the γ_abs-max.

Given that ε_x = 300 με, ε_y = 600 με and γ_xy = -200 μrad, calculate ε₁, ε₂, ε₃ and the angle θ_p1 at which it occurs. Also calculate the γ_abs-max.

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Step 1:
Construct 3D Mohr's circle

Step 1:
Construct 3D Mohr's circle

Mohr’s Circle for Strain solution step 1

Step 2:
Calculate ε₁, ε₂, γ_{max in-plane} and θ_p1, θ_s1

Step 2:
Calculate ε₁, ε₂, γ_{max in-plane} and θ_p1, θ_s1

Mohr’s Circle for Strain solution step 2

Useful formula:

Useful formula:

Mohr’s Circle for Strain formula

Congratulations! You've completed all the questions in this topic. Let's look at C8.3: Generalised Hooke's Law now.