Question 1

Question 1

Mohr’s Circle question 1

Use the Mohr's circle to calculate σ₁, σ₂, τ_{max in-plane} and θ_p1, θ_s1. Also find the stresses (σ'_x, σ_y, τ'_xy) for θ = 60^o (CW) from the principal plane.

Use the Mohr's circle to calculate σ₁, σ₂, τ_{max in-plane} and θ_p1, θ_s1. Also find the stresses (σ'_x, σ_y, τ'_xy) for θ = 60^o (CW) from the principal plane.

Click below to show answer. X

Step 1:
Construct Mohr's circle

Step 1:
Construct Mohr's circle

Mohr’s Circle solution step 1

Step 2:
Calculate σ₁, σ₂, τ_{max in-plane} and θ_p1, θ_s1 using Mohr's circle

Step 2:
Calculate σ₁, σ₂, τ_{max in-plane} and θ_p1, θ_s1 using Mohr's circle

Mohr’s Circle solution step 2

Step 3:
Obtain σ'_x, σ_y, τ'_xy for θ = 60^o (CW)

Step 3:
Obtain σ'_x, σ_y, τ'_xy for θ = 60^o (CW)

Mohr’s Circle solution step 3

Useful formula:

Useful formula:

Mohr’s Circle construction steps

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