Example Question

Example Question

Tori-spherical Shells example question

Calculate the principal stresses σ_θ, σ_Φ, σ_r at A which sits at the mid-thickness of the torispherical end-cap of the vessel.

Calculate the principal stresses σ_θ, σ_Φ, σ_r at A which sits at the mid-thickness of the torispherical end-cap of the vessel.

Click below to show answer. X

Step 1:
Get values for r_o, r_Φ, r_θ, Φ, p, t

Step 1:
Get values for r_o, r_Φ, r_θ, Φ, p, t

Tori-spherical Shells solution step 1

Step 2:
[+↑ΣF_y = 0], find σ_Φ

Step 2:
[+↑ΣF_y = 0], find σ_Φ

Tori-spherical Shells solution step 2

Step 3:
Membrane stress equation, find σ_θ

Step 3:
Membrane stress equation, find σ_θ

Tori-spherical Shells solution step 3

Step 4:
Final answer for σ_θ, σ_Φ, σ_r

Step 4:
Final answer for σ_θ, σ_Φ, σ_r

Tori-spherical Shells solution step 4

Useful formula:

Useful formula:

Tori-spherical Shells formula

Now that you've mastered this question, you can try Question 1.