Question 1

Calculate the principal stresses σ_θ, σ_Φ, σ_r at A, which sits at the inner wall of the shell. Also calculate the principal stresses in the spherical end-cap and cylindrical wall region, at the inner wall.

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

Step 2:
[+↑ΣF_y = 0], find σ_Φ

Step 2:
[+↑ΣF_y = 0], find σ_Φ

Step 3:
Membrane stress equation, find σ_θ

Step 3:
Membrane stress equation, find σ_θ

Step 4:
Principal stresses of knuckle joint, end cap, cylinder

Step 4:
Principal stresses of knuckle joint, end cap, cylinder

Useful formula:

Useful formula:

Congratulations! You've completed all the questions in this topic. Let's look at C2: Bending now.

Question 1

Question 1

Step 1: Get values for ro, rΦ, rθ, Φ, p, t Step 1: Get values for ro, rΦ, rθ, Φ, p, t

Step 2: [+↑ΣFy = 0], find σΦ Step 2: [+↑ΣFy = 0], find σΦ

Step 3: Membrane stress equation, find σθ Step 3: Membrane stress equation, find σθ

Step 4: Principal stresses of knuckle joint, end cap, cylinder Step 4: Principal stresses of knuckle joint, end cap, cylinder

Useful formula: Useful formula:

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

Step 2:
[+↑ΣF_y = 0], find σ_Φ

Step 2:
[+↑ΣF_y = 0], find σ_Φ

Step 3:
Membrane stress equation, find σ_θ

Step 3:
Membrane stress equation, find σ_θ

Step 4:
Principal stresses of knuckle joint, end cap, cylinder

Step 4:
Principal stresses of knuckle joint, end cap, cylinder

Useful formula:

Useful formula: