Question 1

The toroidal shell with the dimensions shown is loaded with pressure p. Find the maximum p it can take if the Tresca stress intensity at A is not to exceed 200 MPa. A sits on the inner surface of the shell.

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

Step 1:
Get values for r_o, r_Φ, r_θ, Φ, 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:
Find p_max for σ_tresca ≤ 200 MPa

Step 4:
Find p_max for σ_tresca ≤ 200 MPa

Useful formula:

Useful formula:

Congratulations! You've completed all the questions in this topic. Let's look at C1.3: Tori-spherical Shells now.

Question 1

Question 1

Step 1: Get values for ro, rΦ, rθ, Φ, t Step 1: Get values for ro, rΦ, rθ, Φ, 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: Find pmax for σtresca ≤ 200 MPa Step 4: Find pmax for σtresca ≤ 200 MPa

Useful formula: Useful formula:

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

Step 1:
Get values for r_o, r_Φ, r_θ, Φ, 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:
Find p_max for σ_tresca ≤ 200 MPa

Step 4:
Find p_max for σ_tresca ≤ 200 MPa

Useful formula:

Useful formula: