Question 2

Membrane Stress Equation example question

The hopper tank above is used to store oil. Determine the minimum thickness t at the connection of the conical and cylindrical section of the tank, if the Tresca stress intensity is not to exceed 200 MPa. Consider the inner surface of the tank.

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

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

Membrane Stress Equation solution step 1

Step 2:
[+↑ΣF_y = 0], find σ_Φ

Step 2:
[+↑ΣF_y = 0], find σ_Φ

Membrane Stress Equation solution step 2

Step 3:
Membrane stress equation, find σ_θ

Step 3:
Membrane stress equation, find σ_θ

Membrane Stress Equation solution step 3

Step 4:
Find t_min for σ_tresca ≤ 200 MPa

Step 4:
Find t_min for σ_tresca ≤ 200 MPa

Membrane Stress Equation solution step 4

Useful formula:

Useful formula:

Congratulations! You've completed all the questions in this topic. Let's look at C1.2: Toroidal Shells now.

Question 2

Question 2

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

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 tmin for σtresca ≤ 200 MPa Step 4: Find tmin for σtresca ≤ 200 MPa

Useful formula: Useful formula:

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

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

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 t_min for σ_tresca ≤ 200 MPa

Step 4:
Find t_min for σ_tresca ≤ 200 MPa

Useful formula:

Useful formula: