Question 1

The figure shows an inverted cone tank subject to an internal pressure p. Find the maximum p it can take if the Tresca stress intensity is not to exceed σ_y at h = 1 m (at the inner surface).

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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

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 p_max for σ_tresca ≤ 250 MPa

Step 4:
Find p_max for σ_tresca ≤ 250 MPa

Membrane Stress Equation solution step 4

Useful formula:

Useful formula:

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

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 ≤ 250 MPa Step 4: Find pmax for σtresca ≤ 250 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 ≤ 250 MPa

Step 4:
Find p_max for σ_tresca ≤ 250 MPa

Useful formula:

Useful formula: