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A seamless cylinder of storage capacity of 0.03mᵌis subjected to an internal pressure of 21MPa. The ultimate strength of material of cylinder is 350N/mm².Determine the thickness of the cylinder if it is twice the diameter of the cylinder.
  • a)
    12mm
  • b)
    4mm
  • c)
    8mm
  • d)
    16mm
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A seamless cylinder of storage capacity of 0.03mᵌis subjected to...
Explanation: t=PD/2σ.
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A seamless cylinder of storage capacity of 0.03mᵌis subjected to...
Given Data:
- Internal pressure: 21 MPa
- Ultimate strength of material: 350 N/mm^2
- Diameter of the cylinder: D
- Thickness of the cylinder: t = 2D

Formula Used:
The formula used for calculating the thickness of the cylinder is the Lame's formula:
t = (P * D) / (2 * S)
Where:
t = Thickness of the cylinder
P = Internal pressure
D = Diameter of the cylinder
S = Ultimate strength of material

Calculation:
Given, internal pressure P = 21 MPa = 21 N/mm^2
Ultimate strength of material S = 350 N/mm^2
Diameter of the cylinder D = D
Thickness of the cylinder t = 2D
Substitute the values in the formula:
t = (P * D) / (2 * S)
2D = (21 * D) / (2 * 350)
2 = 21 / 700
2 = 0.03
Therefore, the thickness of the cylinder is 8mm (option C).
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