A thin gas cylinder with an internal radius of 100 mm is subject to an...
Given information:
- Internal radius of the gas cylinder = 100 mm
- Internal pressure = 10 MPa
- Maximum permissible working stress = 100 MPa
Formula:
The formula to calculate the minimum cylinder wall thickness is given by:
Minimum wall thickness = (P * r) / (2 * S)
where,
P = Internal pressure
r = Internal radius of the cylinder
S = Maximum permissible working stress
Calculation:
Given that the internal pressure (P) is 10 MPa, the internal radius (r) is 100 mm, and the maximum permissible working stress (S) is 100 MPa.
Substituting these values into the formula:
Minimum wall thickness = (10 MPa * 100 mm) / (2 * 100 MPa)
Minimum wall thickness = (1000 mm*MPa) / (200 MPa)
Minimum wall thickness = 5 mm
Answer:
The minimum cylinder wall thickness required for safe design is 5 mm.