Direction: A cylindrical container of radius R = 1 m, wall thickness 1 mm is filled with water up to a depth of 2 m and suspended along its upper rim. The density of water is 1000 kg/m3 and acceleration due to gravity is 10 m/s2. The self-weight of the cylinder is negligible. The formula for hoop stress in a thin-walled cylinder can be used at all points along the height of the cylindrical container.
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The axial and circumferential stress (σa, σc) experienced by the cylinder wall at mid-depth (m as shown) are
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- (10,10) MPa
- (5,10) MPa
- (10,5)MPa
- (5, 5) MPa
Correct Option: B
Pressure at mid – depth = ρgh = 103 × 10 × 1 = 104 N/m2
| ∴ σa = | + | |||
| 4t | 4 × 10-3 |
= 5 × 106 N/mm2 = 5 MPa
| σa = | + | = 10MPa | ||
| 2t | 2 × 10-3 |
