Mathematics · Thin Cylinders and Spheres
A boiler drum consists of a cylindrical portion 4 m long, 1.5 m in diameter, and 2.25 cm thick, closed by hemispherical ends. In a hydraulic test to 6 MN/m2, how many liters of additional water will be pumped in after initial filling at atmospheric pressure? (Assume hoop strain for the cylinder is equal to the hoop strain for the sphere at the joint. Take E = 200 GN/m2, bulk modulus of water K = 2.13 GN/m2, and Poisson's ratio ν = 0.3.)
- 145.3
- 261.9
- 342.8✓
- 452.7
Correct answer
42.8
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