Title HPGE 18 Solutions.pdf ✅

18 Hydraulics: Thin-Walled Pressure Vessels Solutions SITUATION 1. A cylindrical water tank is 8 m in diameter and 12 m high. If the tank is to be completely filled, ▣ 1. Determine the minimum thickness of the tank plating if the stress is limited to 40 MPa. [SOLUTION] σ = pD 2t 40 000 kPa = (9.81 kN m3 × 12 m) (8 m) 2t t = 11.77 mm ▣ 2. Using the thickness from the previous question, what depth of water will make the circumferential stress 25 MPa? [SOLUTION] 25 000 kPa = (9.81 kN m3 × h) (8 m) 2(0.011772 m) h = 7.5 m ▣ 3. A large pipe has a diameter of 1.5 m. It is composed of wooden staves bound together by steel hoops, each 300 mm2 in cross sectional area. If the maximum tensile stress permitted in the hoops is 130 MPa, what is the maximum spacing between hoops under a head of water of 30 m? [SOLUTION] σ = F A

▣ 6. What width of the lower steel band is needed using an 8 mm thick plate with an allowable stress of 83 MPa? [SOLUTION] σ = F A 83 000 kPa = 24.2 kN (0.008 m)w w = 36.4 mm