Handouts
LINK: Pressure Vessels and Wire Ropes
Topics:
Pressure Vessels
Thin-Walled Pressure Vessel
Thick-Walled Pressure Vessel
Spherical Thin-Walled Pressure Vessel
Wire Ropes
Lay of wire ropes
Wire rope designation
Wire rope materials
Exercises
|
1. A cylinder having an inside diameter of 15-in and wall thickness of 3-in is subjected to an internal pressure of 70 MPa and external pressure of 15 MPa. Compute the outer hoop stress. a. 87.5 MPa b. 78.3 MPa c. 63.2 MPa d. 99.6 MPa 2. A cylinder having an internal diameter of 20-in and external diameter of 28-in is subjected to an internal pressure of 8500 psi. If the hoop stress is 14,000 psi, find the external pressure. a. 1603.8 psi b. 1943.1 psi c. 1202.7 psi d. 1092.6 psi 3. A round vertical steel tank has an inside diameter of 3.5 m and 7 m in height. It contains gasoline with a density of 740 kg/m3. If the allowable tensile stress is 28 MPa, determine the minimum thickness required. a. 2.8 mm b. 6.2 mm c. 3.2 mm d. 4.8 mm 4. A cylindrical tank has a thickness of 55 mm. The internal diameter is 320 mm and has an internal pressure of 8300 kPa. Find the maximum tangential stress. a. 22.6 MPa b. 28.9 MPa c. 32.2 MPa d. 35.9 MPa 5. A cylindrical tank has an inside diameter of 6-in and is subjected to an internal pressure of 600 psi. If the maximum stress is 1300 psi, calculate the required thickness. a. 0.1385 in b. 0.2318 in c. 0.3311 in d. 0.4012 in 6. A spherical tank has a diameter of 12 m, if the tangential stress of the tank is 18 MPa, determine the maximum internal pressure the tank can carry if the wall thickness is 25-cm. a. 1500 kPa b. 2000 kPa c. 1000 kPa d. 1800 kPa 7. A spherical tank is 15 mm thick and carries an internal pressure of 8 MPa. The joint efficiency is 90% and stress is limited to 48000 kPa. Calculate the inner diameter of the tank. a. 280 mm b. 324 mm c. 382 mm d. 439 mm 8. A cylinder has a maximum load of 2600 kg while the pressure is 2600 kPa. If the ultimate stress is 55000 kPa and factor of safety is 4.5, calculate the required wall thickness of the cylinder. a. 10.2 mm b. 14.7 mm c. 13.5 mm d. 16.1 mm 9. The internal pressure of a 380 mm inside diameter cylindrical tank is 12 MPa and thickness is 28 mm. Compute the stress developed if joint efficiency is 85%. a. 91.5 MPa b. 98.2 MPa c. 95.8 MPa d. 88.1 MPa 10. Compute the safe wall thickness of a 60-in steel tank with an internal pressure of 10 MPa. The ultimate stress is 300 MPa and the factor of safety is 3. a. 70.0 mm b. 73.1 mm c. 78.2 mm d. 76.2 mm 11. A water tank is 12 m x 15 m is completely filled with water. Find the minimum thickness of the plate if stress is limited to 60 MPa. a. 10.3 mm b. 16.9 mm c. 18.2 mm d. 14.7 mm 12. Determine the bursting steam pressure of a steel shell with diameter of 18-in and made of ¾-in steel plate. The joint efficiency is 90% and the tensile strength is 65000 psi. a. 9750 psi b. 9020 psi c. 9532 psi d. 9821 mm 13. Find the internal pressure of a cylindrical tank 600 mm internal diameter, 23 mm thick and 3.5 m length if stress is limited to 150 MPa. a. 10.5 MPa b. 11.5 MPa c. 12.5 MPa d. 13.5 MPa 14. Find the probable bending load and equivalent bending in a 2-in, 6 x 7 steel rope made from 0.090-in wire, when it is used on an 85-in sheave. a. 19312.9 lbs b. 22318.1 lbs c. 16712.1 lbs d. 26551.8 lbs 15. Determine the probable bending stress and equivalent bending load in a 1.75-in, 6 x 19 steel rope made from 0.098-in wire, when it is used on a 90-in sheave. a. 12096.7 psi b. 15211.6 psi c. 14312.6 psi d. 13066.7 psi
16. In a high rise building, the elevator rises at a height of 1300 ft with an acceleration of 3.90 ft/sec2 and loaded with 1800 kg. Find the number of 16 mm diameter ropes needed if the total load in each rope is 2150 lbs. a. 5 b. 4 c. 3 d. 2 17. What is the factor of safety when a 0.50-in, 6 x 19 medium plow steel wire rope carrying an 8800 lb load is bent around a 25-in sheave if breaking strength of rope is 8.5 tons. a. 4 b. 3 c. 2 d. 5 18. A wire rope is used with total load of 8500 kg and bending load of 55,000 kg. If bearing strength of the rope is 120,000 kg, find the factor of safety in the rope. a. 8.31 b. 7.64 c. 6.38 d. 5.51 19. A 6 x 19 IPS wire rope has a wire rope diameter of 1.75-in and sheave diameter of 60-in. Find the equivalent bending load of the rope. a. 62341.36 lbs b. 68111.87 lbs c. 64151.72 lbs d. 60018.42 lbs 20. A 6 x 19 IPS wire rope has a wire rope diameter of 2-in and sheave diameter of 50-in. Find the bending stress of the rope. a. 70300 psi b. 68300 psi c. 65800 psi d. 75600 psi 21. A 6 x 19 IPS wire rope with rope diameter of 2.5-in is to be used for hoisting. Find the weight of the rope if the depth of the mine hoist is 110 m. a. 2158.9 lbs b. 3562.9 lbs c. 4082.1 lbs d. 5091.5 lbs |
Pressure Vessel
Determine the thickness of the cylinder of water tank 45 m high and 30 m in diameter assuming that the pressure variation is a straight line top of the tank to bottom. Assume the allowable stress of 120 MPa.
Solution:
Variable Load in Pressure Vessels
A thin-walled cylindrical pressure vessel is subjected to an internal pressure which varies from 690 kPa to 3450 MPa, continuously. The diameter of the shell is 1.50 meters. Find the required thickness of the cylinder wall based on the yield point of 480 Mpa, net endurance limit of 205 MPa and factor of safety of 2.
SOLUTION:
