Concept explainers
The thin-walled cylindrical pressure vessel of Inner radius rand thickness t is subjected to an internal pressure p. If the material constants are E and v, determine the strains in the circumferential and longitudinal directions. Using these results, calculate the increase in both the diameter and the length of a steel pressure vessel filled with air and having an internal gage pressure of 15 MPa. The vessel is 3 m long, and has an inner radius of 0.5 m and a thickness of 10 mm. Est = 200 GPa, vst = 0.3.
Want to see the full answer?
Check out a sample textbook solutionChapter 10 Solutions
Mechanics of Materials
Additional Engineering Textbook Solutions
Engineering Mechanics: Statics
Vector Mechanics for Engineers: Statics and Dynamics
Automotive Technology: Principles, Diagnosis, and Service (5th Edition)
Engineering Mechanics: Statics
Introduction To Finite Element Analysis And Design
Applied Fluid Mechanics (7th Edition)
- A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ?d in diameter, the decrease, ?V in volume, and the strain energy U of the ball. (b) At what depth will the volume change be equal to 0.0324% of the original volume?arrow_forwardThe normal strain measured on the outside surface of a spherical pressure vessel is 670 με.The sphere has an outside diameter of 1.20 m and a wall thickness of 10 mm, and it will befabricated from an aluminum alloy [E = 73 GPa;ν = 0.33]. Determine (a) the normal stress inthe vessel wall and (b) the internal pressure in the vessselarrow_forwardIf the Young's modulus and Poisson's ratio of the container material are 100 GPa and 0.3 respectively, What is the axial strain in the cylinder wall at mid-depth?arrow_forward
- In a hydraulic press a 690-liter volume of oil is subjected to a 6666-psi pressure increase. If the compressibility of oil is 2.0×10−5/atm,, find the bulk strain and the absolute decrease in the volume of oil when the press is operating.arrow_forwardA 2.5 m long steel rod has a cross-sectional area of 0.35cm^2. The rod is hung from one end of the support structure and then a 600 kg winch is hung on the lower end of the rod. Determine: A. The stress(F/A) B. The strainarrow_forwardQ2 A rod is 3m long at a temperature of 15°C. Find the expansion of the rod, when the temperature is raised to 95°C. If this expansion is prevented, find the stress induced in the material of the rod. Take E=1x105 N/mm2 and α=0.000012/°C.arrow_forward
- A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are 0.40 x 10 -3 in thex direction and 0.30 x 10-3 in the y direction, determine the stresses in the x and y direction. Also,determine the strain in the z direction. The modulus of elastic and Poisson’s ratio of copper is 110GPa and 0.35 respectively.arrow_forward6 m A cylindrical pressure vessel contains a gas at a pressure of 6.0 MPa. The cylinder, which has an inner radius of 1200 mm and a wall thickness of 20 mm, is fabricated from steel [E = 200GP%; v = 0.30]. The cylindrical portion is 6 m long, ignore the hemispherical end- caps of the tank. corresponding strains in the tank. Using Hooke's Law, determine the MPa Onoop MPа Olong με Elong με Enooparrow_forwardmechanics of deformable bodies The cylindrical tank has an outer radius of 1.5m and a wall thickness of 25 mm. If the tank is pressurized to 1.5 MPa, determine the longitudinal stress.arrow_forward
- A sheet of steel is stretched biaxially in the xy-plane. The strains in the sheet are described below. Determine the stresses along the x and y axes. Use E=200 GPa and v=0.28 Ex = 0.4 x 10‐³ Ey = 0.3 x 10‐³arrow_forwardA cylinder has an internal diameter of 230 mm, has walls 5 mm thick and is 1 m long. It is found to change in internal volume by 12.0 x 10-6 m3 when filled with a liquid at a pressure p. If E = 200GN/m2 and v = 0.25, and assuming rigid end plates, determine the values of hoop stressarrow_forwardA single strain gage forming an angle = 18° with a horizontal plane is used to determine the gage pressure in the cylindrical steel tank shown. The cylindrical wall of the tank is 6 mm thick, has a 600-mm inside diameter, and is made of a steel with E= 200 GPa and v = 0.30. Determine the pressure in the tank indicated by a strain gage reading of 320μ. (Round the final answer to three decimal places.) The pressure in the tank is MPa.arrow_forward
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning