The 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 be fabricated from an aluminum alloy [E = 73 GPa; ν = 0.33]. Determine (a) the normal stress in the vessel wall and (b) the internal pressure in the vesssel

The 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 be fabricated from an aluminum alloy [E = 73 GPa; ν = 0.33]. Determine (a) the normal stress in the vessel wall and (b) the internal pressure in the vesssel

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.2P: A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas....

See similar textbooks

Similar questions

A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the figure. The width of the plate is h = 12.0 in. Measurements show that the normal strains in the x and v directions are s = 427 × 10-6 and s = 113 × l0-6, respectively. With reference to part b of the figure. which shows a Iwo-dimensional view of the plate. determine the following quantities. (a) The increase .d in the length of diagonal Oil. (b) The change . in the angle between diagonal Oti and the x axis, (c) The shear strain y associated with diagonals Oil and cf(that is. find the decrease in angle ced).
A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas. Calculate maximum permissible pressure in the balloon if the allowable normal strain at the outer surface of the balloon is O.h Assume E = 4 MPa and v = 0,45.
Before loading the plate, mark a line with the inclination shown. After the load is applied, the slope of the line decreases by 5x10^-3 rad. Determine the normal stress ?. Consider E = 2.1x106 kgf/cm^2 and v = 0.30. Express your answer in units of kgf/cm^2.
mechanics 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.
A steel bar of 3 m long and 2500 mm2 in area hangs vertically, which is securely fixed on a collar at its lower end . If a weight of 25 KN falls on the collar from the height of 10 mm , determine the stress induced in the bar. What will be the strain energy stored in the bar? Take E=200 GPa.
A steel pipe (E1=200 GPa) surrounds a solid aluminum-alloy rod (E2 =70 GPa), and together they are subjected to a compressive force of 200 kN acting on rigid end caps. Determine the shortening of this metallic compression member, and determine the normal stresses in the pipe and in the rod.
In a cylindrical container, Gas is compressed to a pressure of 3 MPa. If the cylinder has a diameter of 1000 mm and a wall thickness of 10 mm, determine the stresses in the cylinder wall.
v) A delta strain gauge is attached to the member at point ‘X’ as highlighted in the figure. During a particular stage of a lifting process, strain readings are recorded as detailed. Determine the magnitude and nature of the principal stresses acting on the member at point ‘X’, the maximum shear stress, and the angle of the principal planes. Young’s Modulus of elasticity = 205 GN/m2Poisson’s ratio = 0.31
At room temperature (20°C), a 0.5-mm gap exists between the ends of the rods shown. The temperature eventually reaches a value of 140°C. Determine the normal stress in the aluminum rod. Determine the change in length of the aluminum rod.
Determine the principal stresses at points A and B of the cylinder. Consider: L = 70 mm; d = 20 mm; F = 12 kN; P = 15 kN; T = 800 Nm.
A 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.
At room temperature (20°C), a 0.5-mm gap exists between the ends of the rods shown. The temperature eventually reaches a value of 139°C. Determine the normal stress in the aluminum rod.