The aluminum cube (600x600x600 mm) is put inside a hole of a rigid boundary as shown below. Initially, there is a gap of 0.2 mm between the cube and the rigid boundary. Determine the new dimensions of the cube if a stress of 100 MPa is applied on the top face of the cube and the temperature of the cube increased by 35°C. For aluminum: Ea=73 GPa, va-0.35, aal = 23*10C y. o=100 MPa Rigid boundary Rigid boundary Aluminum cube 600 mm- 02 mm

The aluminum cube (600x600x600 mm) is put inside a hole of a rigid boundary as shown below. Initially, there is a gap of 0.2 mm between the cube and the rigid boundary. Determine the new dimensions of the cube if a stress of 100 MPa is applied on the top face of the cube and the temperature of the cube increased by 35°C. For aluminum: Ea=73 GPa, va-0.35, aal = 23*10C y. o=100 MPa Rigid boundary Rigid boundary Aluminum cube 600 mm- 02 mm

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 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.
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?
A cylindrical pressure vessel is fabricated from steel plating that has a thickness of 20 mm. The diameter of the pressure vessel is 450 mm, and its length is 2.0 m. Determine the maximum internal pressure that can be applied if the longitudinal stress is limited to 140 MPa, and the circumferential stress is limited to 60 MPa.
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 cylindrical pressure vessel has an inner diameter of 4 ft and a thicknessof 1 2 in. Determine the maximum internal pressure it can sustain so that neither its circumferential nor its longitudinal stress component exceeds 20 ksi. Under the same conditions, what is the maximum internal pressure that a similar-size spherical vessel can sustain?
The ring, with dimensions shown, is placed over a flexible membrane which is pumped up with a pressure p. The thickness r,-r; is small compared to r; (a) Determine the axial force F in the ring in terms of p, w and r;. Hint: Consider a FBD by cutting the ring+membrane in two. (b) Determine the hoop stress in the ring. (c) Determine the hoop strain in the ring. The modulus of elasticity for the ring is E. (d) Relate the hoop strain to the change in the inner radius of the ring after this pressure is applied, and use this to get the change in the inner radius in terms of p, E, w, r, and ri- (PLEASE ANSWER ASAP AND CORRECTLY)!
an acetylene tank consists of a cylindrical body flat at its base and hemisphere at the other end . the thickness of the metal used in tank is 2mm. the tank has a diameter of 250 mm and 1200 mm long. what is the internal pressure of the tank if the allowable stress of the material is 180MPa a. 3.5 kPa b. 6.8 kPa c. 4.2 kPa d. 5.5 kPa
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 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 vesssel
A gap of 0.02 in. exists between the composite rod and the wall when the temperature is 75°F. Determine the temperature at which the normal stress in the aluminum rod will be equal to -9 ksi. The temperature of the aluminum rod is _____ °F.
An A-36-steel hoop has an inner diameter of 23.99 in., a thickness of 0.25 in., and a width of 1 in. If it and the 24-in.-diameter A rigid cylinder has a temperature of 65° F, determine the temperature to which the hoop should be heated in order for it to just slip over the cylinder. What is the pressure the hoop exerts on the cylinder, and the tensile stress in the ring when it cools back down to 65° F?
A cylindrical pressure vessel is fabricated from steel plating that has a thickness of 30 mm. The outer diamter and thickness of the pressure vessel is 500 mm and 10 mm. Its length is 2m. Determine the maximum internal pressure (MPa) that can be applied if the longitudinal stress is limited to 155 MPa, and the circumferencial stress is limited to 55 MPa.
A steel tank has an inside diameter of 3 m and 6 m high contains gasoline with a relative density of 0.75. Determine the wall thickness required if the allowable tangential stress is 25,000 kPa. A. 2.65 mm C. 3.27 mm B. 1.44 mm D. 4.23 mm