A 12mm thick steel tire has a width of 110mm and has an internal diameter of 800mm. The tire is heated and shrunk to a steel wheel 800.5 mm in diameter. The modulus of elasticity E = 200 MPa. a. Determine the tensile stress in the tire. b. Determine the compressive pressure between the tire and the wheel. c. Determine the thickness of the tire to resist a pressure of 1.5 MPa if it has an allowable stress of 124 MPa.

A 12mm thick steel tire has a width of 110mm and has an internal diameter of 800mm. The tire is heated and shrunk to a steel wheel 800.5 mm in diameter. The modulus of elasticity E = 200 MPa. a. Determine the tensile stress in the tire. b. Determine the compressive pressure between the tire and the wheel. c. Determine the thickness of the tire to resist a pressure of 1.5 MPa if it has an allowable stress of 124 MPa.

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 8.2.4P: Solve the preceding problem if the internal pressure is 3,85 MPa, the diameter is 20 m, the yield...

See similar textbooks

Similar questions

A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively.
The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
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) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressure
Solve the preceding problem if the internal pressure is 3,85 MPa, the diameter is 20 m, the yield stress is 590 MPa, and the factor of safety is 3.0. (a) Determine the required thickness to the nearest millimeter. (b) If the tank wall thickness is 85 mm, what is the maximum permissible internal pressure?
A 12-mm thick steel tire has a width of 110 mm and internal diameter of 800 mm. It is heated and trunk onto a steel will 800.50 mm in diameter. The modulus of elasticity of steel is 200 GPa. 1) Which of the following most nearly gives the tensile stress in the tire. a. 145 MPa b. 130 MPa c. 110 MPa d. 125 MPa 2) Which of the following most nearly gives the compressive pressure between the tire and the wheel. a.) 4.35 MPa b.) 3.30 MPa c.) 3.90 MPa d.) 3.75 MPa 3) If the tire has an allowable tensile stress of 124 MPa and is to resist a pressure of 1.50 MPa, which of the following most nearly gives its thickness. a.) 4.84 mm b.) 2.42 mm c.) 2.58 mm d.) 5. 16 mm
2. A bar of thickness 15mm and having a rectangular cross-section carries a load of 120kN. Determine the minimum width of the bar to limit the stress to 200MPa. The bar, which is 1m long, extends by 2.5mm when carrying a load of 120kN. Determine the modulus of elasticity of the material of the bar.
a 12mm thick steel tire has a width of 110mm and an internal diameter of 800mm. It is heated and shrunk onto a steel wheel 800.50mm in diameter. The modulus of elasticity of steel is 200gpa. Which of the following most nearly gives the comprehensive pressure between the tire and the wheel? A 3.30 mpa B 3.90 mpa C 3.75 mpa D 4.35 mpa
The normal stress in a piece of structural member is 300 MPa. If the modulus of rigidity G is 85 GPa,
Two tempered-steel bars, each 316316 in. thick, are bonded to a 1212 -in. mild-steel bar. This composite bar is subjected as shown to a centric axial load of magnitude P. Both steels are elastoplastic with E = 29 × 106 psi and with yield strengths equal to 100 ksi and 50 ksi, respectively, for the tempered and mild steel. Determine the residual stresses in the tempered-steel bars if the load P is gradually increased from zero to 103 kips and then decreased back to zero. The residual stress in the tempered steel bars is
A spherical pressure vessel 400-mm in diameter has a uniform thickness of 6 mm. The vessel contain gas under a pressure of 8,000 KPa. If the ultimate tensile stress of the material is 420 MPa, what is the factor of safety with respect to tensile failure?