A steel tire has a dimensions indicated in the figure below. At 78 degrees Celsius, the said tire was fit into a 1.8m to an engine wheel with 24 degrees Celsius. Calculate the contact pressure between the tire and the wheel after fitting together due to colling of 24 degrees Celsius. The coefficient of expansion due to temperature of the tire is 12.3 micrometer/ m- degrees Celsius and Modulus of Elasticity is FN GPa. 12 mm 200 mm 900mm wide steel tire+ 12 mm Note: Neglect the deformation of the wheel due to the pressure of the tire

A steel tire has a dimensions indicated in the figure below. At 78 degrees Celsius, the said tire was fit into a 1.8m to an engine wheel with 24 degrees Celsius. Calculate the contact pressure between the tire and the wheel after fitting together due to colling of 24 degrees Celsius. The coefficient of expansion due to temperature of the tire is 12.3 micrometer/ m- degrees Celsius and Modulus of Elasticity is FN GPa. 12 mm 200 mm 900mm wide steel tire+ 12 mm Note: Neglect the deformation of the wheel due to the pressure of the tire

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.2.9P: A safety valve on the top of a tank containing steam under pressure p has a discharge hole of...

See similar textbooks

Similar questions

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?
Solve the preceding problem for the following data: diameter LO m, thickness 48 mm, pressure 22 MPa, modulus 210 GPa. and Poisson's ratio 0.29
Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.
A polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed length L1) by an amount ?? = (L1 = L). Ignore deformations of the cap and base. Use the force at the base of the spring as the redundant. Use numerical properties given in the boxes. (a) What is the resulting Force-in the spring, Fk? (b) What is the resulting Force in the tube, Ftl (c) What is the filial length of the tube, Lf? (d) What temperature change ?T inside the tube will result in zero force in the spring
A shock mount constructed as shown iu the figure is used to support a delicate instrument. The mount consists of an outer steel tube with inside diameter b. a central steel bar of diameter d that supports the load P, and a hollow rubber cylinder (height /r) bonded to the tube and bar (a) Obtain a formula Tor the shear stress t in the rubber at a radial distance r from the center of the shock mount. (b) Obtain a formula Tor the downward displacement S of the central bar due to the load P. assuming that G is the shear modulus of elasticity of the rubber and that the steel tube and bar are rigid.
Compare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the approximate theory for thin-walled bars with the angle of twist 2 calculated from the exact theory of torsion for circular bars, Express the ratio 12terms of the non-dimensional ratio ß = r/t. Calculate the ratio of angles of twist for ß = 5, 10, and 20. What conclusion about the accuracy of the approximate theory do you draw from these results?
2. A thin steel tire is shrunk on to a locomotive wheel of 1.2 m diameter. Find the internal diameter of the tire if after shrinking on, the hoop stress in the tire is 100 MPa. Assume E=200kN/mm2. Also find the least temperature to which the tire must be heated above that of the wheel before it could be slipped on. The coefficient of linear expansion for the tire is 6.5×10–6 per °C.
The load on a 2-in.-diameter hydraulic cylinder increases from 10,000 lb to 15,000 lb. Due to the compressibility of the oil, the piston retracts 0.1 in. If the volume of oil under compression is 10 in^3, what is the bulk modulus of the oil in units of kpsi? Enter only a whole number.
1. A solid piece of metal of volume 10,000 mm3 is compressed by a pressure of 70 MPa. Determine the bulk modulus given that the Young’s modulus E is 214 Gpa and the Poisson’s ratio is 0.33. Also determine the change in the volume.2. Starting from the first principles derive the relation between Young’s modulus (E), shear modulus (G) and Poisson’s ratio (υ)
A helical spring is provided with a rigid plate at each end. A bolt passes through the spring and the end plates. By turning the nut, the spring is compressed until the coils touch. The height of the unloaded spring is 600 mm, its mean coil diameter is 100 mm and the diameter of the spring wire is 28 mm. The spring has 18 coils. The diameter of the bolt is 25 mm and the plates are each 25 mm thick. Calculate the elongation of the bolt when the spring is fully compressed as well as the stress in the spring wire (take E = 200 GPa and G = 80 GPa).
A thick-wall underwater pipe is placed at 20m below sea level. The pipe is carryingcompressed natural gas with pressure of 50 MPa. The pipe has 115mm outer diameter andmade of 316 stainless steel with yield strength of 205 MPa. The density of sea water could betaken as 1029 kg/m3. Find out:a) What is the resultant outer pressure acting on the underwater pipe? b) What is the minimum inner diameter to ensure the pipe does not yield?c) Sketch the variation of hoop and radial stress across the pipe wall, completed with stresslabelling. d) What is the resultant longitudinal stress of the pipe?
A closely coiled helical spring is to carry a load of 500N. Its mean coil diameter is to be 10 times that of the wire diameter. Calculate these diameters if the maximum shear stress in the material of the string is to be 8OMN/mA2.