A copper rod with 0.15 cm diameter is enclosed by a steel tube that has an outside diameter of 0.3 cm and an internal diameter of 0.2 cm. The assembly is fixed at each end. Determine the stresses in the rod and tube if the temperature is at 220oC; at 10oC, there is no longitudinal stress. Based on laboratory results for steel, E = 2.1 x 105 N/mm2, a = 11x10-6/oC, and for copper, E = 1 x 105 N/mm2, a = 18x10-6/oC

A copper rod with 0.15 cm diameter is enclosed by a steel tube that has an outside diameter of 0.3 cm and an internal diameter of 0.2 cm. The assembly is fixed at each end. Determine the stresses in the rod and tube if the temperature is at 220oC; at 10oC, there is no longitudinal stress. Based on laboratory results for steel, E = 2.1 x 105 N/mm2, a = 11x10-6/oC, and for copper, E = 1 x 105 N/mm2, a = 18x10-6/oC

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.7P: A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the...

See similar textbooks

Similar questions

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.
An engineering machine component operating in a high temperature environment consists of a copper pipe having a cross-sectional area of 2 000 mm2 and 0.3 m long, which is placed between two rigid caps. Four M22 steel bolts are symmetrically arranged around the tube and parallel to the axis of the tube and are lightly tightened. 3.1 Find the stress in the pipe and the bolts if the temperature of the assembly is increased from 25 0C to 95 0C. 3.2 What load will each bolt carry at the raised temperature? 3.3 Make a neat sketch of the assembly. (ESt = 200 GPa, ECu = 100 GPa, αSt = 12 × 10-6/ oC, αCu = 16 × 10-6/ oC)
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.
The assembly shown below consists of a brass shell (1) fully bonded to a ceramic core (2). The brass shell [E = 115 GPa; α = 18.7 x 10-6 /°C] has an outside diameter of 50 mm and an inside diameter of 35 mm. The ceramic core [E = 290 GPa; α = 3.1 x 10-6 /°C] has a diameter of 35 mm. At a temperature of 15°C, the assembly is unstressed. Determine the largest temperature increase that is acceptable for the assembly if the normal stress in the longitudinal direction of the brass shell must not exceed 80 MPa.
A conpound bar is constructed from threa barg 50 mm wida by 10 mm thick fastened together to form a bar 50 mm wide by 30 mm thick. The middle bar is of Alumioum alloy for which E = 70 GN / m ^ 2 and the outside bars are of brass with E = 100 GN / m ^ 2, If the bars are Initially fastened at 18 ° C and the Temperature of the whole assembly is then raised to 50 ° C, determine the stresses set up in the brass and the Aluminum. α (B) = 18 x per ° C and α (Al) = 22 x per "C. (b) What will be tho changes in these stresses if an extemal compressive load of 10 kN is applied to the compound bar at the higher Temperature?
10-m-long steel rails of a railroad track (Es = 200 GPa and αs = 11.7×10-6/°C) were laid at a temperature of 7.5°C. a) Determine the normal stress in the rails when the temperature reaches 48°C, assuming that the rails are welded to form a continuous track. b) Determine the normal stress in the rails when the temperature reaches 48°C, assuming that the rails are 10 m long with 3-mm gaps between them.
1) 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 it's 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 2) A compound thin cylinder has a common diameter of 100 mm, and the inner cylinder has a thickness of 2,5 mm. The radial pressure between the two cylinders is 200 KPa and the difference between the two common diameters before shrinkage was 0,004305 mm. E=200 GPa Determine : A) Thickness of the outer cylinder B) Resultant hoop stresses in both cylinders if the compound cylinder is subjected to an internal pressure of 180 KPa
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.
10-m-long steel rails of a railroad track (Es = 200 GPa and αs = 11.7 × 10-6/°C) were laid at a temperature of 6°C. Determine the normal stress in the rails when the temperature reaches 48°C, assuming that the rails are welded to form a continuous track. The normal stress in the rails is _____ MPa.
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.
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.
A spherical pressure vessel has an outer diameter of 75 mm and a wall thickness of 10 mm. It's made of a steel having the yield strength (Sy) of 300 MPa. If the largest principal normal stress is not to exceed 80% of the yield strength, determine the maximum internal pressure this pressure vessel can withstand. The pressure vessel is considered thick-walled spherical pressure vessel.