A composite component is comprised of a tube and a concentric rod running inside it, both with a length of 1.5 meters. The tube is made of copper and has inner and outer diameters of 60 mm and 100 mm, respectively, a coefficient of thermal expansion and elastic modulus of 17 x10-C and 117 GPa, respectively. The rod is made of aluminium with a diameter, coefficient of thermal expansion and elastic modulus of 50 mm, 23 x10-°C and 80 GPa, respectively. If the composite is exposed to a temperature rise of 120°C, determine: 1.2 The sense and magnitude of the stresses induced in the composite if it is partially restrained with an allowed free expansion of 0.3 mm.

A composite component is comprised of a tube and a concentric rod running inside it, both with a length of 1.5 meters. The tube is made of copper and has inner and outer diameters of 60 mm and 100 mm, respectively, a coefficient of thermal expansion and elastic modulus of 17 x10-C and 117 GPa, respectively. The rod is made of aluminium with a diameter, coefficient of thermal expansion and elastic modulus of 50 mm, 23 x10-°C and 80 GPa, respectively. If the composite is exposed to a temperature rise of 120°C, determine: 1.2 The sense and magnitude of the stresses induced in the composite if it is partially restrained with an allowed free expansion of 0.3 mm.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.51P

See similar textbooks

Similar questions

3.10 A spherical shell satellite (3-m-OD, 1.25-cm-thick stainless steel walls) re-enters the atmosphere from outer space. If its original temperature is 38°C, the effective average temperature of the atmosphere is 1093°C, and the effective heat transfer coefficient is , estimate the temperature of the shell after reentry, assuming the time of reentry is 10 min and the interior of the shell is evacuated.
1.A composite component is comprised of a tube and a concentric rod running inside it, both with a length of 1.5 meters. The tube is made of copper and has inner and outer diameters of 60 mm and 100 mm, respectively, a coefficient of thermal expansion and elastic modulus of 17 ×10−6? and 117 GPa, respectively. The rod is made of aluminium with a diameter, coefficient of thermal expansion and elastic modulus of 50 mm, 23 ×10−6? and 80 GPa, respectively. If the composite is exposed to a temperature rise of 120°C, determine:1.1 The sense and magnitude of the stresses induced in the composite if it is not restrained. 1.2 The sense and magnitude of the stresses induced in the composite if it is partially restrainedwith an allowed free expansion of 0.3 mm.
A steel rod, 12 mm in diameter, passes centrally through a copper tube 2.5 m long and having 36 mm and 48 mm as internal and external diameters respectively. The tube is closed at each end by 24 mm thick steel plates which are secured by nuts. The nuts are tightened until the copper tube is reduced in length by 0.50. The whole assembly is then raised in temperature by 60 degrees Celsius. Steel: Coefficient of expansion = 1.2x10^-5/degrees Celsius, Es = 200 GPa Copper: Coefficient of expansion = 1.75x10^-5/degrees Celsius, Ec = 100 GPa Calculate the stress in copper and stress in steel after the rise of temperature if the thickness of the plates remains unchanged. Indicate if the answer is tensile, tension, compression.
A steel rod, 12 mm in diameter, passes centrally through a copper tube 2.5 m long and having 36 mm and 48 mm as internal and external diameters respectively. The tube is closed at each end by 24 mm thick steel plates which are secured by nuts. The nuts are tightened until the copper tube is reduced in length by 0.50. The whole assembly is then raised in temperature by 60 degrees Celsius. Steel: Coefficient of expansion = 1.2x10^-5/degrees Celsius, Es = 200 GPa Copper: Coefficient of expansion = 1.75x10^-5/degrees Celsius, Ec = 100 GPa Calculate the stress in copper before the rise of temperature if the thickness of the plates remains unchanged. Indicate if the answer is tensile, tension or compression
Temperature stresses A composite bar is comprised of a concentric circular rod of copper and a tube of aluminium, each of length 500 mm, that are attached rigidly to above one another at both ends. The diameter of the copper rod is 30 mm, while the inner and outer diameters of the aluminium rod are 50 and 60 mm, respectively. The Young’s modulus and coefficients of thermal expansion for copper and aluminium are given as, 120 GPa and 80 GPa, and17 × 10−6 oC and 23 × 10−6/ o?, respectively Please show all formulas and substitutions into formulas 1 Calculate the magnitude of the stresses that are induced in the copper bar and aluminium rod if the composite bar is exposed to a temperature change of 500 oC, and state their senses. 2 Calculate the elongations of the constituents of the composite bar.
A 10 cm diameter pipe is covered by 2 layer of logging. the inside layer is 4 cm thick and has a coefficient of thermal conductivity of 0.08 w/m-k. the outside layer is 3 cm thick and has coefficient of thermal conductivity of 0.15 w/m-k. the steam main conveys steam a pressure of 1.7 mpa with 25 C superheat. the outside temperature of the lagging is 27 C. if the steam main is 30 m long, determine the interface temperature of the lagging and overall coefficient of heat transfer based on outside area.
A 10 kg axial load is uniformly carried by an aluminum alloy pipe with an outside diameter of 10 cm and an inside diameter of 9.6 cm. The pipe is 1.2 m long, Young's modulus for the aluminum alloy is 75 GPa. How much is the pipe compressed?
A composite bar is comprised of a concentric circular rod of copper and a tube of aluminum, each of length 500 mm, that are attached rigidly to above one another at both ends. The diameter of the copper rod is 30 mm, while the inner and outer diameters of the aluminum rod are 50 and 60 mm, respectively. The Young's modulus and coefficient of thermal expansion for copper and aluminum are given as, 120 GPa and 80 GPa, and 0.000017/degrees Celsius and 0.000023/degrees Celsius. 2.1)Calculate the magnitude of the stresses that are induced in the copper bar and aluminum rod if the composite bar is exposed to a temperature change of 50 degrees Celsius, and state their senses. 2.2)Calculate the elongation of the constituents of the composite bar.
To maximize production and minimize pumping costs, crude oil is heated to reduce its viscosity during transportation from a production field. (1) Consider a pipe-in-pipe configuration consisting of concentric steel tubes with an intervening insulating material. The inner tube is used to transport warm crude oil through cold ocean water. The inner steel pipe ( ks = 40 W/m·K) has an inside diameter of Di,1 = 150 mm and wall thickness ti = 20 mm while the outer steel pipe has an inside diameter of Di,1 = 250 mm and wall thickness . Determine the maximum allowable crude oil temperature to ensure the polyurethane foam insulation ( kp = 0.0425 W/m·K) provides an external convection heat transfer coefficient of ho = 500 W/m2·K. The convection coefficient associated with the flowing crude oil is hi = 450 W/m2·K. (2) It is proposed to enhance the performance of the pipe-in-pipe device by replacing a thin ( ta =10 mm) section of polyurethane located at the outside of the inner pipe with an…
To maximize production and minimize pumping costs, crude oil is heated to reduce its viscosity during transportation from a production field. (1) Consider a pipe-in-pipe configuration consisting of concentric steel tubes with an intervening insulating material. The inner tube is used to transport warm crude oil through cold ocean water. The inner steel pipe (ks= 40 W/m·K) has an inside diameter of Di, 1= 150 mm and wall thickness ti= 20 mm while the outer steel pipe has an inside diameter of Di, 2= 250 mm and wall thickness to=ti. Determine the maximum allowable crude oil temperature to ensure the polyurethane foam insulation (kp= 0.0675 W/m·K) between the two pipes does not exceed its maximum service temperature of Tp, max= 70°C. The ocean water is at ∞ T∞, o= -5°C and provides an external convection heat transfer coefficient of ho= 500 W/m2·K. The convection coefficient associated with the flowing crude oil is hi= 450 W/m2·K. (2) It is proposed to enhance the performance of the…
To maximize production and minimize pumping costs, crude oil is heated to reduce its viscosity during transportation from a production field. (1) Consider a pipe-in-pipe configuration consisting of concentric steel tubes with an intervening insulating material. The inner tube is used to transport warm crude oil through cold ocean water. The inner steel pipe (ks= 40 W/m·K) has an inside diameter of Di, 1= 150 mm and wall thickness ti= 20 mm while the outer steel pipe has an inside diameter of Di, 2= 250 mm and wall thickness to=ti. Determine the maximum allowable crude oil temperature to ensure the polyurethane foam insulation (kp= 0.0675 W/m·K) between the two pipes does not exceed its maximum service temperature of Tp, max= 70°C. The ocean water is at ∞ T∞, o= -5°C and provides an external convection heat transfer coefficient of ho= 500 W/m2·K. The convection coefficient associated with the flowing crude oil is hi= 450 W/m2·K. (2) It is proposed to enhance the performance of the…
An elastic rod with a cross-sectional area A = 2mm2 is stretched from an intial legth of 1.0m to a final legth of 1.1m at a constant tempreture of 15 degrees celcius . Calculate the heat exchanged between the elastic rod and its surroundings if it is made of a material with a isothermal Youngs modulus ET = 150GPa and a linear expansivity at constant tension af = 15 x 10 -6 K-1. a) 129.6675 J b) -129.6675 J c) -6.75 J d) 6.75 J