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

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

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 4.33P

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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. Calculate the stresses in copper and steel before and after the rise of temperature if the thickness of the plates remains unchanged. Steel: Coefficient of expansion = 1.2x10^-5/degrees Celsius, Es = 200 GPa Copper: Coefficient of expansion = 1.75x10^-5/degrees Celsius, Ec = 100 GPa Also indicate if the answer is tensile, tension or 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. Calculate the stresses in copper and steel before and after the rise of temperature if the thickness of the plates remains unchanged. Steel: Coefficient of expansion = 1.2x10^-5/degrees Celsius, Es = 200 GPa Copper: Coefficient of expansion = 1.75x10^-5/degrees Celsius, Ec = 100 GPa
I want to know how much heat the tube lost due to the material it is made of aluminum or steel. Even if it is a small difference in temperature. I want to know which material Conduct Heat the Best through this problem. material: Aluminum, steel ( the dimensions are the same for both) temperature touching cylinder: 65 Celcius temeprature inside cylinder 64.5 celsius room temperature 24 celcius Tube measurements outer radius r1 r1 = 4 in inner radius r2 r2 = 3 in outer circumference C1 C1 = 25.132741228718 in inner circumference C2 C2 = 18.849555921539 in height h = 8 in wall thickness t = 1 in
A steel pipe with a 50 mm outside diameter and a 43.75 mm inside diameter surrounds a solid brass rod 37.5 mm in diameter as shown. Both materials are joined to a rigid cover plate at each end. The assembly is free to expand longitudinally. The assembly is stress free at a temperature of 27 degree C. For steel, Young's modulus is 200 GN/m^2, and the coefficient of linear thermal expansion is 11.7 x 10^-6 1/degree C. For brass, Young's modulus is 93.33 GN/m^2, and the coefficient of linear thermal expansion is 1.872 x 10^-5 1/degree C. What is the stress in the steel tube when the temperature is raised to 121 degree C?
14. A solid steel shaft of 0.2 m diameter has a bronze bush of 0.3 m outer diameter shrunk on to it. In order to remove the bush, the whole assembly is raised in temperature uniformly. After a rise of 100°C the bush can just be moved along the shaft. Neglecting any effect of temperature in the axial direction, calculate the original interface pressure between the bush and the shaft. For steel: E = 208 GN/m², v= 0.29, a = 12 x 10-6 per a = 18 × 10 6 per For bronze: E= 112 GN/m², v=0.33,
Consider the steel pressure vessel shown in Figure 1, intended to withstand an internalpressure of 40 MPa. The vessel has an outer diameter of 300 mm, an overall length of 500mm and a wall thickness of 30 mm. There is a 30 mm fillet radius where the interior wallsurface joins the end caps, as shown in the section view in Figure 1. The vessel is made ofASTM A27 steel. Use ANSYS Workbench to simulate this component and comment on itssuitability for production given the loading conditions detailed above.
Question 4 A steel rod of 20 mm diameter passes centrally through a copper tube of 50 mm external diameter and 40 mm internal diameter. The tube is closed at each end by rigid plates of negligible thickness. The nuts are tightened lightly home on the projecting parts of the rod. If the temperature of the assembly is raised by 50°C, calculate the stresses developed in copper and steel. Take E for steel and copper as 200 GN/m² and 100 GN/m² and a for steel and copper as 12x 10-6 per °C and 18 x 10-6 per °C.
(b) shown in Figure 1(b). The tube and the bar are of the same initial length. The combination is compressed between two rigid parallel plates by a force of 500 kN. The diameter of the steel bar is 40 mm, and the inside and outside diameters of the alloy tube are 60 mm and 100 mm respectively. The Young's moduli for steel and aluminium alloy respectively are Est = 200 GNM2, EAI = 70 GNm-2. An assembly of a steel bar enclosed within an aluminium alloy tube is %3D %3D Find the stresses generated in the steel bar and the aluminium alloy tube. 500 kN Rigid plate Aluminium tube Steel bar Rigid plate 500 kN Figure 1(b)
A steel rod of 20 mm diameter passes centrally through a copper tube 40 mm external diameter and 30 mm internal diameter. The tube is closed at each end by rigid plates of negligible thickness. The nuts are tightened lightly home on the projected parts of the rod. If the temperature of the assembly is raised by 60°C, calculate the stresses developed in copper and steel. Take E for steel and copper as 200 GN/m2 and 100 GN/m2 and α for steel and copper as 12 x 10-6 per °C and 18 x 10-6 per °C.
A circular cross-sectional rod made of AISI Type 303 Stainless Steel is normally operated at126oF. Length and radius of the rod are 1.5 ft and 1.75 in., respectively. What would be thechange in length of the rod, if it is subjected to a temperature of 214oF? Coefficient of thermal expansion of the rods’ material is 9.6 × 10^-6 in./in. Degrees Fahrenheit.
5. A steel bolt through a 25-in long aluminum tube has the nut turned on until it just touches the end of the tube. No stress is introduced on the bolt or the tube. The temperature of the assembly is raised from 70 to 79 degrees Fahrenheit. The cross- sectional area of the bolt is 0.08 sq. inch and the cross-sectional area of the tube of 0.25 sq. inch. For steel: E = 30 x 106 psi, coefficient of thermal expansion = 6.5 x 10-6/°F For aluminum: E = 10 x 106 psi, coefficient of thermal expansion = 13.0 x 10-6/°F a. Find the thermal deformation (in inches) of the bolt. b. Find the thermal deformation (in inches) of the aluminum tube. c. Find the stress (in psi) induced in the bolt by the temperature change. d. Find the stress (in psi) induced in the aluminum tube by the temperature change. 1911 EDI
PROBLEM 3. The assembly shown constructed from a steel bolt with a diameter of 8 mm and fits and a magnesium sleeve with an inner diameter of 10 mm and an outer diameter of 12 mm. The length of the sleeve is 150 mm. The assembly is originally at a temperature of T1 = 20°C and then the temperature is raised to a final value of T2 = 120°C. If there is gap of 0.1 mm between sleeve and the rigid washer at end B before the heating, determine the average normal stress in the bolt and the sleeve. Est = 200 GPa, Emg = 44.7 GPa, ast = 14(106)/°C, mg = 26(10°)/°C. Rigid washers А В 150 mm 0,1 mm