A hollow copper cylinder surrounds a solid aluminum cylinder and the assembly is subjected to an axial loading of 200 kN as shown in figure. The cross-sectional area of the copper is 20 cm?, while that of the aluminum is 60 cm?. Both cylinders are the same length before the load is applied. Determine the temperature rise of the entire system required to place all of the load on the aluminum cylinder. The cover plate at the top of the assembly is rigid. For copper E = 100 GPa, a = 17 x 10-6/ºC, while for aluminum E = 70 GPa, a=24 x 10-/°C.

A hollow copper cylinder surrounds a solid aluminum cylinder and the assembly is subjected to an axial loading of 200 kN as shown in figure. The cross-sectional area of the copper is 20 cm?, while that of the aluminum is 60 cm?. Both cylinders are the same length before the load is applied. Determine the temperature rise of the entire system required to place all of the load on the aluminum cylinder. The cover plate at the top of the assembly is rigid. For copper E = 100 GPa, a = 17 x 10-6/ºC, while for aluminum E = 70 GPa, a=24 x 10-/°C.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

3) The rigid horizontal bar AB is supported by three vertical rods as shown in the figure and carries the load of 110 kN. The system is stress free before the load is applied. After the load was applied, the temperature of all wires is raised by 20°C. Use a = 12x10-6/°C for steel, a = 18x10-6/°C for copper and a = 20x10-6/°C_for brass. Neglecting the weight of the bar AB, determine the location of the 110 kN force in order that AB remains horizontal. copper bar: A=195mm? steel bar: brass bar: A=130mm? A=325mm A D 110 kN Note: copper=110 GPA Brass=97 GPA Steel= 200 GPA 3.00m 2.00m 1.80m 1.20m 1.50m
Parvinbhai
The blue bar is made from steel with the following mechanical properties: Young's Modulus, E = 17x10° psi; Poisson's Ratio v = 0.31. The bar has a circular cross-section with diameter d= 0.50 in. being the length of each side. 557 lb 557 Ib 60 in. - Determine the following under the action of the axial load (assume elastic behavior): a. The bar's axial deformation, ô, in in.: b. The average axial or longitudinal strain, ELong: c. The change in the bar's diameter, in in.:
Problem 3: (M4) Your boss at a construction company asked you to verify the thickness of a 3 m long hollow-square steel column (E=200 GPA) that can withstand an axial compressive load of 50 MN, the outer dimension a is 400 mm. The column's cross section is shown in Figure.4. Assume the column is a fixed-free type. b Figure.4: Cross-section of a hollow-square steel column
PLEASE ANSWER ASAP TY! The two bars (1) and (2) are made of the aluminum with E = 70 GPa, has the same cross section of 100 mm x 20 mm, and supported by rigid supports at A and C. The coefficient of thermal expansion of the material is 23 x 10–6/oC. At T = 25oC, the two bars have a gap of 5 mm as shown. a) What is the reaction force (in KN) at fixed support A when the temperature is 100oC? b) What is the reaction force (in KN) at fixed support C when the temperature is 100oC? c) What is the stress (in MPa) in bar (1) when the temperature is 100oC? d) What is the stress (in MPa) in bar (2) when the temperature is 100oC?
Introduction to Fem
Problem 3: (MМ4) Your boss at a construction company asked you to verify the thickness of a 3 m long hollow-square steel column (E=200 GPA) that can withstand an axial compressive load of 50 MN, the outer dimension a is 400 mm. The column's cross section is shown in Figure.4. Assume the column is a fixed-free type. a b Figure.4: Cross-section of a hollow-square steel column
A 5-m rod having a uniform cross-sectional area of 1000 sq. mm. is secured between two walls5 meters apart. The load on the rod is zero at 27 °C. E = 200 GPa, α = 11.25x10-6 m/m-°C. Whenthe temperature rises to 57°C: What is the stress in the rod assuming that the walls are rigid and stress (in the rod) if the walls spring together with a total distance of 0.5 mm? pls box final answer
A 300 cm rigid bar is supported by two identical steels wires to maintain the horizontal position while it is hinged at point A as shown. Determine the tensile forces induced at the supports is a vertical load applied at the far end is at 45 kN. Show the free-body diagram. 100 cm E100 cm -100 cm– -100 cm- 45 kN