0.45 m 3m 0.3 m 0.95 m Figure 1 Bar CDE is a rigid bar that is attached to a pin support at E and rests on the 30 mm diameter brass eylinder BD. A 22 mm diameter steel rod AC passes through a hole in the bar and is secured by a nut which is tightly fitted when the temperature of the entire assembly is 20°C. The temperature of the brass cylinder is then raised to 51 °C while the steel rod remains at 20 °C. Assuming that no stresses were present before the temperature change, determine the stress in the cylinder.

0.45 m 3m 0.3 m 0.95 m Figure 1 Bar CDE is a rigid bar that is attached to a pin support at E and rests on the 30 mm diameter brass eylinder BD. A 22 mm diameter steel rod AC passes through a hole in the bar and is secured by a nut which is tightly fitted when the temperature of the entire assembly is 20°C. The temperature of the brass cylinder is then raised to 51 °C while the steel rod remains at 20 °C. Assuming that no stresses were present before the temperature change, determine the stress in the cylinder.

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

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Question

- 0.45 m
* 0.3 m
D.
0.3 m
B
0.95 m
Figure 1
Bar CDE is a rigid bar that is attached to a pin support at E and rests on the 30 mm diameter
brass cylinder BD. A 22 mm diameter steel rod AC passes through a hole in the bar and is
secured by a nut which is tightly fitted when the temperature of the entire assembly is 20°C.
The temperature of the brass cylinder is then raised to 51 °C while the steel rod remains at 20
°C. Assuming that no stresses were present before the temperature change, determine the stress
in the cylinder.
Rod AC
Steel
200 GPa
Cylinder BD
Brass
105 GPa
Material
Young's Modulus, E
Coefficient of thermal
expansion, a
11.7 x 104/°C
20.9 x 10°C

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