Figure Q1(b) shows three rods that were assembled together and held between rigid supports. The material properties of each material are given in Table Q1(b). Suppose the initial temperature is T1 = 2x °C. The temperature then raised up and reaches T2 = 7y oG, Parameter x and y are given by X=0 Y=0 i) Calculate the average normal stress in each material when the temperature reaches T2. ii) Determine the corresponding displacement at point A. Brass Copper Steel JA |B _600 mm _400 mm 200 mm Figure Q1(b)
Design Against Fluctuating Loads
Machine elements are subjected to varieties of loads, some components are subjected to static loads, while some machine components are subjected to fluctuating loads, whose load magnitude tends to fluctuate. The components of a machine, when rotating at a high speed, are subjected to a high degree of load, which fluctuates from a high value to a low value. For the machine elements under the action of static loads, static failure theories are applied to know the safe and hazardous working conditions and regions. However, most of the machine elements are subjected to variable or fluctuating stresses, due to the nature of load that fluctuates from high magnitude to low magnitude. Also, the nature of the loads is repetitive. For instance, shafts, bearings, cams and followers, and so on.
Design Against Fluctuating Load
Stress is defined as force per unit area. When there is localization of huge stresses in mechanical components, due to irregularities present in components and sudden changes in cross-section is known as stress concentration. For example, groves, keyways, screw threads, oil holes, splines etc. are irregularities.
Q1B
![Figure Q1(b) shows three rods that were assembled together and held between rigid supports. The
material properties of each material are given in Table Q1(b). Suppose the initial temperature is T1 =
2x °C. The temperature then raised up and reaches T2 = 7y oC, Parameter x and y are given by
X=0
Y=0
i) Calculate the average normal stress in each material when the temperature reaches T2.
ii) Determine the corresponding displacement at point A.
Brass
Copper
Steel
|A
|B
.600 mm
.400 mm
200 mm
Figure Q1(b)
Table Q1(b)
Steel
Brass
Сopper
120 GPa
E
200GPA
100 GPa
12×10-/ °C
21×10/ °C
17×10/ °C
a
d
16mm
24 mm
26 mm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0d164f0-ae2d-4197-bf60-33e572b2a63f%2Fd26b0dcb-cb76-4d3e-9728-868004fd13ff%2Fv5u0xdd_processed.png&w=3840&q=75)
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