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 QC, 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.

Elements Of Electromagnetics
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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
Transcribed Image Text: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
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