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 °C. Parameter x and y are given by: x= last digit of your matrix number y = fifth digit of your matrix number For example, a student with the matrix number CD200187 will have the values of 2x = 27 and 7y 78. i. Calculate the average normal stress in each material when the temperature reaches T2. ii. Determine the corresponding displacement at point A. Brass Сорper Steel |A -600 mm 400 mm 200 mm Figure Q1(b) Table Q1(b) Steel Brass Copper 120 GPa 200GPA 100 GPa 17x10/ °C 21x10/ °C 24 mm a 12x10/ °C d 16mm 26 mm B.

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Q 1b

(b)
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 °C. Parameter x and y are given by:
x = last digit of your matrix number
y = fifth digit of your matrix number
For example, a student with the matrix number CD200187 will have the values of 2x
= 27 and 7y 78.
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
_600 mm
400 mm
200 mm
Figure Q1(b)
Table Q1(b)
Steel
Brass
Сорper
120 GPa
E
200GPA
100 GPa
12x10/ °C
21x10/ °C
17x10/ °C
α
d
16mm
24 mm
26 mm
Transcribed Image Text:(b) 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 °C. Parameter x and y are given by: x = last digit of your matrix number y = fifth digit of your matrix number For example, a student with the matrix number CD200187 will have the values of 2x = 27 and 7y 78. 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 _600 mm 400 mm 200 mm Figure Q1(b) Table Q1(b) Steel Brass Сорper 120 GPa E 200GPA 100 GPa 12x10/ °C 21x10/ °C 17x10/ °C α d 16mm 24 mm 26 mm
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