Question 4: Copper Steel Figure 3. Bi-metal Bar Assembly A 100in Bi-metal bar consists of Copper and Steel is illustrated in Figure 3. Both ends are locked and fixed in place; and the weight of the center flag is negligible. The specification of the material is summarized in the following table: Соper 1.80E+07 Steel 3.00E+07 Elasticity (psi) Coefficient of Thermal (in/in°C) Length (in) Cross Sectional Area (in°) 1.60E-05 1.00E-05 50 50 10 10 It is a hot summer day. The temperature of the whole assembly has increased 30°C. Determine a) The local and global stiffness matrix (K), b) The local and global Thermal force vector, c) Apply B.C. Which way does the flag go? By how much? d) What are the reaction forces from both walls? e) Max Stress on Copper? Max Stress on Steel?

Elements Of Electromagnetics
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Question 4:
Copper
Steel
Figure 3. Bi-metal Bar Assembly
A 100in Bi-metal bar consists of Copper and Steel is illustrated in Figure 3. Both ends are locked and
fixed in place; and the weight of the center flag is negligible. The specification of the material is
summarized in the following table:
Copper
1.80E+07
Steel
Elasticity (psi)
Coefficient of Thermal (in/in°C)
Length (in)
Cross Sectional Area (in)
3.00E+07
1.60E-05
1.00E-05
50
50
10
10
It is a hot summer day. The temperature of the whole assembly has increased 30°C.
Detemine
a) The local and global stiffness matrix (K],
b) The local and global Thermal force vector,
c) Apply B.C. Which way does the flag go? By how much?
d) What are the reaction forces from both walls?
e) Max Stress on Copper? Max Stress on Steel?
Transcribed Image Text:Question 4: Copper Steel Figure 3. Bi-metal Bar Assembly A 100in Bi-metal bar consists of Copper and Steel is illustrated in Figure 3. Both ends are locked and fixed in place; and the weight of the center flag is negligible. The specification of the material is summarized in the following table: Copper 1.80E+07 Steel Elasticity (psi) Coefficient of Thermal (in/in°C) Length (in) Cross Sectional Area (in) 3.00E+07 1.60E-05 1.00E-05 50 50 10 10 It is a hot summer day. The temperature of the whole assembly has increased 30°C. Detemine a) The local and global stiffness matrix (K], b) The local and global Thermal force vector, c) Apply B.C. Which way does the flag go? By how much? d) What are the reaction forces from both walls? e) Max Stress on Copper? Max Stress on Steel?
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