3. Three bars each made from different materials are placed between walls when the temperature is 14°C. Determine the support reaction when the temperature becomes 19°C. The material properties are given in the figure. Answer: R = 3502.30 N Steel Brass Copper Ecu 120 GPa Est = 200 GPa ast=12(106)/°C Ebr = 100 GPa abr 21(106)/C = au = 17(10-6)/°C Acu = 515 mm² |Ast = 200 mm² Abr 450 mm² -300 mm- 100 mm -200 mm-

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...
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3. Three bars each made from different materials are placed between walls when the temperature is
14°C. Determine the support reaction when the temperature becomes 19°C. The material properties are
given in the figure.
Answer: R = 3502.30 N
Steel
Brass
Copper
Ebr 100 GPa
Ecu = 120 GPa
Est=200 GPa
ast = 12(10-6)/°C
abr = 21(106)/C
acu = 17(10-6)/°C
Acu = 515 mm²
|Ast = 200 mm² Abr= 450 mm²
-300 mm-
200 mm-
100 mm
4. The rigid slab is supported by two identical copper rods as shown. The copper rod has an area of 500
mm² with a = 16.8 μm/ (m°C) and E = 120 GPa. There is a gap of 0.18 mm between the slab and the
aluminum rod. The aluminum rod has an area of 400 mm² with a = 23.1 μm/ ( mºC) and E = 70 GPa.
Compute the stress developed in each rod when the temperature is raised to 85°C. Assume that the
weight of the slab is negligible.
Answer: OAI = 16.80 MPa
85
→TA
Δ
Copper
Aluminum
Copper
750 mm-
Transcribed Image Text:3. Three bars each made from different materials are placed between walls when the temperature is 14°C. Determine the support reaction when the temperature becomes 19°C. The material properties are given in the figure. Answer: R = 3502.30 N Steel Brass Copper Ebr 100 GPa Ecu = 120 GPa Est=200 GPa ast = 12(10-6)/°C abr = 21(106)/C acu = 17(10-6)/°C Acu = 515 mm² |Ast = 200 mm² Abr= 450 mm² -300 mm- 200 mm- 100 mm 4. The rigid slab is supported by two identical copper rods as shown. The copper rod has an area of 500 mm² with a = 16.8 μm/ (m°C) and E = 120 GPa. There is a gap of 0.18 mm between the slab and the aluminum rod. The aluminum rod has an area of 400 mm² with a = 23.1 μm/ ( mºC) and E = 70 GPa. Compute the stress developed in each rod when the temperature is raised to 85°C. Assume that the weight of the slab is negligible. Answer: OAI = 16.80 MPa 85 →TA Δ Copper Aluminum Copper 750 mm-
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