The assembly has the diameters and material make-up as indicated in the figure. If it fits securely between its supports when temperature is 120 degree Fahrenheit, determine the average normal stress in each material when temperature reaches 100 degree Fahrenheit. For each section, draw the state of stress on a volume element. Modulus of elasticity for aluminum, bronze and copper (all in ksi) are 10 x 10°, 15 x 10°, 26 x 10°, respectively. Coefficient of thermal expansion (in units of 1/F) for aluminum, bronze and copper are 12.8 x 10°, 9.6 x 10“, 10.6 x 10°, respectively. 304 Stainless - 2014-T6 Aluminum steel C 86100 Bronze 8 in. 12 in. C 4 in. 3 ft- 4 ft-

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The diagram illustrates a rod composed of three different materials: 304 Stainless Steel, 86100 Bronze, and 2014-T6 Aluminum. Each section is labeled with its respective length and diameter:

- **304 Stainless Steel Section:**
  - Length: 3 inches
  - Diameter: 0.5 inches

- **86100 Bronze Section:**
  - Length: 8 inches
  - Diameter: 1 inch

- **2014-T6 Aluminum Section:**
  - Length: 12 inches
  - Diameter: 1.5 inches

The schematic additionally details the average normal stress in the rod when the temperature changes by 100 degrees Fahrenheit. For each material, a clear distinction is made regarding the modulus of elasticity (in psi × 10^6) and the coefficient of thermal expansion (in units of 10^-6/°F):

- **Aluminum:**
  - Modulus of Elasticity: 10.6 x 10^6 psi
  - Coefficient of Thermal Expansion: 12.8 x 10^-6/°F

- **Bronze:**
  - Modulus of Elasticity: 15 x 10^6 psi
  - Coefficient of Thermal Expansion: 9.6 x 10^-6/°F

- **Copper:**
  - Modulus of Elasticity: 17.3 x 10^6 psi
  - Coefficient of Thermal Expansion: 10.9 x 10^-6/°F

The assembly's support conditions are represented in the figure, indicating fixed connections that secure the rod during temperature variations. This diagram is crucial for understanding the mechanical behavior and thermal response of composite material assemblies.
Transcribed Image Text:The diagram illustrates a rod composed of three different materials: 304 Stainless Steel, 86100 Bronze, and 2014-T6 Aluminum. Each section is labeled with its respective length and diameter: - **304 Stainless Steel Section:** - Length: 3 inches - Diameter: 0.5 inches - **86100 Bronze Section:** - Length: 8 inches - Diameter: 1 inch - **2014-T6 Aluminum Section:** - Length: 12 inches - Diameter: 1.5 inches The schematic additionally details the average normal stress in the rod when the temperature changes by 100 degrees Fahrenheit. For each material, a clear distinction is made regarding the modulus of elasticity (in psi × 10^6) and the coefficient of thermal expansion (in units of 10^-6/°F): - **Aluminum:** - Modulus of Elasticity: 10.6 x 10^6 psi - Coefficient of Thermal Expansion: 12.8 x 10^-6/°F - **Bronze:** - Modulus of Elasticity: 15 x 10^6 psi - Coefficient of Thermal Expansion: 9.6 x 10^-6/°F - **Copper:** - Modulus of Elasticity: 17.3 x 10^6 psi - Coefficient of Thermal Expansion: 10.9 x 10^-6/°F The assembly's support conditions are represented in the figure, indicating fixed connections that secure the rod during temperature variations. This diagram is crucial for understanding the mechanical behavior and thermal response of composite material assemblies.
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