At a temperature of 11°C, a 2-mm gap exists between two polymer bars and a rigid support, as shown in the figure. Bars (1) and (2) have coefficients of thermal expansion of a₁ = 122 x 10-6/°C and a2 = 80 x 10-6/°C, respectively. The supports at A and Care rigid. Determine the lowest temperature at which the 2-mm gap is closed. Assume L₁= 580 mm and L₂ = 320 mm. Gap g (1) Answer: T = i L₁ B L2 °℃ (2) с
At a temperature of 11°C, a 2-mm gap exists between two polymer bars and a rigid support, as shown in the figure. Bars (1) and (2) have coefficients of thermal expansion of a₁ = 122 x 10-6/°C and a2 = 80 x 10-6/°C, respectively. The supports at A and Care rigid. Determine the lowest temperature at which the 2-mm gap is closed. Assume L₁= 580 mm and L₂ = 320 mm. Gap g (1) Answer: T = i L₁ B L2 °℃ (2) с
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
![### Thermal Expansion Gap Problem: Polymer Bars
#### Problem Statement:
At a temperature of 11°C, a 2-mm gap exists between two polymer bars and a rigid support, as shown in the figure. Bars (1) and (2) have coefficients of thermal expansion of α₁ = 122 x 10⁻⁶ /°C and α₂ = 80 x 10⁻⁶ /°C, respectively. The supports at A and C are rigid. Determine the lowest temperature at which the 2-mm gap is closed. Assume L₁ = 580 mm and L₂ = 320 mm.
#### Data:
- Initial temperature (T₀): 11°C
- Initial gap (g): 2 mm
- Coefficient of thermal expansion for bar (1) (α₁): 122 x 10⁻⁶ /°C
- Coefficient of thermal expansion for bar (2) (α₂): 80 x 10⁻⁶ /°C
- Length of bar (1) (L₁): 580 mm
- Length of bar (2) (L₂): 320 mm
- Supports at points A and C are rigid
#### Diagram Description:
The diagram shows two polymer bars placed end-to-end between two rigid supports labeled A and C.
- Bar (1) is on the left, with a length of L₁. It has a coefficient of thermal expansion α₁.
- Bar (2) is on the right, with a length of L₂. It has a coefficient of thermal expansion α₂.
- There is a gap (g) of 2 mm between the two bars.
#### Calculation:
Determine the lowest temperature (T) at which the 2-mm gap is closed.
---
#### Interactive Component:
**Answer: T =** [________] °C
---
**Attempts: 0 of 5 used**
---
**Submit Answer**
#### Resources:
- eTextbook and Media
Note: Ensure to review all related textbook materials and example problems for further guidance on solving thermal expansion problems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8209b3d5-f39b-4753-8582-d28823046294%2F1f04d3f3-cb7a-4bc7-aeeb-d17fbc35bd32%2Fij95ptc_processed.png&w=3840&q=75)
Transcribed Image Text:### Thermal Expansion Gap Problem: Polymer Bars
#### Problem Statement:
At a temperature of 11°C, a 2-mm gap exists between two polymer bars and a rigid support, as shown in the figure. Bars (1) and (2) have coefficients of thermal expansion of α₁ = 122 x 10⁻⁶ /°C and α₂ = 80 x 10⁻⁶ /°C, respectively. The supports at A and C are rigid. Determine the lowest temperature at which the 2-mm gap is closed. Assume L₁ = 580 mm and L₂ = 320 mm.
#### Data:
- Initial temperature (T₀): 11°C
- Initial gap (g): 2 mm
- Coefficient of thermal expansion for bar (1) (α₁): 122 x 10⁻⁶ /°C
- Coefficient of thermal expansion for bar (2) (α₂): 80 x 10⁻⁶ /°C
- Length of bar (1) (L₁): 580 mm
- Length of bar (2) (L₂): 320 mm
- Supports at points A and C are rigid
#### Diagram Description:
The diagram shows two polymer bars placed end-to-end between two rigid supports labeled A and C.
- Bar (1) is on the left, with a length of L₁. It has a coefficient of thermal expansion α₁.
- Bar (2) is on the right, with a length of L₂. It has a coefficient of thermal expansion α₂.
- There is a gap (g) of 2 mm between the two bars.
#### Calculation:
Determine the lowest temperature (T) at which the 2-mm gap is closed.
---
#### Interactive Component:
**Answer: T =** [________] °C
---
**Attempts: 0 of 5 used**
---
**Submit Answer**
#### Resources:
- eTextbook and Media
Note: Ensure to review all related textbook materials and example problems for further guidance on solving thermal expansion problems.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY