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A bar of copper and steel form a composite system. They are heated to a temperature of 40°C. What type of stress is induced in the copper bar?
- a)Tensile
- b)Compressive
- c)Shear
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A bar of copper and steel form a composite system. They are heated to ...
Coefficient of expansion of copper is more than that of steei. Hence, copper will develop compressive stress.
Most Upvoted Answer
A bar of copper and steel form a composite system. They are heated to ...
°C. The coefficient of linear expansion for copper is 16.6 × 10^-6 /°C and for steel is 12 × 10^-6 /°C. Determine the change in length of the composite system if it is heated to a temperature of 100°C.
To determine the change in length of the composite system, we need to calculate the change in length for each material and then add them together.
For copper:
Coefficient of linear expansion = 16.6 × 10^-6 /°C
Initial temperature = 40°C
Final temperature = 100°C
Change in temperature = Final temperature - Initial temperature
= 100°C - 40°C
= 60°C
Change in length for copper = Coefficient of linear expansion × Initial length × Change in temperature
= 16.6 × 10^-6 /°C × Initial length × 60°C
For steel:
Coefficient of linear expansion = 12 × 10^-6 /°C
Initial temperature = 40°C
Final temperature = 100°C
Change in temperature = Final temperature - Initial temperature
= 100°C - 40°C
= 60°C
Change in length for steel = Coefficient of linear expansion × Initial length × Change in temperature
= 12 × 10^-6 /°C × Initial length × 60°C
Total change in length of the composite system = Change in length of copper + Change in length of steel
= 16.6 × 10^-6 /°C × Initial length × 60°C + 12 × 10^-6 /°C × Initial length × 60°C
Simplifying the equation:
= (16.6 + 12) × 10^-6 /°C × Initial length × 60°C
= 28.6 × 10^-6 /°C × Initial length × 60°C
Therefore, the change in length of the composite system if it is heated to a temperature of 100°C is 28.6 × 10^-6 /°C × Initial length × 60°C.
To determine the change in length of the composite system, we need to calculate the change in length for each material and then add them together.
For copper:
Coefficient of linear expansion = 16.6 × 10^-6 /°C
Initial temperature = 40°C
Final temperature = 100°C
Change in temperature = Final temperature - Initial temperature
= 100°C - 40°C
= 60°C
Change in length for copper = Coefficient of linear expansion × Initial length × Change in temperature
= 16.6 × 10^-6 /°C × Initial length × 60°C
For steel:
Coefficient of linear expansion = 12 × 10^-6 /°C
Initial temperature = 40°C
Final temperature = 100°C
Change in temperature = Final temperature - Initial temperature
= 100°C - 40°C
= 60°C
Change in length for steel = Coefficient of linear expansion × Initial length × Change in temperature
= 12 × 10^-6 /°C × Initial length × 60°C
Total change in length of the composite system = Change in length of copper + Change in length of steel
= 16.6 × 10^-6 /°C × Initial length × 60°C + 12 × 10^-6 /°C × Initial length × 60°C
Simplifying the equation:
= (16.6 + 12) × 10^-6 /°C × Initial length × 60°C
= 28.6 × 10^-6 /°C × Initial length × 60°C
Therefore, the change in length of the composite system if it is heated to a temperature of 100°C is 28.6 × 10^-6 /°C × Initial length × 60°C.
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A bar of copper and steel form a composite system. They are heated to a temperature of 40°C. What type of stress is induced in the copper bar?a)Tensileb)Compressivec)Sheard)None of theseCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A bar of copper and steel form a composite system. They are heated to a temperature of 40°C. What type of stress is induced in the copper bar?a)Tensileb)Compressivec)Sheard)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bar of copper and steel form a composite system. They are heated to a temperature of 40°C. What type of stress is induced in the copper bar?a)Tensileb)Compressivec)Sheard)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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