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Consider the following statements: The thermal stress is induced in a component in general, when
1. a temperature gradient exists in the component
2. the component is free from any restraint
3. it is restrained to expand or contract freely
Which of the above statements are correct?
  • a)
    1 and 2
  • b)
    2 and 3
  • c)
    3 alone
  • d)
    2 alone
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider the following statements: The thermal stress is induced in a...
1. If a temperature gradient exists in the component, then there will be thermal stresses generated if the component is restrained to expand or contract freely.
2. If the component is free from restraints, no stresses will be generated. However, strain will be there.
3. Thermal stresses will be induced when it is restrained to expand or contract freely.
Ex.: fixed beam with a rise in temperature.
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Most Upvoted Answer
Consider the following statements: The thermal stress is induced in a...
Thermal Stress in Components

Thermal stress is induced in a component when there is a difference in temperature across the component. This can cause the component to expand or contract, which can generate internal stresses. The following statements describe the conditions under which thermal stress is induced in a component:

1. Temperature Gradient Exists in the Component

When there is a temperature gradient in a component, i.e., when different parts of the component are at different temperatures, thermal stress can be induced. This is because the hotter parts of the component will tend to expand more than the cooler parts, which can lead to internal stresses.

2. Component is Free from Any Restraint

When a component is free to expand or contract without any restraint, thermal stress can be induced. This is because the component will try to expand or contract to accommodate the temperature change, but if it is unable to do so, internal stresses can be generated.

3. Component is Restrained to Expand or Contract Freely

When a component is restrained from expanding or contracting freely, thermal stress can be induced. This is because the component will try to expand or contract to accommodate the temperature change, but if it is unable to do so, internal stresses can be generated.

Correct Answer: C (3 alone)

Only statement 3 is correct because thermal stress is induced in a component when it is restrained from expanding or contracting freely. Statements 1 and 2 are incorrect because a temperature gradient and lack of restraint alone are not sufficient to induce thermal stress; the component must also be restrained from expanding or contracting freely.
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