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The temperature strain in a bar is ________ to the change in temperature.
- a)Indirectly proportional
- b)Directly proportional
- c)Independent
- d)Equal
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The temperature strain in a bar is ________ to the change in temperat...
When the temperature of the material changes, there will be a corresponding change in dimension.
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When a member is free to expand or contract due to the rise or fall of the temperature, no stress will be induced in the member.
But, if the material is constrained (i.e., the body is not allowed to expand or contract freely), change in length due to rise or fall of temperature is prevented, stresses are developed in the body, known as thermal stress.
The change in length (ΔL) due to change in temperature is found to be directly proportional to the total length of the specimen. Stresslength of the member (L) and to the change in temperature (ΔT).
ΔL ∝ L ΔT
ΔL = αLΔT
Where α is known as the coefficient of thermal expansion and is defined as the change in a unit length of the material due to a unit change in temperature.
Temperature strain: ϵ = change in length/original length
So thermal strain is directly proportional to the change in temperature.
Thermal Stress = Strain × E = αΔTE
Most Upvoted Answer
The temperature strain in a bar is ________ to the change in temperat...
When the temperature of the material changes, there will be a corresponding change in dimension.
When a member is free to expand or contract due to the rise or fall of the temperature, no stress will be induced in the member.
But, if the material is constrained (i.e., the body is not allowed to expand or contract freely), change in length due to rise or fall of temperature is prevented, stresses are developed in the body, known as thermal stress.
The change in length (ΔL) due to change in temperature is found to be directly proportional to the total length of the specimen. Stresslength of the member (L) and to the change in temperature (ΔT).
ΔL ∝ L ΔT
ΔL = αLΔT
Where α is known as the coefficient of thermal expansion and is defined as the change in a unit length of the material due to a unit change in temperature.
Temperature strain: ϵ = change in length/original length
So thermal strain is directly proportional to the change in temperature.
Thermal Stress = Strain × E = αΔTE
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Community Answer
The temperature strain in a bar is ________ to the change in temperat...
The temperature strain in a bar is directly proportional to the change in temperature.
Explanation:
Temperature strain refers to the change in length or deformation of a material due to a change in temperature. When a solid material is subjected to a change in temperature, it expands or contracts. This expansion or contraction leads to a change in length or size of the material, resulting in strain.
The relationship between temperature strain and the change in temperature can be described as follows:
- Directly proportional: When two variables are directly proportional, it means that as one variable increases, the other variable also increases by a consistent ratio. In this case, the temperature strain and the change in temperature are directly proportional, which means that as the temperature increases, the strain also increases.
- Independent: If the temperature strain and the change in temperature were independent, it would mean that there is no relationship between the two variables. However, in the case of temperature strain in a bar, it is not independent of the change in temperature.
- Equal: If the temperature strain and the change in temperature were equal, it would mean that the strain experienced by the bar is the same as the temperature change. However, this is not the case as the strain experienced by the bar depends on the material properties and dimensions of the bar.
In conclusion, the correct answer is option B) Directly proportional. The temperature strain in a bar is directly proportional to the change in temperature.
Explanation:
Temperature strain refers to the change in length or deformation of a material due to a change in temperature. When a solid material is subjected to a change in temperature, it expands or contracts. This expansion or contraction leads to a change in length or size of the material, resulting in strain.
The relationship between temperature strain and the change in temperature can be described as follows:
- Directly proportional: When two variables are directly proportional, it means that as one variable increases, the other variable also increases by a consistent ratio. In this case, the temperature strain and the change in temperature are directly proportional, which means that as the temperature increases, the strain also increases.
- Independent: If the temperature strain and the change in temperature were independent, it would mean that there is no relationship between the two variables. However, in the case of temperature strain in a bar, it is not independent of the change in temperature.
- Equal: If the temperature strain and the change in temperature were equal, it would mean that the strain experienced by the bar is the same as the temperature change. However, this is not the case as the strain experienced by the bar depends on the material properties and dimensions of the bar.
In conclusion, the correct answer is option B) Directly proportional. The temperature strain in a bar is directly proportional to the change in temperature.
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The temperature strain in a bar is ________ to the change in temperature.a)Indirectly proportionalb)Directly proportionalc)Independentd)EqualCorrect answer is option 'B'. Can you explain this answer?
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