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A steel rod of 3m is manufactured at 250C the temperature of rod is increases to 1250C. If free expansion is 3.6mm, what is the temperature stresses produced if 1.5mm expansion is permitted? A. 100mpa B. 200mpa C. 150mpa D. 140mpa Answer» D. 140mpa?
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A steel rod of 3m is manufactured at 250C the temperature of rod is in...
Problem:
A steel rod of length 3m is manufactured at a temperature of 25°C. The temperature of the rod increases to 1250°C. If the free expansion is measured to be 3.6mm, what is the temperature stress produced if only 1.5mm expansion is permitted?
Solution:
To solve this problem, we need to use the concept of thermal expansion and the equation for stress. The equation for thermal expansion is given by:
Expansion = α * L * ΔT
Where:
Expansion is the change in length of the rod
α is the coefficient of linear expansion of the material
L is the original length of the rod
ΔT is the change in temperature
In this case, the free expansion is given as 3.6mm, which means that the change in length of the rod is 3.6mm. The original length of the rod is 3m (3000mm). The change in temperature is 1250°C - 25°C = 1225°C.
We can rearrange the equation for thermal expansion to solve for α:
α = Expansion / (L * ΔT)
Plugging in the values, we get:
α = 3.6mm / (3000mm * 1225°C) = 9.333e-7 (per °C)
Now, we can calculate the temperature stress using the equation for stress:
Stress = α * ΔT
Plugging in the values, we get:
Stress = 9.333e-7 (per °C) * 1.5mm = 1.4MPa
Therefore, the temperature stress produced when only 1.5mm expansion is permitted is 1.4MPa.
A steel rod of length 3m is manufactured at a temperature of 25°C. The temperature of the rod increases to 1250°C. If the free expansion is measured to be 3.6mm, what is the temperature stress produced if only 1.5mm expansion is permitted?
Solution:
To solve this problem, we need to use the concept of thermal expansion and the equation for stress. The equation for thermal expansion is given by:
Expansion = α * L * ΔT
Where:
Expansion is the change in length of the rod
α is the coefficient of linear expansion of the material
L is the original length of the rod
ΔT is the change in temperature
In this case, the free expansion is given as 3.6mm, which means that the change in length of the rod is 3.6mm. The original length of the rod is 3m (3000mm). The change in temperature is 1250°C - 25°C = 1225°C.
We can rearrange the equation for thermal expansion to solve for α:
α = Expansion / (L * ΔT)
Plugging in the values, we get:
α = 3.6mm / (3000mm * 1225°C) = 9.333e-7 (per °C)
Now, we can calculate the temperature stress using the equation for stress:
Stress = α * ΔT
Plugging in the values, we get:
Stress = 9.333e-7 (per °C) * 1.5mm = 1.4MPa
Therefore, the temperature stress produced when only 1.5mm expansion is permitted is 1.4MPa.
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A steel rod of 3m is manufactured at 250C the temperature of rod is increases to 1250C. If free expansion is 3.6mm, what is the temperature stresses produced if 1.5mm expansion is permitted? A. 100mpa B. 200mpa C. 150mpa D. 140mpa Answer» D. 140mpa?
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A steel rod of 3m is manufactured at 250C the temperature of rod is increases to 1250C. If free expansion is 3.6mm, what is the temperature stresses produced if 1.5mm expansion is permitted? A. 100mpa B. 200mpa C. 150mpa D. 140mpa Answer» D. 140mpa? for Civil Engineering (CE) 2024 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 steel rod of 3m is manufactured at 250C the temperature of rod is increases to 1250C. If free expansion is 3.6mm, what is the temperature stresses produced if 1.5mm expansion is permitted? A. 100mpa B. 200mpa C. 150mpa D. 140mpa Answer» D. 140mpa? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steel rod of 3m is manufactured at 250C the temperature of rod is increases to 1250C. If free expansion is 3.6mm, what is the temperature stresses produced if 1.5mm expansion is permitted? A. 100mpa B. 200mpa C. 150mpa D. 140mpa Answer» D. 140mpa?.
A steel rod of 3m is manufactured at 250C the temperature of rod is increases to 1250C. If free expansion is 3.6mm, what is the temperature stresses produced if 1.5mm expansion is permitted? A. 100mpa B. 200mpa C. 150mpa D. 140mpa Answer» D. 140mpa? for Civil Engineering (CE) 2024 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 steel rod of 3m is manufactured at 250C the temperature of rod is increases to 1250C. If free expansion is 3.6mm, what is the temperature stresses produced if 1.5mm expansion is permitted? A. 100mpa B. 200mpa C. 150mpa D. 140mpa Answer» D. 140mpa? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steel rod of 3m is manufactured at 250C the temperature of rod is increases to 1250C. If free expansion is 3.6mm, what is the temperature stresses produced if 1.5mm expansion is permitted? A. 100mpa B. 200mpa C. 150mpa D. 140mpa Answer» D. 140mpa?.
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A steel rod of 3m is manufactured at 250C the temperature of rod is increases to 1250C. If free expansion is 3.6mm, what is the temperature stresses produced if 1.5mm expansion is permitted? A. 100mpa B. 200mpa C. 150mpa D. 140mpa Answer» D. 140mpa?, a detailed solution for A steel rod of 3m is manufactured at 250C the temperature of rod is increases to 1250C. If free expansion is 3.6mm, what is the temperature stresses produced if 1.5mm expansion is permitted? A. 100mpa B. 200mpa C. 150mpa D. 140mpa Answer» D. 140mpa? has been provided alongside types of A steel rod of 3m is manufactured at 250C the temperature of rod is increases to 1250C. If free expansion is 3.6mm, what is the temperature stresses produced if 1.5mm expansion is permitted? A. 100mpa B. 200mpa C. 150mpa D. 140mpa Answer» D. 140mpa? theory, EduRev gives you an
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