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A steel hub of 100 mm internal diameter and uniform thickness of 10 mm was heated to a temperature of 300°C to shrink-fit it on a shaft. On cooling a crack developed parallel to the direction of the length of the hub. Consider the following factors in this regard:
1. Tensile hoop stress
2. Tensile radial stress
3. Compressive hoop stress
4. Compressive radial stress
The cause of failure is attributed to 
  • a)
    1 alone
  • b)
    1 and 3
  • c)
    1, 2 and 4
  • d)
    2, 3 and 4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A steel hub of 100 mm internal diameter and uniform thickness of 10 mm...
A crack in the hub shall develop parallel to the direction of its length due to tensile hoop stress.
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A steel hub of 100 mm internal diameter and uniform thickness of 10 mm...
°C. The coefficient of thermal expansion for steel is 11.7 x 10^-6 / °C.

To calculate the final diameter of the hub after heating, we can use the formula:

ΔL = αLΔT

Where ΔL is the change in length, α is the coefficient of thermal expansion, L is the original length, and ΔT is the change in temperature.

Since the hub is uniform in thickness, we can assume that the change in length will be the same for both the inner and outer diameters. Therefore, we can calculate the change in length for the inner diameter:

ΔL = (11.7 x 10^-6 / °C) x (100 mm) x (300°C) = 0.351 mm

The final diameter of the inner hub will be:

D = 100 mm + 2ΔL = 100.702 mm

Similarly, the change in length for the outer diameter will be:

ΔL = (11.7 x 10^-6 / °C) x (120 mm) x (300°C) = 0.4212 mm

The final diameter of the outer hub will be:

D = 120 mm + 2ΔL = 120.8424 mm

Therefore, after heating to 300°C, the steel hub will have an inner diameter of 100.702 mm and an outer diameter of 120.8424 mm.
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A steel hub of 100 mm internal diameter and uniform thickness of 10 mm was heated to a temperature of 300°C to shrink-fit it on a shaft. On cooling a crack developed parallel to the direction of the length of the hub. Consider the following factors in this regard:1. Tensile hoop stress2. Tensile radial stress3. Compressive hoop stress4. Compressive radial stressThe cause of failure is attributed toa)1 aloneb)1 and 3c)1, 2 and 4d)2, 3 and 4Correct answer is option 'A'. Can you explain this answer?
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A steel hub of 100 mm internal diameter and uniform thickness of 10 mm was heated to a temperature of 300°C to shrink-fit it on a shaft. On cooling a crack developed parallel to the direction of the length of the hub. Consider the following factors in this regard:1. Tensile hoop stress2. Tensile radial stress3. Compressive hoop stress4. Compressive radial stressThe cause of failure is attributed toa)1 aloneb)1 and 3c)1, 2 and 4d)2, 3 and 4Correct answer is option 'A'. Can you explain this answer? 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 hub of 100 mm internal diameter and uniform thickness of 10 mm was heated to a temperature of 300°C to shrink-fit it on a shaft. On cooling a crack developed parallel to the direction of the length of the hub. Consider the following factors in this regard:1. Tensile hoop stress2. Tensile radial stress3. Compressive hoop stress4. Compressive radial stressThe cause of failure is attributed toa)1 aloneb)1 and 3c)1, 2 and 4d)2, 3 and 4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steel hub of 100 mm internal diameter and uniform thickness of 10 mm was heated to a temperature of 300°C to shrink-fit it on a shaft. On cooling a crack developed parallel to the direction of the length of the hub. Consider the following factors in this regard:1. Tensile hoop stress2. Tensile radial stress3. Compressive hoop stress4. Compressive radial stressThe cause of failure is attributed toa)1 aloneb)1 and 3c)1, 2 and 4d)2, 3 and 4Correct answer is option 'A'. Can you explain this answer?.
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